Abstract

The reflection coefficient of a system of perfect quarter-wave layers is obtained in terms of the Fresnel coefficients of various boundaries by a simple summation process. This result is used to calculate the phase change on reflection from a system of approximate quarter-wave layers and this is shown to depend linearly on the phase errors of the individual layers. From the resulting formulas the important features of the transmission characteristics of all-dielectric interference filters are evaluated.

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  1. C. Dufour and A. Herpin, Optica Acta (Paris) 1, 1 (1954).
  2. P. Giacomo, Rev. opt. 35, 317, 442 (1956).
  3. P. H. Lissberger and W. L. Wilcock, J. Opt. Soc. Am. 49, 126 (1959), following paper.
  4. D. L. Caballero, J. Opt. Soc. Am. 37, 176 (1947).
  5. B. S. Blaisse and J. J. Van der Sande, Physica 13, 415 (1947).

Blaisse, B. S.

B. S. Blaisse and J. J. Van der Sande, Physica 13, 415 (1947).

Caballero, D. L.

D. L. Caballero, J. Opt. Soc. Am. 37, 176 (1947).

Dufour, C.

C. Dufour and A. Herpin, Optica Acta (Paris) 1, 1 (1954).

Giacomo, P.

P. Giacomo, Rev. opt. 35, 317, 442 (1956).

Herpin, A.

C. Dufour and A. Herpin, Optica Acta (Paris) 1, 1 (1954).

Lissberger, P. H.

P. H. Lissberger and W. L. Wilcock, J. Opt. Soc. Am. 49, 126 (1959), following paper.

Van der Sande, J. J.

B. S. Blaisse and J. J. Van der Sande, Physica 13, 415 (1947).

Wilcock, W. L.

P. H. Lissberger and W. L. Wilcock, J. Opt. Soc. Am. 49, 126 (1959), following paper.

Other (5)

C. Dufour and A. Herpin, Optica Acta (Paris) 1, 1 (1954).

P. Giacomo, Rev. opt. 35, 317, 442 (1956).

P. H. Lissberger and W. L. Wilcock, J. Opt. Soc. Am. 49, 126 (1959), following paper.

D. L. Caballero, J. Opt. Soc. Am. 37, 176 (1947).

B. S. Blaisse and J. J. Van der Sande, Physica 13, 415 (1947).

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