弱光反馈对半导体激光器AM和FM噪声谱的影响

一、引言 相干光通信系统具有灵敏度高,选择性好及可采用波分复用等优点。为了实现相干光通信系统,一个首要的问题便是抑制作为发射机振荡器与接收机本地振荡器的LD的噪声。光反馈是抑制LD噪声的有效手段,近年来人们对此进行了大量研究。然而,这些研究一般都局限于LD的线宽。由于LD的场功率谱通常不是洛伦兹型的,因此,必须研究LD的FM和AM噪声功率谱才有实际意义。     

FM noise reduction and subkilohertz linewidth of an AlGaAs laser bynegative electrical feedback

Negative electrical feedback was applied to a CSP-type AlGaAs laser, reducing its FM noise at the Fourier frequency range of f⩽40 MHz. The magnitude of the FM noise was far lower than the quantum noise level of the free-running laser at 100 Hz⩽f ⩽4.4 MHz. It was as low as 1×10^-7~1×10 ^-6 that of the free-running laser at 100 Hz⩽f⩽1 kHz. The full width at half maximum of the field spectrum was reduced to 560 Hz. The major factors necessary for realizing the very low FM noise level were: (1) the laser had almost constant FM response characteristics for a wide Fourier frequency range; (2) a high-finesse Fabry-Perot interferometer was employed for highly-sensitive FM noise detection and to get higher feedback gain; (3) the reflection mode of the Fabry-Perot interferometer was employed to increase the bandwidth and efficiency of the FM noise detection; and (4) a computer simulation was utilized for optimum design of the feedback loop     

FM noise of index-guided GaAlAs diode lasers

The FM-noise spectrum of index-guided GaAlAs-diode lasers is measured for different lengths of the laser cavity. The observed FM-noise peak near the internal laser resonance and the decrease of the FM noise with increasing cavity length is in agreement with a model which is considering the spontaneous emission noise source. From the measured noise data, the linewidth enhancement factor is determined.     

Miniature Nd:YAG lasers: noise and modulation characteristics

The frequency and intensity noise spectra, as well as the frequency modulation (FM) response, of 1320-nm laser-diode-pumped miniature Nd:YAG ring lasers have been measured. The frequency noise spectrum has a resonance peak at the relaxation oscillation frequency of the laser (between 123 and 150 kHz) and is flat beyond 200 kHz with a spectral density of 613 rad²-Hz, much smaller than that of semiconductor lasers; the corresponding laser linewidth is less than 49 Hz. The relative intensity noise is -140 dB/Hz at the valley and has a resonance peak at the relaxation oscillation frequency of the laser. The FM response is flat from DC to 110 kHz and is in the 0.65-3 MHz/V range; the modulation frequency is limited by the relaxation oscillation frequency of the laser     

Pulse stabilisation in harmonically FM modelocked erbium fibre ring laser with DFBLD

A new pulse stabilisation scheme for a harmonically frequency modulated (FM) modelocked erbium fibre ring laser using a distributed feedback laser diode (DFBLD) is presented. More than 65 dB supermode noise suppression in the RF spectrum was obtained with the proposed method. Effective reduction of supermode noise can be accomplished as the DFBLD in the fibre laser acts not only as a fast-gain saturated medium but also as an optical bandpass filter for suppressing supermode noise in a harmonically modelocked laser system.     

AM and FM quantum noise in semiconductor lasers--Part I: Theoretical analysis

AM and FM quantum noise properties of semiconductor lasers have been studied theoretically. Theoretical formulations for the AM noise spectrum, photon number probability density, FM noise spectrum, instantaneous frequency probability density, and power spectrum are presented here as functions of semiconductor laser material, structural, and pumping parameters. Two theoretical approaches are employed: one is based on the quantum mechanical Langevin equation, and the other on the density matrix equation. Starting from the quantum mechanical Langevin equation, three different formulations, that is, the rate equation, Fokker-Planck equation, and van der Pol equation, are derived. The parameters which represent stimulated emission, spontaneous emission, and refractive-index dispersion are obtained by using the Kane function interpolated to Halperin-Lax bandtail and the Stern's improved matrix element. The above four different theoretical formulations are related to each other, and the applicability for each method is discussed.     

Volterra functional series expansions for noise in semiconductorlasers

In this paper, we present a full analysis of noise in semiconductor lasers. Time-covariance and cross-covariance functions of all variables governing single-mode semiconductor laser behavior are given including all Langevin noise sources and considering all terms of the laser rate equations, RIN, carrier noise spectrum, frequency noise spectrum, coherence between the FM and AM noise, variance of the phase change and coupling between amplitude and phase are investigated analytically in their more general form. Spectral line shape has been derived showing dissymmetrical satellite lines centered at multiple integers of relaxation frequency around a central line. It is shown that neglecting the shot noise and considering only the carrier contribution in phase dynamics (common procedure) are too general approximations     

Oscillation frequency, linewidth reduction and frequency modulation characteristics for a diode laser with external grating feedback

Simple analytical expressions are given for the oscillation frequency, linewidth, FM noise spectrum and frequency modulation characteristics of a diode laser with external grating feedback. The analytical expressions are found to be in good agreement with experimental results and to be useful for quantitative predictions and optimisations of the external feedback controlled diode laser performance.     

The Measurement of Noise in Microwave Transmitters

A tutorial review of the basis for transmitter noise measurements shows that noise is best described and measured as AM and FM noise. The determination of RF spectrum is done by calculation after the AM and FM noise are known. The contribution of AM noise to RF spectrum shape is determined by the power spectral density shape of the AM noise. The contribution of FM noise to RF spectrum is to make the shape that of an RLC circuit resonant response rather than a delta function with a sideband structure. The measurement of AM noise is done with a direct detector diode. The measurement of FM noise for frequencies above 5 GHz is done with a discriminator based on a one-port cavity resonator. The measurement of FM noise below 5 GHz is done with an improved transmission line discriminator which is described in detail. Measurement of low-power low-noise signal sources is made posbible with an injection-locked oscillator for a preamplifier to the discriminator. The most widely used baseband analyzer is the constant bandwidth superhetdrodyne wave or spectrum analyzer. Most differences in measurement results are resolved by understanding the baseband analyzers. At least the baseband spectrum analysis of transmitter noise measurements can be automated with worthwhile savings in time and improvement of documentation.     

Simultaneous measurement of the linewidth, linewidth enhancementfactor α, and FM and AM response of a semiconductor laser

Using a commercially available computer controlled spectrum analyser with tracking generator, optical input section, and optical delay line it is possible to measure the linewidth, linewidth enhancement factor α, and FM and AM response of a semiconductor laser in one process. The determination of the linewidth yields also information about the frequency noise density and the determination of a delivers information about the nonlinear gain. Assuming an optical input power of 0 dBm, a laser linewidth <50 MHz and a modulation response of the laser without cut-off, AM indices m>0.01% and FM deviations of about >10 MHz up to 20 GHz can be detected     

FM noise and linewidth reduction in semiconductor laser weakly coupled to a single-mode fibre resonator

Optical feedback effects on spectral properties of an AlGaAs semiconductor laser weakly coupled to a single-mode fibre resonator with a Fabry-Perot transmission bandwidth of 15 MHz are reported. FM noise spectrum, linewidth and resonator output measurements are found to be in good agreement with theory.     

AM noise enhancement in a semiconductor laser with electricalfeedback

A model of a self-heterodyne-type electrical feedback semiconductor laser is presented. The effects of electrical feedback on the AM noise of a semiconductor laser are discussed on the basis of the model. It is shown that the FM noise can be greatly reduced by electrical feedback. However, this reduction is always accompanied by AM noise enhancement. The AM noise can also be reduced by this scheme under some conditions with the enhancement of the FM noise. This means that AM noise reduction and FM noise reduction can be interchanged by using this method. The influence of feedback parameters on the noise is discussed     

Optically coherent direct modulated FM analog link with phase noisecanceling circuit

This paper demonstrates a new phase noise canceling (PNC) circuit for use with an optically coherent analog frequency modulation (FM) link employing directly modulated distributed feedback (DFB) lasers. Direct frequency modulation of a semiconductor laser is a highly efficient optical-to-electrical conversion process, which can lead to very low noise figure (NF) and high dynamic range (DR). However, the large laser phase noise found in semiconductor lasers significantly degrades the FM link performance. The PNC circuit is a simple means for canceling the laser phase noise while extracting the modulated signal and taking advantage of the high FM conversion efficiency of semiconductor lasers. The theoretical performance of the PNC PM link is discussed in terms of the signal-to-noise ratio (SNR), NF, and DR, and is compared to a Mach-Zehnder modulated link which uses high-power, solid-state lasers. Phase noise cancellation is demonstrated in an experimental PNC FM link. Comparison of a PNC FM link to an externally modulated AM (coherent) link shows a 31 dB improvement in the NF of the FM link, and a 10 dB improvement in DR. However at higher received optical powers phase-to-intensity noise limits the performance of both links to well below the theoretical calculations     

Theory of FM noise of single-mode injection lasers

The FM noise of single-mode injection lasers is studied in terms of the root-mean-square frequency deviation ?frms against the angular modulation frequency ?m off-carrier. Spontaneous emission causes phase fluctuations of the laser wave. Enhanced FM noise may occur due to radiation-induced fluctuations of the carrier density. The influence of the coupling between laser field and active region on this modulation noise is investigated.     

Origin of residual semiconductor-laser linewidth in high-powerlimit

The FM noise spectrum and the spectral width of semiconductor lasers are measured in the high-power state up to 20 mW. The FM noise spectrum consists of the white noise and the 1/f noise. The spectral density of the white noise is suppressed by the increase in the output power, whereas that of the 1/f noise is kept constant. This fact means that the residual linewidth in the high-power limit is caused by the 1/f noise rather than the white noise     

Rigorous assessment of small-signal analysis for linear anddispersive optical communication systems operating near zero-dispersionwavelength

This paper presents a rigorous small-signal theory for linear single-mode fibers taking into account the first- and second-order fiber dispersion. From this theory, exact small signal intensity modulation (IM) and frequency modulation (FM) fiber transfer functions are presented. Exact expressions of the intensity and frequency noise spectra at fiber output due to laser noise taking into account all Langevin noise terms are also derived. Accurate numerical simulations of the IM and FM fiber transfer functions, and intensity and frequency noise spectra after linear transmission along single-mode fiber are compared with theoretical predictions and very good agreement is achieved. In addition, the theoretical predictions are compared with other author's results and the discrepancies are thoroughly explained. A new expression for the transmission distance which can lead to further significant reduction of intensity noise spectrum in systems using single-mode lasers with reduced linewidth enhancement factor is presented. The theoretical and simulation results show that the magnitude of the small-signal IM and FM fiber transfer functions, and the intensity and frequency noise spectra after linear single-mode fiber transmission are not affected by second-order fiber dispersion. The theory indicates that second-order fiber dispersion solely introduces delay distortion in the IM and PM fiber transfer functions. So, with linear transmission second-order dispersion effects on the intensity and frequency noise have proved to be irrelevant even for very long broad-band fiber systems     

Small-signal analysis for the time-averaged AM and FM noise powerspectra of a directly modulated semiconductor laser

The analytical expressions for the time-averaged AM and FM noise power spectra of a directly modulated semiconductor laser are presented by small-signal analysis. The FM and the AM noise spectra for such a laser depend both on the modulation intensity and on the modulation frequency     

Effect of nonuniform laser FM response on the performance ofmultichannel heterodyne FSK systems using optical amplifiers

A theoretical analysis is provided to evaluate the performance of optical frequency division multiplexed systems taking into considerations the combined effect of receiver noise, laser phase noise and nonuniform FM response characteristic of a practical DFB laser. To overcome the effect of nonuniform frequency modulation characteristic of semiconductor lasers, two different linecoding schemes are used for the laser driving signal. The crosstalk penalty due to the combined effect of nonuniform FM response and phase noise of lasers is evaluated. The improvement in receiver sensitivity due to optical preamplifier is also estimated. The computed results show that the performance of the system is highly degraded due to the effect of laser nonuniform fm response and can be reduced substantially by using linecoding. Further, there is considerable improvement in receiver sensitivity due to the use of an optical preamplifier in the absence of phase noise. In the presence of phase noise there is a reduction in receiver sensitivity     

噪声干扰中调频干扰的时序建模

噪声调频干扰属于压制式干扰,由于它容易达到宽的干扰带宽,已经成了目前噪声干扰的主要形式。通过时域自相关法对噪声调频干扰进行频谱分析,简要说明其干扰特性和中放输出的干扰特性,最后建立噪声调频干扰信号及其通过中放后的时间序列模型。     

Performance of linecoded optical heterodyne FSK systems withnonuniform laser FM response

A simple theoretical analysis for evaluating the performance of linecoded optical frequency shift keying (FSK) systems is presented. It accounts for the combined effects of laser phase noise, receiver noise, and nonuniform BM response of distributed feedback lasers. A close form expression for the random frequency noise due to the combined effect of laser nonuniform FM response and phase noise is developed. The analysis is carried out for three different linecoding schemes, i.e., alternate mark inversion, Miller code or delay modulation, and Manchester coding, to investigate the efficacy of the line coding schemes in counteracting the effect of nonflat FM response. Theoretical and simulation results show that the sensitivities of linecoded FSK systems are within 0.7 and 0.4 dB for single-branch and dual-branch detection, respectively, at a bit error probability of 10^-9 relative to the random non-return to zero FSK with flat FM response