Computational experiments on the design of antireflection coatings and an empirical expression for the minimum residual reflectance


  • T.V. Amotchkina Lomonosov Moscow State University


вычислительный эксперимент, просветляющие покрытия, задача синтеза, остаточный коэффициент отражения, эмпирические формулы


A simple empirical expression for the minimum residual reflectance of antireflection coatings is proposed. The expression relates the minimum residual reflectance in the antireflection spectral range to the basic design parameters. The numerically and empirically calculated values of residual reflectance are in good agreement. An accurate qualitative analysis of the expression is given.

Author Biography

T.V. Amotchkina


  1. Tikhonravov A.V., Trubetskov M.K., Amotchkina T.V., and Yanshin S.A. Structural properties of antireflection coatings // Electronic Proc. on Optical Interference Coatings. Report N WB5. Tucson, AZ (2007). Washington, DC: The Optical Society of America, 2007.
  2. Schulz U., Schallenberg U., and Kaiser N. Symmetrical periods in antireflective coatings for plastic optics // Appl. Opt. 2003. 42. 1346-1351.
  3. Thelen A. Design of optical interference coatings. New York: McGraw-Hill, 1988.
  4. Tikhonravov A.V., Trubetskov M.K., Amotchkina T.V., and Kokarev M.A. Key role of the coating total optical thickness in solving design problems // SPIE Proceedings. 2003. 5250. 312-321.
  5. Willey R. Predicting achievable design performance of broadband antireflection coatings // Appl. Opt. 1993. 32. 5447-5451.
  6. Tikhonravov A.V., Trubetskov M.K., Amotchkina T.V., and Dobrowolski J.A. Estimation of the average residual reflectance of broadband antireflection coatings // Appl. Opt. 2008. 47. 124-130.
  7. Sveshnikov A.G., Tikhonravov A.V., and Trubetskov M.K. A nonlocal method for the optimization of multilayer optical systems // Matematich. Modelirovanie. 1995. 7. 105-127.
  8. Tikhonravov A.V. Inverse problems in optics of stratified media // Moscow Univ. Computational Math. and Cybernetics Bull. 2006. 3. 66-76.
  9. Tikhonravov A.V. and Trubetskov M.K. New problems in multilayer optics // Communications Technology and Electronics. 2005. 50, N 2. 247-254.
  10. Tikhonravov A.V. Some theoretical aspects of thin film optics and their applications // Appl. Opt. 1993. 32. 5417-5426.
  11. Dobrowolski J.A., Tikhonravov A.V., Trubetskov M.K., Sullivan B.T., and Verly P.G. Optimal single-band normal-incidence antireflection coatings // Appl. Opt. 1996. 35. 644-658.



How to Cite

Амочкина Т.В. Computational Experiments on the Design of Antireflection Coatings and an Empirical Expression for the Minimum Residual Reflectance // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2008. 9. 90-92



Section 1. Numerical methods and applications