Generalised Kramers-Kronig formula for spatially dispersive media

作者: D B Melrose , R J Stoneham

DOI: 10.1088/0305-4470/10/1/004

关键词: Special relativityKramers–Kronig relationsGeneralizationCausality (physics)Mathematical analysisVacuum polarizationDispersive mediumMathematicsTensorDispersion (optics)

摘要: For a spatially dispersive medium the requirements of causality and special relativity are used to develop generalized dispersion formula (a generalization Kramers-Kronig formula). An error is pointed out in earlier versions this formula. The vacuum polarization tensor shown satisfy explicitly.

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