Toward a Full-Wave-Based Electromagnetics Approach to Chaotic Footprints in a Complex Deterministic Environment: A Test Model With Coupled Floquet-Type and Ducted-Type Mode Characteristics
Deterministic chaos has gradually emerged as an ubiquitous natural phenomenon. Basically, it consists of exponentially increasing separation between nearby phase-space trajectories describing the (e.g., time) evolution of a (even feebly) nonlinear dynamic system with sufficiently many degrees of freedom, resulting in long-time algorithmic unpredictability and random-like behavior . Despite the pervasiveness of chaos in physics, chaotic phenomena have been studied relatively little in connection with applied elect romagnetics (EM). Most published studies refer to optical-wavelength systems where chaos usu ally stems from the nonlinear EM constitutive properties of material medi a. However, during the last decade there has been a growing interest in linear EM propagation environments featuring ray-chaotic behavior. Apart from intrinsic theoretical aspects (ray theory describes wave dynamics in the zero-wavelength limit), this interest is motivated by the possibility of designing novel devices and components (microlasers, resonators, etc.) where ray chaos has been demonstrated to playa key role (see, e.g., ).
KeywordsDeterministic Chaos Exit Angle Dielectric Slab Linear Wave Equation IEEE Trans Antenna
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