Frequency, intensity, and field fluctuations in laser oscillators

Yariv, Amnon; Caton, William M.

doi:10.1109/jqe.1974.1068188

Cited by 29 publications

(5 citation statements)

References 9 publications

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“…5 ' 6 The optical field is taken as (1) where 5(t) and OM(t) are the noise-driven amplitude and phase excursions, respectively. The loss is represented by a frequency-dependent photon lifetime Tp,…”

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confidence: 99%

Self-quenching of fundamental phase and amplitude noise in semiconductor lasers with dispersive loss

1990

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We show theoretically that the incorporation of a frequency-dependent loss mechanism in a semiconductor laser can lead, in concert with the amplitude-to-phase coupling, to major reductions of the fundamental intensity and phase noise. A loss dispersion of the wrong sign, on the other hand, leads to an increase of the noise and, at a certain strength, to instability. The optical field is taken aswhere 5(t) and OM(t) are the noise-driven amplitude and phase excursions, respectively. The loss is represented by a frequency-dependent photon lifetime Tp,Tp rpo (2) with rnm the average frequency and xi ( 3 ) and Xr(3) the imaginary and real part of the third-order amplifying medium susceptibility so that a is the amplitude-tophase coupling factor. A formal solution of Eqs. (3) with 6(0) = 0, q(0) = 0 leads toW' WI (1 + Ca), This is the key ensatz. It stipulates that the loss rate where Ai and Ar are, respectively, the real and imaginary parts of the Langevin noise sources representing the spontaneous emission, and (5) (6) (7) where co' is seen to play the role of the fundamental decay rate of the fluctuations. This rate increases for Ca >O. Taking first the case of col'> O we can neglect the decaying terms, i.e., terms with cl'(t -X), in the exponent of Eq. (6) A~k Xr(3)°1---

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Self-quenching of fundamental phase and amplitude noise in semiconductor lasers with dispersive loss

1990

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“…Assume the FWHM of the Lorentzian lineshape is h, then the value of the single-band frequency noise PSD is [24] S υ (υ) = h π which makes the left-hand side of (15)…”

Section: The Validity Of the Central Relationmentioning

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A General Relation Between Frequency Noise and Lineshape of Laser Light

Zhang

Yariv

2020

IEEE J. Quantum Electron.

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Lasers and especially semiconductor lasers (SCLs) are playing a major role in advanced technological and scientific tasks ranging from sensing, fundamental investigations in quantum optics and communications. The demand for ever-increasing accuracy and communication rates has driven these applications to employ phase modulation and coherent detection. The main laser attribute that comes into play is its coherence which is usually quantified by either the Schawlow-Townes (S-T) linewidth, the spectral width of the laser field, or the power spectral density (PSD) function of the laser frequency fluctuation. In this paper, we present a derivation of a general and direct relationship between these two coherence measures. We refer to the result as the Central Relation. The relation applies independently of the physical origin of the noise. Experiments are described which demonstrate the validity of the Central Relation and at the same time suggest new methods of controlling frequency noise at base band by optical filtering.

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“…It can be seen that the flicker (1/ f ) and white noise is dominant below and above 100 kHz Fourier frequency, respectively [4]. For estimating the coherence length, the degree of coherence γ ( l ) as a function of the delay length l is calculated from the FMPSD using the following relationship [5] with the result shown in Fig. 2 b

γ false(l false) = \exp (][, - \int_{0}^{\infty} S_{ν} (f) \frac{\sin^{2} (π f l / c)}{f^{2}} d f) .

…”

Section: Coherence Length Of the Dfb Lasermentioning

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Differential FMCW‐LiDAR for breaking the limit of laser coherence

Tsuchida

2020

Electron. lett.

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One of the serious limitations in frequency-modulated continuous wave light detection and ranging (FMCW-LiDAR) is the maximum ranging distance as imposed by the coherence of light sources. The author proposes and demonstrates a new technique for overcoming the limitation using differential detection scheme between the frequency-fixed carrier and frequency-modulated subcarrier, which are generated from a single laser source. In the proof-of-principle experiment, two reflection points with a 3 m separation are clearly resolved at distances 192.2 m and 1.504 km using a distributed feedback (DFB) laser with the coherence length of 70 m.

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Frequency, intensity, and field fluctuations in laser oscillators

Abstract: Abstracf-The basic differential equation governinglaser noise is derived from classical and quantum mechanical considerations. Its linearized Van Der Pol form is used to derive the frequency, field, and intensity fluctuation spectra.

Cited by 29 publications

References 9 publications

Self-quenching of fundamental phase and amplitude noise in semiconductor lasers with dispersive loss

Self-quenching of fundamental phase and amplitude noise in semiconductor lasers with dispersive loss

A General Relation Between Frequency Noise and Lineshape of Laser Light

Differential FMCW‐LiDAR for breaking the limit of laser coherence

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