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Optics and Spectroscopy

Cavity-enhanced optical anisotropy and all-optical spin noise spectrometer

Valerii S Zapasskii, Sergey G. Przhibel'skii

Published Jun 1, 2011• 9 citations
Publisher

Abstract

The frequency dependence of the Fabry-Perot cavity response to the weak modulation of the birefringence of an intracavity element is analyzed. It is shown that the polarization modulation of light at the exit of the cavity reveals resonant features at frequencies multiple of the intermode beat frequency of the cavity. The possibilities of applying this effect for the selective amplification of high-frequency oscillation of the medium anisotropy are considered. The prospects for creating spectrometers of HF birefringence with the cavity-enhanced amplification of the signal are discussed and a scheme of the all-optical spin noise spectrometer is proposed.

DOI
10.1134/s0030400x11690038

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The frequency dependence of the Fabry-Perot cavity response to the weak modulation of the birefringence of an intracavity element is analyzed. It is shown that the polarization modulation of light at the exit of the cavity reveals resonant features at frequencies multiple of the intermode beat frequency of the cavity. The possibilities of applying this effect for the selective amplification of high-frequency oscillation of the medium anisotropy are considered. The prospects for creating spectrometers of HF birefringence with the cavity-enhanced amplification of the signal are discussed and a scheme of the all-optical spin noise spectrometer is proposed.
We study the polarization of the electric field in Fabry-Perot resonators which contain at least two optically birefringent elements. One of them is a frequency-doubling crystal, the other being either a passive and/or an active crystal. Using the Jones matrix technique, we review the polarization properties of the linear Fabry-Perot cavity and extend these results to V-shaped cavities. For these configurations, we derive the rate of conversion of the fundamental frequencies into the second harmonic and the sum frequencies. These conversion rates are interpreted as intensity-dependent losses for the rate equations of the fundamental modes which are derived.
We analyze the effect of a highly dispersive element placed inside a modulated optical cavity on the frequency and amplitude of the modulation to determine the conditions for cavity self-stabilization and enhanced gyroscopic sensitivity. We find an enhancement in the sensitivity of a laser gyroscope to rotation for normal dispersion, while anomalous dispersion can be used to self-stabilize an optical cavity. Our results indicate that atomic media, even coherent superpositions in multilevel atoms, are of limited use for these applications, because the amplitude and phase filters work against one another, i.e., decreasing the modulation frequency increases its amplitude and vice-versa. On the other hand, for optical resonators the dispersion reversal associated with critical coupling enables the amplitude and phase filters to work together. We find that for over-coupled resonators, the absorption and normal dispersion on-resonance increase the contrast and frequency of the beat-note, respectively, resulting in a substantial enhancement of the gyroscopic response. Under-coupled resonators can be used to stabilize the frequency of a laser cavity, but result in a concomitant increase in amplitude fluctuations. As a more ideal solution we propose the use of a variety of coupled-resonator-induced transparency that is accompanied by anomalous dispersion.
We analyze the effect of a highly dispersive element placed inside a modulated optical cavity on the frequency and amplitude of the modulation to determine the conditions for cavity self-stabilization and enhanced gyroscopic sensitivity. We find an enhancement in the sensitivity of a laser gyroscope to rotation for normal dispersion, while anomalous dispersion can be used to self-stabilize an optical cavity. Our results indicate that atomic media, even coherent superpositions in multilevel atoms, are of limited use for these applications, because the amplitude and phase filters work against one another, i.e., decreasing the modulation frequency increases its amplitude and vice-versa. On the other hand, for optical resonators the dispersion reversal associated with critical coupling enables the amplitude and phase filters to work together. We find that for over-coupled resonators, the absorption and normal dispersion on-resonance increase the contrast and frequency of the beat-note, respectively, resulting in a substantial enhancement of the gyroscopic response. Under-coupled resonators can be used to stabilize the frequency of a laser cavity, but result in a concomitant increase in amplitude fluctuations. As a more ideal solution we propose the use of a variety of coupled-resonator-induced transparency that is accompanied by anomalous dispersion.
When studying the spin-noise-induced fluctuations of Kerr rotation in a quantum-well microcavity, we have found a dramatic increase of the noise signal (by more than two orders of magnitude) in the vicinity of anti-crossing of the polariton branches. The effect is explained by nonlinear optical instability of the microcavity giving rise to the light-power-controlled amplification of the polarization noise signal. In the framework of the developed model of built-in amplifier, we also interpret the nontrivial spectral and intensity-related properties of the observed noise signal below the region of anti-crossing of polariton branches. The discovered effect of optically controllable amplification of broadband polarization signals in microcavities in the regime of optical instability may be of interest for detecting weak oscillations of optical anisotropy in fundamental research and for other applications in optical information processing.
We propose and demonstrate cavity-enhanced polarization-rotation measurement as a means to detect magnetic effects in transparent media with greater sensitivity at equal optical disturbance to the medium. Using the Jones calculus, we compute the effective polarization rotation effect in a Fabry-Perot cavity containing a magnetic medium, including losses due to enclosure windows or other sources. The results show that when measuring polarization rotation, collecting the transmitted light has advantages in simplicity and linearity relative to collecting the reflected light. We demonstrate the technique by measuring Faraday rotation in a 87Rb atomic ensemble in the single-pass and cavity-enhanced geometries, and observe enhancement in good agreement with the theoretical predictions. We also demonstrate shot-noise-limited operation of the enhanced rotation scheme in the small-angle regime.
A theory of modulation of optical bistability of a main (signal) beam by an additional (control) beam is presented. It is supposed that the mirrors composing a Fabry-Perot cavity are highly reflective to the signal beam but transparent to the control beam. We show that the property of a medium in the cavity, and hence the transmission of the signal beam through the cavity, is modulated by the control beam which changes the dielectric susceptibility of the intracavity medium. Amplification of the signal beam occurs in the limit of a strong control beam. The process can be viewed as a parametric transfer of energy between the signal beam and the control beam with the nonlinear medium providing the nonlinear susceptibility that couples the beams. In addition, multibistability in the transmission characteristics of the signal beam is predicted and attributed to the saturation effect of the multiphoton processes.