Retarded Interaction of Electromagnetic field and Symmetry Violation of Time Reversal in Non-linear Optics

TL;DR

This paper investigates how retarded interactions in non-linear optics lead to violations of time reversal symmetry, affecting various nonlinear optical phenomena.

Contribution

It introduces revised formulas for nonlinear polarizations considering retarded interactions, revealing symmetry violations in nonlinear optical processes.

Findings

Nonlinear optical processes violate time reversal symmetry.

Revised formulas for nonlinear polarizations are derived.

Various phenomena like sum frequency and self-focusing are analyzed.

Abstract

Based on Document (1), by considering the retarded interaction of radiation fields, the third order transition probabilities of stimulated radiations and absorptions of light are calculated. The revised formulas of nonlinear polarizations are provided. The results show that that the general processes of non-linear optics violate time reversal symmetry. The phenomena of non-linear optics violating time reversal symmetry just as sum frequency, double frequency, different frequencies, double stable states, self-focusing and self-defocusing, echo phenomena, as well as optical self-transparence and self absorptions and so on are analyzed.