TL;DR
This paper explores the supersymmetric structure of coupled-mode equations in 1D Bragg gratings, enabling the design of advanced optical filters and cavities with tailored resonance properties.
Contribution
It introduces the application of supersymmetry and Darboux-Crum transformations to synthesize DFB filters with customizable resonances.
Findings
Design of DFB filters with arbitrary resonances
Implementation of supersymmetric transformations in optical filter synthesis
Creation of frequency comb transmission filters
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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