| 1. |
- Engström, Christian, et al.
(författare)
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Homogenization of the Maxwell equations using Floquet-Bloch decomposition
- 2003
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Ingår i: Mathematical and numerical waves 2003. - Berlin, Heidelberg : Springer. - 9783642558566 - 354040127X ; , s. 412-416
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Konferensbidrag (refereegranskat)abstract
- Using Bloch waves to represent the full solution of the Maxwell equations inperiodic media, we study the limit process where the material's period becomes much smaller than the wavelenght. it is seen that effective material parameters can be extracted and explicity represented in terms of the non-vanishing Bloch waves, providing an alternative means of homogenization.
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| 2. |
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| 3. |
- 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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| 4. |
- Sjöberg, Daniel, et al.
(författare)
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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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| 5. |
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| 6. |
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| 7. |
- 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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