Transformation optics beyond the manipulation of light trajectories

Abstract

One contribution of 14 to a Theo Murphy meeting issue 'Spatial transformations: from fundamentals to applications' .

Spatial transformations: from fundamentals to applications

“…Sometimes, as suggested by Mittra & Zhou [15], the application requirements are such that the spatial transformation approach may not be optimal or even necessary to achieve the required performance. However, it is also clear, as demonstrated by Jiang et al, Ginis & Tassin and Kadic et al, that the spatial transformation paradigm enables the design of devices with functionalities that could not have been achieved previously [12,14,16].…”

“…The basic approach of spatial transformations has been described, together with numerous advanced techniques, such as complex coordinate transformations [14], and advanced applications, such as manipulation of optical forces [16]. One of the key advantages of spatial transformations is that it provides an elegant framework for solving inverse problems.…”

“…In the paper by Ginis & Tassin, three applications are discussed that go beyond the 'ordinary' application of transformation optics to control the trajectory of light [16]. First, they consider a deeply sub-wavelength cavity to confine light, where '.…”

“….' [16]. Second, the design of transformation media for the manipulation of Cherenkov radiation, emitted when a charged particle travels with a velocity greater than the speed of light in a given medium and potentially useful for particle physics, is explored.…”

Transformation Optics: From Classic Theory and Applications to its New Branches

“…In addition to the above aspects, TO has many other applications, such as calculating the optical force, designing gratings, designing spontaneous emissions, reverse ray tracings, designing perfect matched layers in numerical simulations, etc. In recent years, more and more new branches are emerging from TO, such as TO with graphene, TO with photonic crystals, TO with meta‐surfaces, TO with Fourier optics, TO for lossy media by complex coordinate transformations, etc.…”