Abstract
Electromagnetic fields have a natural representation as differential forms. Typically the measurement of a field involves an integral over a submanifold of the domain. Differential forms arise as the natural objects to integrate over submanifolds of each dimension. We will see that the (possibly anisotropic) material response to a field can be naturally associated with a Hodge star operator.
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Lionheart, W.R.B. (2004). Geometric Methods for Anisotopic Inverse Boundary Value Problems. In: Bingham, K., Kurylev, Y.V., Somersalo, E. (eds) New Analytic and Geometric Methods in Inverse Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08966-8_12
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DOI: https://doi.org/10.1007/978-3-662-08966-8_12
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