Selection rules for second-harmonic generation in nanostructures | TAM, parity скачать в хорошем качестве

Selection rules for second-harmonic generation in nanostructures | TAM, parity

Selection rules can be expressed in terms of conservation laws for the total angular momentum projection and parity, and in most cases this is sufficient for a comprehensive description of the processes. We consider perturbative regime. 00:00:00 Intro 00:00:59 Symmetries 00:01:40 Total angular momentum projection 00:02:29 Parity 00:02:40 n denotes the nanostructure's symmetry 00:02:51 Linear scattering 00:03:20 Approach for the SHG 00:04:02 Tensor behavior 00:04:50 Tensor in cylindrical coordinates 00:05:55 Selection rules (rotational symmetry) 00:07:12 Parity 00:08:02 For AlGaAs we don't have 0, but for separate tensor components we can have it. 00:08:35 Example, GaAs disk, circular polarization 00:09:15 Linearly polarized incident wave 00:09:49 Sphere, resonances, dipole prohibited Literature: Codes: https://github.com/toftul/tensors-in-... https://github.com/kuyzirf/Chi3-in-cy... https://github.com/evgeniyha/Chi3-in-... https://github.com/kuyzirf/Tensor-rot... Selection rules for spheres: K. Frizyuk, I. Volkovskaya, D. Smirnova, A. Poddubny, and M.Petrov, “Second-harmonic generation in Mie-resonant dielectric nanoparticles made of noncentrosymmetric materials,” Phys. Rev. B 99, 075425 (2019) Other shapes: K. Frizyuk, "Second-harmonic generation in dielectric nanoparticles with different symmetries," J. Opt. Soc. Am. B 36, F32-F37 (2019) Centrosymmetric materials: Finazzi, M.; Biagioni, P.; Celebrano, M.; Duò, L., “Selection rules for second-harmonic generation in nanoparticles,” Physical Review B 76, 125414 (2007). Dadap, J. I.; Shan, J.; Eisenthal, K. B.; Heinz, T. F., “Second-Harmonic Rayleigh Scattering from a Sphere of Centrosymmetric Material,” Physical Review Letters 83, 4045–4048 (1999). Experiment: Menshikov, Evgenii, et al. "Light structuring via nonlinear total angular momentum addition with flat optics." Light: Science & Applications 14.1 (2025): 381. Other: S. Gladyshev, O. Pashina, A. Proskurin, A. Nikolaeva, Z. Sadrieva, M. Petrov, A. Bogdanov, and K. Frizyuk "Fast Simulation of Light Scattering and Harmonic Generation in Axially Symmetric Structures in COMSOL" ACS Photonics 2024 11 (2), 404-418 Tang, C. L.; Rabin, H., “Selection Rules for Circularly Polarized Waves in Nonlinear Optics,” Physical Review B 3, 4025–4034 (1971). Ożgo, Z.; Kielich, S., “Tensors in circular-cylindrical coordinates for the description of harmonic generation of circularly polarized laser light,” Physica B+C 81(1), 151–157 (1976). The beam figure was reproduced from E. Karimi, CC BY-SA 3.0, https://commons.wikimedia.org/wiki/Fi...