For a nonlinear process to efficiently transfer energy from input waves to a generated wave, the phase velocities of the waves must be perfectly synchronized throughout the crystal length. This condition is known as .
The two lower-frequency waves have the same polarization, while the higher-frequency wave is orthogonally polarized.
SNLO is a powerful public-domain software package developed by Arlee Smith at Sandia National Laboratories (and maintained via AS-Photonics / Select Consultants). It features a collection of over 20 modular functions designed to calculate crystal properties and simulate nonlinear optical mixing. Key Capabilities
Nonlinear optics (NLO) is a cornerstone of modern laser technology. It enables the generation of new light frequencies through processes like second-harmonic generation (SHG), optical parametric oscillation (OPO), and sum-frequency generation (SFG). However, designing and predicting the efficiency of these interactions requires complex mathematical modeling. crystal nonlinear optics with snlo examples pdf
Click . SNLO steps through time slices of the pulse as it round-trips inside the cavity. Step 5: Analyzing Outputs The module outputs graphical plots showing:
Screenshots or exported data tables of the calculations.
Convert 1064 nm (Infrared) to 532 nm (Green) using a KTP crystal. SNLO Module: Use the Q-Mix or Ref. Ind. function. Steps: Select KTP from the crystal list. Set Wavelength 1 to 1064 nm and Wavelength 2 to 1064 nm. For a nonlinear process to efficiently transfer energy
Focus on a specific like difference-frequency generation (DFG) or third-harmonic generation (THG).
P(t)=ε0[χ(1)E(t)+χ(2)E2(t)+χ(3)E3(t)+…]cap P open paren t close paren equals epsilon sub 0 open bracket chi raised to the open paren 1 close paren power cap E open paren t close paren plus chi raised to the open paren 2 close paren power cap E squared open paren t close paren plus chi raised to the open paren 3 close paren power cap E cubed open paren t close paren plus … close bracket ε0epsilon sub 0 is the vacuum permittivity. χ(1)chi raised to the open paren 1 close paren power
[ n_2\omega = n_\omega ]
). To achieve phase matching, the higher frequency must see the lower index (
Still, for quick design, phase matching, and comparison of crystals, SNLO is invaluable.