In an optomechanical cavity the optical and mechanical degree of freedom are strongly coupled by the radiation pressure of the light. This field of research has been gathering a lot of momentum during the last couple of years, driven by the technological advances in microfabrication and the first observation of quantum phenomena. These results open new perspectives in a wide range of applications, including high sensitivity measurements of position, acceleration, force, mass, and for fundamental research. We are working on low frequency pondero-motive light squeezing as a tool for improving the sensitivity of audio frequency measuring devices such as magnetic resonance force microscopes and gravitational-wave detectors. It is well known that experiments aiming to produce and manipulate non-classical (squeezed) light by effect of optomechanical interaction need a mechanical oscillator with low optical and mechanical losses. These technological requirements permit to maximize the force per incoming photon exerted by the cavity field on the mechanical element and to improve the element’s response to the radiation pressure force and, at the same time, to decrease the influence of the thermal bath. In this contribution we describe a class of mechanical devices for which we measured a mechanical quality factor up to 1.2 × 106 and with which it was possible to build a Fabry-Perot cavity with optical finesse up to 9 × 104. From our estimations, these characteristics meet the requirements for the generation of radiation squeezing and quantum correlations in the ∼ 100kHz region. Moreover our devices are characterized by high reproducibility to allow inclusion in integrated systems. We show the results of the characterization realized with a Michelson interferometer down to 4.2K and measurements in optical cavities performed at cryogenic temperature with input optical powers up to a few mW. We also report on the dynamical stability and the thermal response of the system.
The interaction of the radiation pressure with micro-mechanical oscillators is earning a growing interest for its
wide-range applications (including high sensitivity measurements of force and position) and for fundamental
research (entanglement, ponderomotive squeezing, quantum non-demolition measurements). In this contribution
we describe the fabrication of a family of opto-mechanical devices specifically designed to ease the detection of
ponderomotive squeezing and of entanglement between macroscopic objects and light. These phenomena are not
easily observed, due to the overwhelming effects of classical noise sources of thermal origin with respect to the
weak quantum fluctuations of the radiation pressure. Therefore, a low thermal noise background is required,
together with a weak interaction between the micro-mirror and this background (i.e. high mechanical quality
factors). The device should also be capable to manage a relatively large amount of dissipated power at cryogenic
temperatures, as the use of a laser with power up to a ten of mW can be useful to enhance radiation pressure
effects. In the development of our opto-mechanical devices, we are exploring an approach focused on relatively
thick silicon oscillators with high reflectivity coating. The relatively high mass is compensated by the capability
to manage high power at low temperatures, owing to a favourable geometric factor (thicker connectors) and
the excellent thermal conductivity of silicon crystals at cryogenic temperature. We have measured at cryogenic
temperatures mechanical quality factors up to 105 in a micro-oscillator designed to reduce as much as possible
the strain in the coating layer and the consequent energy dissipation. This design improves an approach applied
in micro-mirror and micro-cantilevers, where the coated surface is reduced as much as possible to improve the
quality factor. The deposition of the highly reflective coating layer has been carefully integrated in the micromachining
process to preserve its low optical losses: an optical finesse of F = 6×104 has been measured in a
Fabry-Perot cavity with the micro-resonator used as end mirror.
We present a study of the time-scale at which current induced polarization switching (PS) in VCSELs takes place. To this end, we measure the step and frequency response in three different types of PS VCSELs, showing that the dominating time-scales differ strongly from one VCSEL structure to another. We characterize the current-driven polarization modulation frequency response by measuring the critical modulation amplitude necessary to steadily force PS back and forth across the PS point as a function of the modulation frequency. The polarization step response is obtained by measuring the stochastic properties of the delay between the applied current step and the resulting change in the polarization, for various values of the initial and final current. For the studied proton-implanted VCSEL the polarization response is characterized by the thermal relaxation time. The measured polarization response of the air-post VCSEL also shows a clear signature of thermal effects, however PS is not at all inhibited at higher frequencies. In the oxide-confined device studied, there seems to be no thermal influence on the PS at all. Comparing the frequency response and the step response measurements done on the same device leads to similar conclusions and allows us to crosscheck our results. In all cases, we are able to reproduce our experimental findings using a rate-equation model, where PS is supposed to be induced by changes in the gain balance between the two polarization modes.
Low Frequency Fluctuations (LFF) are defined by an abrupt (1 ns)
drop-out of the emitted power followed by a gradual (50 ns)
build-up of the power until the next drop-out event, when the
laser with feedback is biased close to threshold. In this paper
experimental and theoretical results on a vertical-cavity
surface-emitting laser (VCSEL) with polarized optical feedback are
presented. Experimentally, we observe single-mode low frequency
dynamics when the VCSEL is biased below the solitary laser
threshold. We can choose one of the two typical polarization modes
(PM) of the VCSEL to be lasing, by an adequate choice of the
polarization direction in the external cavity. Our theoretical
analysis is based on a model developed by Loiko et al. which is an
extension of the Spin-Flip model. We confirm the appearance of
single-mode LFF and also reproduce the response of the orthogonal
polarization mode above the solitary laser threshold, both
deterministically and in presence of noise. This analysis shows
that aiming the feedback at the passive mode (in absence of
feedback) forces the active mode to react with short pulses, due
to parasitic carrier theft, while targeting the feedback at the
active mode induces a smaller response from the orthogonal
polarization mode. This difference in response allows us to
conclude that the secondary polarization does not play an
essential role in the LFF dynamics.
We describe a lwo frequency noise laser system conceived for the readout of small mechanical vibrations. The system consists of a Nd:YAG source stabilized to a high Finesse Fabry-Perot cavity and achieves the best performance in the range 1-10 kHz, with a minimum residual noise of 4×10-3 Hz√Hz. We perform an extended characterization of the frequency stability by means of an independent optical cavity and we also measure the residual fluctuations after transmission through an optical fiber. Our apparatus is optimized for the use in an optical readout for the gravitational wave detector AURIGA, where a laser system with the characteristics here reported will allow an improvement of one order of magnitude in the detector sensibility.
Vertical-cavity surface-emitting lasers have shown similar sensitivity to optical feedback as conventional edge-emitting
lasers, but new interesting phenomena can be observed due to the coexistence of two linearly polarized (LP) fundamental modes. We report on new dynamic effects in VCSELs induced by polarization insensitive optical feedback from a distant mirror, namely the appearance of low frequency random hops between the two LP modes in a nominally stable LP solitary laser. This behavior resembles that of the mode hopping in a solitary VCSEL close to its polarization switching point. However, a careful observation shows that superimposed on the low frequency polarization mode-hopping, fast oscillatory behavior at a frequency close to the external-cavity frequency appears. A complementary study of the polarization
resolved optical spectra reveals jumps between several peaks identified as external cavity modes. We analyze the dynamics using a two-mode rate equation model with delay and noise. We numerically observe polarization mode-hopping in good qualitative agreement with our experimental findings. In particular, the low-frequency hops are complemented with fast oscillations at a frequency close to the external-cavity one and the calculated optical spectra reveal the presence of a limited number of ECMs in each LP-comb. This indicates that the dynamics is created by the interplay of noise, bistability
and optical feedback. We will further discuss the effect of noise on delayed bistable laser systems in the context of new dynamical concepts, like coherence resonance and stochastic resonance.
The spectral purity of laser radiation is a key point in the performance of coherent optical network. As 850nm VCSELs are being used in short distance interconnections, the evaluation of the frequency noise level is essential. Using a Fabry-Perot cavity as a frequency discriminator, the frequency noise spectrum is being investigated in the medium frequency and high frequency range (up to 1GHz). Frequency noise spectra show a 1/fn part in the medium frequency domain and a traditional white noise part in the high frequency domain. The aim of this paper is to present our measurements concerning 850nm-selectively-oxidized VCSELs and to investigate the different factors which have a quantitative influence on the frequency noise spectrum.
We present an experimental and rate-equation based theoretical study of the current-driven polarization modulation properties of VCSELs. In some VCSELs abrupt polarization switching (PS) between two polarization modes is observed at a particular value of the pump current. We investigate the dynamics and the associated dominating time scales of PS as these features are strongly linked with the underlying physical mechanism causing the PS. To this end we measure both for gain- and index-guided VCSELs the critical modulation amplitude necessary to steadily force PS back and forth across the PS point as a function of the modulation frequency. This yields the current-driven polarization modulation frequency response, which we compare with the thermal frequency response of the studied devices. The dynamic behavior turns out to be strikingly different for the different VCSEL types. Thermal effects only play a minor role in the PS in our index-guided VCSELs, while they really seem to lie at the origin of PS in the gain-guided VCSELs. By implementing this in a rate-equation based theoretical model of the current-driven polarization modulation properties of VCSELs we are able to explain the peculiarities of the measured response curves and to reproduce the experimental findings.
We present an experimental study of a Vertical-Cavity Surface-Emitting laser with polarized optical feedback. The system displays single-mode Low Frequency Fluctuations (LFF) for a wide range of pump current. Above the solitary laser threshold we observe a new kind of couple-mode dynamics with a leading LFF behavior in one polarization and an induced pulsed emission in the orthogonal one.
We present an experimental and rate-equation based theoretical study of the current-driven polarization modulation properties of VCSELs. In such lasers a high-contrast polarization flip is often observed at a particular value of the pump current. When modulating the current around the polarization switching value, we measure the critical modulation amplitude necessary to force synchronized back-and-forward polarization flips, as a function of the modulation frequency. This yields the polarization modulation frequency response. For a proton-implanted VCSEL the shape of the measured response curve is characterized by time constants that are very long compared with the usual time scales of laser dynamics (such as photon and carrier lifetimes), and compatible with the measured thermal relaxation time. Indeed, both the polarization modulation and the thermal frequency response curves show a cut-off frequency of about 90kHz, independent of the particular value of the switching current. In the frequency response curve of an air-post VCSEL one clearly sees remnants of the thermal influence on the switching. However, one cannot say that a thermal cut-off inhibits polarization switching above a certain modulation frequency. Notwithstanding the difference in impact of thermal effects depending on the type of device under study, our results indicate that it is necessary to incorporate a temperature-dependent variable in realistic models describing the dynamical polarization properties of VCSELs.
We present an accurate experimental characterization of the dynamical properties of polarization switching (PS) in single transverse and longitudinal mode vertical-cavity surface-emitting lasers (VCSELs). When a VCSEL is driven with a constant current at its polarization switching point, it makes random jumps between its two linear polarization states. This phenomenon is called mode-hopping. The permanence times in the two polarization states show an exponentially decreasing distribution, according to Arrhenius? law. The average permanence time varies over several orders of magnitude depending on the relative difference between threshold and switching current. We have performed a statistical experimental characterization of the residence times of mode hopping VCSELs for both proton implanted and oxide confined samples, and find our results to be in excellent agreement with the theoretical predictions from a novel intensity rate equation model.
The study of the lineshape of semiconductor lasers is very interesting, being related to phase and frequency noise sources which are usually hidden in other kinds of laser. The importance of this topic for Vertical Cavity Surface Emitting Lasers (VCSELs) is further increased by their large impact in communication applications, since frequency and phase noise limits the performances of different optical communication techniques.
We have performed such a study on an air-post AlAs/AlGaAs VCSEL. We have recorded the lineshape at different injection current levels by heterodyne with a narrow linewidth extended-cavity laser, while the frequency noise spectrum is investigated using a Fabry-Perot cavity as frequency discriminator.
In single-mode emission conditions, the lineshape is Lorentzian at low pump current, while a Gaussian contribution is evident for higher pump level. The Lorentzian linewidth is inversely proportional to the laser power and can be compared with the results of the Schawlow-Townes-Henry theory properly modified to consider the particular structure of VCSELs.
The study of the frequency noise shows that a quasi-Gaussian lineshape
is due to an excess low frequency noise. This contribution has a
1/f^n dependence, with n around 1, for frequencies higher than
20 kHz and is flat at lower frequencies. This peculiar power spectrum has been observed in the electric noise of AlGaAs Bragg reflectors. The current noise generated in the Bragg mirrors is the source of the frequency noise through the fluctuations of the cavity optical length.
The results are extended to other kinds of VCSELs.
KEYWORDS: Information operations, Vertical cavity surface emitting lasers, Binary data, Polarization, Interference (communication), Signal detection, Signal to noise ratio, Amplitude modulation, Modulation, Signal processing
VCSELs present peculiar features like the emission in several transverse modes and
polarization fluctuations. In some critical current regions, these lasers can emit
in two different states of polarization and/or transverse pattern for the same value
of the pump current. The laser dynamics in such narrow bistable regions is
characterized by noise-induced jumps between the two emission states. A
polarization and/or a spatial filter allows one to observe the random jumps as light
intensity hops. In this work, we evidence a novel phenomenon which is observed in
these conditions, that we have called Noise Assisted Binary Information Transmission
(NABIT): the addition of noise to the pump current up to an optimal value leads to a
strong improvement of the transmission quality, measured by the Bit Error Rate. These results
represent the first experimental evidence of Aperiodic Stochastic Resonance. We
present analytic calculations in good agreement with the measurements. We also
analyse the possible application to optical communications and compare it to a
standard amplitude modulation scheme.
We report the evidence a novel phenomenon which is observed in VCSELs working in a bistable region, that we have called Noise Assisted Binary Information Transmission: the addition of noise to the pump current up to an optimal value leads to a strong improvement of the transmission quality, measured by the Bit Error Rate. We analyze different indicators to define the output string and the comparison of the input with the output signal is eventually reduced to a comparison of binary strings and can treated by means of standard methods of information theory. These results represent the first experimental evidence of Aperiodic Stochastic Resonance. We analyze the possible application to optical communications and compare it to a standard amplitude modulation scheme.
The experimental evidence of Stochastic Resonance in the polarized emission of Vertical Cavity Surface Emitting Lasers is given. We report for the first time in an experimental work a complete characterization of the phenomenon based on the residence times probability density. We give also the evidence of the bona fide resonance, clarifying this recently debated subject.
Semiconductor diode lasers emitting in the visible and near-infrared region of the spectrum are valuable sources of coherent radiation in several fields of fundamental and applied research. In particular, the properties of spectral purity and frequency tunability are major issues for their use in spectroscopy or in coherent communication systems. The emission characteristics can be improved using optical feedback from external cavities. A reduction of the emission linewidth by several orders of magnitude was achieved for visible and near-infrared lasers. Although the frequency modulation capabilities are usually affected by the presence of the optical feedback, we found that under special resonant conditions it is possible to have simultaneously a narrow-linewidth laser with a high-frequency modulation capability. Modulation frequencies up to several GHz were achieved. Applications of these devices to spectroscopy are described.
We describe different atomic and molecular spectroscopy experiments we performed by means of smiconductor diode lasers. In particular, we discuss the questions of high spectral resolution, for accurate measurements of fine
spectral structures, and high sensitivity, which is important for low absorptions detection. The results we obtained
demonstrate that the specific characteristics of these laser sources make them ideal tools for spectroscopy.
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