On The Application Of Transformation Media In Electromagnetics

The wish of controlling electromagnetic fields brings forward the thought of coordinate transformation. To utilize electromagnetics, we must control electromagnetic fields by proper media. All the constitutive relationship in the world can be written as follows,In which (?),(?),(?) and (?) are call the constitutive relationship of the media. If wecould control the constitutive relationship, we can control media, and then we can control electromagnetic 'fields. The progress in the research of metamaterials brings more freedom to control electromagnetic fields. Coordinate transformation was brought forward as an innovated method to calculate the constitutive relationship of cloaking.Coordinate transformation takes the space of media as the transformed space, then conclude the constitutive relationship of the media from the transformation between spaces. Thanks to coordinate transformation, scientists successful designed and implemented the simplified cloaking. Besides in the research of cloaking, coordinate transformation was soon found powerful and simple in almost all other fields of electromagnetics. And lots of achievements were made then.In my thesis, I mainly focus on the application of coordinate transformation. With coordinate transformation, I designed beam shifter and beam splitter and then conducted numerical experiment with the help of software COMSOL. Then I studied the application of the newly designed devices and found that it can make the beam steer clear of the irremovable obstacle, also it can mislead the electromagnetic detector to report the wrong location of the target.Finally, I conducted theoretic research and perform numerical simulation on the waveguide bend using transformation media. As this kind of waveguide bends has the same properties as straight waveguides, they have some good performance, such as very low insertion loss, etc.