Analysis of polarization-insensitive tunable optical filter using liquid crystal: Connection formula and apparent paradox

H. Yoda; Y. Ohtera; O. Hanaizumi; S. Kawakami

doi:10.1023/A:1018518525358

Analysis of polarization-insensitive tunable optical filter using liquid crystal: Connection formula and apparent paradox

H. Yoda, Y. Ohtera, O. Hanaizumi, S. Kawakami

ENG - Communications Engineering

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

The resonance characteristics of a twisted-nematic liquid crystal Fabry-Pérot wavelength filter (TN-FP) is analysed and it is shown that it obeys some simple laws hitherto unknown. A method to calculate the transmittance and eigenstate of polarizations of the filter is first demonstrated. Next, approximate expressions of resonance wavelengths at some of the voltage regions are derived and connection formulae for two series of modes are presented. Finally, a transition of the eigen polarization in the FP etalon is investigated, and an interpretation of a paradoxical property concerning the longitudinal mode number of the filter is given.

Original language	English
Pages (from-to)	285-299
Number of pages	15
Journal	Optical and Quantum Electronics
Volume	29
Issue number	2
DOIs	https://doi.org/10.1023/A:1018518525358
Publication status	Published - 1997 Jan 1

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

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AU - Yoda, H.

AU - Ohtera, Y.

AU - Hanaizumi, O.

AU - Kawakami, S.

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AB - The resonance characteristics of a twisted-nematic liquid crystal Fabry-Pérot wavelength filter (TN-FP) is analysed and it is shown that it obeys some simple laws hitherto unknown. A method to calculate the transmittance and eigenstate of polarizations of the filter is first demonstrated. Next, approximate expressions of resonance wavelengths at some of the voltage regions are derived and connection formulae for two series of modes are presented. Finally, a transition of the eigen polarization in the FP etalon is investigated, and an interpretation of a paradoxical property concerning the longitudinal mode number of the filter is given.

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