Transient analysis of an electronically tunable dye laser - Part II: Analytic study

The model formulated for the operation of a dye laser electronically tuned by an acoustooptic filter in Part I [1] is reduced to ar analytically soluble form by assuming that the power spectrum is Gaussian with an amplitude, width, and center frequency that are time dependent. Nonlinear coupled ordinary differential equations for these quantities are derived. Two modes of operation are distinguished depending on the various parameter values. In the first case, the dye saturates and the output is laserlike, whereas in the second it is amplified fluorescence. For both cases we obtain steady-state values of spectral bandwidth, power, net saturated dye gain at filter center, and spectral shift from filter center. The transient analysis, although incomplete, yields insight into device behavior for both cases.