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Modeling metamaterials - EPFL

Topics in Applied Physics Free Preview. A thorough treatment of the underlying mathematics of each optimization method, as well as detailed references that further expand on each method Numerous examples that describe how each method is implemented and used to optimize specific design problems Links to implementations of the optimization routines discussed throughout the book that are available online An appendix that lists step-by-step instructions on how to integrate optimization routines with current electromagnetic simulation software see more benefits.

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Abstract Numerical methods are developed to study various applications in electromagnetic wave propagation and scattering. Analytical methods are used where possible to enhance the efficiency, accuracy, and applicability of the numerical methods.

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Electromagnetic induction EMI sensing is a popular technique to detect and discriminate buried unexploded ordnance UXO. These currents induce a secondary field that is measured and used to determine characteristics of the UXO.

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  • It is shown that the EMI response is difficult to calculate in early time when the skin depth is small. A new numerical method is developed to obtain an accurate and fast solution of the early time EMI response. The method is combined with the finite element method to provide the entire time domain response. The results are compared with analytical solutions and experimental data, and excellent agreement is obtained.


    A fast Method of Moments is presented to calculate electromagnetic wave scattering from layered one dimensional rough surfaces. To facilitate the solution, the Forward Backward method with Spectral Acceleration is applied. As an example, a dielectric layer on a perfect electric conductor surface is studied.

    Rapid analysis of metamaterial structures using the discrete Maxwell;s equation method Abstract: We propose a discrete Maxwell equation DME method for the rapid analysis of multi-layered metamaterial structures. Different from the conventional numerical methods, which make discretizations within the problem space and use interpolating or iterative technique to obtain the corresponding electromagnetic fields, the DME method is strict in the discretization procedure without any numerical error.

    The average permittivity and permeability have been used in the DME method, where the spatial dispersion has been considered in details.

    Numerical methods for electromagnetic wave propagation and scattering in complex media

    We show that the DME method is particularly valid to the analysis of one-dimensional multi-layered metamaterial structures, where each layer is composed of resonant or nonresonant unit cells. The DME method can greatly reduce the CPU time cost in the multi-layered metamaterial structures, which will find great applications in the microwave and optical metamaterial designs.