2016_Imaging for Physicists

• Again, a set of differential equations results: • Horrible, but applicable, solution: )( )( )( )( )( ) ( )( )( tCk tCk dt t dC tCk tCk k tCk dt t dC B 4 F 3 B B 4 F 3 2 P 1 F − = + + − = [ ] [ ] )( )( )( ) ( ) ( )( tC e e kk tC tC ek e k k tC P t t 1 2 31 B P t 4 2 t 1 4 1 2 1 F 2 1 2 1 ⊗       − − = ⊗       − + − − = − − − − α α α α α α α α α α

2

k k k 2 (

)

kk4 k k k 42

− + +

+ +

3

4

,

=

α

α

2

3

4

2 1

2

2

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