The optimal design of ripple-free filter based on three-mirror Gires-Tournois resonator

Li Wei; Shaowen Song; John W. Y. Lit

doi:10.1117/12.567119

20 December 2004 The optimal design of ripple-free filter based on three-mirror Gires-Tournois resonator

Li Wei, Shaowen Song, John W. Y. Lit

Proceedings Volume 5577, Photonics North 2004: Optical Components and Devices; (2004) https://doi.org/10.1117/12.567119
Event: Photonics North, 2004, Ottawa, Ontario, Canada

Abstract

Optical bandpass filters with ripple-free spectral response are highly desirable for dense wavelength-division-multiplexed (DWDM) systems. We study and analyze the transmission characteristics of an optical bandpass filter, based on a three-mirror Gires-Tournois resonator (GTR) in a Michelson interferometer (MI). The three-mirror GTR (R₁, R₂, R₃) is actually an all-pass filter with the reflectivity of the end mirror R₃ being unity. In this paper, we present an analytical expression for the optimum design which has a ripple-free spectral response. The results show that flattop spectra can be obtained by suitably choosing the reflectivities R₁, R₂ of the two mirrors. Whereas a two-mirror GTR-based bandpass filter has only one unique optimum reflectivity, a three-mirror GTR-based filter has many sets of optimum values, making it easier to be designed to give much better performance. The effects of the reflective coefficients of the mirrors on the optical performance were also discussed.

Citation Download Citation

Li Wei, Shaowen Song, and John W. Y. Lit "The optimal design of ripple-free filter based on three-mirror Gires-Tournois resonator", Proc. SPIE 5577, Photonics North 2004: Optical Components and Devices, (20 December 2004); https://doi.org/10.1117/12.567119

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KEYWORDS

Reflectivity

Optical filters

Mirrors

Bandpass filters

Resonators

Dense wavelength division multiplexing

Interferometers

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