Modal Approach to Casimir Forces in Periodic Structures

Details Modal Approach to Casimir Forces in Periodic Structures Modal Approach to Casimir Forces in Periodic Structures

2010-08-20

arxiv.org/abs/1008.3580v1

Phys. Rev. A 82, 062111 (2010)

Physics

Quantum Physics

13 pages, 7 figures

Scientific paper

10.1103/PhysRevA.82.062111

We present a modal approach to calculate finite temperature Casimir interactions between two periodically modulated surfaces. The scattering formula is used and the reflection matrices of the patterned surfaces are calculated decomposing the electromagnetic field into the natural modes of the structures. The Casimir force gradient from a deeply etched silicon grating is evaluated using the modal approach and compared to experiment for validation. The Casimir force from a two dimensional periodic structure is computed and deviations from the proximity force approximation examined.

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