Abstract
In this paper we discuss the effects of white noise on the spectral lineshape of a simple two dimensional oscillator and compare to the phase noise spectrum predicted by the methods of Demir and Kaertner. A numerical method based on the Fokker-Planck equation is employed to directly calculate the spectrum of the dynamical system. These results are then used as a benchmark to assess the efficiency of a novel small-noise perturbation method we have developed. Due to the simplicity of the oscillator it is possible to solve the approximated partial differential equation using characteristics; these solutions are then compared to the exact numerical results. We elucidate the effect of the amplitude-phase coupling term which causes the spectral lineshape to become non-Lorentzian.
| Original language | English |
|---|---|
| Article number | 06 |
| Pages (from-to) | 31-41 |
| Number of pages | 11 |
| Journal | Proceedings of SPIE - The International Society for Optical Engineering |
| Volume | 5847 |
| DOIs | |
| Publication status | Published - 2005 |
| Externally published | Yes |
| Event | Noise in Communication Systems - Austin, TX, United States Duration: 24 May 2005 → 26 May 2005 |
Keywords
- Amplitude-phase coupling effects
- Characteristics
- Demir/Kaertner approximation
- Fokker-Planck equation
- Non-Lorenztian lineshape