Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Phase Matching of SHG in Nonlinear Optics

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration studies the phase matching condition of second harmonic generation (SHG) in nonlinear optics. The pump laser wave is given by . The wave of the second harmonic generation (SHG) is if the phase is matched, and if the phase is mismatched, where .

[more]

If , , then , and , where the SHG wave is generated at the position of . In this Demonstration, .

Click the first button to compare the standard phase (blue line) and the mismatched phase (other lines). Click the second and third buttons to see the summations of amplitudes and intensities of the mismatched waves, respectively. The intensity of optical wave is proportional to the square of the wave amplitude. It can be seen that when , the sum of the intensites reaches the maximum value, which means that the phase is matched.

[less]

Contributed by: R. B. Jin (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send