Approximation theory - Chaos theory - Cylinders (shapes) - Dielectric materials - Electric field effects - Geometrical optics - Light reflection - Light refraction - Mathematical models - Particles (particulate matter) - Quantum theory - Wave effects;
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摘要:
The scattering of light by a `stadium-shaped' dielectric cylinder is discussed. In the geometrical-optics limit, the scattering is chaotic, leading to a cross section with a complicated set of rainbow singularities. Wave effects, which soften these singularities into smooth peaks, are estimated by mapping the light-scattering problem onto the quantum-mechanical scattering of a particle by a potential well and applying a semiclassical approximation. Conditions necessary for the experimental observation of chaotic effects are discussed.