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Description
A domain decomposition method for analyzing very large FDTD domains, hundreds of thousands of wavelengths long, is demonstrated by application to the problem of radar scattering in the maritime environment. Success depends on the elimination of artificial scattering from the “sky” boundary and is ensured by an ultra-high-performance absorbing termination which eliminates this reflection at angles of incidence as shallow as 0.03 degrees off grazing. The two-dimensional (2D) problem is used to detail the features of the method. The results are cross-validated by comparison to a parabolic equation (PE) method and surface integral equation method on a 1.7km sea surface problem, and to a PE method on propagation through an inhomogeneous atmosphere in a 4km-long space, both at X-band. Additional comparisons are made against boundary integral equation and PE methods from the literature in a 3.6km space containing an inhomogeneous atmosphere above a flat sea at S-band. The applicability of the method to the three-dimensional (3D) problem is shown via comparison of a 2D solution to the 3D solution of a corridor of sea. As a technical proof of the scalability of the problem with computational power, a 5m-wide, 2m-tall, 1050m-long 3D corridor containing 321.8 billion FDTD cells has been simulated at X-band. A plane wave spectrum analysis of the (X-band) scattered fields produced by a 5m-wide, 225m-long realistic 3D sea surface, and the 2D analog surface obtained by extruding a 2D sea along the width of the corridor, reveals the existence of out-of-plane 3D phenomena missed by the traditional 2D analysis. The realistic sea introduces random strong flashes and nulls in addition to a significant amount of cross-polarized field. Spatial integration using a dispersion-corrected Green function is used to reconstruct the scattered fields outside of the computational FDTD space which would impinge on a 3D target at the end of the corridor. The proposed final approach is a hybrid method where 2D FDTD carries the signal for the first tens of kilometers and the last kilometer is analyzed in 3D.
ContributorsDowd, Brandon (Author) / Diaz, Rodolfo E (Thesis advisor) / Pan, George (Committee member) / Schmidt, Kevin (Committee member) / Aberle, James T., 1961- (Committee member) / Arizona State University (Publisher)
Created2018
Description
In the developing field of nonlinear plasmonics, it is important to understand the nonlinear responses of the metallic nanostructures. In the present thesis, rigorous electrodynamical simulations based on the fully vectorial three-dimensional nonlinear hydrodynamic Drude model describing metal coupled to Maxwell's equations are performed to investigate linear and nonlinear responses of the plasmonic materials and their coupling with quantum emitters.The first part of this thesis is devoted to analyzing properties of the localized surface plasmon resonances of metallic nanostructures and their nonlinear optical responses. The behavior of the second harmonic is investigated as a function of various physical parameters at different plasmonic interfaces, revealing highly complex dynamics. By collaborating with several research teams, simulations are proven to be in close agreement with experiments, both quantitative and qualitative.
The second part of the thesis explores the strong coupling regime and its influence on the second harmonic generation. Considering plasmonic systems of molecules and periodic nanohole arrays on equal footing in the nonlinear regime is done for the first time. The results obtained are supported by a simple analytical model.
ContributorsDrobnyh, Elena (Author) / Sukharev, Maxim (Thesis advisor) / Schmidt, Kevin (Committee member) / Goodnick, Stephen (Committee member) / Mujica, Vladimiro (Committee member) / Arizona State University (Publisher)
Created2022