The Design of Non-magnetic Invisibility Cloak

In recent ten years, transformation optics has been successful in not only theory but also experiment. People can control the optical path with the generalized coordinate transformation, and the designs of optical device become more easier and convenient. One of the important applications is what we will study in this paper –「invisibility cloak」. In this paper, we start from the invarient of Maxwell''s equations which was already proved by transformation optics, and know the formula about the parameters of materials. The manufacture of ideal cloak is not easy to realize because the parameters of materials has the property with inhomogeneous and anisotropic. Apart from this, the parameters diverge to infinity when close to the inner boundary. We study from the basic which is called wave equation of electromagnetic waves, and hope to solve the problem about singularity with appropriate magnetic simplification that won''t change the way of how electromagnetic wave propagate. There will pay for considerable scattering if we simplified the cloak, so how to design the transfomation fuction to match impedance for reducing scattering and lower the parameters will be the focus of this article. The another method for cloaking illusion will be carried out by transformation optics and complementary materials. However, the concept of the method implements through canceling out the phase of electromagnetic waves rather than controlling the propagation. The advantage relative to the foregoing is that illusion colud communicate with the wave, but do have the difficulty in cloaking at any direction. For solving this problem, we base on the original structure and reform it to be a illusion generator. So we can settle it down with illusion generator to project cloaking device and benefit from the non-necessity of materials in original position.