Transformation Optics And Applications

Since Transformation Optics was proposed to design an invisible cloak in 2006, the theory of Transformation Optics has been developed rapidly. Various kinds of optical devices were designed using transformation optics by scientific researchers from all over the world, such as invisible cloaks, radomes, and optical illusion devices. Many transformation optics devices have been verified in the experiments. Meanwhile, after the previous controlling of electromagnetic fields, Transformation Optics has been extended to controlling different physical systems, such as thermodynamics, acoustics, electrostatics, and magnetostatics.We begin with the derivation of transformation optics theory. Firstly, we show the expression of the divergence and curl of a vector in an arbitrary coordinate system, and then we derive the relation of space geometry and material parameters in the transformation according to the in variance of Maxwell’s equations in the transformation of arbitrary coordinate systems. We also derive the formulas of conformal mapping and transformation thermodynamics.Using the Transformation Optics theory, we derive the theory about transmutation of two-dimensional planer media singularities. By using this theory, we eliminate the singularities of a conformal cloak designed by Zhukovsky mapping successfully.Next, we design several novel devices in different physical systems using Transformation Optics. The first is design of novel microwave devices. We have experimentally verified a microwave cloak with strict conformal mapping. In the experiment, dielectric powders of different dielectric constants and printed circuit boards with structures have been used to fulfill the requirement of the wide range index. Our cloak has several advantages such as broad bandwidth, and no lateral beam shift. We also design a radome to extend the scanning range of a phased arrary attenna by transformation optics and geometry optics respectively, and simulations have been performed to verify their performance.We also design a polarization rotator and mode convertor for surface plasmonic polaritons using Transformation Optics. Our devices will have potential applications in optical interconnect systems for their space-saving characteristics.We also design two novel thermal devices using Transformation Optics. One device is an efficient plate heater with uniform surface temperature. Different from the conventional heater using a resistor network, our designed plate heater can achieve a large surface of uniform temperature powered by a small thermal source. Experiments have been performed to verify its performance. The other device is a thermal lens, and it has a lot of novel functions, such as thermal focusing, remote refrigeration and remotely suppressing the thermal diffusion. Simulations have been performed to verify its performance.For the controlling of multiphysics systems, we provide the first experimental demonstration of a multiphysics artificial device that can make an object invisible both for electric current and heat flux.Finally we summary this thesis and give some prospects about future transformation optics devices.