# Approximate Fokker-Planck equation for a single-mode laser driven by quadratic pump noise and quantum noise with cross-correlation between real and imaginary parts of noise

## Abstract

A single-mode laser noise model driven by quadratic pump noise and quantum noise with cross-correlation between the real and imaginary parts of the noises is proposed. The approximate Fokker-Planck equation (AFPE) of the model for the laser phase and the laser amplitude is derived. It is found that the laser phase is controlled intensively by the correlation between the real and imaginary parts of the pump noise and that of the quantum noise. The correlation between the real and imaginary parts of quantum noise {lambda}{sub q} tends to lead the laser phase to be locked at some values and the correlation between the real and imaginary parts of the pump noise {lambda}{sub p} tends to destroy or confine the laser phase lock. Quantitative results are presented and discussed in detail. As an important application of the above-mentioned results, we take a phase lock approximation to get a Langevin equation for the laser field amplitude and an AFPE of the laser intensity.

- Authors:

- Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 (China)
- (World Laboratory), P.O. Box 8730, Beijing 100080 (China)
- CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 20974635

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.023802; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; APPROXIMATIONS; CORRELATIONS; FOKKER-PLANCK EQUATION; LANGEVIN EQUATION; LASER RADIATION

### Citation Formats

```
Cao Li, CCAST, Wu Dajin, and Department of Physics, Huazhong University of Science and Technology, Wuhan 430074.
```*Approximate Fokker-Planck equation for a single-mode laser driven by quadratic pump noise and quantum noise with cross-correlation between real and imaginary parts of noise*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.023802.

```
Cao Li, CCAST, Wu Dajin, & Department of Physics, Huazhong University of Science and Technology, Wuhan 430074.
```*Approximate Fokker-Planck equation for a single-mode laser driven by quadratic pump noise and quantum noise with cross-correlation between real and imaginary parts of noise*. United States. doi:10.1103/PHYSREVA.73.023802.

```
Cao Li, CCAST, Wu Dajin, and Department of Physics, Huazhong University of Science and Technology, Wuhan 430074. Wed .
"Approximate Fokker-Planck equation for a single-mode laser driven by quadratic pump noise and quantum noise with cross-correlation between real and imaginary parts of noise". United States.
doi:10.1103/PHYSREVA.73.023802.
```

```
@article{osti_20974635,
```

title = {Approximate Fokker-Planck equation for a single-mode laser driven by quadratic pump noise and quantum noise with cross-correlation between real and imaginary parts of noise},

author = {Cao Li and CCAST and Wu Dajin and Department of Physics, Huazhong University of Science and Technology, Wuhan 430074},

abstractNote = {A single-mode laser noise model driven by quadratic pump noise and quantum noise with cross-correlation between the real and imaginary parts of the noises is proposed. The approximate Fokker-Planck equation (AFPE) of the model for the laser phase and the laser amplitude is derived. It is found that the laser phase is controlled intensively by the correlation between the real and imaginary parts of the pump noise and that of the quantum noise. The correlation between the real and imaginary parts of quantum noise {lambda}{sub q} tends to lead the laser phase to be locked at some values and the correlation between the real and imaginary parts of the pump noise {lambda}{sub p} tends to destroy or confine the laser phase lock. Quantitative results are presented and discussed in detail. As an important application of the above-mentioned results, we take a phase lock approximation to get a Langevin equation for the laser field amplitude and an AFPE of the laser intensity.},

doi = {10.1103/PHYSREVA.73.023802},

journal = {Physical Review. A},

number = 2,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}