title: Use of photonic crystal cavities for temporal differentiation of optical signals.
abstract: 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.
authors.affiliation: Image Processing Systems Institute of the Russian Academy of Sciences, Samara, Russia.
authors.forename: Nikolay L
authors.initials: NL
authors.lastname: Kazanskiy
authors.forename: Pavel G
authors.initials: PG
authors.lastname: Serafimovich
authors.forename: Svetlana N
authors.initials: SN
authors.lastname: Khonina