Numerical calculations recently published [ J. Opt. Soc. Am. A 23, 912 (2006) ] on the eigenmodes in axicon-based Bessel–Gauss resonators revealed significant inconsistencies regarding the modal patterns, the mode losses, the mode ordering by loss, and the intracavity field distributions. We show that the results are inaccurate mainly because (a) it was overlooked in the derivation of the matrix equations that light crosses twice through the axicon in a complete round-trip and (b) the numerical method used to evaluate the diffraction integral equations cannot resolve the eigenvalues and eigenfields for the given resonator configuration.
© 2007 Optical Society of America
Original Manuscript: June 23, 2006
Revised Manuscript: September 28, 2006
Manuscript Accepted: October 4, 2006
Published: March 14, 2007
Raul I. Hernandez-Aranda and Julio C. Gutiérrez-Vega, "Analysis of eigenfields in the axicon-based Bessel-Gauss resonator by the transfer-matrix method: comment," J. Opt. Soc. Am. A 24, 1209-1210 (2007)