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Applied Optics

Applied Optics


  • Vol. 40, Iss. 27 — Sep. 20, 2001
  • pp: 4824–4830

Temperature distributions and thermal deformations of mirror substrates in laser resonators

Yufeng Peng, Zuhai Cheng, Yaoning Zhang, and Junli Qiu  »View Author Affiliations

Applied Optics, Vol. 40, Issue 27, pp. 4824-4830 (2001)

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For finite-thickness media with convective surface losses, the three-dimensional temperature distributions and thermal deformations of mirror substrates in laser resonators that are due to absorption of laser light with a Gaussian power-density profile are calculated by use of the well-known Green’s function methods. Some expressions and theoretical profiles of the temperature distributions and thermal deformations as functions of the radius and the thickness of a mirror substrate are obtained. The results of the calculations show that the rise in temperature is closely related to the absorption coefficient of the medium as well as to the convective heat-transfer coefficient, that the initial thermal deformations of mirror surfaces increase quickly at the beginning of laser heating and that then the thermal deformations are insensitive to laser heating times. Meanwhile, thermal deformations of a silicon mirror are experimentally demonstrated by use of CO2 laser irradiation. The experimental trends of thermal deformations are in agreement with the theoretical profiles.

© 2001 Optical Society of America

OCIS Codes
(140.3410) Lasers and laser optics : Laser resonators
(140.6810) Lasers and laser optics : Thermal effects
(230.4040) Optical devices : Mirrors

Original Manuscript: October 16, 2000
Revised Manuscript: February 23, 2001
Published: September 20, 2001

Yufeng Peng, Zuhai Cheng, Yaoning Zhang, and Junli Qiu, "Temperature distributions and thermal deformations of mirror substrates in laser resonators," Appl. Opt. 40, 4824-4830 (2001)

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  1. R. Hauck, H. P. Kortz, H. Weber, “Misalignment sensitivity of optical resonators,” Appl. Opt. 19, 598–601 (1980). [CrossRef] [PubMed]
  2. J. L. Remo, “Diffraction losses for symmetrically tilted plane reflectors in open resonators,” Appl. Opt. 19, 774–777 (1980). [CrossRef] [PubMed]
  3. M. Necati Özişik, Heat Conduction (Wiley, New York, 1980).
  4. M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Laser-induced local heating of multilayers,” Appl. Opt. 21, 1106–1114 (1982). [CrossRef] [PubMed]
  5. A. N. Burgess, K. E. Evans, M. Mackay, S. J. Abbott, “Comparison of transient thermal conduction in tellurium and organic dye based digital optical storage media,” J. Appl. Phys. 61, 74–80 (1987). [CrossRef]
  6. O. W. Shih, “A multilayer heat conduction solution for magneto-optical disk recording,” J. Appl. Phys. 75, 4382–4395 (1994). [CrossRef]
  7. A. Abtahi, P. F. Bräunlich, P. Kelly, J. Gasiot, “Laser stimulated thermoluminescence,” J. Appl. Phys. 58, 1626–1639 (1985). [CrossRef]
  8. W. A. McGahan, K. D. Cole, “Solutions of the heat conduction equation in multilayers for photothermal deflection experiments,” J. Appl. Phys. 72, 1362–1373 (1992). [CrossRef]
  9. P. Loza, D. Kouznetsov, R. Ortega, “Temperature distribution in a uniform medium heated by absorption of a Gaussian light beam,” Appl. Opt. 33, 3831–3836 (1994). [CrossRef] [PubMed]
  10. M. K. Loze, C. D. Wright, “Temperature distributions in semi-infinite and finite-thickness media as a result of absorption of laser light,” Appl. Opt. 36, 494–507 (1997). [CrossRef] [PubMed]
  11. M. K. Loze, C. D. Wright, “Temperature distributions in laser-heated semi-infinite and finite-thickness media with convective surface losses,” Appl. Opt. 37, 6822–6832 (1998). [CrossRef]
  12. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  13. J. L. Nowinsik, Theory of Thermoelasticity with Applications (Sijthoff & Noordhoff, Alphen aan den Rijn, The Netherlands, 1978). [CrossRef]
  14. H. F. Wolf, Silicon Semiconduction Data (Signetics Corp., Albuquerque, N. Mex., 1969).
  15. W. M. Rohsenow, J. P. Hartnett, Handbook of Heat Transfer (McGraw-Hill, New York, 1973).
  16. D. J. Sanders, “Temperature distributions produced by scanning Gaussian laser beams,” Appl. Opt. 23, 30–35 (1984). [CrossRef] [PubMed]
  17. M. R. Madison, T. W. McDaniel, “Temperature distributions produced in an N-layer film structure by static or scanning laser or electron beam with application to magneto-optical media,” J. Appl. Phys. 66, 5738–5748 (1989). [CrossRef]
  18. J. H. Torres, M. Motamedi, J. A. Pearce, A. J. Welch, “Experimental evaluation of mathematical models for predicting the thermal response of tissue to laser irradiation,” Appl. Opt. 32, 597–606 (1993). [CrossRef] [PubMed]
  19. P. Grosse, R. Wynands, “Simulation of photoacoustic IR spectra of multilayer structures,” Appl. Phys. B 48, 59–65 (1989). [CrossRef]

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