Propagation of hermite-cosh-gaussian beams passing through ABCD optical system with an annular aperture

Abstract

By using the expansion of the aperture function into a finte sum of complex Gaussian functions, the corresponding analytical expressions of Hermite-cosh-Gaussian beams passing through annular apertured paraxially and symmetrically optical systems written in terms of ABCD matrix were derived, and they could reduce to the cases with squared aperture. In a similar way, the corresponding analytical expressions of cosh-Gaussian beams through annular apertured ABCD matrix were also given. The method could save more calculation time than that by using the diffraction integral formula directly.

References

[1] GuJ., ZhaoD.. J. Mod. Opt., 2005, 52: 1065

[2] MeiZ., ZhaoD., GuJ.. Opt. Commun., 2004, 240: 337

[3] MeiZ., ZhaoD., GuJ., MaoH.. Optik, 2004, 115: 311

[4] GuJ., ZhaoD., MeiZ., MaoH., XuH.. Optik, 2004, 115: 529

[5] MeiZ., DeiZ., WeiX., JingF., ZhuQ.. Optik, 2005, 116: 521

[6] LuoS., LvB.. Laser Technology, 2000, 24: 256

[7] LiuP., LvB., DuanK.. Opt & Laser Tech., 2006, 38: 133

[8] BelafhalA., IbnchaikhM.. Opt. Commun., 2000, 186: 269

[9] YuS., GuoH., FuX., HuW.. Opt Commun., 2002, 204: 59

[10] QiuY., GuoH., ChenX., KongH. J.. J. Opt. A: Appl. Opt., 2004, 6: 210

[11] GuJ., ZhaoD., MaoH., MeiZ.. Opt & Laser Tech., 2005, 37: 173

[12] WenJ. J., BreazealeM. A.. J. Acoust. Soc. Am., 1998, 83: 1752

[13] CollinsS. A.. J. Opt. Soc. Am., 1970, 60: 1168