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On the computation of Casimir stresses in open media and Lifshitz theory

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article number405301
<mark>Journal publication date</mark>09/2013
<mark>Journal</mark>Journal of Physics A: Mathematical and Theoretical
Issue number40
Number of pages32
Publication StatusPublished
<mark>Original language</mark>English


A classification of the electromagnetic modes on open and closed spatial domains containing media with piecewise homogeneous permittivities is used to facilitate the derivation of quantum induced Casimir stresses in dielectrics. By directly exploiting the complex analytic properties of solutions of the macroscopic Maxwell equations for open systems it is shown how regular expressions for such stresses can be expressed in terms of double integrals involving either real or pure imaginary frequencies associated with harmonic modes in conformity with the Lifshitz theory for separated planar dielectric half-spaces. The derivation is self-contained without recourse to the Krein formula for a density of states or mode regularization and offers a more direct approach to other open systems.