Abstract

The transformation s = jω, ω = −cotφ of the interference phase angle φ = 2πnhλ⁻¹ is applied to the matrix of a thin dielectric film. This brings the complex coefficients of reflection and transmission to the form of rational functions, whose coefficients are built up from the refractive indices. Matching to a given spectral characteristic may be performed by any of the approximation methods of network theory. An algorithm is derived for the computation of the refractive indices from the coefficients of these rational functions. Connection with other synthetic methods for thin films is also indicated. Illustrative examples are included.

© 1967 Optical Society of America

Fourier Synthesis of Multilayer Filters*

Erwin Delano
J. Opt. Soc. Am. 57(12) 1529-1533 (1967)

Multilayer Interference Filters with Narrow Stop Bands

Leo Young
Appl. Opt. 6(2) 297-315 (1967)

An Exact Design Method for Multilayer Dielectric Films

R. J. Pegis
J. Opt. Soc. Am. 51(11) 1255-1264 (1961)

Fourier series approach to synthesis

Sami A. Shakir
Appl. Opt. 22(14) 2227-2232 (1983)

Noise Limitations in Solid State Photodetectors

K. M. van Vliet
Appl. Opt. 6(7) 1145-1169 (1967)