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Proceedings Paper

Optical second-harmonic response of a BCS-like superconductor
Author(s): John F. Nielsen; Ole Keller
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Paper Abstract

In connection with a recently obtained quantum mechanical expression for the optical second-harmonic response tensor (OSHRT) for a BCS-like superconductor, we present a Taylor series expansion of the OSHRT to lowest order in the wave vector of the fundamental electromagnetic wave. It is shown that in the limit T > Tc , the Taylor series expansion of the OSHRT is identical to that obtained in the collisionless limit from the Boltzmann equation approach in the near-local regime. The dispersion relation for waves at the fundamental frequency is obtained using a Taylor series expansion of the linear conductivity tensor. Numerical results are presented showing the frequency dependence for parts of the obtained near-local OSHRT involving transversely polarized fundamental waves. In the superconducting state an increase in the OSHRT in comparison to that in the normal state is found for frequencies above the gap frequency. Below the gap the OSHRT is smaller in the superconducting phase than in the normal phase.

Paper Details

Date Published: 1 August 1990
PDF: 11 pages
Proc. SPIE 1273, Nonlinear Optical Materials III, (1 August 1990); doi: 10.1117/12.20475
Show Author Affiliations
John F. Nielsen, Univ. of Aalborg (Denmark)
Ole Keller, Univ. of Aalborg (Denmark)

Published in SPIE Proceedings Vol. 1273:
Nonlinear Optical Materials III
Peter Guenter, Editor(s)

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