A Study of Ray-Chaotic Cylindrical Scatterers

Abstract

Ray chaos, manifested by the exponential divergence of trajectories originating from an originally thin ray bundle, can occur even in linear electromagnetic propagation environments, due to the inherent nonlinearity of ray-tracing (eikonal) maps. In this paper, extending our previous study of a two-dimensional planar ray-chaotic prototype scenario, we consider a cylindrical scatterer made of a perfectly electric-conducting azimuthally corrugated boundary coated by a radially inhomogeneous (ray-trapping) dielectric layer. For this configuration, we carry out a comprehensive parametric study of the ray-dynamical and full-wave scattering (monostatic and bistatic radar-cross-section) signatures, with emphasis on possible implications for high-frequency wave asymptotics ("ray-chaotic footprints").

Short-Pulsed Wavepacket Propagation in Ray-Chaotic Enclosures

“…(19) reproduces the well-known J 0 -type FD form [37] in the time-harmonic limit. As shown in Appendix B, the above heuristic-based result is consistent with first-principle calculations [i.e., with (16) and (10)]. In particular, as also shown in Appendix B, we can relate the multiplicative constant Ξ in (19) to the critical parameters in the SP-RWP model, viz.,…”

“…where stationarity in space and time (i.e., independence on r and t) is anticipated. Alternatively, the correlation in (16) may also be calculated via a spectral (Wiener-Khinchin-type) representation [49],…”

“…is always deterministic. This implies that the spatio-temporal correlation for the magnetic field is simply related to that of the electric field in (16) via…”

Nonperiodic echoes from quantum mushroom-billiard hats

“…two dimensional electron gases in quantum dots or more complicated systems [5,6,7,8]. Recently billiard systems with large openings have attracted attention [9,10,11,12,13,14]. In [15] properties of the classical dynamics of open mushroom billiards were investigated.…”