Abstract

The specified reflectance of a multilayer optical filter is formulated as a Fourier series. The coefficients are related via sample relations to the necessary refractive indices of the layers. The method is approximate but has the advantage of simplicity and efficiency, which makes it a useful design tool. The method is also useful as a companion to the exact methods of synthesis since it can provide the starting values for these exact methods. A versatile design example is solved to demonstrate the utility of the method. It is also shown that once a set of refractive indices is found, an infinite set of solutions can be found by simple scaling of the refractive indices.

© 1983 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Fourier Synthesis of Multilayer Filters*

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

Step method: a new synthesis method for the design of optical filters with intermediate refractive indices

Stéphane Larouche and Ludvik Martinu
Appl. Opt. 47(24) 4321-4330 (2008)

Application of constrained optimization to the design of quasi-rugate optical coatings

Alexander V. Tikhonravov, Michael K. Trubetskov, and Tatiana V. Amotchkina
Appl. Opt. 47(28) 5103-5109 (2008)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Figures (7)

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

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

Equations (26)

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

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

Metrics

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

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