Vector spherical harmonics (Multipoles). Rotations. Total angular momentum. Helicity. скачать в хорошем качестве

Vector spherical harmonics (Multipoles). Rotations. Total angular momentum. Helicity.

Literature: 1. Bohren, C. F.; Huffmann, D. R. (2010). Absorption and scattering of light by small particles. New York: Wiley 2. Stratton, Julius Adams. Electromagnetic Theory. 2015 3. Khersonskii, V. K., et al. Quantum Theory Of Angular Momentum. World Scientific Publishing Company, 1988, doi:10.1142/0270. 4. Tung, Wu-Ki. Group Theory in Physics. 1985 5. https://en.wikipedia.org/wiki/Vector_... 6. Gladyshev, Sergey, et al. Phys. Rev. B, vol. 102, no. 7, 3 Aug. 2020, p. 075103, doi:10.1103/PhysRevB.102.075103 (picture is taken from here) 7. Vavilin, Maxim and Ivan Fernandez-Corbaton. "The polychromatic T-matrix.” J. Quant. Spectrosc. Radiat. Transfer, vol. 314, 1 Feb. 2024, p. 108853 8. Toftul, Ivan, et al. "Nonlinearity-Induced Optical Torque." Phys. Rev. Lett., vol. 130, no. 24, 15 June 2023, p. 243802 (see Supplementary) 9. Daniel Zwanziger. Quantum Field Theory of Particles with Both Electric and Magnetic Charges. Phys. Rev., 176:1489{1495, Dec 1968. 10. Hergert, Wolfram and R. Matthias Geilhufe. Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica. Wiley-VCH, 2018, (Rotations of vector functions) 11. Gladyshev, Sergey, et al. "Symmetry analysis and multipole classification of eigenmodes in electromagnetic resonators for engineering their optical properties." Phys. Rev. B, vol. 102, no. 7, 3 Aug. 2020, p. 075103, https://arxiv.org/pdf/2002.11411 Multipolar decomposition of eigenmodes 12. Nikitina, Anastasia and Kristina Frizyuk. "Achiral Nanostructures: Perturbative Harmonic Generation and Dichroism Under Vortex and Vector Beams Illumination." Adv. Opt. Mater., vol. 12, no. 25, 1 Sept. 2024, p. 2400732, https://doi.org/10.1002/adom.202400732 00:00 Intro 00:22 Expressions for vector spherical harmonics 01:42 Far-field 02:27 Illustration. How do the multipoles look like. 03:05 Behavior of spherical functions and VSH under rotations 04:14 Complex multipoles 04:50 Total angular momentum 05:12 projection of TAM 06:06 Helicity