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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 4 — Apr. 1, 2006
  • pp: 912–918

Analysis of eigenfields in the axicon-based Bessel–Gauss resonator by the transfer-matrix method

Dongxiong Ling, Junchang Li, and Junruo Chen  »View Author Affiliations


JOSA A, Vol. 23, Issue 4, pp. 912-918 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000912


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Abstract

The axicon-based-Bessel–Gauss resonator (ABGR) has been proposed for the production of Bessel–Gauss beams. To analyze eigenfields of the ABGR with a plane or spherical output coupler, we present and demonstrate the transfer-matrix method. Since the method is slow to converge to eigenmodes of the ABGR by use of the Fox and Li iterative algorithm, in this paper the Huygens–Fresnel diffraction integral equations associated with ray matrices are converted into finite-sum matrix equations, and mode-fields and corresponding losses are described as eigenvectors and eigenvalues of a transfer matrix according to the self-reproducing principle of the laser field. By solving the transfer matrix for eigenvectors and eigenvalues, we obtain field distributions and losses of the dominant eigenmodes. Moreover, eigenfields across arbitrary interfaces between the axicon and the output coupler, and the propagation of output beams, are simulated by using the fast-Fourier transform (FFT). The calculation results reveal that because of the ABGR’s poor transverse mode discrimination the ABGR should be improved to produce good-quality Bessel–Gauss beams.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.3300) Lasers and laser optics : Laser beam shaping
(140.3410) Lasers and laser optics : Laser resonators
(140.4130) Lasers and laser optics : Molecular gas lasers

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: September 9, 2005
Manuscript Accepted: September 30, 2005

Citation
Dongxiong Ling, Junchang Li, and Junruo Chen, "Analysis of eigenfields in the axicon-based Bessel-Gauss resonator by the transfer-matrix method," J. Opt. Soc. Am. A 23, 912-918 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-4-912

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