Eigenmodes of large-mode-field laser resonators with intra-cavity phase aberrations

Hua Su; Xiao-Jun Wang; Yu-Xin Wei; Chun Tang

doi:10.1117/12.2065124

3 February 2015 Eigenmodes of large-mode-field laser resonators with intra-cavity phase aberrations

Hua Su, Xiao-Jun Wang, Yu-Xin Wei, Chun Tang

Proceedings Volume 9255, XX International Symposium on High-Power Laser Systems and Applications 2014; 92551B (2015) https://doi.org/10.1117/12.2065124
Event: XX International Symposium on High Power Laser Systems and Applications, 2014, Chengdu, China

Abstract

A eigenmode expansion method (EME) is proposed to solve the laser eigenmode of optical resonator with intra-cavity phase aberration (ICPA) semi-analytically. In this model, the eigen-equation of OR, so called self-reappearance condition is translated to be a linear eigen-value problem, and it is proved that all eigen-modes can be obtained for any resonators. The linear eigen-value problem is solved numerically, and it gives out the transverse distribution and corresponding eigen-value of each eigenmode, which describe the light ﬁeld and diﬀraction loss, respectively. Compared with traditional methods, EME is a semi-analytical method which is unlimited by the order of phase aberration, and it can be solved without numerical iteration. The existing of local modes (LM) in OR with ICPA is proved with EME, which may be the source of local damage on solid medium. And the use of output coupler with transmission, such as graded reﬂectivity mirror (GRM), can prevent the appearance of LM and improve beam quality. Specially, for the ICPA coupled with laser extraction, the linear eigen-value equations become a nonlinear problem, which are numerically solved by the ﬁnite-diﬀerence Jacobian method. The result shows that the optical resonator exhibits transverse modal instability (TMI) with certain cavity parameters.

Citation Download Citation

Hua Su, Xiao-Jun Wang, Yu-Xin Wei, and Chun Tang "Eigenmodes of large-mode-field laser resonators with intra-cavity phase aberrations", Proc. SPIE 9255, XX International Symposium on High-Power Laser Systems and Applications 2014, 92551B (3 February 2015); https://doi.org/10.1117/12.2065124

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KEYWORDS

Resonators

Laser resonators

Nd:YAG lasers

Optical resonators

Thermal optics

Diffraction

Mirrors

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