Beam Mode Configuration
10 mm
50 μm
20 μm
l = 1
SHG Beam Intensity Profile
Phase Profile (χ⁽²⁾ Pattern)
Beam Propagation (Side View)
Spot Size
2.5 μm
Rayleigh Range
25 μm
Divergence
5.0°
Peak Intensity
150 W/cm²
M² Factor
1.05
Intensity Cross-Section
Beam Properties
Gaussian Focusing
Classical TEM₀₀ mode with quadratic phase profile. The χ⁽²⁾ grating imparts a lens-like phase to focus or defocus the SHG beam.
Key Equation
φ(x) = πx²/(λf)
Spatial Mode Theory
Airy Beams
Self-accelerating, non-diffracting beams following a parabolic trajectory:
Ai(s) ∝ ∫exp(i(t³/3 + st))dt
Vortex Beams
Carry orbital angular momentum with helical phase:
E(r,φ) = E₀(r) exp(ilφ)