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arXiv · 1501.02063

Supersymmetric Bragg gratings

Stefano Longhi
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Abstract

The supersymmetric (SUSY) structure of coupled-mode equations that describe scattering of optical waves in one-dimensional Bragg gratings is highlighted. This property can find applications to the synthesis of special Bragg filters and distributed-feedback (DFB) optical cavities. In particular, multiple SUSY (Darboux-Crum) transformations can be used to synthesize DFB filters with any desired number of resonances at target frequencies. As an example, we describe the design of a DFB structure with a set of equally-spaced resonances, i.e. a frequency comb transmission filter.

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Stefano Longhi. 2015-01-09. Supersymmetric Bragg gratings. https://doi.org/10.1088/2040-8978%2F17%2F4%2F045803

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