Abstract

The concept of equivalent layers, previously applied only to all-dielectric multilayer systems, is extended to include symmetrical systems containing absorbing layers. To maximize the potential transmittance of such a system, its parameters must be chosen so that the refractive index of the equivalent layer is real. This choice simultaneously leads to a minimum of the imaginary part of the equivalent phase thickness. The proof involves a novel technique of representing the parameters of the layers by those of a spherical triangle. In the mathematical process, a simple expression is derived for the phase thickness of the dielectric layers of the symmetrical system appropriate to the optimization of its potential transmittance.

PDF Article

References

  • View by:
  • |
  • |

  1. P. H. Berning and A. F. Turner, J. Opt. Soc. Am. 47, 230 (1957).
  2. S. D. Smith, J. Opt. Soc. Am. 48, 43 (1958).
  3. A. Herpin, Compt. Rend. 225, 182 (1947).
  4. R. J. Holloway and P. H. Lissberger, Appl. Opt. 8, 653 (1969).
  5. R. J. Holloway, Ph.D. thesis, University of Salford (1967).
  6. L. I. Epstein, J. Opt. Soc. Am. 42, 806 (1952).
  7. T. M. MacRobert and W. Arthur, Trigonometry, Part IV: Spherical Trigonometry (Methuen, London, 1938).
  8. A. Thelen, J. Opt. Soc. Am. 56, 1533 (1966).

Arthur, W.

T. M. MacRobert and W. Arthur, Trigonometry, Part IV: Spherical Trigonometry (Methuen, London, 1938).

Berning, P. H.

P. H. Berning and A. F. Turner, J. Opt. Soc. Am. 47, 230 (1957).

Epstein, L. I.

L. I. Epstein, J. Opt. Soc. Am. 42, 806 (1952).

Herpin, A.

A. Herpin, Compt. Rend. 225, 182 (1947).

Holloway, R. J.

R. J. Holloway and P. H. Lissberger, Appl. Opt. 8, 653 (1969).

R. J. Holloway, Ph.D. thesis, University of Salford (1967).

Lissberger, P. H.

R. J. Holloway and P. H. Lissberger, Appl. Opt. 8, 653 (1969).

MacRobert, T. M.

T. M. MacRobert and W. Arthur, Trigonometry, Part IV: Spherical Trigonometry (Methuen, London, 1938).

Smith, S. D.

S. D. Smith, J. Opt. Soc. Am. 48, 43 (1958).

Thelen, A.

A. Thelen, J. Opt. Soc. Am. 56, 1533 (1966).

Turner, A. F.

P. H. Berning and A. F. Turner, J. Opt. Soc. Am. 47, 230 (1957).

Other (8)

P. H. Berning and A. F. Turner, J. Opt. Soc. Am. 47, 230 (1957).

S. D. Smith, J. Opt. Soc. Am. 48, 43 (1958).

A. Herpin, Compt. Rend. 225, 182 (1947).

R. J. Holloway and P. H. Lissberger, Appl. Opt. 8, 653 (1969).

R. J. Holloway, Ph.D. thesis, University of Salford (1967).

L. I. Epstein, J. Opt. Soc. Am. 42, 806 (1952).

T. M. MacRobert and W. Arthur, Trigonometry, Part IV: Spherical Trigonometry (Methuen, London, 1938).

A. Thelen, J. Opt. Soc. Am. 56, 1533 (1966).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.