## Second-harmonic generation in the scattering of light by an infinite cylinder

JOSA B, Vol. 21, Issue 1, pp. 36-44 (2004)

http://dx.doi.org/10.1364/JOSAB.21.000036

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### Abstract

We study the generation of second-harmonic radiation in the interaction of light with an infinite cylinder illuminated perpendicular to its axis by an *s*- or *p*-polarized monochromatic electromagnetic wave. With the assumption of a homogeneous and isotropic medium, we derive analytical expressions for the second-harmonic field radiated by the cylinder. The theoretical results are illustrated through calculations of the total scattered power and its angular distribution by employment of a free-electron model for the linear and nonlinear susceptibilities. The scattering cross sections at the harmonic frequency display peaks due to the excitation of resonances.

© 2004 Optical Society of America

**OCIS Codes**

(190.3970) Nonlinear optics : Microparticle nonlinear optics

(190.4350) Nonlinear optics : Nonlinear optics at surfaces

(240.4350) Optics at surfaces : Nonlinear optics at surfaces

(290.5850) Scattering : Scattering, particles

**Citation**

Claudio I. Valencia, Eugenio R. Méndez, and Bernardo S. Mendoza, "Second-harmonic generation in the scattering of light by an infinite cylinder," J. Opt. Soc. Am. B **21**, 36-44 (2004)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-21-1-36

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