Recursion relations for generalized Fresnel coefficients: Casimir force in a planar cavity

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.044104· OSTI ID:21408742

Tomas, Marin-Slobodan ^[1]

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1. Rudjer Boskovic Institute, Post Office Box 180, HR-10002 Zagreb (Croatia)

We emphasize and demonstrate that besides using the usual recursion relations involving successive layers, generalized Fresnel coefficients of a multilayer can equivalently be calculated using the recursion relations involving stacks of layers, as introduced some time ago [M. S. Tomas, Phys. Rev. A 51, 2545 (1995)]. Moreover, since the definition of the generalized Fresnel coefficients employed does not imply properties of the stacks, these nonstandard recursion relations can be used to calculate Fresnel coefficients not only for a local but also for a general multilayer consisting of various types (local, nonlocal, inhomogeneous, etc.) of layers. Their utility is illustrated by deriving a few simple algorithms for calculating the reflectivity of a Bragg mirror and extending the formula for the Casimir force in a planar cavity to arbitrary media.

• OSTI ID: 21408742
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CASIMIR EFFECT
FRESNEL COEFFICIENT
LAYERS
MATHEMATICAL LOGIC
MIRRORS
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
RECURSION RELATIONS
REFLECTIVITY
SURFACE PROPERTIES