We estimate the optical fields of a phase-conjugating Bessel–Gauss resonator (PCBGR) by use of the matrix eigenvalue algorithm. According to the theoretical expression of Bessel–Gauss beams, we discuss the desired phase of the phase-conjugating mirror (PCM) for the production of Bessel–Gauss beams. On the basis of the given phase distribution of the PCM and the Huygens–Fresnel diffraction integral formula, we conduct the eigenmode matrix equation of the PCBGR and evaluate the field profiles of the PCBGR. We show from the numerical calculation that the PCBGR can produce the desired Bessel–Gauss mode provided that the parameters of the PCBGR are accurately chosen.
© 2006 Optical Society of America
Lasers and Laser Optics
Original Manuscript: November 28, 2005
Manuscript Accepted: March 17, 2006
Dongxiong Ling and Junchang Li, "Phase-conjugating resonator for Bessel-Gauss beams," J. Opt. Soc. Am. B 23, 1574-1580 (2006)