Design and spectral characteristics of multireflector etalons

A numerical technique for analyzing multireflector optical resonators with an arbitrarily large number of mirrors is applied to the design of ripple-free, flat-top bandpass filters. The algorithm determines unique values for the mirror reflectances R/sub j/, j=1,...,N, subject to a constraint on a c...

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Bibliographic Details
Published in:Journal of lightwave technology 2005-03, Vol.23 (3), p.1419-1425
Main Authors: Seongmin Yim, Taylor, H.F.
Format: Article
Language:English
Subjects:
Algorithms
Applied sciences
Band pass filters
Circuit properties
Detection, estimation, filtering, equalization, prediction
Dispersions
Electric, optical and optoelectronic circuits
Electronics
Etalon
Etalons
Exact sciences and technology
Fiber nonlinear optics
fiber optics
Frequency conversion
Information, signal and communications theory
Integrated optics. Optical fibers and wave guides
Integrated optoelectronics. Optoelectronic circuits
Mathematical models
Mirrors
Modulators
Nonlinear optical devices
Optical and optoelectronic circuits
Optical filters
Optical modulation
Optical refraction
optical resonator
Optical resonators
optical waveguide filter
Optical waveguides
Resonators
Signal and communications theory
Signal, noise
Spectra
Telecommunications and information theory
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Description
Summary:A numerical technique for analyzing multireflector optical resonators with an arbitrarily large number of mirrors is applied to the design of ripple-free, flat-top bandpass filters. The algorithm determines unique values for the mirror reflectances R/sub j/, j=1,...,N, subject to a constraint on a contradirectional coupling strength parameter Z defined as Z=/spl sigma//sub j=1//sup N//spl zeta//sub j/ with /spl zeta//sub j/=tanh/sup -1/(/spl radic/R/sub j/). The method is applied to the design of resonators with N as high as 12. Transmittance and dispersion spectra are presented for two cases that represent relatively weak and relatively strong contradirectional coupling. These spectra illustrate that, for a fixed -20-dB width of the transmittance spectrum, the -3-dB spectral widths increase monotonically with N, while the central portion of the group refractive-index spectrum becomes flatter and wider as N increases. These designs are compared with those obtained using a Chebyshev formula to determine the mirror reflectances. Application of these multireflector resonators as bandpass filters, slow-wave electrooptic modulators, and nonlinear optical devices are discussed.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2004.840336