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Light evolution in arbitrary two-dimensional waveguide arrays

: Szameit, A.; Pertsch, T.; Dreisow, F.; Nolte, S.; Tünnermann, A.; Peschel, U.; Lederer, F.


Physical Review. A 75 (2007), No.5, Art. 053814, 14 pp.
ISSN: 0556-2791
ISSN: 1050-2947
ISSN: 1094-1622
Journal Article
Fraunhofer IOF ()

We introduce an analytical formula for the dynamics of light propagation in a two-dimensional waveguide lattice including diagonal coupling. A superposition of infinite arrays created by imaginary sources is used to derive an expression for boundary reflections. It is shown analytically that for large propagation distances the propagating field reaches uniformity. Furthermore, periodic field recovery is studied and discrete anomalous refraction and diffraction are investigated in arbitrary two-dimensional lattices.