241. |
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242. |
- Sjöberg, Daniel, et al.
(författare)
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A Floquet-Bloch decomposition of Maxwell's equations, applied to homogenization
- 2005
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Ingår i: Multiscale Modeling & simulation. - : Society for Industrial and Applied Mathematics. - 1540-3459 .- 1540-3467. ; 4:1, s. 149-171
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Tidskriftsartikel (refereegranskat)abstract
- Using Bloch waves to represent the full solution of Maxwell's equations in periodic media, we study the limit where the material's period becomes much smaller than the wavelength. It is seen that for steady state fields, only a few of the Bloch waves contribute to the full solution. Effective material parameters can be explicitly represented in terms of dyadic products of the mean values of the nonvanishing Bloch waves, providing a new means of homogenization. The representation is valid for an arbitrary wave vector in the first Brillouin zone.
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243. |
- Sjöberg, Daniel, et al.
(författare)
-
A Floquet-Bloch decomposition of Maxwell's equations, applied to homogenization
- 2003
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- Using Bloch waves to represent the full solution of Maxwell’s equations in periodic media, we study the limit where the material’s period becomes much smaller than the wavelength. It is seen that for steady-state fields, only a few of the Bloch waves contribute to the full solution. Effective material parameters can be explicitly represented in terms of dyadic products of the mean values of the non-vanishing Bloch waves, providing a new means of homogenization. The representation is valid for an arbitrary wave vector in the first Brillouin zone.
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244. |
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245. |
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246. |
- Sjöberg, Daniel, et al.
(författare)
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Validity of homogenization using Bloch waves
- 2003
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Ingår i: ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications. ; , s. 455-458
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Konferensbidrag (refereegranskat)abstract
- When the microstructure of a medium has a much smaller length scale than the typical wavelength of the electromagnetic fields present, it is possible to compute effective material parameters. Using a Bloch wave expansion, we give an explicit representation of the effective material, and discuss the range of validity for the homogenization results.
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247. |
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248. |
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SNRV 75 år
- 2009
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Samlingsverk (redaktörskap) (populärvet., debatt m.m.)
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249. |
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250. |
- Sohl, Christian, et al.
(författare)
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A general approach for deriving bounds in electromagnetic theory
- 2008
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Ingår i: ; , s. 1-4
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Konferensbidrag (refereegranskat)abstract
- This paper reports on a systematic procedure for deriving physical bounds in electromagnetic theory. The approach is based on the holomorphic properties of certain Herglotz functions and their asymptotic expansions in the low- and high-frequency regimes. A family of integral identities or summation rules is obtained with values governed by the coefficients in the low- and high-frequency expansions. In particular, summation rules for plane-wave scattering by a homogenous and isotropic sphere is derived and verified numerically by computing the extinction cross section and the bistatic radar cross section in the forward direction. It is concluded that summation rules based on Herglotz functions show great potential for deriving new physical bounds in, e.g., scattering and antenna problems.
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