# Brewster's Law

Excerpt from Field Guide to Polarization

## Spherical Aberration Interferograms

The following figures are example interferograms with their corresponding wavefront aberration and Zernike coefficients in waves.

 W020=1W040=0Z3=1/2Z8=0 W020=0W040=1Z3=1/2Z8=1/6 W020=0W040=4Z3=2Z8=2/3 W020=0W040=0Z3=0Z8=0 W020=-1W040=1Z3=0Z8=1/6 W020=-4W040=4Z3=0Z8=2/3 W020=-1W040=0Z3=-1/2Z8=0 W020=-2W040=1Z3=-1/2Z8=1/6 W020=-8W040=4Z3=-2Z8=2/3

W111=−4 and Z1=−4 for all of these interferograms.

## Astigmatism Interferograms

θ=Tilt orientation

Wavefront Coefficients

W020=0
W111=4 at θ
W222=−1 at 90°

Zernike Coefficients

 Z0=−1/4 Z3=−1/4 Z1=4 cosθ Z4=1/2 Z2=4sinθ Z5=0

Wavefront Coefficients

W020=0
W111=1 at θ
W222=−4 at 90°

Zernike Coefficients

 Z0=−1 Z3=−1 Z1= cosθ Z4=2 Z2=sinθ Z5=0

Wavefront Coefficients

W020=2
W111=1 at θ
W222=−4 at 90°

Zernike Coefficients

 Z0=0 Z3=0 Z1= cosθ Z4=2 Z2=sinθ Z5=0
Citation:

E. Collett, Field Guide to Polarization, SPIE Press, Bellingham, WA (2005).