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Physical Review A

Amplitude squeezing from spectral-hole burning: A semiclassical theory

Jacques Arnaud

Published Sep 1, 1993• 11 citations
Publisher

Abstract

Spectral-hole burning (SHB) profoundly affects the modulation and noise properties of laser oscillators and amplifiers at high optical power. The present semiclassical theory of SHB shows that the optical gain should be considered a function of the carrier number and photon rate (rather than photon number) plus a fluctuation at the shot-noise level (for full population inversion). Constant-voltage-driven laser diodes generate amplitude-squeezed light, a result not predicted by previous theories that treat gain compression in a formal way. Amplitude and phase noise of oscillators and amplifiers are considered.

DOI
10.1103/physreva.48.2235

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Spectral hole burning (SHB) effects in a gain-flattened erbium-doped fiber amplifier (EDFA) are demonstrated to be significant in the presence of large signal power around the 1530-1532-nm wavelength range. These are the first effects reported in a setup employing equivalent power level distribution of 40 channels ranging from 1530 to 1561 nm. To explain this, the introduction of a new local population variable into the laser equation is required to support the original inversion ratio that is determined by the pump lasers. In the analysis section, spectroscopic parameters and high signal powers are considered to be other contributing parameters to the change in the gain characteristics. An improvement to this theoretical basis is suggested by implementing mathematical modeling to validate similarities between the gain shape of simulation to that obtained in the experiment.

Chinese Optics Letters•Jan 1, 2011•1 citation
Spectral-hole burning (SHB) profoundly affects the modulation and noise properties of laser oscillators and amplifiers at high optical power. The present semiclassical theory of SHB shows that the optical gain should be considered a function of the carrier number and photon rate (rather than photon number) plus a fluctuation at the shot-noise level (for full population inversion). Constant-voltage-driven laser diodes generate amplitude-squeezed light, a result not predicted by previous theories that treat gain compression in a formal way. Amplitude and phase noise of oscillators and amplifiers are considered.
A semiclassical model of semiconductor laser noise, based on the Green's function method, is used to derive analytical formulas for the amplitude and frequency noise spectra taking into account incoming vacuum fluctuations and noise due to internal loss. This formalism also takes into account phenomena such as gain suppression as well as spatial hole burning (SHB). The amplitude noise squeezing is studied for Fabry-Perot structures pointing out the influence of the laser structural parameters. A complete agreement with already existing quantum mechanical models is found. However, extension of the model to SHB induces limitations in the squeezing performances, which are very important for more complex structures as will be pointed out in detail, in Part II.
It is generally believed that the amplitude fluctuations of a light beam initially in the coherent state cannot be squeezed below those of shot noise by the simple arrangement of a beamsplitter and a detector, the current from the detector being fed back to the light source or to a modulator. A simple semiclassical theory shows that arbitrary amounts of squeezing can in fact be obtained if a negative opticalconductance device such as a constant-voltage-driven (nonself-oscillating) laser diode is used in place of a conventional detector.
For pt.I see ibid., vol.33, no.11, p.2097-2104 (1997). We present noise studies of distributed feedback (DFB) laser structures, where spatial hole burning (SHB) plays a key role performed using the model described in part I of this paper with particular emphasis on the influence of SHB, on the coupling coefficient /spl kappa/L, and on the laser facet reflectivities. These structures exhibit high amplitude noise and the possible noise reduction is strongly reduced compared to Fabry-Perot structures. Distributed Bragg reflector (DBR) lasers are better candidates even if their performances are also strictly determined by SHB and the loss in the Bragg reflector. Finally, limitations due to gain suppression are demonstrated for such complex lasers structures. We conclude on the optimum laser structure for amplitude squeezed states generation.
A theory of spectral hole burning (SHB) by light pulses of an arbitrary shape and duration is proposed. One- and two-step (photon-gated) SHB processes induced by laser pulses in two-, three- and four-level systems are theoretically considered. It is shown that for two-step SHB there exists a possibility of obtaining spectral holes which are narrower than in the one-step SHB with monochromatic light. In case of one- and two-step SHB the dependence of the shape of the hole on the duration of the burning pulse is considered (on two-step SHB the second pulse is Δ-pulse).
Spectral hole burning (SHB) effects in a gain-flattened erbium-doped fiber amplifier (EDFA) are demonstrated to be significant in the presence of large signal power around the 1530-1532-nm wavelength range. These are the first effects reported in a setup employing equivalent power level distribution of 40 channels ranging from 1530 to 1561 nm. To explain this, the introduction of a new local population variable into the laser equation is required to support the original inversion ratio that is determined by the pump lasers. In the analysis section, spectroscopic parameters and high signal powers are considered to be other contributing parameters to the change in the gain characteristics. An improvement to this theoretical basis is suggested by implementing mathematical modeling to validate similarities between the gain shape of simulation to that obtained in the experiment.