Focusing of Azimuthally Polarized Hyperbolic-Cosine-Gaussian Beam

X.M. Gao, M.Y Gao, S. Hu, H.M. Guo, J. Wang, S.L. Zhuang

.

DOI: 10.4236/eng.2010.22018                

Abstract

The focusing properties of azimuthally polarized hyperbolic-cosine-Gaussian (ChG) beam are investigated theoretically by vector diffraction theory. Results show that the intensity distribution in focal region of azimuthally polarized ChG beam can be altered considerably by decentered parameters, and some novel focal patterns may occur for certain case. On increasing decentered parameters, ring shape of focal pattern can evolve into four-peak focal pattern, and azimuthal field component affects focal pattern more significantly than radial field component. Optical gradient force is also calculated to show that the focusing properties may be used in optical tweezers technique.

Keywords

Focusing Properties, Hyperbolic-Cosine-Gaussian Beam, Vector Diffraction Theory

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Q. Zhan, “Cylindrical vector beams: From mathematical concepts to applications,” Advances in Optics and Photonics, Vol. 1, pp. 1–57, 2009.
[2]	K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Optics Ex- press, Vol. 7, pp. 77–87, 2000.
[3]	X. Gao, J. Wang, H. Gu, and W. Xu, “Focusing properties of concentric piecewise cylindrical vector beam,” Optik, Vol. 118, pp. 257–265, 2007.
[4]	G. Zhou, Y. Ni, and Z. Zhang, “Analytical vectorial structure of non-paraxial nonsymmetrical vector Gaussian beam in the far field,” Optics Communications, Vol. 272, pp. 32–39, 2007.
[5]	L. W. Casperson, D. G. Hall, and A. A. Tovar, “Sinusoidal- Gaussian beams in complex optical systems,” Journal of Optical Society of America A, Vol. 14, pp. 3341–3348, 1997.
[6]	L. W. Casperson and A. A. Tovar, “Hermite-sinusoidal- Gaussian beams in complex optical systems,” Journal of Optical Society of America A, Vol. 15, pp. 954–961, 1998.
[7]	X. Du and D. Zhao, “Elliptical cosh-Gaussian beams,” Optics Communications, Vol. 265, pp. 418–424, 2006.
[8]	Z. Hricha and A. Belafhal, “Focusing properties and focal shift in hyperbolic-cosine-Gaussian beams,” Optics Communications, Vol. 253, pp. 242–249, 2005.
[9]	B. Lu and S. Luo, “Beam propagation factor of hard-edge diffracted cosh-Gaussian beams,” Optics Communications, Vol. 178, pp. 275–281, 2000.
[10]	B. Lu, H. Ma, and B. Zhang, “Propagation properties of cosh-Gaussian beams,” Optics Communications, Vol. 164, pp. 165–170, 1999.
[11]	X. Gao, “Focusing properties of the hyperbolic-cosine- Gaussian beam induced by phase plate,” Physics Letters A, Vol. 360, pp. 330–335, 2006.
[12]	X. Gao and J. Li, “Focal shift of apodized tunrcated hyperbolic-cosine-Gaussian beam,” Optics Communications, Vol. 273, pp. 21–27, 2007.
[13]	S. Sato and Y. Kozawa, “Hollow vortex beams,” Journal of Optical Society of America A, Vol. 26, pp. 142–146, 2009.
[14]	M. P. MacDonald, L. Paterson, K. V. Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and manipulation of three-dimensional optically trapped structures,” Science, Vol. 296, pp. 1101–1103, 2002.
[15]	D. G. Grier, “A revolution in optical manipulation,” Nature, Vol. 424, pp. 810–816, 2003.
[16]	V. Garces-Chaves, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self reconstructing light beam,” Nature, Vol. 419, pp. 145–147, 2002.
[17]	K. Visscher and G. J. Brakenhoff, “Theoretical study of optically induced forces on spherical particles in a single beam trap I: Rayleigh scatterers,” Optik, Vol. 89, pp. 174–180, 1992.