Grating Design Parameters
1550 nm
20 μm
50%
50
0 μm/mm
χ⁽²⁾ Spatial Distribution
Phase Matching Bandwidth
Total Length
1.0 mm
PM Bandwidth
2.5 nm
Peak Efficiency
95%
Pixel Count
133
Sidelobe Level
-13 dB
2D Programmable Pattern (Light Intensity Map)
Fourier Components
Grating Parameters
Fundamental k-vector
0.314 /μm
Effective χ⁽²⁾
0.30 pm/V
1st Order Coefficient
0.637
Walk-off Length
2.5 mm
Temperature Sensitivity
0.05 nm/°C
QPM Theory
Quasi-Phase Matching
Periodic modulation of χ⁽²⁾ provides momentum to compensate phase mismatch:
k2ω - 2kω - Kg = 0
where Kg = 2π/Λ is the grating vector
Effective Nonlinearity
The effective χ⁽²⁾ for first-order QPM:
χ(2)eff = (2/π) χ(2) sin(πD)
Maximum at 50% duty cycle (D = 0.5)