## Eigenfields and output beams of an unstable Bessel–Gauss resonator

Applied Optics, Vol. 45, Issue 17, pp. 4102-4108 (2006)

http://dx.doi.org/10.1364/AO.45.004102

Enhanced HTML Acrobat PDF (3551 KB)

### Abstract

We evaluate the eigenfields of an unstable Bessel–Gauss resonator (UBGR) by use of the transfer-matrix method in which the transverse profiles and their corresponding losses of the UBGR are considered as the eigenvectors and eigenvalues of a transfer matrix so that the dominant mode fields and their losses of the UBGR can be readily extracted in terms of the matrix eigenvalue algorithm. Moreover, based on the eigenfields across two mirrors that resulted from the transfer-matrix method, we simulate the field distributions in the cavity and the propagation of output beams by means of the angular spectrum method. The computation results show that the UBGR easily produces a fundamental Bessel–Gauss mode of good quality, and the output beams retain the original Bessel–Gauss distribution during propagation.

© 2006 Optical Society of America

**OCIS Codes**

(140.3300) Lasers and laser optics : Laser beam shaping

(140.3410) Lasers and laser optics : Laser resonators

(140.4780) Lasers and laser optics : Optical resonators

**History**

Original Manuscript: January 17, 2006

Manuscript Accepted: February 25, 2006

**Citation**

Dongxiong Ling, Chongguang Li, and Junchang Li, "Eigenfields and output beams of an unstable Bessel-Gauss resonator," Appl. Opt. **45**, 4102-4108 (2006)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-17-4102

Sort: Year | Journal | Reset

### References

- F. Gori, G. Guattari, and C. Padovani, "Bessel-Gauss beams," Opt. Commun. 64, 491-495 (1987). [CrossRef]
- P. Pääkkönen and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun. 156, 359-366 (1998). [CrossRef]
- A. N. Khilo, E. G. Katranji, and A. A. Ryzhevich, "Axicon-based Bessel resonator: analytical description and experiment," J. Opt. Soc. Am. A 18, 1986-1992 (2001). [CrossRef]
- J. Rogel-Salazar, G. H. C. New, and S. Chávez-Cerda, "Bessel-Gauss beam optical resonator," Opt. Commun. 190, 117-122 (2001). [CrossRef]
- J. C. Gutiérrez-Vega, R. Rodríguez-Masegosa, and S. Chávez-Cerda, "Bessel-Gauss resonator with spherical output mirror: geometrical- and wave-optics analysis," J. Opt. Soc. Am. A 20, 2113-2122 (2003). [CrossRef]
- C. L. Tsangaris, G. H. C. New, and J. Rogel-Salazar, "Unstable Bessel beam resonator," Opt. Commun. 223, 233-238 (2003). [CrossRef]
- R. I. Hernández-Aranda, S. Chávez-Cerda, and J. C. Gutiérrez-Vega, "Theory of the unstable Bessel resonator," J. Opt. Soc. Am. A 22, 1909-1917 (2005). [CrossRef]
- S. A. Collins, Jr., "Lens-system diffraction integral written in terms of matrix optics," J. Opt. Soc. Am. 60, 1168-1177 (1970). [CrossRef]
- W. Zaifu, W. Runwen, and W. Zhijiang, "Numerical analysis of mode-fields of unstable ring resonators 90° beam rotation," Acta Opt. Sin. 15, 696-702 (1995).
- D. Ling, Y. Fu, D. Xu, and Y. Guan, "Finite-sum matrix analysis of eigen-mode fields of the Gaussian-reflectivity plano-concave resonator," in High-Power Lasers and Applications II, D. Fan, K. A. Truesdell, and K. Yasui, eds., Proc. SPIE 4914, 371-381 (2002).
- J. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
- P. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Fields (Pergamon, 1966).
- M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge U. Press, 1997).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.