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Annual Meeting Optical Society of America

Evidence of excess noise from a Raman generator in a multipass cell

P. R. Battle, J. G. Wessel, John L. Carlsten

Published Jan 1, 1992• 0 citations
Publisher

Abstract

Previous investigations of Raman amplification in a multipass cell showed that a plane-wave transient theory matched the experimental data. In this work the output energy of a Raman amplifier was measured when no input was present. To model the output we initially used a fully quantum mechanical plane wave theory, which was scaled to take into account both the focusing and the multiple passes with the noise source being the usual one photon per mode. While the theory adequately describes the exponential growth for large gain, for gz < 10 there is a substantial deviation between the theory and experiment. To account for this excess noise the Stokes output is modeled by using a set of non-power-orthogonal modes. These modes arise naturally from the non-Hermitian nature of the gain guided process. It is the inherent non-power-orthogonality of these modes that can lead to excess noise, as noted first by Petermann. We find that the output from this model matches qualitatively the observed experimental output.

DOI
10.1364/oam.1992.thn2

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Previous investigations of Raman amplification in a multipass cell showed that a plane-wave transient theory matched the experimental data. In this work the output energy of a Raman amplifier was measured when no input was present. To model the output we initially used a fully quantum mechanical plane wave theory, which was scaled to take into account both the focusing and the multiple passes with the noise source being the usual one photon per mode. While the theory adequately describes the exponential growth for large gain, for gz < 10 there is a substantial deviation between the theory and experiment. To account for this excess noise the Stokes output is modeled by using a set of non-power-orthogonal modes. These modes arise naturally from the non-Hermitian nature of the gain guided process. It is the inherent non-power-orthogonality of these modes that can lead to excess noise, as noted first by Petermann. We find that the output from this model matches qualitatively the observed experimental output.
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The gain-guided nature of an amplifier can lead to more noise in the output than would be predicted based on the quantum noise limit of 1 photon per mode. We report the results of an experiment which demonstrate that the gain-guided nature of a focused-gain Raman amplifier can lead to excess noise in the amplified field. The results are compared with a theoretical analysis of the output of an amplifier which incorporates the effects of gain guiding as well as the focused nature of the gain profile.
Previous investigations of stimulated Raman scattering in a multipass cell have considered the amplification of a Stokes input pulse. They found that a simple plane-wave transient theory, appropriately scaled to include the multiple passes and focusing, matched experimental data well. In this paper, we investigate growth from spontaneous emission in a H2{\mathrm{H}}_{2}H2​ Raman multipass cell. We find that a fully-quantum-mechanical scaled plane-wave theory describes the growth from spontaneous emission well in the high-gain limit. However, in the low-gain regime there is a significant increase in the Stokes output which is not predicted by the scaled plane-wave theory.
Gain-guiding in an optical amplifier can have a significant effect on the quantum noise properties of the amplified signal. It has been demonstrated, both theoretically and experimentally, that gain-guiding in a steady state Raman amplifier can lead to excess noise in the output signal. Experiments using a Raman amplifier operating in the extreme transient regime also indicate that gain-guiding can have a significant effect on the output Stokes field. In this paper, a theoretical description of transient stimulated Raman scattering in a focused gain geometry is developed. The theory accounts for diffraction, gain-guiding, and quantum initiation.
The non-Hermitian character of a gain-guided amplifier leads naturally to a description of the amplified field in terms of a nonorthogonal mode basis. We present a theoretical analysis, based on a nonorthogonal mode expansion, for the output of an amplifier with focused gain. The theory predicts that the gain-guided nature of the amplification process can lead to excess noise in the output of the amplifier. We then report the results of two experiments in which the output from a focused-gain Raman amplifier was measured. The experimental results are found to be in reasonable agreement with the nonorthogonal mode theory.
A second-quantized theory of the radiation field is used to study the origin of the excess noise observed in gain-guided amplifiers. We find that the reduction of the signal-to-noise ratio is a function of the length of the amplifier, and thus the enhancement of the noise is a propagation effect arising from longitudinally inhomogeneous gain of the noise rather than from an excess of local spontaneous emission. We confirm this conclusion by showing that the microscopic rate of spontaneous emission into a given non-power-orthogonal cavity mode is not enhanced by the Petermann factor. In addition, we illustrate the difficulties associated with photon statistics for this and other open systems by showing that no acceptable family of photon-number operators corresponds to a set of non-power-orthogonal cavity modes.