Nonlinear Optics Basics: Kramers-Krönig Relations in Nonlinear Optics
نویسنده
چکیده
منابع مشابه
Verification of generalized Kramers-Krönig relations and sum rules on experimental data of third harmonic generation susceptibility on polymers
We present the first analysis of harmonic generation data where the full potential of the generalized nonlinear Kramers-Krönig (KK) relations and sum rules is exploited. We consider two published sets of wide spectral range experimental data of third harmonic generation susceptibility on different polymers, the polysilane (frequency
متن کاملMultiply subtractive Kramers-Krönig relations for arbitrary-order harmonic generation susceptibilities
Kramers-Krönig (K-K) analysis of harmonic generation optical data is usually greatly limited by the technical inability to measure data over a wide spectral range. Data inversion for real and imaginary part of χ(nω;ω, ..., ω) can be more efficiently performed if the knowledge of one of the two parts of the susceptibility in a finite spectral range is supplemented with a single measurement of th...
متن کاملSynthesis of TiO2-ZnO-ZrO2 Nanocomposites for Nonlinear Optics Applications
A sol-gel technique under ultrasonic irradiation was applied to synthesize ZrO2/TiO2/ZnOnanocomposites. X-ray diffraction analysis confirmed the successful synthesis of nanocomposites. The strain and crystalline size values of ZrO2/TiO2/ZnO nanocomposites are estimated to be 9.98×10-4 and 17.66 nm, respectively. The linear absorption coefficient of ZrO2/TiO2/ZnO nanocomposites was measure...
متن کاملKramers-Kronig relations in nonlinear optics
We review dispersion relations, which relate the real part of the optical susceptibility (refraction) to the imaginary part (absorption). We derive and discuss these relations as applied to nonlinear optical systems. It is shown that in the nonlinear case, for self-action effects the correct form for such dispersion relations is nondegenerate, i.e. it is necessary to use multiple frequency argu...
متن کاملGeneralized Hamiltonian Formalism in Nonlinear Optics
The basic mathematical apparatus of nonlinear optics consists of an array of nonlinear PDEs for the complex amplitudes of an envelope of interacting wave trains. In the general case, these equations include linear and nonlinear dissipative terms. However, in many important cases, they are small and can be neglected: therefore the equations are conservative, and the medium is transparent. Accord...
متن کامل