TY - JOUR
T1 - A Stochastic Green's Function for Solution of Wave Propagation in Wave-Chaotic Environments
AU - Lin, Shen
AU - Peng, Zhen
AU - Antonsen, Thomas M.
N1 - Manuscript received June 20, 2019; revised October 23, 2019; accepted December 2, 2019. Date of publication January 8, 2020; date of current version May 5, 2020. This work was supported in part by the U.S. National Science Foundation (NSF) CAREER Award under Grant #1750839 and in part by the U.S. Air Force Office of Scientific Research (AFOSR)/Air Force Research Laboratory (AFRL) Center of Excellence (COE) on the Science of Electronics in Extreme Electromagnetic Environments under Grant FA9550-15-1-0171. (Corresponding author: Zhen Peng.) Shen Lin and Zhen Peng were with the Applied Electromagnetics Group, Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131 USA. They are now with the Electrical and Computer Engineering Department, University of Illinois at Urbana–Champaign, Urbana, IL 61801 USA (e-mail: [email protected]; [email protected]).
PY - 2020/5
Y1 - 2020/5
N2 - We present a statistical, mathematical, and computational model for prediction and analysis of wave propagation through complex, wave-chaotic environments. These are generally enclosed environments that are many wavelengths in extent and are such that, in the geometric optics limit, ray trajectories diverge from each other exponentially with distance traveled. The wave equation solution is expressed in terms of a novel stochastic Green's function that includes both coherent coupling due to direct path propagation and incoherent coupling due to propagation through multiple paths of the scattering environment. The statistically fluctuating portion of the Green's function is characterized by random wave model and random matrix theory. Built upon the stochastic Green's function, we have derived a stochastic integral equation method, and a hybrid formulation to incorporate the component-specific attributes. The proposed model is evaluated and validated through representative experiments.
AB - We present a statistical, mathematical, and computational model for prediction and analysis of wave propagation through complex, wave-chaotic environments. These are generally enclosed environments that are many wavelengths in extent and are such that, in the geometric optics limit, ray trajectories diverge from each other exponentially with distance traveled. The wave equation solution is expressed in terms of a novel stochastic Green's function that includes both coherent coupling due to direct path propagation and incoherent coupling due to propagation through multiple paths of the scattering environment. The statistically fluctuating portion of the Green's function is characterized by random wave model and random matrix theory. Built upon the stochastic Green's function, we have derived a stochastic integral equation method, and a hybrid formulation to incorporate the component-specific attributes. The proposed model is evaluated and validated through representative experiments.
KW - Chaos
KW - Green function
KW - integral equations
KW - propagation
KW - statistics
UR - https://www.scopus.com/pages/publications/85077987791
UR - https://www.scopus.com/pages/publications/85077987791#tab=citedBy
U2 - 10.1109/TAP.2019.2963568
DO - 10.1109/TAP.2019.2963568
M3 - Article
AN - SCOPUS:85077987791
SN - 0018-926X
VL - 68
SP - 3919
EP - 3933
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 5
M1 - 8952896
ER -