Simulation Parameters
1500
1550 nm
1630
1
50 mW
100
1
5 mm
10
0.1
0.47 pm/V
2
-10
0 (Phase Matched)
10
5
20 μm
50
SHG Power Evolution
Phase Matching Spectrum
SHG Wavelength
775 nm
Conversion Efficiency
0.12%
SHG Power
60 μW
Coherence Length
∞ (PM)
Wave Propagation Visualization
SHG Theory
Second Harmonic Generation
Two photons at frequency ω combine to create one photon at 2ω through the χ⁽²⁾ nonlinearity:
P2ω = ε₀ χ⁽²⁾ Eω2
Phase Matching Condition
Efficient conversion requires momentum conservation:
Δk = k2ω - 2kω = 0
Quasi-Phase Matching
Periodic modulation of χ⁽²⁾ compensates phase mismatch:
ΛQPM = 2π / Δk
Conversion Efficiency
For phase-matched SHG:
η ∝ (χ⁽²⁾)2 L2 Ppump