Digital Light Processing (DLP) Cure Depth Simulator

Parameters

Light Source

Irradiance I₀ 50mW/cm²

1 mW/cm²200 mW/cm²

Exposure Time t 2.0s

0.1 s10 s

Incident Exposure E₀ 100mJ/cm²

Resin

Photoabsorber [A] 0.030M

0.005 M0.100 M

O₂ Inhibition

Inhibition strength None

None (n=1)Strong (n=0.68)

Standard Jacob's equation — no O₂ correction

Cure Depth

—

μm

Penetration D_p

—

μm

I at 1 mm

—

% of I₀

Sample fill

—

% cured

Ready

Sample Cross-Section (1 mm depth) Cd = — μm

Cured polymer Liquid resin Cure boundary

Light Intensity Profile I(z) = I₀ · exp(−ε[A]z)

Live Equations

—

ε (molar absorptivity) is fixed at 1000 M⁻¹cm⁻¹ and E_c (critical exposure) is fixed at 10 mJ/cm² — both are typical values for common acrylate photoinitiator systems. D_p = 1/(ε·[A]) is the depth at which light attenuates to 1/e (~37%) of I₀. The O₂ model uses C_d = (D_p/n)·ln(I₀ⁿ·t/E_c), where n ∈ (0.68, 1) accounts for radical scavenging by dissolved oxygen. Sliding to "None" sets n = 1, recovering standard Jacob's equation.