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Q-Switch Pulse Estimator

Estimate Q-switched pulse duration, buildup time, and energy from cavity and gain parameters.

Q-switching generates short, energetic pulses by allowing population inversion to build under a high-loss cavity condition, then rapidly switching the cavity to low loss. The photon lifetime τ_c = 2L/(cδ) — where L is the one-way optical length, c is the speed of light, and δ is the round-trip loss including output coupler and internal losses — sets the fundamental pulse timescale. When the initial inversion ratio g_i = 2g₀l/δ exceeds one, pulses form with duration τ_p ≈ 3.5τ_c/(g_i − 1) and buildup time t_b. Enter cavity length, output coupler and high-reflector reflectivities, single-pass internal loss, small-signal gain, stimulated emission cross-section, beam area, and lasing wavelength to estimate stored energy, pulse duration, and peak power. Results assume an ideal fast Q-switch with uniform gain and approximately 60% extraction efficiency.

Cavity Parameters
Gain Parameters
Cavity Loss & Photon Lifetime
Round-trip loss (δ)
-ln(R₁R₂) + 2αl
0.5528
Photon lifetime (t_c)
2L / (cδ)
1.809ns
Initial inversion ratio (g_i)
2g₀l / δ
2.894
Pulse Dynamics
Buildup time (t_b)
t_c · ln(g_i) / (g_i − 1)
1.015ns
Pulse duration (τ_p)
3.5 · t_c / (g_i − 1)
3.342ns
Energy & Power Estimates
Stored energy (E_stored)
g₀l · hν · A / σ
16.01mJ
Estimated peak power
≈60% extraction: 0.6 · E_stored / τ_p
2874.7kW
Abridged Optics — Q-Switch Pulse Estimator v1.0Approximate model assumes fast Q-switch opening and uniform gain. Real pulses may differ due to spatial hole burning, ASE, and thermal effects.

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.