2026-09-23T01:22:30Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/115665 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Peng, Zhen Peng, Zhen Jin, Jianming Bernhard, Jennifer Truman Zhao, Yang 2022-05 application/pdf en text Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2024-05-01 The student, Shen Lin, accepted the attached license on 2022-03-01 at 20:06. The student, Shen Lin, submitted this Dissertation for approval on 2022-03-01 at 20:32. This Dissertation was approved for publication on 2022-03-02 at 14:51. DSpace SAF Submission Ingestion Package generated from Vireo submission #17517 on 2022-11-11 at 12:18:30 Stochastic green’s function method for the statistical analysis of wave chaotic systems Lin, Shen 2022-03-02 Stochastic Green's function Wave chaos Electromagnetic coupling Scalar Vector Stochastic integral equation Statistics Intentional electromagnetic interfere MIMO There is a long-standing need for the statistical description of complex wave systems displaying ray chaotic dynamics. This thesis presents a stochastic Green’s function (SGF) method for wave interaction within wave-chaotic media, which quantitatively describes generic statistical properties of wave scattering dynamics rather than detailed specifics inside the system. The statistically fluctuating (random) portion of the Green’s function is characterized by random wave model and random matrix theory. The formulation rigorously characterizes coherent and incoherent propagation within a comprehensive form. 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 extensions of the SGF method are discussed next: The vector dyadic SGF approach is proposed to study the correlations of the boundary fields and predict the statistics of vector EM fields; the Broadband SGF approach is developed to investigate spectral-spatial correlations of wave propagation. Finally, we extend the theory of SGF from the spatial domain to the spatio-temporal domain to characterize both spatial and temporal variations and correlations of EM fields in the fully developed wave-chaotic dynamics. The model enables a spatio-temporal statistical analysis of chaotic wave dynamics without the need for detailed knowledge of the complex environment. The proposed models are evaluated and validated through representative experiments. Thesis eng https://hdl.handle.net/2142/115665 Copyright 2022 Shen Lin Ph.D. Dissertation Electrical & Computer Engr University of Illinois at Urbana-Champaign Electrical & Computer Eng