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Design of multireflector resonant bandpass filters for guided wave optics

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1 Author(s)
Taylor, H.F. ; Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA

A design algorithm for ripple-free flat-top bandpass filters in optical waveguides containing N equally spaced, lossless mirrors is described. The algorithm assumes that the propagation phase shift φ between centers of adjacent mirrors equals (m+1/2)π radians at resonance frequencies νm, with m an integer. The mirror reflectances Rj, j=1,…,N, are chosen such that the transmittance T(ν) of the filter is 1 at the resonance frequencies, and terms in the power series expansion of T(ν) of order less than (ν-νm)2(N-1) are eliminated. This ensures that T(ν) approaches an ideal rectangular profile with increasing N, as illustrated by calculated transmittance spectra for N=2, 4 and 6. The dispersion of these multimirror etalons has also been explored. For the higher N values, it is found that the group refractive index is a minimum at the resonance frequencies, in contrast to the case N=2 for which the group index is a maximum at the resonances

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Lightwave Technology, Journal of  (Volume:19 ,  Issue: 6 )