Modeling Bessel Beams and Their Discrete ...

World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Vol:10, No:2, 2016

       International Science Index, Mathematical and Computational Sciences Vol:10, No:2, 2016 waset.org/Publication/10003600

 

—                                                                                                            

—       

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                                                                                                                                                        

International Scholarly and Scientific Research & Innovation 10(2) 2016

                                                                                                                                                                                                                                                                 

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World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Vol:10, No:2, 2016

             

International Science Index, Mathematical and Computational Sciences Vol:10, No:2, 2016 waset.org/Publication/10003600

                                                                                                                                                                                                                         ≤  ≤   –  ≤  ≤                                  

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

                     



  

  

  

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 

 

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



 

                                                                                                                                     

 

  



 

 



 

                 

International Scholarly and Scientific Research & Innovation 10(2) 2016

      

  

   







 



   



     − ≤  ≤                            

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scholar.waset.org/1999.7/10003600

World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Vol:10, No:2, 2016

   

     

   















 

 



  





 

     



          











 

 

     











   

     

     

  

 















  

          





 International Science Index, Mathematical and Computational Sciences Vol:10, No:2, 2016 waset.org/Publication/10003600









          

        

 

 





 

      



 

 





   

 

                         

      



  

 



  



  





 

     

          













 

 

     





         

  

 













  









          







           

    

 





   



                                                                                                                             

International Scholarly and Scientific Research & Innovation 10(2) 2016

                                                                                                                                                                                                                                                                         

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scholar.waset.org/1999.7/10003600

World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Vol:10, No:2, 2016

                                                       



International Science Index, Mathematical and Computational Sciences Vol:10, No:2, 2016 waset.org/Publication/10003600

 

                                



                                                                                                                                                                

International Scholarly and Scientific Research & Innovation 10(2) 2016

  

                                               

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scholar.waset.org/1999.7/10003600

International Science Index, Mathematical and Computational Sciences Vol:10, No:2, 2016 waset.org/Publication/10003600

World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Vol:10, No:2, 2016

                                                – ≤  ≤ 0.3                                             

                                                                           

                    

           

       ≈ 21.3 nm, immersed in water. The                   

International Scholarly and Scientific Research & Innovation 10(2) 2016

                                             

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scholar.waset.org/1999.7/10003600

International Science Index, Mathematical and Computational Sciences Vol:10, No:2, 2016 waset.org/Publication/10003600

World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Vol:10, No:2, 2016

                                                                                                                                                                                                                                      

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      Li, “Optical tweezers technique and its applications,”         –              Rached, “Stationary optical wave            frozen waves,” –           “Theory of ‘frozen waves’: modeling the shape of stationary wa fields,” –            “Diffraction aperture generations,”      –           Rached, “Frozen waves: experimental generation,”      –       J. Durnin, J. J. Miceli, and J. H. Eberli, “Diffractionfree beams,”  −1501, April 1987.

International Scholarly and Scientific Research & Innovation 10(2) 2016

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J. Durnin, “Exact solutions for nondiffractin     theory,” −654, Ap           Dholakia, “Simultaneous micromanipulation in multiple    reconstructing light beam”,     −        . Dholakia, “Interfering Bessel beams for optical micromanipulation,” −659,  A. N. Rubinov, A. A. Afanas’ev, I. E. Ermolaev, Y. A. Kurochkin, and S. Y. Mikhnevich, “Localization of spherical particles under the action             Gans approximation”, −572, July 2003.           McGloin, E. M. Wright, and K. Dholakia, “Optical levi light beam”,    −             Zemánek, “Transverse particle dynamics in a Bessel beam”,     −        Rached, “Analytical approach of ordinary frozen waves for optical trapping and micromanipulation,” −2593, April 2015. L. A. Ambrosio, and M. de M. Ferreira, “Time          Bessel beams,” −     Rached, “Optical forces experienced         frequency Bessel beams,”  −         Figueroa, “             ,”       −                  Russell, and C. L. Cesar, “Expansion of arbitrary electromagnetic fields in terms of vector spherical wave functions,”    “      ”      –        “     ”       –     “       ”    “  –          “     ”        –        “     ”     –           “    ”          –                  “    ”  –       “        ”  –        “    ”      –

scholar.waset.org/1999.7/10003600