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Periodic Orbit Theory of Diffraction

1994; American Physical Society; Volume: 73; Issue: 17 Linguagem: Inglês

10.1103/physrevlett.73.2304

1092-0145

Gábor Vattay, A. Wirzba, Per E. Rosenqvist,

Nonlinear Photonic Systems

An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of singularity and which correspond to creeping waves. A new family of resonances in the two-disk scattering system can be well described which is completely missing if only the traditional periodic orbits are used.