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Journal of the Optical Society of America B

Transverse Fourier analysis of squeezed light in diode lasers

Carlos L. Garrido Alzar, Silvia Maria de Paula, M. Martinelli, R. J. Horowicz, Antonio Zelaquett Khoury, Geraldo A. Barbosa

Published Aug 1, 2001• 8 citations
Publisher

Abstract

The transverse properties of squeezed light are studied for a number-squeezed edge diode laser working in an external-cavity configuration. Light noise is analyzed as a function of the transverse wave vector transmitted by a single slit at the focal plane of a short focal lens. Noise measurements obtained by opening the slit centered at the kx=0 position show a minimum squeezing at the slit center that increases up to the full-beam noise-compression. Noise is also measured by displacing a single slit of fixed width at the focal plane. The results of this wave-vector dependence are compared with a theory in which the slit is treated as a beam splitter for the incoming Hermite–Gaussian laser beam. A summation of the noise contributions at each wave vector cannot give the obtained result with the slit being open, which indicates a possible noise correlation of light with distinct wave vectors.

DOI
10.1364/josab.18.001189

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The transverse properties of squeezed light are studied for a number-squeezed edge diode laser working in an external-cavity configuration. Light noise is analyzed as a function of the transverse wave vector transmitted by a single slit at the focal plane of a short focal lens. Noise measurements obtained by opening the slit centered at the kx=0 position show a minimum squeezing at the slit center that increases up to the full-beam noise-compression. Noise is also measured by displacing a single slit of fixed width at the focal plane. The results of this wave-vector dependence are compared with a theory in which the slit is treated as a beam splitter for the incoming Hermite–Gaussian laser beam. A summation of the noise contributions at each wave vector cannot give the obtained result with the slit being open, which indicates a possible noise correlation of light with distinct wave vectors.
We evaluate the squeezing of a probe beam with a transverse Gaussian profile interacting with an ensemble of two-level atoms in a cavity. We use the linear input-output formalism where the effect of atoms is described by susceptibility and noise functions. The transverse structure is accounted for by averaging atomic functions over the intensity profile. The results of the plane-wave and Gaussian-wave theories are compared. When large squeezing is predicted we find the prediction of the plane-wave model not to be reliable outside the Kerr domain. We give an estimate of the squeezing degradation due to the Gaussian transverse structure.
Summary form only given.Laser diodes with pump noise suppression are reliable sources for the generation of amplitude-squeezed light. Recently, it was shown that this amplitude squeezing is not always a single mode effect but can result from a cancellation among anticorrelated fluctuations between the main mode and competing side modes. To obtain more details on this correlation effect, we performed spectrally resolved intensity noise measurements with a pump noise suppressed SDL 5410-C (810 nm) diode laser in different configurations: free-running, injection-locked, and with an external Littrow grating feedback.
Semiconductor lasers are particularly well suited for the implementation of pump-noise suppression, yielding a reduction of the intensity noise in the laser. In this simple picture, the maximal amount of squeezing is equal to the quantum efficiency. However, experimental results on intensity noise reduction by pump-noise suppression are usually above this limit. This discrepancy suggests that additional noise sources must be involved. Here we successfuly interpret the full noise behavior of a single-mode laser diode far above threshold by considering two excess noise sources: the leakage current fluctuations across the laser and the Petermann excess noise. We have estimated the contribution of each noise source using the results of the correlations between the laser output intensity noise and the voltage fluctuations across the laser diode (light-voltage correlations) and obtained good agreement between our theory and experimental results.
The intensity fluctuations of laser light are derived from photon number rate equations. In the limit of short times, the photon statistics for small laser devices such as typical semiconductor laser diodes show thermal characteristics, even above threshold. In the limit of long-time averages represented by the low-frequency component of the noise, the same devices exhibit squeezing. It is shown that squeezing and thermal noise can coexist in the multimode output field of laser diodes. This result implies that the squeezed light generated by regularly pumped semiconductor laser diodes is qualitatively different from single-mode squeezed light. In particular, no entanglement between photons can be generated by use of this type of collective multimode squeezing.
This dissertation describes a series of measurements that confirmed the existence of amplitude squeezing in a commercially available type of laser diode and makes the critical observation that the primary requirement to obtain squeezing, in addition to sub-Poissonian pumping, is the suppression of longitudinal side modes. Side-mode suppression was achieved using optical feedback from a grating in an external cavity configuration or by injection locking to a single-wavelength master laser. The external cavity setup allowed as much as 1.8 dB of amplitude squeezing to be generated with the laser diode operating at room temperature, and provided a means for tuning the output wavelength over a range in excess of 20 nm. The injection locking approach achieved more than 3.0 dB of squeezing at cryogenic temperatures and made it possible to maintain squeezing in the presence of drive-current modulation signals, facilitating potential applications in precision measurement systems and communications. By identifying some of the noise mechanisms which prevent the observation of amplitude squeezing and establishing that squeezing is a much more robust phenomenon than previous work had indicated, this research has shown that there may be important practical uses for these sources as diode laser technology evolves.
Summary form only given.It has previously been shown that a traveling-wave optical parametric amplifier can generate multimode squeezed states of light. Homodyne detection of multimode squeezed light, under certain physical conditions, results in sub-Poissonian statistics of photons not only in time but also in the transverse plane of the light beam. Of particular relevance to applications is a situation when the cross section of the light beam contains several nonoverlapping areas with sub-Poissonian statistics of photons within each of them. Under photodetection of such a beam of light, several sub-shot-noise photocurrents can be produced according to the number of independent areas with sub-Poissonian statistics. This is in drastic contrast to the case of a single-mode sub-Poissonian light beam, where any attempt to collect light only from a part of the beam deteriorates the degree of shot-noise reduction. This property of multimode squeezed light opens a range of new interesting applications in optical imaging, optical parallel processing of information, parallel computing, and many other phenomena where it is desirable to have the regular statistics of photons across the transverse plane of the electromagnetic wave. We describe the application of multimode squeezed light in sub-shot-noise microscopy, noiseless amplifications of optical images, and optical imaging. We also consider the possibility of improving the resolution in optical imaging and microscopy beyond the Rayleigh limit via multimode squeezed light.