Diffraction grating

Amplitude ,phase

Binary grating

Blazed grating

Grating

n 1 0h0 0

2( 1)n h

Computer Generated hologram

2 2( , ) ( , ) 2 ( , ) cos[2 ( , )]x Tt x y T x y R RT x y v x x y

Hologram:

Complex function to phase only function

( , ) 2 ( , ) cos[2 ( , )]x Tt x y RT x y v x x y

Computer generated hologram:

1 2 ( , ) 2 asin ( , ) 2( , )

0x Tx x y T x y n

f x yotherwise

max 0( , ) ( , ) (2 ) ( , )yx y a x y q y b x y

Binary encoding (1st order):

Gray level encoding:

Binary phase encoding Binary amplitude encoding

Complex 2 phase encoding