Supersymmetric Mode Converters and Transformation Optics

摘要

The idea of supersymmetry (SUSY) was conceived within the framework of quantum field theory as a means to treat bosons and fermions on equal footing. While SUSY verification remains an ongoing task, some of its fundamental notions have been adapted to other fields. Optics can provide a versatile platform where SUSY transformations can be studied and directly observed. One of the most interesting consequences of this symmetry is the ability to provide global phase-matching conditions: When related via a SUSY mapping, two seemingly different refractive index (RI) distributions exhibit modes with pairwise identical propagation constants, while the fundamental mode is removed in the partner structure.