Exposing and extending the interior waves field by transformation materials

Abstract

Based on transformation optics, a strategy is proposed to expose the inner one-dimensional space of a wave field inside a beam volume to the surface of the propagation medium and extend the space from one-dimensional to two-dimensional, allowing the corresponding field distribution to be detected directly and more subtly, which is important in optical signal processing. The method is applied to the quadratic graded index lens to construct a new graded index lens, and its enhanced chirpyness detection ability is demonstrated by numerical simulation.

The geometric optical characteristics of Morse lens and its inside-out version

“…In the past decade, transformation optics (TO) has been proposed to design a series of novel devices, such as invisibility cloaks [11], illusion optics devices [12][13][14][15], field rotators [16,17], concentrators [18,19], and waveguide devices [20,21]. All the lenses we mentioned above have also been widely used to design absolute instruments by TO, which is a significant tool in controlling light rays and waves arbitrarily [22][23][24][25][26]. For example, the one dimensional profile of Mikaelian lens and Morse lens can be connected to that of Maxwell's fish-eye lens and generalized Eaton/Luneburg lens from an exponential conformal mapping [27][28][29][30] respectively.…”