Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry: A Dielectric Contrast Perturbation Theory
The general theory of electromagnetic--fluctuation--induced interactions in dielectric bodies as formulated by Dzyaloshinskii, Lifshitz, and Pitaevskii is rewritten as a perturbation theory in terms of the spatial contrast in (imaginary) frequency dependent dielectric function. The formulation can b...
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1826261994349527040 |
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| author | Golestanian, R |
| author_facet | Golestanian, R |
| author_sort | Golestanian, R |
| collection | OXFORD |
| description | The general theory of electromagnetic--fluctuation--induced interactions in dielectric bodies as formulated by Dzyaloshinskii, Lifshitz, and Pitaevskii is rewritten as a perturbation theory in terms of the spatial contrast in (imaginary) frequency dependent dielectric function. The formulation can be used to calculate the Casimir-Lifshitz forces for dielectric objects of arbitrary geometry, as a perturbative expansion in the dielectric contrast, and could thus complement the existing theories that use perturbation in geometrical features. We find that expansion in dielectric contrast recasts the resulting Lifshitz energy into a sum of the different many-body contributions. The limit of validity and convergence properties of the perturbation theory is discussed using the example of parallel semi-infinite objects for which the exact result is known. |
| first_indexed | 2024-03-06T19:29:20Z |
| format | Journal article |
| id | oxford-uuid:1ce8e052-c92d-4656-8300-a08160f98c17 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:29:20Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:1ce8e052-c92d-4656-8300-a08160f98c172022-03-26T11:08:05ZCasimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry: A Dielectric Contrast Perturbation TheoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1ce8e052-c92d-4656-8300-a08160f98c17EnglishSymplectic Elements at Oxford2009Golestanian, RThe general theory of electromagnetic--fluctuation--induced interactions in dielectric bodies as formulated by Dzyaloshinskii, Lifshitz, and Pitaevskii is rewritten as a perturbation theory in terms of the spatial contrast in (imaginary) frequency dependent dielectric function. The formulation can be used to calculate the Casimir-Lifshitz forces for dielectric objects of arbitrary geometry, as a perturbative expansion in the dielectric contrast, and could thus complement the existing theories that use perturbation in geometrical features. We find that expansion in dielectric contrast recasts the resulting Lifshitz energy into a sum of the different many-body contributions. The limit of validity and convergence properties of the perturbation theory is discussed using the example of parallel semi-infinite objects for which the exact result is known. |
| spellingShingle | Golestanian, R Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry: A Dielectric Contrast Perturbation Theory |
| title | Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry:
A Dielectric Contrast Perturbation Theory |
| title_full | Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry:
A Dielectric Contrast Perturbation Theory |
| title_fullStr | Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry:
A Dielectric Contrast Perturbation Theory |
| title_full_unstemmed | Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry:
A Dielectric Contrast Perturbation Theory |
| title_short | Casimir-Lifshitz Interaction between Dielectrics of Arbitrary Geometry:
A Dielectric Contrast Perturbation Theory |
| title_sort | casimir lifshitz interaction between dielectrics of arbitrary geometry a dielectric contrast perturbation theory |
| work_keys_str_mv | AT golestanianr casimirlifshitzinteractionbetweendielectricsofarbitrarygeometryadielectriccontrastperturbationtheory |