Generalized Kramers–Kronig relations and sum rules for moments and powers of degenerate four wave mixing susceptibility

نویسندگان

چکیده

Abstract Generalized Kramers–Kronig (K–K) type dispersion relations and sum rules are derived in the static limit for moments of degenerate four wave mixing susceptibility. The nonlinear susceptibility is different from a typical use conventional K–K relations, which assume absence complex poles function upper half frequency plane, whereas has simultaneous both planes. In derivation generalized their order taken into account by utilization theorem residues. can be used to estimate real imaginary parts second higher powers as effect reduced due faster convergence relations. present theory directly applicable susceptibilities testing theoretical models describing optical terahertz spectroscopy.

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ژورنال

عنوان ژورنال: Optical Review

سال: 2021

ISSN: ['1349-9432', '1340-6000']

DOI: https://doi.org/10.1007/s10043-021-00699-9