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Journal of Applied Spectroscopy

Interaction of three polarized waves in a resonant medium in the presence of a longitudinal magnetic field

V. G. Dubovets

Published Apr 1, 1981• 1 citation
Publisher
DOI
10.1007/bf00614233

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American Journal of Physics•Feb 12, 2010•23 citations
The elimination of the absorption of a weak electromagnetic wave in a three-level atomic system in the presence of a strong resonant electromagnetic wave is well known in optics. This effect is termed electromagnetically induced transparency. We have theoretically investigated this effect in a crystal of molecular magnets. The crystal is subject to two (weak and strong) resonant magnetic fields. We discuss the choice of polarization of the magnetic fields. The influence of the distribution of the longitudinal anisotropy constant and the Land\'e factor on the manifestation of electromagnetically induced transparency has been studied. The amplitude of the strong field required for observation of the effect has been estimated.
The representation of irreducible tensor operators is used to develop a theory of wavefront reversal (WFR) in the absence of saturation effects. This theory deals with arbitrarily polarized waves in a two-level resonant medium having arbitrary angular momenta. It is shown that there are three different physical reversal mechanisms associated with a nonuniform population and with the coherence of the magnetic sublevels in the field. An investigation is made of the influence of the decay times of the polarization moments of the system (the total population, orientation, alignment) on WFR. In particular, it is shown that, subject to specific relationships between the decay times, new collision-induced reversal processes can occur in the presence of deorienting collisions. An investigation is made of the spectral composition of the reflection coefficient of the reversed wave and it is shown that there are various spectral ranges of efficient reversal which in general depend on the polarizations of the interacting waves.
Three calculations of optical Faraday rotation are presented in which a linearly polarized field is incident on a medium of harmonic oscillators in the presence of a longitudinal magnetic field. The rotation of the plane of polarization of the field is evaluated using classical oscillators and the Lorentz force equation, quantum oscillators and the Heisenberg equations of motion, and quantum oscillators and a Schrödinger equation approach. It is shown that a simple argument, based on the assumption that a circularly polarized field drives either Δm=1 or Δm=−1 transitions on absorption (m is the magnetic quantum number), leads to an incorrect result for the Verdet constant.