Skip to main content
Log in

Thermal lensing of laser beams in optically transmitting materials

II. Numerical computations

  • Contributed Papers
  • Published:
Applied physics Aims and scope Submit manuscript

Abstract

Detailed numerical computations of thermal lensing in optically transmitting materials are carried out. The time evolution of the transmitted beam intensity, revealing defocusing and degradation effects, is displayed for a variety of materials, under a variety of geometrical configurations and operating conditions. While the degradation is monotonic with increasing time or incident power for materials with small induced birefringence, it may display an oscillatory character when birefringence effects are large. From the intensity degradation, criteria are formulated for rating optical performance of materials under transient and steady-state conditions. Ratings are obtained for a variety of transmitting materials at 10.6 μm. As a class, ionic materials are found to substantially outperform semiconductors and glasses at 10.6 μm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. See, for example, J.P. Gordon, R.C.C. Leite, R.S. Moore, S.P.S. Porto, J.P. Whinnery: J. Appl. Phys.36, 3 (1965).— P.K. Tien, J.P. Gordon, J.R. Whinnery: Proc. IEEE53, 129 (1965).— S.A. Akhmanov, D.P. Krindach, A.P. Sukhorukov, R.V. Khokhlov: JETP Letters6, 38 (1967)

    Article  Google Scholar 

  2. B. Bendow, P.D. Gianino: Appl. Phys.2, 1 (1973)

    Article  ADS  Google Scholar 

  3. M. Sparks: J. Appl. Phys.42, 5029 (1971)

    Article  ADS  Google Scholar 

  4. J.R. Jasperse, P.D. Gianino: J. Appl. Phys.43, 1686 (1972).— P.D.Gianino, J.R.Jasperse: AFCRL-72-0202 (1972)

    Article  ADS  Google Scholar 

  5. B. Bendow, J.R. Jaspese, P.D. Gianino: Optics Commun.5, 98 (1972)

    Article  ADS  Google Scholar 

  6. B.Bendow, P.D.Gianino: AFCRL-72-0322 (1972)

  7. H.S. Carslaw, J.C. Jaeger:Conduction of Heat in Solids, 2nd ed. (Oxford Press, London 1959)

    Google Scholar 

  8. M. Born, E. Wolf:Principles of Optics, 2nd (rev.) ed. (Macmillan Co., New York 1964), Chap. 9

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gianino, P.D., Bendow, B. Thermal lensing of laser beams in optically transmitting materials. Appl. Phys. 2, 71–90 (1973). https://doi.org/10.1007/BF00934176

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00934176

Index Headings

Navigation