Transformation optics is a mathematical method that is based on the geometric interpretation of Maxwell’s equations. This technique enables a direct link between a desired electromagnetic (EM) phenomenon and the material response required for its occurrence, providing a powerful and intuitive design tool for the control of EM fields on all length scales. With the unprecedented design flexibility offered by transformation optics (TO), researchers have demonstrated a host of interesting devices, such as invisibility cloaks, field concentrators, and optical illusion devices. Recently, the applications of TO have been extended to the subwavelength scale to study surface plasmon-assisted phenomena, where a general strategy has been suggested to design and study analytically various plasmonic devices and investigate the associated phenomena, such as nonlocal effects, Casimir interactions, and compact dimensions. We review the basic concept of TO and its advances from macroscopic to the nanoscale regimes.
Transformation optics is a general design tool that is as intuitive as the ray optics, but exact at the level of Maxwell’s equations. It provides a direct link between a desired electromagnetic phenomenon and the material response required for its occurrence. In this talk, I will give an overview of some recent progress of transformation optics, with a special focus on its applications at the subwavelength. 1. I will show how to use this strategy to design a finite subwavelength particle that can harvest light over a broadband spectrum like an infinite plasmonic system; 2. I will discuss how the conformal transformation approach can help us understand some complex plasmonic phenomena, such as fast electron interaction with singular plasmonic particles, van der Waals interaction at extreme scales, compact dimensions in 2D singular plasmonic surfaces, etc.
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