# Current-driven homogenization and effective medium parameters for finite samples

@article{Markel2013CurrentdrivenHA, title={Current-driven homogenization and effective medium parameters for finite samples}, author={Vadim A. Markel and Igor Tsukerman}, journal={Physical Review B}, year={2013}, volume={88}, pages={125131} }

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two effective parameters of the medium -- the index of refraction and the impedance -- are correctly determined. Theories that consider infinite periodic composites do not satisfy the above condition. As a result, they cannot model reflection and transmission by…

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## References

SHOWING 1-10 OF 43 REFERENCES

Photonic Crystals: Molding the Flow of Light

- Physics
- 1995

Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the…

Electrodynamics of continuous media

- Physics
- 1960

Electrostatics of conductors Static magnetic field Superconductivity The propagation of electromagnetic waves Spatial dispersion Diffraction of X rays in crystals.

Tech. Phys

- Tech. Phys
- 1957

Phys. Tech. Phys

- Phys. Tech. Phys
- 1959

Phys. Rev. B

- Phys. Rev. B
- 2011

Appl. Opt

- Appl. Opt
- 1981

Phys. Rev. B

- Phys. Rev. B
- 2013

SIAM J. Appl. Math

- SIAM J. Appl. Math
- 2003