The Basics of Non-Linear Optics

The Basics of Non-Linear Optics

Copyright: © 2014 |Pages: 37
DOI: 10.4018/978-1-4666-4687-2.ch005

Abstract

At a semi-classical level, the main analytical electromagnetic field theory tools were first used to describe the non-linear effects of light-light coupling as a basic cause of nonlinear optical phenomena and applications.
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5.2. General Maxwell’S Equations

We start by considering Maxwell’s equations in the Gaussian form (Boyd 2008; Bloembergen 1996):

978-1-4666-4687-2.ch005.m01
(5.1)
978-1-4666-4687-2.ch005.m02
(5.2)
978-1-4666-4687-2.ch005.m03
(5.3)
978-1-4666-4687-2.ch005.m04
(5.4) where 978-1-4666-4687-2.ch005.m05 is a vector quantity that varies rapidly in time. The regions of space in which we are interested are the ones with free charges and currents:

978-1-4666-4687-2.ch005.m06
(5.5)
978-1-4666-4687-2.ch005.m07
(5.6)

We assume that the medium that passed through the electromagnetic field is nonmagnetic:

978-1-4666-4687-2.ch005.m08
(5.7)
978-1-4666-4687-2.ch005.m09
(5.8)

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