Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Use of Fourier coefficients in multilayer synthesis computations

Not Accessible

Your library or personal account may give you access

Abstract

The objective of our synthesis technique is to find the refractive indices ni and the thicknesses ei of the layers in a nonabsorbing multilayer stack with prescribed properties. By introducing the constraint that each layer should have an optical thickness niei = ki λ0/4, where ki is an integer and λ0 a simple parameter as small as we wish, we have developed a calculation method for the optical properties, expressed as R/T, which is particularly advantageous. The form of the solution is a series of cosine terms. Given the reflectance R0 and the transmittance T0 of the filter to be synthesized, its R0/T0 curve is expanded in a Fourier series over a given frequency interval. The integers ki and the refractive indices of the layers are then adjusted until the coefficients of the cosine terms approximate those of the Fourier series of the filter being synthesized. The technique is demonstrated in the synthesis of a beamsplitter and a dichroic mirror.

© 1978 Optical Society of America

Full Article  |  PDF Article
More Like This
Fourier Synthesis of Multilayer Filters*

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

Optical thin film synthesis program based on the use of Fourier transforms

J. A. Dobrowolski and D. Lowe
Appl. Opt. 17(19) 3039-3050 (1978)

Scattering of electromagnetic beams by spherical objects

W. G. Tam and Robert Corriveau
J. Opt. Soc. Am. 68(6) 763-767 (1978)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (30)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved