How can the finite element method be used to model periodic structures in electromagnetism?
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The finite element method can be used to model periodic structures in electromagnetism by implementing various techniques. One approach is to use the spectral finite element (SFE) method together with Bloch's theorem to analyze wave propagation in periodic frame structures . Another method is the time domain spectral element-based wave finite element method, which reduces computation time by reducing the total degrees of freedom and using a diagonal mass matrix . Additionally, the wave finite element method can be used for waveguides and periodic structures, but it may not easily handle complex or density loads. To address this, the dynamic equation of one period of the structure can be rewritten to obtain a relation between the responses on the left and right boundaries, allowing for the calculation of the structure's responses using the wave decomposition .
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| The provided paper does not discuss the use of the finite element method for modeling periodic structures in electromagnetism. |
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