Optical second-harmonic response of a BCS-like superconductor

John F. Nielsen; Ole Keller

doi:10.1117/12.20475

1 August 1990 Optical second-harmonic response of a BCS-like superconductor

John F. Nielsen, Ole Keller

Proceedings Volume 1273, Nonlinear Optical Materials III; (1990) https://doi.org/10.1117/12.20475
Event: The International Congress on Optical Science and Engineering, 1990, The Hague, Netherlands

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.

Citation Download Citation

John F. Nielsen and Ole Keller "Optical second-harmonic response of a BCS-like superconductor", Proc. SPIE 1273, Nonlinear Optical Materials III, (1 August 1990); https://doi.org/10.1117/12.20475

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