Lucarini V., Saarinen J.J., Peiponen K.-E., Vartiainen E.M. Kramers-Kronig Relations in Optical Materials Research

Springer-Verlag, Berlin, Heidelberg, 2005. — 165 p. — (Optical Sciences. Vol. 110) — ISBN: 3540236732Such connection exists in both classical and quantum physical systems and derives directly from the principle of causality. Apart from being of great importance in high energy physics, statistical physics, and acoustics, at present the Kramers-Kronig relations are basic and widely-accepted tools for the investigation of the linear optical properties of materials, since they allow performing the so-called inversion of optical data, i.e. acquiring knowledge on dispersive phenomena by measurements of absorptive phenomena over the whole energy spectrum or vice versa.Electrodynamic Properties of a General Physical System
General Properties of the Linear Optical Response
Kramers-Kronig Relations and Sum Rules in Linear Optics
General Properties of the Nonlinear Optical Response
Kramers-Kronig Relations and Sum Rules in Nonlinear Optics
Kramers-Kronig Relations and Sum Rules for Harmonic-Generation Processes
Kramers-Kronig Relations and Sum Rules for Data Analysis: Examples
Modified Kramers-Kronig Relations in Nonlinear Optics
The Maximum Entropy Method: Theory and Applications in Nonlinear Optical Spectroscopy
Conclusions
Appendixes: MatLAB. Programs for Data Analysis
Program 1: Estimation of the Imaginary Part via Kramers-Kronig Relations
Program 2: Estimation of the Real via Kramers-Kronig Relations
Program 3: Self-Consistent Estimate of the Real and Imaginary Parts of Susceptibility
Program 4: Estimation of the Imaginary Part via Singly Subtractive Kramers-Kronig Relations Program 5: Estimation of the Real Part via Singly Subtractive Kramers-Kronig Relations