Popis: |
This paper generalizes a pulse-quality metric referred to as P 2 , i.e., the time analogue of Siegman’s beam quality factor M 2 , to include pulsed (nonstationary) random fields of any state of coherence. The analysis begins with the derivation of a general P 2 relation, which we then specialize to the important cases of coherent and Schell-model pulsed beams. As examples, we derive the P 2 for two stochastic sources: (1) a cosine Gaussian-correlated Schell-model pulsed beam and (2) a nonuniformly correlated pulsed beam. For both of these sources, we generate (in simulation) random instances of each and compare the simulated (Monte Carlo) P 2 , i.e., computed directly from its definition, to the theoretical quantity. The agreement is excellent, thereby validating our P 2 analysis. |