Jha, Sudhanshu S. ; Warke, Chindu S.
(1967)
*Interband contributions to optical harmonic generation at a metal surface*
Physical Review, 153
(3).
pp. 751-759.
ISSN 0031-899X

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Official URL: http://link.aps.org/doi/10.1103/PhysRev.153.751

Related URL: http://dx.doi.org/10.1103/PhysRev.153.751

## Abstract

The effect of interband transitions of electrons on
the linear as well as the bilinear polarization induced in a
metal by a light wave of (circular) frequency ω has been
calculated. The calculation of the linear polarization or
linear current density leads to the familiar expression for
the dielectric constant ε(ω). The part of the
bilinear polarization varying as e^{-2iωt} for
free conduction electrons with a potential barrier at the
surface is known to have the form
P^{2(ω)}(NL)=α_{pl}E^{(ω)} ×H^{(ω)}+β_{pl}E^{(ω)}∇·E^{(ω)}, where
E^{(ω)} and H^{(ω)} are,
respectively, the electric and magnetic fields varying as
e^{-iωt}. It is shown that the introduction of a
periodic potential leads to the same form for
P^{(2ω)}(NL) for isotropic metals, with α
and β now containing both the intraband and interband
contributions. Except near a resonance for interband
transitions involving at least 3 bands, it is found that in
the long-wavelength limit for the light wave the general
expression for P^{(2ω)} may be approximated by a
form which may be completely specified in terms of
ε(ω) and ε(2ω). By solving Maxwell's
equations for the fundamental as well as the second-harmonic
fields for arbitrary ε, α, and β, general
expressions for both linear and bilinear reflection
coefficients have been derived. These phenomenological
solutions can be used to determine experimentally the
residual 3-band contributions to P^{(2ω)}(NL)
which cannot be expressed in terms of the linear dielectric
constant alone.

Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |

ID Code: | 13853 |

Deposited On: | 12 Nov 2010 14:36 |

Last Modified: | 03 Jun 2011 04:04 |

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