Design of the liquid crystal band-pass optical filter

Andrzej Walczak; Piotr Marciniak

doi:10.1117/12.622780

6 October 2005 Design of the liquid crystal band-pass optical filter

Andrzej Walczak, Piotr Marciniak

Proceedings Volume 5947, Liquid Crystals: Optics and Applications; 59470Z (2005) https://doi.org/10.1117/12.622780
Event: Congress on Optics and Optoelectronics, 2005, Warsaw, Poland

Abstract

Dispersion of the refraction indices n (λ) as well as dispersion of the imaginary part of the refection coefficient r = r0*exp(-iφ_R(λ)) have to be determined to design band-pass Fabry-Perot filter. In the case when liquid crystal is placed in the filter gap then both ordinary and extraordinary indices have to be determined. Consequently one must find imaginary part of the coefficient r for ordinary and extraordinary waves transmitted by the filter. Imaginary part of the refraction coefficient is called also phase of reflection. Proposed method exploits a Fabry-Perot filter to obtain examined values. It has been proved that both values, phase of reflection, and refraction indices must be determined in the same procedure from data obtained in the same measurement. The procedure consists of: determination of the transmission peaks position in the Fabry-Perot filter spectrum; nonlinear fit procedure which optimize dispersions of the n(λ), and φ_R(λ) to minimize the differences between theoretical and experimental transmissions of the filter; simulation of the free spectral range (FSR), and finesse of the filter spectrum in dependence on dispersions of n(λ), and φ_R(λ). Results have been presented in the case of four different liquid crystal substances and two different mirrors applied in the filter. The way for determination of the φ_R (λ) seems to be interesting as this value is really hard to measure. Presented data for the examined liquid crystals are also new.

Citation Download Citation

Andrzej Walczak and Piotr Marciniak "Design of the liquid crystal band-pass optical filter", Proc. SPIE 5947, Liquid Crystals: Optics and Applications, 59470Z (6 October 2005); https://doi.org/10.1117/12.622780

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