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Journal of Experimental and Theoretical Physics

Relation Between the Real and Imaginary Part of the Polarizability of a Nonlinear Resonant Medium

Evsei I. Yakubovich

Published Jan 1, 1969• 0 citations
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A high-Q resonator and linear polarization of the output radiation are assumed. Calculations are made of the contributions of the real and imaginary parts of the nonlinear polarizability of an absorbing medium in the resonator to each of the parameters governing the output intensity (loss factor, saturation parameter) and detuning of the output frequency from the natural frequency of the resonator (coefficients describing effects of the mode pushing and pulling type). The results are reported of an experimental determination of the output power at the wavelength of an absorption line as a function of the intensity of the applied magnetic field and it is shown that these results agree well with the calculations.
The strong interatomic interaction effects on photoabsorption cross sections of a private atom have been interpreted by the contribution of both the real and imaginary parts of atomic polarizability in the present work. Some unresolved differences between the photoabsorption cross sections of isolated atoms and those of condensed atoms, especially near thresholds and resonances, probably could be interpreted by the competition between the imaginary and real parts of atomic frequency-dependent polarizabilities.
The response of a medium to radiation with a complex frequency corresponding to an exponential time decrease in the radiation amplitude has been analyzed. The effect of complex resonance has been demonstrated when the real and imaginary parts of the complex radiation frequency approach the real and imaginary parts of the complex frequency of damping natural oscillations of medium oscillators. In resonance itself, the absolute value of the refractive index is divergent and radiation is completely reflected from the medium boundary. It has been shown that scanning of not only the real part, but also the imaginary part of the probe radiation frequency expands the capabilities of spectroscopy and makes it possible to, e.g., distinguish resonances even with coinciding (real) frequencies and close (of the same order of magnitude) widths.