Abstract

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 between centers of adjacent mirrors equals (m+1/2) radians at resonance frequencies m, with m an integer. The mirror reflectances Rj, j= 1, ..., N, are chosen such that the transmittance T() of the filter is 1 at the resonance frequencies, and terms in the power series expansion of T() of order less than ( -m)2(N-1) are eliminated. This ensures that T() 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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References

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Appl. Opt. (1)

J. Lightwave Technol. (2)

C. E. Lee, W. N. Gibler, R. A. Atkins and H. F. Taylor, "In-line fiber Fabry-Perot interferometer with high-reflectance internal mirrors", J. Lightwave Technol., vol. 10, pp. 1376-1379, 1992.

H. F. Taylor, "Enhanced electrooptic modulation efficiency utilizing slow-wave optical propagation", J. Lightwave Technol., vol. 17, pp. 1875-1883, 1999.

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