A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front

Abstract EN

Duality plays the main role in all mathematical theories.

In wave optics based on the concept of “the zero-distance phase front,” duality takes the form of Damien’s theorem and the mirror symmetry between the conic refracting surfaces with the plane zero-distance phase front and the plane refracting surfaces with the conic zero-distance phase front.

A systematic study of these dualities has been performed.