Estimate peak intensity for pulsed lasers (simplified).
Peak Intensity (I₀)
3.9789e+13 W/m²
I₀ = P_avg / (f × τ × π w₀²)
Two-photon absorption (TPA) is a non-linear process where two photons are absorbed simultaneously. The probability of TPA is proportional to the square of the light intensity, making it highly localized in the focal volume of a laser beam.
Provide average power, repetition rate, pulse width, and spot radius to estimate peak intensity for pulsed lasers. This is a simplified estimate.
100 mW, 80 MHz, 100 fs, 10 μm → I₀ on the order of 1e12–1e14 W/m² (example depends on parameters).
Q: Is this the TPA cross-section? A: No — this is peak intensity. Q: Use in experiments? A: This is an order-of-magnitude estimate; consult material data for true cross-sections.
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