Abstract

A system theoretic model of a unit cell of a two-dimensional tunable lattice filter architecture consisting of four 4-port couplers and four waveguides containing semiconductor optical amplifiers is provided. It is shown that such multiple input–multiple output devices can be modeled in state space and by transfer function matrices. This modeling can also be extended to devices constructed by concatenations of the basic building block, the unit cell.

© 2009 Optical Society of America

Extended active optical lattice filters: filter synthesis

Mieczyslaw Dabkowski, Amr El Nagdi, Louis R. Hunt, Ke Liu, Duncan L. MacFarlane, and Viswanath Ramakrishna
J. Opt. Soc. Am. A 27(4) 895-910 (2010)

Extended lattice filters enabled by four-directional couplers

Duncan L. MacFarlane, Jian Tong, Chintan Fafadia, Vishnupriya Govindan, L. Roberts Hunt, and Issa Panahi
Appl. Opt. 43(33) 6124-6133 (2004)

Factorizable state-space model for active optical filter structures with two-port couplers

Issa Panahi and Govind Kannan
Appl. Opt. 47(17) 3185-3195 (2008)

Composition methods for four-port couplers in photonic integrated circuitry

Tiberiu Constantinescu, Viswanath Ramakrishna, Nicholas Spears, L. Roberts Hunt, Jian Tong, Issa Panahi, Govind Kannan, Duncan L. MacFarlane, Gary Evans, and Marc P. Christensen
J. Opt. Soc. Am. A 23(11) 2919-2931 (2006)

Modeling two-dimensional anisotropic photonic crystals by Dirichlet-to-Neumann maps

Huan Xie and Ya Yan Lu
J. Opt. Soc. Am. A 26(7) 1606-1614 (2009)