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2016-01-04
Transformation of Finite Olver-Gaussian Beams by an Uniaxial Crystal Orthogonal to the Optical Axis
By
Progress In Electromagnetics Research M, Vol. 45, 153-161, 2016
Abstract
The properties of the Finite Olver-Gaussian beams propagating through an uniaxial crystal orthogonal to the optical axis are studied. An analytical expression is developed, and some numerical simulations are performed to investigate the effects of some parameters on intensity distribution and profile of this beams family at the out-put plane of the uniaxial crystal. The results show that the beam exiting the optical system depends on the ratio of the extraordinary refractive index to the ordinary refractive index. Upon propagation in the uniaxial crystal, the Finite Olver-Gaussian beam in two transversal directions accelerates, while the acceleration in the transversal direction orthogonal to the optical axis is far slower than that in the transversal direction along the optical axis.
Citation
Salima Hennani, Lahcen EZ-ZARIY, and Abdelmajid Belafhal, "Transformation of Finite Olver-Gaussian Beams by an Uniaxial Crystal Orthogonal to the Optical Axis," Progress In Electromagnetics Research M, Vol. 45, 153-161, 2016.
doi:10.2528/PIERM15102402
References

1. Born, M. and E. Wolf, Principles of Optics, Oxford, Pergamon, UK, 1999.
doi:10.1017/CBO9781139644181

2. Fleck, Jr., J. A. and M. D. Feit, "Beam propagation in uniaxial anisotropic media," J. Opt. Soc. Am. A, Vol. 73, 920-926, 1983.
doi:10.1364/JOSA.73.000920

3. Konar, S., M. Mishra, and S. Jana, "Nonlinear evolution of cosh-Gaussian laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media," Physics Letters A, Vol. 362, 505-510, 2007.
doi:10.1016/j.physleta.2006.11.025

4. Konar, S. and S. Jana, "Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity," Optics Communications, Vol. 236, 7-20, 2004.
doi:10.1016/j.optcom.2004.03.012

5. Jana, S. and S. Konar, "Tnable spectral switching in the far field with a chirped cosh-Gaussian pulse," Optics Communications, Vol. 267, 24-31, 2006.
doi:10.1016/j.optcom.2006.06.013

6. Stamnes, J. J. and G. C. Sherman, "Radiation of electromagnetic fields in uniaxially anisotropic media," J. Opt. Soc. Am., Vol. 66, 780-788, 1976.
doi:10.1364/JOSA.66.000780

7. Stamnes, J. J. and G. C. Sherman, "Radiation of electromagnetic fields in uniaxially anisotropic media," J. Opt. Soc. Am., Vol. 68, 502-508, 1978.
doi:10.1364/JOSA.68.000502

8. Ciattoni, A. and C. Palma, "Ordinary and extraordinary beams characterization in uniaxially anisotropic crystals," Optics Communications, Vol. 195, 55-61, 2001.
doi:10.1016/S0030-4018(01)01335-9

9. Ciattoni, A., G. Cincotti, D. Provenziani, and C. Palma, "Paraxial propagation along the optical axis of a uniaxial medium," Phys. Rev. E, Vol. 66, 036614, 2002.
doi:10.1103/PhysRevE.66.036614

10. Ciattoni, A., G. Cincotti, and C. Palma, "Propagation of cylindrically symmetric fields in uniaxial crystals," J. Opt. Soc. Am. A, Vol. 19, 792-796, 2002.
doi:10.1364/JOSAA.19.000792

11. Ciattoni, A. and C. Palma, "Optical propagation in uniaxial crystal orthogonal to the optical axis: Paraxial theory and beyond," J. Opt. Soc. Am. A, Vol. 20, 2163-2171, 2003.
doi:10.1364/JOSAA.20.002163

12. Ciattoni, A. and C. Palma, "Nondiffracting beams in uniaxial media propagating orthogonally to the optical axis," Optics Communications, Vol. 224, 175-183, 2003.
doi:10.1016/S0030-4018(03)01759-0

13. Ciattoni, A., G. Cincotti, and C. Palma, "Laguerre-Gauss and Bessel-Gauss beams in uniaxial crystals," J. Opt. Soc. Am. A, Vol. 19, 1680-1688, 2002.
doi:10.1364/JOSAA.19.001680

14. Liu, D. and Z. Zhou, "Various dark hollow beams propagating in uniaxial crystals orthogonal to the optical axis," J. Opt. A: Pure Appl. Opt., Vol. 10, 095005, 2008.
doi:10.1088/1464-4258/10/9/095005

15. Tang, B., "Hermite-cosine-Gaussian beams propagating in uniaxial crystals orthogonal to the optical axis," J. Opt. Soc. Am. A, Vol. 26, 2480-2487, 2009.
doi:10.1364/JOSAA.26.002480

16. Gawhary, O. E. and S. Severini, "Lorentz beams and symmetry properties in paraxial optics," J. Opt. A: Pure Appl. Opt., Vol. 8, 409-414, 2006.
doi:10.1088/1464-4258/8/5/007

17. Li, J., Y. Chen, S. Xu, Y. Wang, M. Zhou, Q. Zhao, Y. Xin, and F. Chen, "Propagation properties of Lorentz beam in uniaxial crystals orthogonal to the optical axis," Opt. & Laser Tech., Vol. 43, 506-514, 2011.
doi:10.1016/j.optlastec.2010.07.007

18. Liu, Z. and D. Zhao, "Propagation of Gaussian array beams in uniaxial crystals orthogonal to the optical axis," Optik, Vol. 123, 208-211, 2012.
doi:10.1016/j.ijleo.2010.11.033

19. Li, J. and Y. Chen, "Propagation of confluent hypergeometric beam through uniaxial crystals orthogonal to the optical axis," Opt. & Laser Tech., Vol. 44, 1603-1610, 2012.
doi:10.1016/j.optlastec.2011.11.041

20. Zhou, G., R. Chen, and X. Chu, "Propagation of Airy beams in uniaxial crystals orthogonal to the optical axis," Opt. Exp., Vol. 20, 2196-2205, 2012.
doi:10.1364/OE.20.002196

21. Belafhal, A., L. Ez-zariy, S. Hennani, and H. Nebdi, "Theoretical introduction and generation method of a novel nondiffracting waves: Olver beams," Optics and Photonics Journal, Vol. 5, 234-246, 2015.
doi:10.4236/opj.2015.57023

22. Gradshteyn, I. S. and I.M. Ryzhik, Tables of Integrals Series and Products, 5th Ed., Academic Press, New York, 1994.