General properties of <i>N</i> × <i>M</i> self-images in a strongly confined rectangular waveguide are given. Analytical formulas are derived for the positions, amplitudes, and phases of the <i>N</i> × <i>M</i> images at the end of multimode interference section. The formulas are verified with numerical simulation of a three-dimensional semivectorial beam propagation method.
© 2003 Optical Society of America
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(130.3120) Integrated optics : Integrated optics devices
(230.1360) Optical devices : Beam splitters
(230.7370) Optical devices : Waveguides
Sailing He, Xianyu Ao, and Vladimir Romanov, "General Properties of N x M Self-Images in a Strongly Confined Rectangular Waveguide," Appl. Opt. 42, 4855-4859 (2003)