For several α values, simulate an Airy image function. Let σ g = 1.323/α. Simulate a 2D Gaussian image function with parameter σ g and overlay it with the Airy image function simulated with α. How do...

For several α values, simulate an Airy image function. Let σ_g
= 1.323/α. Simulate a 2D Gaussian image function with parameter σ_g
and overlay it with the Airy image function simulated with α. How do the Gaussian and Airy image functions compare?

For both the Airy image function and the 2D Gaussian image function, verify that the second condition in the definition of an image function is satisfied, i.e., verify that F R₂
q(x, y)dxdy = 1.