## Investigation of thermally-induced phase mismatching in continuous-wave second harmonic generation: A theoretical model |

Optics Express, Vol. 18, Issue 18, pp. 18732-18743 (2010)

http://dx.doi.org/10.1364/OE.18.018732

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### Abstract

A fraction of the fundamental beam energy deposited into nonlinear crystals to generate second harmonic waves (SHW) causes a temperature gradient within the crystal. This temperature inhomogeneity can alter the refractive index of the medium leading to a well-known effect called thermal dispersion. Therefore, the generated SHW suffers from thermal lensing and a longitudinal thermal phase mismatching. In this work by coupling the heat equation with second harmonic generation (SHG) formalism applied to type-II configuration along with walk-off effect, we investigate the continuous wave (CW) SHW beam profile and conversion efficiency when a non-linear KTP crystal is under induced thermal load. We have demonstrated for average and high powers, the thermal de-phasing lead to considerable reduction in SHG compared to an ideal case in which induced heat is neglected.

© 2010 OSA

**OCIS Codes**

(140.6810) Lasers and laser optics : Thermal effects

(190.0190) Nonlinear optics : Nonlinear optics

**ToC Category:**

Nonlinear Optics

**History**

Original Manuscript: May 26, 2010

Revised Manuscript: July 10, 2010

Manuscript Accepted: July 11, 2010

Published: August 18, 2010

**Citation**

Mohammad Sabaeian, Laleh Mousave, and Hamid Nadgaran, "Investigation of thermally-induced phase mismatching in continuous-wave second
harmonic generation: a theoretical model," Opt. Express **18**, 18732-18743 (2010)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-18-18732

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