| Summary: | 碩士 === 靜宜大學 === 財務與計算數學系 === 105 === Research on metamaterial invisibility cloak has been growing ever since electromagnetic cloaking was first realised for microwaves of one frequency and polarization in 2006.
The aim of this thesis is to contribute to the theoretical mathematical model of the basic theory of transformation optics-based electromagnetic cloaking, and the relevant theory of Maxwell equation is described in detail.
Background and theory of geometric optics derived from Principle of Least Action are introduced first. Formulas and Matlab code of Snell’s Law are thoroughly derived and detailed explanations are provided, so that the working knowledge of law of refraction can be acquired.
In order to give a detailed description of the propagation of electromagnetic wave, the Fourier’s optics is proposed. The derivation of speed of light and index of refraction are studied, so that the complicated distribution of refractive index in the cloaking made of matamaterials can be described thoroughly.
The theory of transformation optics offered by the vast possibilities of the constitutive parameters of metamaterial is celebrated by the introduction of coordinate transformation.
A proof of the form invariance of Maxwell’s equations with sources is presented in three kinds of method. The introduction to the basic theory is followed by works of our computation of material parameters and numerical simulation. Design procedure is then demonstrated by creating electromagnetic cloaking with single frequency. Simulated examples are given to illustrate the conclusion.
|
|---|
