Laser Bandwidth & Chromatic Effects

Spectral Analysis & Coherence Length

0.5 pm
Bandwidth (Δλ)
75 μm
Coherence Length
12 nm
Chromatic Shift
0.95
Speckle Contrast
Key Physics Equations:
Chromatic Shift: Δf = -f/(n-λdn/dλ) × Δλ
Coherence Length: L_c = λ²/Δλ
Speckle Contrast: C = 1/√N (N=modes)
Temporal Coherence: γ(τ) = sinc(πΔντ)
Bandwidth Focus: σ_chromatic = √(Δf²/12)

Laser Parameters

Bandwidth Δλ (pm)0.5
Wavelength (nm)193.4
Refractive Index n1.56
dn/dλ (×10³ nm⁻¹)-200
Focal Length (mm)30
Pulse Energy (mJ)5
Number of Modes50
Coherence Time (ps)2.0

1. Spectral Distribution

2. Chromatic Focal Shift vs Wavelength

3. Temporal Coherence Function

4. Speckle Contrast vs Modes

5. Focus Error Budget

6. Bandwidth vs Coherence Length

7. MTF Degradation

3D Spectral & Focal Distribution