1. Wave functions (see Cowley Sect. 1.2)
Definitions

2. Wave functions
Eqn describing behavior of (r)

3. Wave functions
A

4. Wave functions
A

5. Superposition (see Cowley Sect. 1.3)
For linear, 2nd order DEs, sum of solns
also a 
Thus, can calc intensity from multipoint
sources

6. Superposition (see Cowley Sect. 1.3)
Intensity from multipoint sources

7. Superposition (see Cowley Sect. 1.3)
Intensity from multipoint sources
Taking the time average

8. Scattering (see Cowley Sect. 1.5)
Suppose array of scatterers represented by
potential field (r); is strength of interaction
w/ field

9. Scattering (see Cowley Sect. 1.5)
Suppose array of scatterers represented by
potential field (r); is strength of interaction
w/ field
An equivalent eqn is

10. Scattering
G(r,r') is amplitude at r from r'

11. Scattering
To evaluate (r), assume (r) = o(r) in integral
Then, if (r) known, integral can be evaluated, & intensity obtained

12. Convolution (see Cowley Sect. 2.1)
Definition of convolution (= folding = faltung)

13. Convolution (see Cowley Sect. 2.1)

14. Convolution