12 Example 10.7

Ray Optics Approximation Simulation

Ray Optics Approximation Simulation

This simulation demonstrates when ray optics is a good approximation based on the Fresnel distance (zₑ = a²/λ). When the propagation distance is much less than zₑ, diffraction effects can be neglected and ray optics is valid.

z_F = a² / λ

Where a is aperture size and λ is wavelength. In the example: (3mm)²/500nm = 18m.

Results:

Fresnel distance (zₑ): 18.0 m

Current distance: 5.0 m (27.8% of zₑ)

Ray optics validity: Valid approximation (z ≪ zₑ)

When z approaches zₑ, diffraction effects become significant.

Leave a Comment

Scroll to Top