Abstract
The instantaneous response models the rapid part of the interaction between
electromagnetic fields and materials. From a physical point of view the instantaneous
response is non-observable and from a mathematical point of view
it constitutes the principal part of the Maxwell equations. In this paper, it
is shown that the instantaneous response is not uniquely determined from a
given set of values of the constitutive map. The given values only give an
upper bound on the size of the instantaneous response. A numerical example
illustrates the non-uniqueness of the instantaneous response.
electromagnetic fields and materials. From a physical point of view the instantaneous
response is non-observable and from a mathematical point of view
it constitutes the principal part of the Maxwell equations. In this paper, it
is shown that the instantaneous response is not uniquely determined from a
given set of values of the constitutive map. The given values only give an
upper bound on the size of the instantaneous response. A numerical example
illustrates the non-uniqueness of the instantaneous response.
Original language | English |
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Publisher | [Publisher information missing] |
Number of pages | 20 |
Volume | TEAT-7087 |
Publication status | Published - 2000 |
Publication series
Name | Technical Report LUTEDX/(TEAT-7087)/1-20/(2000) |
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Volume | TEAT-7087 |
Bibliographical note
Published version: J. Phys. A: Math. Gen., Vol. 36, No. 6, pp. 1743-58, 2003.Subject classification (UKÄ)
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering