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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 8 — Aug. 1, 2000
  • pp: 1398–1404

Analytical model of the temperature distribution and the thermally induced birefringence in laser rods with cylindrically symmetric heating

M. Schmid, Th. Graf, and H. P. Weber  »View Author Affiliations


JOSA B, Vol. 17, Issue 8, pp. 1398-1404 (2000)
http://dx.doi.org/10.1364/JOSAB.17.001398


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Abstract

An analytical model of the thermal effects of cylindrically symmetric heating in laser rods is presented. We discuss two different methods for calculating the temperature distribution and thermal effects such as the thermally induced lens and thermal birefringence. One method is based on Taylor series; the other, on the integration of differential heating distributions. As an example, we discuss the effect of thermally induced birefringence in a Nd:YAG rod and compare the analytical solutions with finite-element simulations and experimental data. Compared with the numerical simulations, the calculations with the analytical expression are faster by several orders of magnitude and are therefore an excellent tool for optimization of the parameters related to heating and cooling of laser rods.

© 2000 Optical Society of America

OCIS Codes
(140.3580) Lasers and laser optics : Lasers, solid-state
(140.5560) Lasers and laser optics : Pumping
(140.6810) Lasers and laser optics : Thermal effects
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

Citation
M. Schmid, Th. Graf, and H. P. Weber, "Analytical model of the temperature distribution and the thermally induced birefringence in laser rods with cylindrically symmetric heating," J. Opt. Soc. Am. B 17, 1398-1404 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-8-1398


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References

  1. R. Weber, B. Neuenschwander, M. Mac Donald, M. B. Roos, and H. P. Weber, “Cooling schemes for longitudinally diode laser-pumped Nd:YAG rods,” IEEE J. Quantum Electron. 34, 1046–1053 (1998). [CrossRef]
  2. P. J. Hardman, W. A. Clarkson, and D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubled Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998). [CrossRef]
  3. A. Lucianetti, Th. Graf, R. Weber, and H. P. Weber, “Thermo-optical properties of transversally pumped composite YAG rods with Nd-doped core,” IEEE J. Quantum Electron. 36, 220–227 (2000). [CrossRef]
  4. R. Weber, B. Neuenschwander, and H. P. Weber, “Thermal effects in solid-state laser materials,” Opt. Mater. 11, 245–254 (1999). [CrossRef]
  5. M. Schmid, R. Weber, Th. Graf, M. Roos, and H. P. Weber, “Numerical simulation and analytical description of the thermally induced birefringence in laser rods,” IEEE J. Quantum Electron. 36, 620–626 (2000). [CrossRef]
  6. W. Koechner, Solid-State Laser Engineering (Springer-Verlag, Berlin (1996), pp. 393–409.
  7. St. C. Tidwell, J. F. Seasmans, M. S. Bowers, and A. K. Cousins, “Scaling cw diode-end-pumped Nd:YAG lasers to high average powers,” IEEE J. Quantum Electron. 28, 997–1009 (1992). [CrossRef]
  8. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Oxford U. Press, Oxford, 1959).
  9. D. C. Brown, “Ultrahigh-average-power diode-pumped Nd:YAG and Yb:YAG lasers,” IEEE J. Quantum Electron. 33, 861–873 (1997). [CrossRef]
  10. T. Y. Fan, “Heat generation in Nd:YAG and Yb:YAG,” IEEE J. Quantum Electron. 29, 1457–1459 (1993). [CrossRef]

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