A detailed study of Mathieu–Gauss beams propagation through an apertured ABCD optical system

✍ Scribed by A. Chafiq; Z. Hricha; A. Belafhal

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 488 KB
• Volume: 265
• Category: Article
• ISSN: 0030-4018
• DOI: 10.1016/j.optcom.2006.03.048

✦ Synopsis

Using Collins formula and the expansion of Mathieu beams in terms of Bessel beams we derive the exact propagation equations of Mathieu-Gauss beams through an apertured paraxial ABCD optical system. A comparison between the exact propagation equations and the approximated ones, which are derived by expanding the circ function into a finite sum of Gaussian functions, is presented. The propagation characteristics of zeroth-order Mathieu-Gauss beams in (y-z) and (x-z) planes are analyzed with detailed numerical calculations. It is found that the profile of the propagated Mathieu-Gauss beam is similar to that of Bessel-Gauss beam. Furthermore, the focalization of the Mathieu-Gauss beams through a thin lens is illustrated and analyzed with numerical results.