1. Durnin, J., "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A, Vol. 4, No. 4, 651-654, 1987.
doi:10.1364/JOSAA.4.000651        Google Scholar

2. Gutierrez-Vega, J. C., M. D. Iturbe-Castillo, and S. Chavez-Cerda, "Alternative formulation for invariant optical fields: Mathieu beams," Opt. Letters, Vol. 25, No. 20, 1493-1495, 2000.
doi:10.1364/OL.25.001493        Google Scholar

3. Bandres, M. A., J. C. Gutierrez-Vega, and S. Chavez-Cerda, "Parabolic nondiffracting optical wave fields," Opt. Letters, Vol. 29, No. 1, 44-46, 2004.
doi:10.1364/OL.29.000044        Google Scholar

4. Jauregui, R. and S. Hacyan, "Quantum-mechanical properties of Bessel beams," Phys. Rev. A, Vol. 71, No. 033411, 2005.        Google Scholar

5. Rodriguez-Lara, B. M. and R. Jauregui, "Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry," Phys. Rev. A, Vol. 78, No. 033813, 2008.        Google Scholar

6. Rodriguez-Lara, B. M. and R. Jauregui, "Dynamical constants of structured photons with parabolic-cylindrical symmetry," Phys. Rev. A, Vol. 79, No. 055806, 2009.        Google Scholar

7. Rodriguez-Lara, B. M. and R. Jauregui, "Single structured light beam as an atomic cloud splitter," Phys. Rev. A, Vol. 80, No. 011813R, 2009.        Google Scholar

8. Zhang, L. and P. L. Marston, "Optical theorem for acoustic non-diffracting beams and application to radiation force and torque," Biomed. Opt. Express, Vol. 4, No. 9, 1610-1617, 2013.
doi:10.1364/BOE.4.001610        Google Scholar

9. Wulle, T. and S. Herminghaus, "Nonlinear optics of Bessel beams," Phys. Rev. Lett., Vol. 71, No. 209, 1401-1404, 1993.
doi:10.1103/PhysRevLett.70.1401        Google Scholar

10. Ambrosio, L. A. and H. E. Hernandez-Figueroa, "Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces," Biomed. Opt. Express, Vol. 2, No. 7, 1893-1906, 2011.
doi:10.1364/BOE.2.001893        Google Scholar

11. Blonskyi, I., V. Kadan, I. Dmitruk, and P. Korenyuk, "Cherenkov phase-matching in Raman-seeded four-wave mixing by a femtosecond Bessel beam," Appl. Phys. B, Vol. 107, 649-652, 2012.
doi:10.1007/s00340-012-5031-8        Google Scholar

12. Willner, A. E., et al., "Optical communications using orbital angular momentum beams," Adv. Opt. Photon., Vol. 7, No. 1, 66-106, 2015.
doi:10.1364/AOP.7.000066        Google Scholar

13. Volke-Sepulveda, K., S. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass. Opt., Vol. 4, S82-S89, 2002.
doi:10.1088/1464-4266/4/2/373        Google Scholar

14. Volke-Sepulveda, K. and E. Ley-Koo, "General construction and connections of vector propagation invariant optical ¯elds: TE and TM modes and polarization states," J. Opt. A: Pure Appl. Opt., Vol. 8, No. 10, 867-877, 2006.
doi:10.1088/1464-4258/8/10/008        Google Scholar

15. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.

16. Jackson, J. D., Classic Electrodynamics, 3rd Ed., Wiley, 1999.

17. Gri±ths, D. J., Introduction to Electrodynamics, 3rd Ed., Prentice Hall, 1999.

18. Boyer, C. P., E. G. Kalnins, W. Miller, and Jr., "Symmetry and separation of variables for the Helmholtz and Laplace equations," Nagoya Math. J., Vol. 60, 35-80, 1976.
doi:10.1017/S0027763000017165        Google Scholar

19. Bouchal, Z., "Nondiffracting optical beams: Physical properties, experiments, and applications," Czechoslovak Journal of Physics, Vol. 53, 537-578, 2003.
doi:10.1023/A:1024802801048        Google Scholar

20. Gutierrez-Vega, J. C., R. Rodriguez-Dagnino, M. Meneses-Nava, and S. Chavez-Cerda, "Mathieu functions, a visual approach," Am. J. Phys., Vol. 71, No. 3, 233-242, 2003.
doi:10.1119/1.1522698        Google Scholar

21. Lopez-Mariscal, C., M. A. Bandres, J. C. Gutirrez-Vega, and S. Chavez-Cerda, "Observation of parabolic nondiffracting optical fields," J. Opt. Soc. Am., Vol. 13, No. 7, 2364-2369, 2005.        Google Scholar

22. Hernandez-Figueroa, H. E., M. Zamboni-Rached, and E. Recami, Non-di®racting Waves, John Wiley & Sons, 2013.
doi:10.1002/9783527671519

23. McGloin, D. and D. K. Dholakia, "Bessel beams: Diffraction in a new light," Contemporary Physics, Vol. 46, No. 1, 15-28, 2005.
doi:10.1080/0010751042000275259        Google Scholar

24. Flores-Perez, A., J. Hernandez, R. Jauregui, and K. Volke-Sepulveda, "Experimental generation and analysis of first-order TE and TM Bessel modes in free space," Opt. Letters, Vol. 31, No. 11, 1732-1734, 2006.
doi:10.1364/OL.31.001732        Google Scholar

25. Mishra, S., "A vector wave analysis of a Bessel beam," Opt. Comm., Vol. 85, 159-161, 1991.
doi:10.1016/0030-4018(91)90386-R        Google Scholar

26. Bouchal, Z. and Z. M. Olivik, "Non-diffractive vector Bessel beams," J. Modern Opt., Vol. 42, 1555-1566, 1995.
doi:10.1080/09500349514551361        Google Scholar

27. Yu, Y.-Z. and W.-B. Dou, "Vector analyses of nondifracting beams," Progress In Electromagnetics Research Letters, Vol. 5, 57-71, 2008.
doi:10.2528/PIERL08110906        Google Scholar

28. Novitsky, A. V. and D. V. Novitsky, "Negative propagation of vector Bessel beams," Opt. Soc. Am. A, Vol. 24, 2844-2849, 2007.
doi:10.1364/JOSAA.24.002844        Google Scholar

29. Lin, Y., W. Seka, J. Eberly, H. Huang, and D. Brown, "Experimental investigation of Bessel beam characteristics," Applied Opt., Vol. 11, No. 15, 2708-2713, 1992.
doi:10.1364/AO.31.002708        Google Scholar

30. Bajer, J. and R. Horak, "Nondiffractive fields," Phys. Rev. E, Vol. 54, No. 3, 3052-3054, 1996.
doi:10.1103/PhysRevE.54.3052        Google Scholar

31. Litvin, I. A., "The behavior of the instantaneous Poynting vector of symmetrical laser beams," J. Opt. Soc. Am., Vol. 29, No. 6, 901-907, 2012.
doi:10.1364/JOSAA.29.000901        Google Scholar

32. Mokhun, I., A. Arkhelyuk, Y. Galushko, Y. Kharitonovtta, and J. Viktorovskaya, "Experimental analysis of the Poyting vector characteristics," Applied Opt., Vol. 51, No. 10, C158-C162, 2012.
doi:10.1364/AO.51.00C158        Google Scholar

33. Allen, L., M. W. Beijersbergen, R. J. C. Spreeuw, and J. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian lases modes," Phys. Rev. A, Vol. 45, No. 11, 8185-8189, 1992.
doi:10.1103/PhysRevA.45.8185        Google Scholar

34. Barnett, S. M. and L. Allen, "Orbital angular momentum and nonparaxial light beams," Opt. Comm., Vol. 110, 670-678, 1994.
doi:10.1016/0030-4018(94)90269-0        Google Scholar

35. Barnett, S. M., "Optical angular momentum flux," J. Opt. B: Quantum and Semiclass. Optics, Vol. 4, S7-S16, 2002.
doi:10.1088/1464-4266/4/2/361        Google Scholar

36. Mitri, F. G., "Counterpropagating nondifracting vortex beams with linear and angular momenta," Phys. Rev. A, Vol. 88, 035804, 2013.        Google Scholar

37. Barton, J. P., D. R. Alexander, and S. A. Schaub, "Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam," J. Appl. Phys., Vol. 66, 4594-4602, 1989.
doi:10.1063/1.343813        Google Scholar

38. Marston, P. L., "Scattering of a Bessel beam by sphere," J. Acoust. Soc. Am., Vol. 121, No. 2, 753-758, 2007.
doi:10.1121/1.2404931        Google Scholar

39. Marston, P. L., "Scattering of a Bessel beam by sphere II: Helicoidal case shell example," J. Acoust. Soc. Am., Vol. 124, No. 5, 2905-2910, 2008.
doi:10.1121/1.2973230        Google Scholar

40. Belafhal, A., A. Chafiq, and Z. Hricha, "Scattering of Mathieu beams by a rigid sphere," Opt. Comm., Vol. 284, 3030-3035, 2011.
doi:10.1016/j.optcom.2011.02.021        Google Scholar

41. Belafhal, A., L. Ez-Zariy, A. Chafiq, and Z. Hricha, "Analysis of the scattering far field of a nondiffracting parabolic beam by a rigid sphere," Phys. and Chem. News, Vol. 60, 15-21, 2011.        Google Scholar

42. Cui, Z., Y. Han, and L. Han, "Scattering of a zero-order Bessel beam by shaped homogeneous dielectric particles," J. Opt. Soc. Am. A, Vol. 30, No. 10, 1913-1920, 2013.
doi:10.1364/JOSAA.30.001913        Google Scholar

43. Brandao, P., "Nonparaxial TE and TM vector beams with well-defined orbital angular momentum," Opt. Letters, Vol. 37, No. 5, 909-911, 2012.
doi:10.1364/OL.37.000909        Google Scholar