Periodic structures with higher symmetries and their applications in electromagnetic devices
Résumé
HIGHER SYMMETRIES frequently amaze human beings because of the illusions and incredible landscapes that they can produce. For example, imagine the unearthly pictures of the Dutch graphic artist Maurits Cornelis (M. C.) Escher. He made use of glide symmetry and reflection to produce unbelievable transitions and transformations of objects and beings, as illustrated in Fig. 1 (a). However, the history of higher symmetries started much earlier in time. M. C. Escher was partially inspired by the Moorish tessellations in the Alhambra in Granada, Spain, like the ones illustrated in Fig. 1 (b). Higher symmetries can be employed not only to create artistic creations, but also as tools for a better description of space (e.g., in connection with numerical problems in space tessellation and meshing [1] or for enhancing the performance of electromagnetic devices). Here, we explain the importance of the recently discovered electromagnetic properties of higher symmetries, as well as their implications and opportunities for microwave and antenna engineers.
Domaines
Electromagnétisme
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