7 September 2010 Combination of the sensitivity in EM field and the optimum nonlinear interpolation approximation as a favorable means of CAD of composite meta-materials
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Abstract
In the iterative CAD design of new materials by digital computers, it is necessary to obtain the differential coefficients, that is, component-sensitivities caused by the small deviation of inner-components in a given electromagnetic field expressed by the Maxwell relations. Further, to determine the step-size of the numerical iterative CAD design that uses the discrete sample values of the wave form at the sample points with the same interval of the step-size, it is required to estimate the error favorably between the original wave form and its numerical approximation. In this paper, firstly, we present conservation operators in micro-electromagnetic field and its macro-expression in the electromagnetic field. Secondly, we present some concrete conservation operators and make clear that the certain quantities, such as the stored energy of a small inner-component in the closed electromagnetic field, are closely correlated to the differential coefficients of the electric field and the magnetic field observed at the outer ports. Secondly, in a single-mode electromagnetic field, we obtain the relation between the stored energy, and the component-sensitivities caused by the small deviation of the inner-component. Thirdly, we present a brief survey of the progress in the development of meta material and show the usefulness of combining the above results with the optimum nonlinear approximation in the iterative design of linear or nonlinear meta material.
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Yuichi Kida, Yuichi Kida, Takuro Kida, Takuro Kida, } "Combination of the sensitivity in EM field and the optimum nonlinear interpolation approximation as a favorable means of CAD of composite meta-materials", Proc. SPIE 7799, Mathematics of Data/Image Coding, Compression, and Encryption with Applications XII, 779909 (7 September 2010); doi: 10.1117/12.860198; https://doi.org/10.1117/12.860198
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