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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 11 — Jun. 3, 2013
  • pp: 13741–13747

Thermal lensing analysis of TGG and its effect on beam quality

Amir A Jalali, James Rybarsyk, and Evan Rogers  »View Author Affiliations

Optics Express, Vol. 21, Issue 11, pp. 13741-13747 (2013)

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An analysis is presented of a TGG crystal rod under high power laser operation. A semianalytical thermal analysis is investigated to obtain the temperature profile and thermal lensing effect in a TGG crystal upon incidence of a high power laser light. By solving the heat transfer equation for the TGG crystal and taking the Gaussian beam transverse intensity profile as the heat source, the optical path difference due to induced thermal effects was obtained. Moreover, a detailed model for the dependence of thermal lensing and beam degradation which takes into account up to the fifth-order spherical aberration is presented. Based on this model, it is shown that up to a critical value of the beam power the degradation of the beam is not significant. The experimental results on thermal lensing and degradation on beam quality of a high power laser passing through a TGG crystal rod are in agreement with the main results from our model.

© 2013 OSA

OCIS Codes
(120.6810) Instrumentation, measurement, and metrology : Thermal effects
(260.1180) Physical optics : Crystal optics
(260.2710) Physical optics : Inhomogeneous optical media

ToC Category:
Physical Optics

Original Manuscript: March 4, 2013
Revised Manuscript: May 8, 2013
Manuscript Accepted: May 10, 2013
Published: May 31, 2013

Amir A Jalali, James Rybarsyk, and Evan Rogers, "Thermal lensing analysis of TGG and its effect on beam quality," Opt. Express 21, 13741-13747 (2013)

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  1. U. O. Farrukh, A. M. Buoncristiani, and C. E. Byvik, “An analysis of the temperature distribution in finite solid-state laser rods,” IEEE J. Quantum Electron.24, 2253–2263 (1988). [CrossRef]
  2. M. Innocenzi, H. Yura, C. Fincher, and R. Fields, “Thermal modeling of continuous-wave end-pumped solid-state lasers,” Appl. Phys. Lett.56, 1831–1833 (1990). [CrossRef]
  3. C. Pfistner, R. Weber, H. P. Weber, S. Merazzi, and R. Gruber, “Thermal beam distortions in end-pumped Nd:YAG, Nd:GSGG, and Nd:YLF rods,” IEEE J. Quantum Electron.30, 1605–1615 (1994). [CrossRef]
  4. S. Fan, X. Zhang, Q. Wang, S. Li, S. Ding, and F. Su, “More precise determination of thermal lens focal length for end-pumped solid-state lasers,” Opt. Commun.266, 620–626 (2006). [CrossRef]
  5. P. Shi, W. Chen, L. Li, and A. Gan, “Semianalytical thermal analysis of thermal focal length on Nd:YAG rods,” Appl. Opt.46, 6655–6661 (2007). [CrossRef] [PubMed]
  6. E. Khazanov, N. Andreev, A. Babin, A. Kiselev, O. Palashov, and D. H. Reitze, “Suppression of self-induced depolarization of high-power laser radiation in glass-based Faraday isolators,” J. Opt. Soc. Am. B17, 99–102 (2000). [CrossRef]
  7. E. Khazanov, N. Andreev, A. Mal’shakov, O. Palashov, A. Poteomkin, A. Sergeev, A. Shaykin, V. Zelenogorsky, I. Ivanov, R. Amin, G. Mueller, D. Tanner, and D. Reitze, “Compensation of thermally induced modal distortions in Faraday isolators,” IEEE J. Quantum Electron.40, 1500–1510 (2004). [CrossRef]
  8. V. Zelenogorsky, O. Palashov, and E. Khazanov, “Adaptive compensation of thermally induced phase aberrations in Faraday isolators by means of a DKDP crystal,” Opt. Commun.278, 8–13 (2007). [CrossRef]
  9. The Vigro Collaboration, “In-vacuum optical isolation changes by heating in a faraday isolator,” Appl. Opt.47, 5853–5861 (2008).
  10. A. E. Siegman, “Analysis of laser beam quality degradation caused by quartic phase aberrations,” Appl. Opt.32, 5893–5901 (1993). [CrossRef] [PubMed]
  11. J. Alda, “Quality improvement of a coherent and aberrated laser beam by using an optimum and smooth pure phase filter,” Opt. Commun.192, 199–204 (2001). [CrossRef]
  12. C. J. Kennedy, “Model for variation of laser power with M2,” Appl. Opt.41, 4341–4346 (2002). [CrossRef] [PubMed]
  13. J. Alda, Laser and Gaussian Beam Propagation and Transformation (Marcel Dekker, Inc, 2003), pp. 999–1013, Encyclopedia of Optical Engineering.
  14. W. Koechner, Solid State Laser Engineering (Springer, 1988). [CrossRef]
  15. Y. Chen, T. Huang, C. Kao, C. Wang, and S. Wang, “Optimization in scaling fiber-coupled laser-diode end-pumped lasers to higher power: influence of thermal effect,” IEEE J. Quantum Electron.33, 1424–1429 (1997). [CrossRef]
  16. V. N. Mahajan, “Strehl ratio of a Gaussian beam,” J. Opt. Soc. Am. A22, 1824–1833 (2005). [CrossRef]
  17. M. A. Porras, J. Alda, and E. Bernabeu, “Complex beam parameter and ABCD law for non-Gaussian and non-spherical light beams,” Appl. Opt.31, 6389–6402 (1992). [CrossRef] [PubMed]
  18. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am.66, 207–211 (1976). [CrossRef]
  19. NanoModeScan operational manual (Photon Inc, www.ophiropt.com , 2008).

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