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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 62, Iss. 11 — Nov. 1, 1972
  • pp: 1258–1264

Theory of Induced-Transmission Filters in Terms of the Concept of Equivalent Layers

B. V. LANDAU and P. H. LISSBERGER  »View Author Affiliations


JOSA, Vol. 62, Issue 11, pp. 1258-1264 (1972)
http://dx.doi.org/10.1364/JOSA.62.001258


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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.

Citation
B. V. LANDAU and P. H. LISSBERGER, "Theory of Induced-Transmission Filters in Terms of the Concept of Equivalent Layers," J. Opt. Soc. Am. 62, 1258-1264 (1972)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-62-11-1258


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References

  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).
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