Dispersion implementation in optical filter design by the Fourier transform method using correction factors.


Journal Article

The Fourier transform method to design graded-index optical filters, that relates the desired reflection spectrum and the index profile through the use of a Q function, has two important drawbacks: (1) It relies on approximate Q functions, and (2) it does not account for the dispersion of the index of refraction. The former is usually addressed by an iterative correction process. We propose to address the latter by scaling the wavelength in the Fourier transform by the optical thickness of the filter and to multiply the Q function by a wavelength-dependent correction factor. We demonstrate the high effectiveness of this approach by the performance of optical filters designed with such correction factors using the optical properties of SiO2/TiO2 mixtures.

Full Text

Cited Authors

  • Larouche, S; Martinu, L

Published Date

  • October 2007

Published In

Volume / Issue

  • 46 / 30

Start / End Page

  • 7436 - 7441

PubMed ID

  • 17952179

Pubmed Central ID

  • 17952179

Electronic International Standard Serial Number (EISSN)

  • 1539-4522

International Standard Serial Number (ISSN)

  • 1559-128X

Digital Object Identifier (DOI)

  • 10.1364/ao.46.007436


  • eng