The Lagrange invariant provides a basic description of an optical imaging system. Many important conclusions can be drawn from it. We discovered that the Lagrange invariant is violated in a self-interference holography system with particular characteristics. With a proof-of-principle system, we proved this violation both theoretically and experimentally. This finding enables future exciting possibilities in optical imaging.
© 2013 Optical Society of America
Original Manuscript: February 14, 2013
Revised Manuscript: April 24, 2013
Manuscript Accepted: April 25, 2013
Published: May 24, 2013
Xiaomin Lai, Shaoqun Zeng, Xiaohua Lv, Jing Yuan, and Ling Fu, "Violation of the Lagrange invariant in an optical imaging system," Opt. Lett. 38, 1896-1898 (2013)