SIMPLE ANALYTIC EXPRESSIONS FOR AM AND FM MODE-LOCKED PULSES IN HOMOGENEOUS LASERS

Abstract
Simple expressions for the mode‐locked pulses induced by either intracavity phase or amplitude (FM or AM) modulation in a homogeneous laser are developed by following a Gaussian pulse through one pass around the laser cavity. The predicted pulsewidth in either case is τp ∼ (g0/δ)1/4 × (ΔfaxialΔfatomic)−1/2, where g0 = saturated single‐pass excess laser gain, δ = single‐pass modulation index, Δfaxial = axial mode spacing, and Δfatomic = atomic linewidth. The FM case also shows a frequency `chirp' equal to the pulsewidth. Experiments with the FM case in a Nd:YAG laser show excellent agreement with the analysis.
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