Anisotropic Propagation of Electromagnetic Waves

Abstract

This chapter will analyze the properties of electromagnetic wave propagation in anisotropic media. Of particular interest are positive index, anisotropic, and magneto-dielectric media. Engineered anisotropic media provide unique electromagnetic properties including a higher effective refractive index, high permeability with relatively low magnetic loss tangent at microwave frequencies, and lower density and weight than traditional media. This chapter presents research including plane wave solutions to propagation in anisotropic media, a mathematical derivation of birefringence in anisotropic media, modal decomposition of rectangular waveguides filled with anisotropic media, and the full derivation of anisotropic transverse resonance in a partially loaded waveguide. These are fundamental theories in the area of electromagnetic wave propagation that have been reformulated for fully anisotropic magneto-dielectric media. The ensuing results will aide interested parties in understanding wave behavior for anisotropic media to enhance designs for radio frequency devices based on anisotropic and magnetic media.

Rock Avalanche-Generated Sediment Mass Flows: Definitions and Hazard

“…Another application of these predictions is in the evaluation of numerical model results. This hypothetical benchmarking example was modeled using the Dan3D numerical model (Mitchell et al, 2018). The model was run using a range of rheological parameters sampled from a dataset of back-analyzed cases to represent a range of potential mobilities (Aaron and McDougall, 2019).…”

“…The model was run using a range of rheological parameters sampled from a dataset of back-analyzed cases to represent a range of potential mobilities (Aaron and McDougall, 2019). The predicted impact areas from these model runs, shown in Figure 11B ranged from 4.1 m 2 × 10 6 m 2 to 5.2 × 10 6 m 2 (Mitchell et al, 2018). These areas correspond to probabilities of exceedance of 0.04 and 0.01, respectively, for the Zone 1 impact area using Equation 4.…”

“…With the data available, the descriptive attributes were not found to have a strong effect on the relationships, which may be in part due to the limited size of the dataset. Additional well constrained Topography of potential rock avalanche area with the maximum and minimum mobility cases from numerical modeling (Mitchell et al, 2018) and (C) the runout profile used for the empirical analysis, showing the probability of runout exceedance results along the travel path. cases, especially cases that have well described substrate conditions, may allow for more refined predictions using more attributes.…”

Plane-wave propagation in media with electromagnetic anisotropy

“…Artificial materials like metamaterials [4], ferrites [3,5], and magneto-dielectrics [6], have become critical in improving the functionally, design and implementation of electromagnetic devices [7]. Previously, the study of anisotropy was mostly focused on optical wavelengths, where the phenomenon occurs naturally.…”

“…Previously, the study of anisotropy was mostly focused on optical wavelengths, where the phenomenon occurs naturally. The development of artificial materials has prompted the study of anisotropy for applications at megahertz and gigahertz frequencies [7], and also allowed the design of objects with electromagnetic anisotropy, where both the permittivity and permeability of a medium can be tensors [5].…”