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

Abstract

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 [1]. 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., [2]).

Ray Chaos vs. Harmony Wave spectra that are parsimonious Yield ray-fields that can be erroneous, Make chaos from what is harmonious. L.B. Felsen