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Scattering matrix for chiral harmonic generation and frequency mixing in nonlinear metasurfaces
- Source :
- Journal of Optics 26, 055003 (2024)
- Publication Year :
- 2023
-
Abstract
- We generalize the concept of optical scattering matrix ($S$-matrix) to characterize harmonic generation and frequency mixing in planar metasurfaces in the limit of undepleted pump approximation. We show that the symmetry properties of such nonlinear $S$-matrix are determined by the microscopic and macroscopic symmetries of the metasurface. We demonstrate that for description of degenerate frequency mixing processes such as optical harmonic generation, the multidimensional $S$-matrix can be replaced with a reduced two-dimensional $S$-matrix. We show that for metasurfaces possessing specific point group symmetries, the selection rules determining the transformation of the reduced nonlinear $S$-matrix are simplified substantially and can be expressed in a compact form. We apply the developed approach to analyse chiral harmonic generation in nonlinear metasurfaces with various symmetries including rotational, in-plane mirror, and out-of-plane mirror symmetries. For each of those symmetries, we confirm the results of the developed analysis by full-wave numerical calculations. We believe our results provide a new paradigm for engineering nonlinear optical properties of metasurfaces which may find applications in active and nonlinear optics, biosensing, and quantum information processing.<br />Comment: 16 pages, 7 figures, 3 tables, 46 references
- Subjects :
- Physics - Optics
Physics - Applied Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Optics 26, 055003 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2311.03686
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/2040-8986/ad3a78