Supersymmetric Bragg gratings

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.

12 pages, 4 figures

References in corpus (4)

• Ultrafast modelocked nonlinear micro-cavity laser
• SUSY-inspired one-dimensional transformation optics
• Observation of supersymmetric scattering in photonic lattices
• Quantum mechanical analogy and supersymmetry of electromagnetic wave modes in planar waveguides

Cited by in corpus (11)

• Supersymmetric Laser Arrays
• $PT$-symmetric invisible defects and confluent Darboux-Crum transformations
• Symmetry in optics and photonics: a group theory approach
• Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
• Supersymmetry-guided method for mode selection and optimization in coupled systems
• Confluent Crum-Darboux transformations in Dirac Hamiltonians with $PT$-symmetric Bragg gratings
• Phase shifted $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
• Sequences of Exact Analytical Solutions for Plane-Waves in Graded Media
• Isospectral and square root Cholesky photonic lattices
• Lasing in para-Fermi class-B microring resonator arrays