OSA's Digital Library

Chinese Optics Letters

Chinese Optics Letters


  • Vol. 1, Iss. 7 — Jul. 20, 2003
  • pp: 411–413

Derivation of the modification heating conduction equation of a kind of laser thermal effect by quantum mechanics

Lingyun Zhou, Canbang Zhang, Yiying Zhou, and Guangmin Wu  »View Author Affiliations

Chinese Optics Letters, Vol. 1, Issue 7, pp. 411-413 (2003)

View Full Text Article

Acrobat PDF (436 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

  • Export Citation/Save Click for help


The Fourier equation of heat conduction predicts a paradox that the effect of a thermal impulse (e.g. the thermal effect in pulse laser) in an infinite medium; i.e., a thermal impulse is propagated in an infinite velocity. In order to solve the thermal transport paradox, C. W. Ulbrich and M. Chester have proposed the modification heat conduction equation respectively from different macroscopic viewpoint. This paper derived the modification heat conduction equation according to phonon model and quantum mechanics from microscopic viewpoint.

© 2005 Chinese Optics Letters

OCIS Codes
(140.6810) Lasers and laser optics : Thermal effects

Lingyun Zhou, Canbang Zhang, Yiying Zhou, and Guangmin Wu, "Derivation of the modification heating conduction equation of a kind of laser thermal effect by quantum mechanics," Chin. Opt. Lett. 1, 411-413 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. M. Chester, Phys. Rev. 131, 2013 (1963).
  2. C. W. Ulbrich, Phys. Rev. 123, 2001 (1961).
  3. J. F. Ready, Effects of High-Power Laser Radiation (Academic Press, New York, 1971).
  4. M. V. Allmen, Laser-Beam Interaction with Materials, Physical Principles and Application (Spring-Verlag, Berlin 1987).
  5. Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).
  6. H. Haken, Quantum Field Theory of Solid (North- Holland Publishing Company, Amsterdam, 1976) p. 232.
  7. G. Grimrall, The Electron-Phonon Interaction in Metals (North-Holland Publishing Company, Amsterdam 1980).
  8. J. M. Ziman, Electrons and Phonons (Clarendon Oxford, 1960).
  9. B. D. Bartolo and P. C. Richard, Phonon and Resonance in Solid (John Wiley & Sons, New York, 1976).
  10. C. Kittel, Quantum Theory of Solids (John Wiley & Sons, New York, 1987).
  11. B. F. Blackwell, An Introduction to Heat Conduction in Anisotropic Medium (Sandia Lab., New Mexico, 1969) p. 75.
  12. Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited