Linear causal filters that violate the Kramers-Kronig relation

M. Beck; I. A. Walmsley; J. D. Kafka; J. D. Kafka

Quantum Electronics and Laser Science Conference
OSA Technical Digest (Optica Publishing Group, 1991),
paper QWD31

Linear causal filters that violate the Kramers-Kronig relation

M. Beck, I. A. Walmsley, and J. D. Kafka

Quantum Electronics and Laser Science Conference 1991

Baltimore, Maryland United States
12–17 May 1991
ISBN: 1-55752-191-3

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QELS Poster Session (QWD)

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M. Beck, I. A. Walmsley, and J. D. Kafka, "Linear causal filters that violate the Kramers-Kronig relation," in Quantum Electronics and Laser Science Conference, D. Auston, D. Chemla, T. McIlrath, and D. Steel, eds., Vol. 11 of OSA Technical Digest (Optica Publishing Group, 1991), paper QWD31.

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Abstract

The Kramers-Kronig relation is frequently used to infer the dispersion of a linear causal filter from a measurement of its absorption. A well-known example is that of an atomic or molecular transition when excitation is below the saturation intensity. The Kramers-Kronig relation, however, is not a general relation for this class of filters, and measurement of the dispersion and absorption of several filters reveals the need for care in its application.

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