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Soviet Journal of Quantum Electronics

Influence of spatial dispersion on reflected second harmonic

Nail Akhmediev

Published Sep 30, 1975• 0 citations
Publisher

Abstract

An analysis is made of the influence of spatial dispersion on the spectral distribution of a reflected second harmonic. It is shown that the spectrum of the harmonic may exhibit, near the exciton absorption line, an additional maximum at a frequency corresponding to the phase matching between the first (fundamental-frequency) and second harmonic waves. An analysis is made of the possibility of determination of the effective mass of an exciton from the spectral distribution of the intensity of a reflected harmonic.

DOI
10.1070/qe1975v005n09abeh011984

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An analysis is made of the influence of spatial dispersion on the spectral distribution of a reflected second harmonic. It is shown that the spectrum of the harmonic may exhibit, near the exciton absorption line, an additional maximum at a frequency corresponding to the phase matching between the first (fundamental-frequency) and second harmonic waves. An analysis is made of the possibility of determination of the effective mass of an exciton from the spectral distribution of the intensity of a reflected harmonic.
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A theoretical investigation is made of the influence of the asymmetry of the intensities of pump waves on the spectrum of weak radiation participating in a nondegenerate four-wave interaction in a resonant medium with a homogeneously broadened absorption line. It is shown that a difference between the intensities of pump waves results in additional modulation of the spectrum of reflected and transmitted waves. In particular, an increase in the asymmetry of the pump wave intensities increases the phase mismatch between the waves and reduces the central maximum in the weak radiation spectrum. When the difference between the intensities of the pump waves becomes sufficiently large, this central maximum of the reflected radiation disappears completely and the side maxima acquire a doublet structure. It is shown that the position of the maxima in the reflected radiation spectrum corresponds exactly to the minima of the phase matching between the waves. An analysis is made of the characteristics of a reflecting narrow-band optical filter based on a nondegenerate four-wave interaction in a resonant medium.
The generation of the combination frequency $2{\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}$ in CuCl by two incident waves, at frequencies ${\ensuremath{\omega}}_{1}$ and ${\ensuremath{\omega}}_{2}$, respectively, is measured as a function of ${\ensuremath{\omega}}_{1}$. When $2{\ensuremath{\omega}}_{1}$ equals the frequency of the first longitudinal-exciton resonance, a resonant dispersive behavior in the production of the intensity at $2{\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}$ is observed.
An analysis is made of the collective resonant generation of higher harmonics by a spatially extended system of two-level molecules possessing an intrinsic electron dipole moment in the excited state. Frequency and angular dependences of the scattered radiation are studied. It is shown that for moderately small numbers of harmonics their intensity depends comparatively weakly on the number (plateau) and the intensity of the emitted harmonics then falls sharply as the number increases. The angular distribution of the harmonics is strongly anisotropic. It is also shown that collective effects significantly change the time profile of the generated harmonic pulse. In addition, as a result of cooperative effects harmonics of a certain parity are suppressed in the low-frequency part of the radiation spectrum.