Abstract:
In the Rayleigh–Gans–Debye approximation, we have solved the problem of the sum-frequency generation by two plane elliptically polarized electromagnetic waves from the surface of a dielectric particle of a cylindrical shape that is coated by a thin layer possessing nonlinear optical properties. The formulas that describe the sum-frequency field have been presented in the tensor and vector forms for the second-order nonlinear dielectric susceptibility tensor, which was chosen in the general form, containing chiral components. Expressions describing the sum-frequency field from the cylindrical particle ends have been obtained for the case of a nonlinear layer possessing chiral properties. Three-dimensional directivity patterns of the sum-frequency radiation have been analyzed for different combinations of parameters (angles of incidence, degrees of ellipticity, orientations of polarization ellipses, cylindrical particle dimensions). The mathematical properties of the spatial distribution functions of the sum-frequency field, which characterize the symmetry of directivity patterns, have been revealed.
Citation:
A. A. Shamyna, V. N. Kapshai, “Sum-frequency generation from a thin cylindrical layer”, Optics and Spectroscopy, 124:1 (2018), 105–121; Optics and Spectroscopy, 124:1 (2018), 103–120
This publication is cited in the following 11 articles:
V. N. Kapshai, A. A. Shamyna, “Sum-Frequency Generation in the Surface Layer of a Dielectric Spheroidal Particle: Analytical Solution”, J Appl Spectrosc, 2025
A. A. Shamyna, V. N. Kapshai, A. I. Talkachov, “Second-Harmonic Generation in the Surface Layer of a Dielectric Spheroidal Particle: II. Analysis of the Solution”, Opt. Spectrosc., 131:7 (2023), 583
V. N. Kapshai, A. A. Shamyna, A. I. Talkachov, “Second-Harmonic Generation in the Surface Layer of a Dielectric Spheroidal Particle: I. Analytical Solution”, Opt. Spectrosc., 131:9 (2023), 820
Ze Zheng, Davide Rocco, Hang Ren, Olga Sergaeva, Yipei Zhang, K. Birgitta Whaley, Cuifeng Ying, Domenico de Ceglia, Constantino De-Angelis, Mohsen Rahmani, Lei Xu, “Advances in nonlinear metasurfaces for imaging, quantum, and sensing applications”, Nanophotonics, 12:23 (2023), 4255
V. N. Kapshai, E. D. Golovin, A. A. Shamyna, “Generatsiya voln summarnoi chastoty v poverkhnostnom sloe sfericheskoi chastitsy”, PFMT, 2022, no. 3(52), 22–27
Valery Kapshai, Anton Shamyna, Anton Talkachov, Lecture Notes in Networks and Systems, 422, Research and Education: Traditions and Innovations, 2022, 361
A. A. Shamyna, V. N. Kapshai, “Second-harmonic generation from a thin cylindrical layer: I. Analytical solution”, Optics and Spectroscopy, 126:6 (2019), 645–652
A. A. Shamyna, V. N. Kapshai, “Second-harmonic generation from a thin cylindrical layer: III. No-generation conditions”, Optics and Spectroscopy, 126:6 (2019), 661–670
V. N. Kapshai, A. A. Shamyna, “Second-harmonic generation from a thin cylindrical layer: II. Analysis of the solution”, Optics and Spectroscopy, 126:6 (2019), 653–660
A. A. Shamyna, V. N. Kapshai, “Sum-frequency generation from a thin spherical layer: II. Analysis of solution”, Optics and Spectroscopy, 125:1 (2018), 74–81
V. N. Kapshai, A. A. Shamyna, “Sum-frequency generation from a thin spherical layer: I. Analytical solution”, Optics and Spectroscopy, 124:6 (2018), 826–833
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