{'fraction_non_alphanumeric': 0.015557476231633534, 'fraction_numerical': 0.0, 'mean_word_length': 5.975903614457831, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A physical explanation for the all-angle reflectionless property of transformation optics designs

In this paper, the all-angle reflectionless property of transformation optics devices is analyzed, and a physical explanation is provided for it. To this end, plane wave propagation through a planar boundary separating two homogenous, lossless magnetically anisotropic media is studied. The general form of material parameters enabling an all-angle reflectionless transmission of electromagnetic waves through the boundary is derived. Similarities are drawn between this general form of all-angle reflectionless material parameters and those observed in transformation optics designs. The findings are verified through full-wave simulation. Furthermore, a physical explanation as to why the general form of anisotropic material parameters are reflectionless for all angle of incidences is provided. This work provides an intuitive understanding of the inherent reflectionless property of transformation optics devices, and may find applications in designing reflectionless media to control electromagnetic waves without the use of coordinate transformations.