Physics Friction Lab

Friction Page 1 Lab: Friction William Morris Leo Hayes High School Friction Page 2 Purpose: To investigate the coefficient of friction for a given surface and the effects that factors such as weight, surface area and changes to the surface have on the coefficient of friction. Hypothesis: The smaller the amount of normal force (weight), the less friction created and the least surface area and the greaser the surface the less friction is created. With the increase in normal force corresponding with the increase in friction should balance out â€Å"mu†. Materials: Spring scale, string, 4 textbooks, PledgeProcedure: 1. Using a spring scale and some string we hooked through the pages of the text book to find the weight to find the weight of each text book we used and then recorded it. 2. We pulled the first text book across the table then estimated the amount of force we needed to apply to the scale attached to the text book to move it at a constant speed and then recorded our gues s. 3. Using the string and spring scale we pulled the text book across the table at a constant speed keeping the string parallel to the surface of the table and then recorded the data. . From this measured force below, we determined the frictional force that had acted upon the book as we pulled it across the table. 5. Then we pulled the book across the table once more at a different constant speed to ensure accurate friction readings. 6. From the weights of the text book we found earlier we determined the normal force acting on the text book as we pulled it across the table and then recorded it below. 7. We added the second text book, (B), to the first one and pulled them across the table again recording their force of friction. 8.We then repeated this procedure twice more adding a text book each time as recorded below. 9. We then pulled text book, A, on its spine across the table at a constant speed recording the force from the scale. 10. We pledged the table and rubbed it thorough ly with a cloth and then repeated only step 3 on this pledged surface and recorded the force required. Friction Page 3 Questions: 1. Compare the books weight with the force required to pull it horizontally at a constant speed. Which one is larger? In all cases the normal force is larger than the force of friction. 2.It always takes more force to start an object than to keep it moving at a constant speed. Why? Friction is caused by tiny scratches in the smoothness of a surface. The rougher a surface is, the rougher it feels. And the rougher a pair of surfaces are, the harder it is for them to slide past each other. The tiny rough edges grab hold of each other and lock the surfaces into place, so that it takes a great deal of force to make them move. That's the static friction you're trying to overcome. Once you get the surfaces moving the rough edges are already dislodged and as long as you don't stop, they won't have a chance to lock again.Therefore, it's easier to keep something mo ving once you've started than it would be to stop and start again. 3. Does it take more force to move an object at a higher constant speed than a slower constant speed? In our lab the force seemed to stay the same. This could have something to do with our sources of error. The lab did not reveal this. 4. The force of friction was found in part 3. Would it be more or less if you pulled the text book across: (a) Ice(b) Sand(c) Rough Concrete(d) Waxed Floor How is the force of friction affected by changing the surface from smooth to rough? a) Less friction (b) More friction (c) More friction (d) More friction A rough surface has more grooves to grab than a smooth surface therefore creating more friction. Friction Page 4 5. Does the force of friction depend on the speed of motion? In our lab it was impossible to figure this out due to our sources of error. 6. Write an equation showing the relationship between the force of friction and the normal force. Use this equation to calculate the coefficient of friction for each set of readings. 7. What are the units for â€Å"mu† , the coefficient of friction?There is no unit measurement for the coefficient of friction. 8. Plot a full page graph of the force of friction verse the normal force. See graph on following page for the force of friction verse the normal force. 9. Based on your graph what is the relationship between the coefficient of friction verse the normal force. The relationship between the coefficient of friction verse the normal force is such that the coefficient is the same because the increase in normal force corresponds with the then increase in friction creating the same â€Å"mu†. 10.How do the coefficients of friction compare for each of your five trials in the data table? Is this how they should be? With a smoother surface the friction is lowered therefore lowering â€Å"mu†. This is how it should be. Friction Page 5 Data/Results: Books| Normal Force| Friction|  µ| A| 10. 5 N| 2. 5 N| 0. 24| A + B| 20. 5 N| 5. 0 N| 0. 24| A + B + C| 31. 5 N| 7. 5 N| 0. 24| A + B + C + D| 42. 5 N| 10. 0 N| 0. 24| Book A on spine| 10. 5 N| 2. 0 N| 0. 20| Books A on Pledged Surface| 10. 5 N| 2. 0 N| 0. 20| Books| Normal Force (weight)| A| 10. 5 N| B| 10. 0 N|C| 11. 0 N| D| 11. 0 N| Discussion: There are several sources of error in this lab. One being the scales not being accurate and there is no way to fix this except to purchase new scales each time. Another could be the angle we are pulling the book from. There is no way for us to be exactly sure if this force is exactly parallel with the table. When finding our normal force we do not take into consideration the weight of the string and this cannot be fixed as our scales are not this precise. It is unknown if our hand was completely steady while finding our normal force.This could result in our normal force being inaccurate. There is no way to fix this as we are not robots. The same is true for finding the force of frictio n as we are not sure we are pulling the book(s) at the same constant speed. Conclusion: After the lab I found my hypothesis to be true in that the smaller the amount of normal force (weight), the less friction created and the least surface area and the greaser the surface the less friction was created. With the increase in normal force corresponding with the increase in friction it balanced out â€Å"mu†.

The Role of the Supreme Court, Government, Economics, and Protests in the Civil Rights Movement

The Role of the Supreme Court, Government, Economics, and Protests in the Civil Rights Movement There were four different elements that contributed to the success of the Civil Rights Movement: the Supreme Court, the Government, the economic situation of the time, and the protests of the movement. The role, which the Supreme Court's played in the success of the civil rights movement, was essentially one of neutrality. The Supreme Court ordered the segregation of schools and other public facilities, known as the policy of separate but equal. But the Supreme Court, also, declared the separate but equal laws unconstitutional and ordered desegregation. The different parts of the United States government played different roles. John F Kennedy and the executive branch helped to protect the nonviolent protesters from violent acts against them as well as issuing executive orders, such as banning employment discrimination. Congress helped by passing laws in favor of the black, such as the Civil Rights Act of 1964, one of the great victories in the Civil Rights movement.Civil Rights Act o f 1964The economics of the day placed many blacks in ghettos in the north, this situation allowed them to organize themselves to protest segregation. The protests of the movement showed the country how the black were treated and that all they wanted was to be treated fairly, the protests also allowed them to make themselves a nuisance for the police and government to deal with.The Supreme Court made some of the major decisions that instituted segregation in the late 1800s and some of the major decisions that brought about integration in the 1950s. In 1896, with the court case of Plessy v Ferguson the Supreme court decided to segregate "intrastate railcars" between white and black (Constitutional). "This decision legitimized the segregation of American society under the 'Separate but Equal' doctrine" (Constitutional). Then in 1954 with the court case of Brown v Board of...

Prepositions for the Perplexed

Prepositions for the Perplexed Prepositions for the Perplexed Prepositions for the Perplexed By Maeve Maddox Judging by the comments on the When to use on and when to use in post, I wasnt the only one to get out of school with less than a complete grasp of what a preposition is or does. When I was in high school, I never could pick out prepositional phrases. Oh, I memorized the lists of prepositions like in, on, up, with, to, and from. I just couldnt figure out how they worked in a sentence. After all, some of the words in the list could also be used as adverbs: I went to the river and jumped in. A word isnt anything until it is used in a sentence. It wasnt until I started teaching English that I finally got prepositions. Prepositions are joining words. They join something to a noun (or pronoun). George V was King of England. The preposition of joins the noun King to the noun England. The joining adds information to the noun King. The boy played in the water. The preposition in joins the verb played to the noun water. The joining conveys where the playing took place. The boy in the water is my brother. Here the preposition in joins the noun boy to the noun water. This joining identifies a particular boy, distinguishing him from a possible boy on the beach or boy in the boat. Prepositions are said to govern nouns (or pronouns). The usual position of a preposition is in front of the noun it governs. A prepositional phrase is the preposition and its noun, plus all the words that come between. Sometimes a prepositional phrase consists of just the preposition and the noun (or pronoun) that it governs: This book is by Tolstoy. (preposition by, noun Tolstoy) Sometimes the phrase has several words between the preposition and the noun governed: We went to the new outlet mall. (preposition to, noun mall) Prepositional phrases function as parts of speech. The boy in the water is my brother. (in the water tells more about boy.' The phrase functions as an adjective describing boy. Hes the in-the-water boy.) The dog is swimming in the water. (in the water tells where the swimming is taking place. The phrase functions as an adverb modifying swimming.) Although the preposition usually comes before the noun it governs, English permits us to place the preposition at the end of a sentence. (Purists abhor this construction, but it is very natural in English.) Ex. Whose house do you want to meet at? (The prepositional phrase is at whose house.) By the way, it is this practice that is contributing to the decline of whom as the object form of who. The ear recognizes the need for whom when to precedes it, but not when the to is far removed: Who do you want to speak to? as opposed to To whom do you wish to speak? As for wanting rules that will explain every prepositional expression such as in the army, on the team, at the hour, or in a monthsave your energy. They dont exist. Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Grammar category, check our popular posts, or choose a related post below:Addressing A Letter to Two PeopleEmail Etiquette20 Clipped Forms and Their Place (If Any) in Formal Writing

Frankenstein-Vol.3 Essay Example | Topics and Well Written Essays - 500 words

Frankenstein-Vol.3 - Essay Example In brief, Victor who is the creator of an evil creature now wants to get rid of him but he could not do so as the creature has constantly kept an eye on him. The creature wants Victor to create a female for him just like he created him joining pieces of several corpses. He gets threatening notes from the creature that in case of failure to do so; the creature will not let Victor marry Elizabeth. Victor has become the creatures "slave," and his life is entirely of the creatures design. It is no longer clear who is the creator, who the creation. Victor, after experiencing several phases of fear and depression within him decides to fulfill the desire of the creature but Frankenstein is repulsed by the thought that the two monsters might beget children; thereby creating a new race that could ultimately destroy all humanity. Victor decides that unleashing such a bane upon mankind would be of the utmost selfishness and tears the half finished creature (bride of creature) into pieces. The c reature upon knowing about the broken promise intimidate Victor with a chilling promise that the creature would be with him on his wedding night. The creature murdered his friend ‘Henry’ and Victor was held responsible for his murder. Victor lies in a delirium of fever and confusion. When Victor finally emerges from his delirium he immediately asks after the safety of Elizabeth. His fathers presence slowly begins to regain his health and after getting through such a dilemma, he marry Elizabeth but just before his wedding night, Elizabeth was murdered and ruined by the creature. Mary Shelley wants the reader to realize that no human has the power to create another being and if it becomes possible, the resultant would nothing but the evil who will, unlike humans not consider his creator to be his master. I, however agree with this fact that only God has the power to create beings, therefore they could not threaten him. I agree upon the truth the writer wanted the

Shakespeare's Othello Essay Example | Topics and Well Written Essays - 750 words

Shakespeare's Othello - Essay Example Desdemona’s father’s assumption that she will marry a handsome man of his choice proves wring. He never imagined that his daughter is an individual of independent opinions. She tells Brabantio how she loves Othello and gives perfect logic for her action. Desdemona is proud of her beauty and believes that she can influence men easily, and this is an indication that she is not a mature woman. Lovers who are easily won over are also easily lost and as such that type of love is not true love but infatuation. Even though Desdemona is an attractive young woman, she is stubborn when it comes to her own interest and she will cross any loyalty to go by her inclinations. Her talk with her father is intelligently presented, she is respectful to him, she feels obliged to him on many counts, but makes it clear that her loyalties have changed with the time. She understands the reason for her father’s wrath and yet her decision to leave him is final. Reason is enemy number one of love and love will ambush reason at the most unexpected time. When Desdemona’s father was thinking that his daughter is absolutely loyal to him, she had perfected her alternative plans tactfully but boldly. She had fallen for Othello and would not like to lose time in cementing the relationship. In this context she devises a plan in pursuit of love which would not have occurred in a woman’s mind belonging to the 21st century. Desdemona pleads with Othello to find a friend to woo her by telling the stories related to his valor. This means that she was encouraging Othello to court her directly. Iago blows hot and cold into the relationships of her father and Othello. His intentions are not sincere and he wears the mask of a well-wisher and counselor of Desdemona. Just for loving Othello, Desdemona cannot be condemned. In the conventional societal norms of the

Literature review Research Paper Example | Topics and Well Written Essays - 2500 words

Literature review - Research Paper Example Accordingly, the managers and administrators of an organization are necessitated to acquaint themselves with the required competencies that are of extreme importance for the success of the organizations. This indicates that the respective managers and administrators of various organizations globally should acquaint themselves with the latest knowledge, managerial attitudes and skills and other forces for enabling the organizations to manage the changes and also at the same time stand out in this competitive market. Thus, for achieving successful results and remaining competitive in the modern dynamic world, the organizations focus on several organizational developmental (OD) practices. The OD practices are built on unique core values and philosophies that ultimately guide the organizations’ actions and behaviors. The practices are considered value-based principles and include the five most important values. The first value is that of inclusion and respect of the opinions and b eliefs of each and every individual for taking up decisions. Secondly, OD practices include collaboration that enhances the organizations’ cohesion with clientele in a comprehensive client system. The OD practices also accounts for authenticity and strive for congruence to enhance qualities of the clients. Self-awareness is another important OD practice influenced by the organizations which is aimed towards development of interpersonal skills along with self-awareness. Finally, the OD practice includes the aspect of empowerment that concentrates on helping every individual in the client organization with the objective of enhancing their empowerment and self-sufficiency that can transform the workplace into productive and satisfying working conditions (Sheldon, 2010). 2. Purpose/Problem Statement In the present paper, the role and the function of the OD practices in the successful performance of an organization will be invested with respect to various researches performed on t he current scope of the organizational development. It is hypothesized that the organizations that concentrate heavily on the OD practices are more likely to achieve success than the organizations that follow traditional trend and does not consider the current dynamic environmental nature. The action plan for examining the hypothesis will be broadly discussed in the methodology section of this research paper and the findings from various researches involved will be presented in the next section. This hypothesis has been specifically chosen for the present research because OD is believed to be focused on transfer of knowledge and skills to the organizations so that the organizations become more capable of managing the future anticipated development (Cummings, 2004). This statement of the nature of OD instigated the notion of examining the effectiveness of OD and this is presumed to be accomplished by reviewing the performance of those organizations which undertake the practices in OD . 3. Methodology The examination of the hypothesis will be undertaken through review of six important literatures based on researches conducted by researchers during the past. The six important literatures have been collected through the help of scholarly articles. These produce significant literatures with presentation of the respective literatures’

High Power Continuous Wave Fiber Laser System

High Power Continuous Wave Fiber Laser System Introduction of High Power Fiber Laser The optical fiber with very high surface-to-volume ratio and a strong waveguide effect provides the fiber based laser source the potential to generate high power laser beam with high quality. In addition to the capacity of generating raw optical power with high beam quality, the fiber laser system has other appealing features, such as supporting robust and compact system designs, allowing ultrashort pulse operation, offering a board wavelength tunability, and providing high gains. Those features stimulate the research on the high power fiber lasers system, and lay the foundation of novel appealing applications, such as remote material processing, aerospace and defense. In the past decade, a remarkable increase of the powers produced by fiber lasers with high beam quality has been achieved (see Fig.1). As a result, the high power laser becomes strong counterpart of the solid-state bulk laser, and penetrates rapidly into areas that formerly other lasers were used. Literature Review In the early 1960s, the first fiber laser was demonstrated by Snitzer. The doped fibers potential for high optical gain was revealed by David Payne and co-researchers working on Neodymium- doped fibers in mid 1980s . In 2009, the high power fiber laser, which based on a specifically silica-host ytterbium-doped fiber-based laser (YDFL), obtained 10 kW output in the single-mode (SM) regime. Although architectures are different, the high-power fiber lasers and amplifiers are mostly archived with rare-earth-doped (RE-doped) double-clad fibers. The double-clad fiber, which was initially demonstrated in 1988, provided the option of cladding pumping, and proved to be one of the key technologies for power scaling. The structure of this double cladding is that the active RE-doped core is surrounded by a much larger inner cladding (see Fig. 2), and are encircled together by out cladding. The pump beam emitted by fiber-coupled high-power diode bars or other kinds of laser diodes is coupled into the inner cladding, and confined within it by an outer cladding. The confined pump beam will be absorbed into the core while it propagates along the fiber. The laser light is generated in the central core, and the laser light can have very good beam quality even diffraction limited beam. Thereby, by means of double cladding configurations one realized the conversion from low brightness p ump to high brightness single-mode fiber laser output. As the spatial and angular pump acceptance [can be expressed as the product of area and the square of the numerical aperture (NA)] for the inner cladding is significantly improved to the core pump, Such conversion is more effective, and close to 5 orders have been demonstrated experimentally. Among high power RE-doped fiber lasers, the YDFL is notable in term of high power. The Ybs broad absorption band extends from 900 to 980 nm (see fig 3), covering high power pump LDs best performance wavelengths, offers a low quantum defect [energy difference between pump and laser photons] for pumping with 9xx nm LD and lasing above 1040nm. This superior property offers the potential for achieving very high power efficiencies and reducing thermal effects. In addition, lasing at wavelength above 1040nm, the Yd ion shows a simple four level structure, that excludes excited state absorption and also a variety of detrimental quenching processes allowing high doping concentrations, which means high pump absorption per unit length. On the contrary, the small quantum defect also has a usually unwanted consequence: the significant quasi-three-level behavior, especially when lasing at short wavelengths (less then 1040nm), that will cause a high threshold and decrease the power efficiency. Fig. 2. Structure of a double-clad fiber and principle of cladding-pumping The Nd doped laser emitting at 1060 nm is a four-level system, which means a lower laser threshold. Associated with the relatively advanced state of 808 nm diodes for pumping Nd:YAG, this made Nd the choice for high power fiber lasers in early stage. Todays high power pump diodes in 9 xx nm are sufficiently bright to make threshold unimportant for most quasi-three-level high power fiber lasers. These overcome the obstacle of ytterbiums higher threshold and raise advantages of a lower quantum defect and higher doping concentration with quench-free. The first single-mode Yb doped fiber laser with output power over 100 W was demonstrated in 1999 , and it illustrated that the advantages of Yb doped double cladding structure can support for further increase in the average power by scaling the size of the optical fiber and the power of pump diode source. Soon after that, the power of cladding pumped YDFL obtained the kilowatt level. Thereafter, by investigating the large-area core design a nd fabrication, the single-mode operation in kilowatt level was realized that would not have been possible for Nd doping. Figure 3: Absorption and emission cross sections of ytterbium-doped germanosilicate glass, as used in the cores of ytterbium-doped fibers. Another sophisticated technique which is adopted in all double-clad fiber lasers at 3 kW and above, is tandem-pump [in-band pumping with high-brightness pump sources, such as one or several fiber lasers, or thin disk laser]. The tandem pump makes it possible to pump close to the emission wavelength so that the quantum defect heating will be low resulting in a reduced thermal load. Actually, some advanced solid-state lasers, such as thin disk laser, is well matched with requirements of in-band high brightness pumping source, and 1 KW level output thin disk laser pumped fiber laser have been realized. Nonlinearities are an issue to further increase the CW output power of the fiber laser. The fiber laser considered above such as in Fig. 1 has operated with linewidths in the 110 nm range. In such system with cw operating, excepting at the extremely high powers or long delivery fibers, the stimulated Raman scattering (SRS) is a weak effect and is relatively easy to prevent. However, for output power above 10 kW, the Raman gain can become so high (tens of decibels) that a considerable part of the power is transferred to a longer-wavelength Stokes wave, reducing the power in the signal wavelength. There are some applications need single frequency sources which can provide light power with narrower spectral line width, such as coherent beam combination of multiple single frequency fiber sources with high power. This scheme offers a promising method for further power scaling, and consequently this stimulates interest in single-frequency power scaling. For narrow bandwidth, especially at linewidths less than 10 MHz, the SBS is the dominate nonlinearity and the severe obstacle for high power single-frequency fiber sources. The SBS can be suppressed with shorter fiber and larger mode field area, and output power of hundred watts has been reported with such schemes .However, this power is still less comparing with the bulk solid state laser. There are several options for SBS mitigation, including straining the fiber in order to broaden the SBS gain bandwidth, and reducing overlap between the optical and acoustic fields. The highest power high-gain fiber amplifier can archive 1.7KW. It was realized by combination of the modest spectral broadening with phase modulation and the fiber with enlarged effective mode area. The most effective way to mitigate nonlinearities (excluding self-focusing) is to enlarge the effective mode area by optimizing geometry designs and material choices of fiber structure. Unlike the passive power delivery fiber, this task is more challenge for active fiber, as doping-induced refractive index changing, and thermal stability will be issues. A straightforward design approach to maintain pure single-mode operation is to increase the core diameter, with the NA reducing correspondingly. However, the downside is the waveguide effect gets weaker, and consequently light is easier lost from the core when the fiber is bent. More works on fiber designs for addressing these challenges are related to photonic crystal fibers techniques. It is possible to make single mode operation in a multi-mode supported fiber, by building up preferentially amplify, or attenuate for specific mode, while the mixing or coupling between modes should be controlled to minimum. There have been works focu sed on using differential gain by selective RE doping across the core , and differential-bend-loss by controlled bending of the fiber. The leakage channel and chirally coupled core fibers are designed to selectively couple propagation mode to high loss mode. The high order mode but not the fundamental mode is coupled to leaky mode, which will substantially be attenuated. The multifilament core and multicore fiber arrange filaments or cores in a two-dimensional array. There are evanescent-field coupling among cores, and the overall structure can exhibit single-mode guidance with large mode area. Academic Objectives From the aspect of power generation, Investigation of advanced fiber for mitigating nonlinearity will be still the most critical issue in increasing the output power for cw fiber lasers. It has been estimated that the maximum single core output powers of the ytterbium doped fiber laser should be at several tens of kilowatts level based on present technique. However, single-mode operation is not indispensable for lots of high power lasers applications. The single or near single mode operation in the MM fiber which is developed by balancing the mode quality, the achievable power, and the damage threshold of the fiber, can offer possibilities to archive higher output power. In addition to that, as the emission wavelength of well developed thin disk laser is still covered by the Yb ions absorption band and is more close to the emission band of the Yb ion, the research on novel architecture using thin disk laser to tandem pump the special designed Yb doped fiber laser also offers the pote ntial to increase output power of fiber laser and develop novel fiber laser with useful function. The proposed research will focus on advanced fiber, especially for the evanescent-field coupled waveguides, also called multi-core fibers (MCF). The main aim is to design and realize novel types of active MCF for increasing the output power of fiber laser with good beam quality, and for suppressing the SBS effect. Besides that, Based on the advanced thin-disk laser, and the novel MCF fiber, the investigation on the novel laser architectures will also be performed. The Outline of the Project According to the above proposed objectives, the research work can be divided to two main phases. The first phase will be focused on fiber design and fabrication, and the expected deliverable is the novel active fiber with improved performance in nonlinearity mitigation and bending resistant. The other phase is about the novel fiber laser architecture, and investigation of the novel tandem pump configuration based on thin-disk laser will be performed. Mathematical Model and Design Strategy The main nonlinearities for cw operating fiber laser is SRS and SBS. Although both of them can be mitigated by the enlarged mode area, the SBS is still too strong for increasing the power of single frequency laser in the LMA fiber. The proposed research aimed to suppress the SBS in the LMA fiber for mitigating both SRS and SBS. According to the previous research, the SBS threshold can be expressed by : (1) The ÃŽÂ ±u is acoustic attenuation coefficient for the acoustic mode of order u, Aeff is the optical effective mode area, G(Ñ ´max) is the SBS effective gain coefficient at the peak frequency, K is the polarization factor. We can see form the equation. Beside the mode area, the SBS can be suppressed by increasing the acoustic loss, reducing the overlap integral, and the SBS effective gain coefficient. The is the normalized overlap integral of the electric and acoustic fields and it can be expressed as : (2) The E0 is the optical field associated with the fundamental mode, and à ?u the field of a longitudinal acoustic eigen-mode of order u. The overlap integral can be changed by modifying the fiber refractive index profile and acoustic velocity profile. The acoustic loss can be changed by glass composition design. As different dopants have different effects on optical and acoustic properties, it is possible to create suitable dopants profile in the core and cladding to reducing the overlap integral or increasing the acoustic loss. Table 1 is some common dopants used for making silica glass based fibers. The profile of the optical and acoustic field can be indicated by optical and acoustic refractive indices. Similar to the optical refractive index, acoustic refractive index is defined as na(r) = VL Silica /VL (r) , where VL(r) is the longitudinal acoustic velocity in the core, and VL Silica is the longitudinal acoustic velocity of pure silica glass. Table 1. Trend of optical and acoustic refractive index change of different dopants in silica GeO2 P2O3 TiO2 B2O3 F2 Al2O3 Optical refractive index à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Å" à ¢Ã¢â‚¬  Ã¢â‚¬Å" à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ Acoustic refractive index à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Ëœ à ¢Ã¢â‚¬  Ã¢â‚¬Å" One straightforward approach to modify the loss for optical and acoustic field of a fiber structure is created a type of optical guiding and acoustic anti-guides with a dopant material(Fig 4 (a)), such as Al2O3, and it has been demonstrated in . The other approach is to reduce optical and acoustic field overlap, with different dopants in the core (Fig 4 (b)). The resultant optical and acoustic refractive index profiles of above approaches are shown below. (b) Fig. 4. Dopant designs for reducing the overlap of the optical and acoustic fields The strategies shown in fig 4 are based on single core fiber. There are quite a few research works on improving the effective mode field in single core fiber, and it is little room to enlarge the effective mode field areas further without detrimental effect in single core fiber LMA. Recently, multicore fiber based LMA has been investigated as passive delivery fiber , and as active fiber in the novel laser architecture. The supported optical mode field of MCF can be designed by core size and core interval; the profile of the acoustic and optical field can be modified by the distribution of dopants and doping area size; and the loss of the optical and acoustic can be controlled by doping material. Thus, it is worth investigating a novel active MCF supporting a few modes or only single supermode with the reduced overlap between the acoustic and optical field. Optical Index Al Yb Ge F/B Acoustic Index Fig 5 the schematic of the proposed 19 core double cladding fiber A fiber design strategy to suppress the SBS is shown in Fig 5. An optical guide while acts as an acoustic anti-guide in the effective optical field areas of MCF will be fabricated by manipulating dopants in core and cladding, for example as shown in fig 5, by choosing Al2O3 in core and GeO2 in cladding. Because the fields of optical and acoustic are separated, the interaction between the optical and acoustic waves is weaker. Furthermore, the MCF will be designed to support a few modes or only one supermode, that benefits for manipulating refraction index to increase threshold of the SBS in the single mode MCF, as the à ¢Ã‹â€ Ã¢â‚¬  n=neffà ¢Ã‹â€ nclad of single mode MCF is larger than single mode single core fiber(SMF), for example, the index difference à ¢Ã‹â€ Ã¢â‚¬  n=neffà ¢Ã‹â€ nclad is 3.69ÃÆ'—10à ¢Ã‹â€ 4 in the case of the 19-core fiber reported in and only 1.60ÃÆ'—10à ¢Ã‹â€ 4 for the SMF, providing more room of à ¢Ã‹â€ Ã¢â‚¬  n for manipulating dopants. Finally, the reference value of parameters such as the diameter of each core, the core interval, and the doped areas of each core, will be archived by numerical calculation. Numerical Calculation The optical field in the waveguide can be solved by numerical calculation the Maxwell equations. Like the optical field, by numerical calculating the nonlinear acoustic equation, the acoustic field can be obtained. After that the SBS threshold can be calculated with equation (1), (2). From the nonlinear acoustic equation, we can obtain the equation that determines the longitudinal acoustic eigen-modes. The acoustic modes that contribute to the SBS associated with the optical fundamental mode have constant azimuth. Neglecting the damping factor, the radial distribution of such a mode can be expressed as: (3) The ÃŽÂ ©u is the acoustic frequency and the ÃŽÂ ²u is the propagation constant of the acoustic mode, VL(r) is the longitudinal acoustic velocity profile across the fiber. The wave equation for optical field in waveguide is derived from the general Maxwell and can be written as: (4) The EO is the optical field, ko=2p/l is the wave number of the optical field, and no(r) is the refraction index profile across the fiber. The optical mode is efficiently backscattered by the acoustic mode when the phase-match condition, ÃŽÂ ² = 2ÃŽÂ ²u, is fulfilled, where ÃŽÂ ² is the propagation constant of the optical field. The ÃŽÂ ² is determined by the optical wavelength ÃŽÂ », the effective refractive index no,eff, and it can be expressed as: ÃŽÂ ² =kono,eff=2pno,eff/l. Determined by the structure, the acoustic field in the proposed 19 core fiber is confined in the inter cladding, and the acoustic index can affect the confining effect. As the position of inter cladding is fixed, once the doping concentration is chosen, the acoustic field will be determined. The optical field in the MCF is determined by both the doping concentration and the geometry structure of the MCF. It is the geometry structure of the MCF provides the extra room to design the optical field with desired mode. The field of a longitudinal acoustic (à ?u) can be numerical calculated with finite-element method. beside the finite-element method, previous research has indicated the à ?u can be solved by utilizing the solver for optical scalar wave equation after defining a few new terms for acoustic wave. to numerical solve the equations (4), as numerical calculation by the finite element method is still valid when strong coupling exists between the different cores, the mode structure of the optical filed in the MCF is also calculated by finite-element method based on commercial available software such as Fimmwave or Comsol-Multiphysics. After knowing the à ?u and the EO, the can be calculated by taking the à ?u and E0 into equation (2). Finally, taking the into equation (1), the Pth of the designed fiber can be obtained. The theoretical M2 propagation factor can be computed with the method in. For a doping state, different Pth value and mode structures can be achieved for different geometry parameter, such as single core diameter and core interval. Optimizing the geometry parameter is necessary to get the high Pth value with good mode structures. Finally, repeatedly implementing above step for different doping condition, a series of optimized reference parameters can be obtained. The home institute IFSW has equipped the fiber manufacturing facility consisting of a modified chemical vapor deposition (MCVD) preform production lathe and the new commissioned drawing tower. The prototype of the proposed double-clad MFC fiber will be produced in the IFSW by the stack and draw technique. Investigation on the Laser Architectures The mode field mismatch and high operation power set the obstacles on employing the state of art fiber communication components in the high power laser architecture. Beside that some of critical components for high laser, such Bragg gratings in the LMA cores, large mode area pump coupler or combiner for high power diode are still in the initial stages. Above aspects cause the architecture for the exited high power laser is limited comparing with well developed communication band fiber laser. Most of the previous research on increasing the output power focused on developing the LMA fiber. As the difficulty of increasing the output power by enlarging the mode field is increasing continuously, it is time to consider improve the laser output from other aspect. The high brightness power scalable thin disk laser acting as the in-band pumping source can generate less quantum defect heat than 9ÃÆ'—ÃÆ'—nm laser diode, providing the potential to developing novel or improving existed laser structure by using components which are thermal damage or degradation sensitive. Thus there are rooms to increase the output power or improve the efficiency by developing the laser architecture with thin disk laser and special designed high power components. One of proposed architecture improvements is to replace the butt-coupled HR-mirror in the existed laser with the Bragg grating in the core of the double cladding fiber. Fig 6 (a) the butt-coupling mirror based laser architecture Fig 6 (b) the FBG based laser architecture FBG1,2 reflectors for the laser radiation; FBG3 reflectors for the pump light; The reflection rate of the FBG1 is around 99%, that of FBG2is around 50%. For the butt-coupled mirror based laser architecture (Fig 6 (a)), as the butt-coupled mirror will reflect both the pump light and the laser radiation on a very small area, the energy densities will be extremely high in core and cladding near the conjunct point. To withstand such high power densities, special material substrate such as the sapphire is needed to remove the heat very quickly. Even though, the core power density is still close to the damage threshold of the mirror coating. Furthermore, as the pump wavelength is closed to the laser radiation wavelength, to fabricate the dichroic mirror will be rather difficult. Although the Bragg grating inside the fiber core still has the problem of thermal damage, the damage threshold of FBG will be higher than mirror face. Considerable power increasing is expected for replaying mirror with the Bragg grating. From the aspect of fabrication, the wavelength of the Bragg grating is determined by the mask period and the refraction index of the fiber core, it will be easy to fabricate two FBG with spectrum interval larger than 4nm, which is enough to separate the in band pump light and laser radiation. Finally the FBG also can provide the facility to control the laser wavelength, and the laser output wavelength will be determined by the corresponded reflector. In fig 6 they are FBG1,2. Fig 7 the proposed hybrid laser architecture DMCF: doped multicore double cladding fiber, SMF: single-mode fiber, PMSF: polarization maintained single mode fiber ISO1: polarization dependent optical isolator, Amp: amplifier, DM: dichroic mirror, BS: beam splitter,Li (i = [1; 5]): plus lenses, FBG1: fiber Bragg grating for laser radiation, FBG2: fiber Bragg grating for pump light, PZT: Piezoelectric Ceramics Limited by components, many well developed communication fiber laser techniques such as wavelength tuning and polarization stabilizing cannot be projected to high power fiber laser area directly. A promising method to solve the problem is to develop hybrid architecture which employs a low power single mode fiber feedback loop to control the high power laser. By applying the advanced communication laser techniques in the single mode feedback loop, the high power fiber laser with wavelength tuning and polarization stabilizing can be realized. The proposed hybrid laser architecture with wavelength tuning and polarization stabilizing is shown in fig 7. The thin disk emitted pump light is coupled to the double cladding fiber with a dichroic mirror and a plus lens. The FBG in pump wavelength is employed in the far end of the active fiber. A small part of the emitted beam is reflected and coupled to the feedback loop whereas the most of power is coupled out from the laser cavity. The lens set (L4 to L6) constitutes a free-space imaging system for projecting the far field of the DMCF onto the input face of the SMF. Polarization independent optical isolators and circulator in the feedback loop determined the light traveling direction and eliminated the unwanted reflected light. Furthermore, the polarization independent optical isolator shapes the light to single polarization state, which will be persevered in the feedback loop by polarization maintained fiber. The FBG1 is fixed in a stretch preloaded piezoelectric ceramics, and the reflected wavelength can be tuned slightly by driving the PZT with Bi-directional signal. After passing th e feed pack fiber, the DMCF will amplify the seed laser radiation, and consequently power will be scaled and the polarization can be preserved.