We study the generation of second-harmonic radiation in the interaction of light with an infinite cylinder illuminated perpendicular to its axis by an <i>s</i>- or <i>p</i>-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
(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
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)