Abstract
Based on Rayleigh–Gans–Debye model, the spatial distribution of the second-harmonic radiation generated in a thin surface layer of a spheroidal dielectric particle is presented using three-dimensional directivity patterns. The peculiarities of forms of the directivity patterns are described for the key values of the parameters. The symmetries of the directivity patterns are revealed, as in the case of second-harmonic generation in a surface layer of a spherical particle. The relationship between the polarization of the generated radiation and the polarization of the incident wave is described.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Jen, S., Gonella, G., Dai, H.: The effect of particle size in second harmonic generation from the surface of spherical colloidal particles. I: experimental observations. J. Phys. Chem. A 113(16), 4758–4762 (2009). https://doi.org/10.1021/jp9009959
Jen, S., Dai, H., Gonella, G.: The effect of particle size in second harmonic generation from the surface of spherical colloidal particles. II: the nonlinear rayleigh–gans–debye model. J. Phys. Chem. C 114(10), 4302–4308 (2010). https://doi.org/10.1021/jp910144c
Viarbitskaya, S., Kapshai, V., van der Meulen, P., Hansson, T.: Size dependence of second-harmonic generation at the surface of microspheres. Phys. Rev. A 81(5), 053850 (2010). https://doi.org/10.1103/PhysRevA.81.053850
Roke, S., Bonn, M., Petukhov, V.: Nonlinear optical scattering: the concept of effective susceptibility. Phys. Rev. B 70(11), 115106 (2004). https://doi.org/10.1103/PhysRevB.70.115106
de Beer, A., Roke, S., Dadap, J.: Theory of second-harmonic and sum-frequency scattering from arbitrarily shaped particles. J. Opt. Soc. Am. B 28(6), 1374–1384 (2011). https://doi.org/10.1364/JOSAB.28.001374
Dadap, J., Shan, J., Heinz, T.: Theory of optical second-harmonic generation from a sphere of centrosymmetric material: small-particle limit. J. Opt. Soc. Am. B 21(7), 1328–1347 (2004). https://doi.org/10.1364/JOSAB.21.001328
Dadap, J., Shan, J., Eisenthal, K., Heinz, T.: Second-harmonic rayleigh scattering from a sphere of centrosymmetric material. Phys. Rev. Lett. 83(20), 4045–4048 (1999). https://doi.org/10.1103/PhysRevLett.83.4045
Kapshai, V., Shamyna, A.: Second-harmonic generation from a thin spherical layer and no-generation conditions. Opt. Spectrosc. 123(3), 440–453 (2017). https://doi.org/10.1134/S0030400X17090144
Shamyna, A., Kapshai, V.: Second-harmonic generation from a thin cylindrical layer. I. an analytical solution. Optics Spectrosc. 126(6), 645–652 (2019). https://doi.org/10.1134/S0030400X19060225
Kapshai, V., Shamyna, A.: Second-harmonic generation from a thin cylindrical layer. II. Analysis of solution. Optics Spectros. 126(6), 653–660 (2019). https://doi.org/10.1134/S0030400X19060134
Shamyna, A., Kapshai, V.: Second-harmonic generation from a thin cylindrical layer. III. No-Generation conditions. Optics Spectros. 126(6), 661–670 (2019). https://doi.org/10.1134/S0030400X19060237
Kapshai, V., Shamyna, A.: Sum-frequency generation from a thin spherical layer: I. analytical solution. Optics Spectros. 124(6), 826–833 (2018). https://doi.org/10.1134/S0030400X18060115
Shamyna, A., Kapshai, V.: Sum-frequency generation from a thin spherical layer: II. analysis of solution. Optics Spectros. 125(1), 74–81 (2018). https://doi.org/10.1134/S0030400X1807024X
de Beer, A., Roke, S.: Sum frequency generation scattering from the interface of an isotropic particle: geometrical and chiral effects. Phys. Rev. B 75(24), 245438 (2007). doi:https://doi.org/10.1103/PhysRevB.75.245438
Shamyna, A., Kapshai, V.: Sum-frequency generation from a thin cylindrical layer. Opt. Spectrosc. 124(1), 103–120 (2018). https://doi.org/10.1134/S0030400X18010198
Acknowledgements.
This work was supported by Belarusian Republican Foundation for Fundamental Research (project No. F20M–011).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Kapshai, V., Shamyna, A., Talkachov, A. (2022). Analysis of the Spatial Distribution of the Second-Harmonic Radiation Generated in a Thin Surface Layer of a Spheroidal Dielectric Particle. In: Khakhomov, S., Semchenko, I., Demidenko, O., Kovalenko, D. (eds) Research and Education: Traditions and Innovations. INTER-ACADEMIA 2021. Lecture Notes in Networks and Systems, vol 422. Springer, Singapore. https://doi.org/10.1007/978-981-19-0379-3_38
Download citation
DOI: https://doi.org/10.1007/978-981-19-0379-3_38
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-0378-6
Online ISBN: 978-981-19-0379-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)