WOLFRAM|DEMONSTRATIONS PROJECT

Zernike Coefficients for Concentric, Circular, Scaled Pupils

​
maximum order k
0
1
2
3
4
5
6
pupil ratio ϵ
0.8
values
numeric
analytic
b
0,m
=
1.
a
0,m
-0.623538
a
2,m
b
1,m
=
0.8
a
1,m
b
2,m
=
0.64
a
2,m
This Demonstration calculates and shows the Zernike coefficients
b
k,n
for circular, scaled, centered pupils, having a given pupil ratio, as a function of those coefficients for the unit pupil
a
k,n
.