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This paper presents a new self-adjoint material sensitivity formulation for optimal designs and inverse problems in the high frequency domain. The proposed method is based on the continuum approach using the augmented Lagrangian method. Using the self-adjoint formulation, there is no need to solve the adjoint system additionally when the goal function is a function of the S-parameter. In addition, the algorithm is more general than most previous approaches because it is independent of specific analysis methods or gridding techniques, thereby enabling the use of commercial EM simulators and various custom solvers. For verification, the method was applied to the several numerical examples of dielectric material reconstruction problems in the high frequency domain, and the results were compared with those calculated using the conventional method.

The magnetization loss of the coated conductor with metal substrate is not the same with that of the coated conductor without metal substrate. Effects of the substrate on the AC loss have not been analyzed yet. In the paper, we estimated the magnetization loss in the YBCO coated conductor with metal substrate, which was exposed to the external magnetic field by using numerical calculation. The effects of magnetic property, electric property and thickness of the substrate on the AC loss of coated conductor were considered in this paper. According to the results of calculation, the existence of substrate decreased the AC loss in the coated conductor up to 39.2% at 5 mT but it increased the AC loss up to 3.7% at 100 mT.

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