We show that general-form optical cavities are able to perform the temporal differentiation of optical signals. Analytical relationships to account for the scattering losses for such a cavity’s characteristics are deduced on the basis of temporal coupled-mode theory. A compact nanocavity-aided differentiator based on a ridge photonic crystal waveguide is designed.
© 2013 Optical Society of America
Optics in Computing
Original Manuscript: November 19, 2012
Revised Manuscript: January 31, 2013
Manuscript Accepted: February 27, 2013
Published: March 29, 2013
Nikolay L. Kazanskiy, Pavel G. Serafimovich, and Svetlana N. Khonina, "Use of photonic crystal cavities for temporal differentiation of optical signals," Opt. Lett. 38, 1149-1151 (2013)