N-state Markov jump process
Abstract
A certain N-state Markov jump process is studied in connection with laser mode hopping and phase switching. We show that the Chapman-Kolmogorov-Smoluchowski equations can be solved exactly to yield a simple expression for the transition probability function. Some properties of such a process and its connection with the related pre-gaussian process are examined. We also study the atomic response to excitation by a laser whose phase or frequency exhibits such jumps, and the non-gaussian property of the line shape is discussed.
- Publication:
-
Optics Communications
- Pub Date:
- September 1984
- DOI:
- 10.1016/0030-4018(84)90233-5
- Bibcode:
- 1984OptCo..51..189D
- Keywords:
-
- Frequency Stability;
- Laser Modes;
- Laser Stability;
- Markov Processes;
- Transition Probabilities;
- Dye Lasers;
- Line Shape;
- Multimode Resonators;
- Phase Control;
- Lasers and Masers