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Elliptically polarized fields and responses

Authors:

Institution:

1. Department of Physics, University of Oslo, P.O. Box 1048, 0316, Oslo 3, Norway
2. University of Oslo, Blindern, 0316, Oslo 3, Norway
3. International Center for Materials Physics, Academia Sinica, Shenyang, China

Abstract:

An ellipticaliy polarized field applied to a physical system and related responses are very common in physics. Due to the loss of symmetry, the response problems are very difficult to solve, and are usually described by nonlinear and unseparable equations. By introducing a time transformation=(1/)tan^–1(r tant), wherer is the ratio between the two components, one may reset the symmetry of the field. The equation

$\frac{{d\theta }}{{dt}} = \frac{{\omega r}}{{\cos ^2 \omega t + r^2 \sin ^2 \omega t}} - \omega _{\text{c}} (\cos ^2 \omega t + r^2 \sin ^2 \omega t)\sin {\text{2}}\theta$

Keywords:
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