Q-Switch Pulse Estimator

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

Cavity Parameters

Cavity optical length (L)?

Output coupler reflectivity (R\u2081)?

High reflector reflectivity (R\u2082)?

Single-pass internal loss (\u03B1l)?

Gain Parameters

Small-signal gain (g\u2080l)?

Emission cross-section (\u03C3)?

Beam area in gain medium (A)?

Laser wavelength (\u03BB)?

Cavity Loss & Photon Lifetime

Round-trip loss (\u03B4)

-ln(R\u2081R\u2082) + 2\u03B1l

0.5528

Photon lifetime (t_c)

2L / (c\u03B4)

1.809ns

Initial inversion ratio (g_i)

2g\u2080l / \u03B4

2.894

Pulse Dynamics

Buildup time (t_b)

t_c \u00B7 ln(g_i) / (g_i \u2212 1)

1.015ns

Pulse duration (\u03C4_p)

3.5 \u00B7 t_c / (g_i \u2212 1)

3.342ns

Energy & Power Estimates

Stored energy (E_stored)

g\u2080l \u00B7 h\u03BD \u00B7 A / \u03C3

16.01mJ

Estimated peak power

\u224860% extraction: 0.6 \u00B7 E_stored / \u03C4_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.