Symmetry of Permittivity Matrix in Anisotropic Materials

Thread starter Blukstak
Start date Jun 6, 2007
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Matrix Permittivity

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In anisotropic materials, the permittivity matrix is often assumed to be symmetric, which is crucial for defining electromagnetic energy. The discussion highlights the challenge of demonstrating this symmetry, particularly through the use of the Poynting vector. Arguments supporting the symmetry of the permittivity matrix can be circular, complicating the understanding. The necessity of symmetry in epsilon is emphasized as it underpins the coherent definition of electromagnetic energy. Clarifying these concepts is essential for a deeper grasp of anisotropic materials in electromagnetic theory.

Jun 6, 2007

Blukstak

I can't seem to demonstrate that in anisotropic materials the permittivity matrix is symmetric, apparently this is done with the poyinting vector...

I really need to understand it thanks...

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Jun 7, 2007

Meir Achuz

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There are arguments for the symmetry of epsilon, but they tend to be circular.
This is because electromagnetic energy can ony be defined if epsilon is symmetric.

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