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Sebastian Steinlechner
pykat
Commits
48be2d1b
Commit
48be2d1b
authored
Aug 07, 2015
by
Daniel Toyra
Browse files
More surface map stuff
parent
450ce175
Changes
2
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pykat/maths/zernike.py
View file @
48be2d1b
...
...
@@ 46,13 +46,13 @@ def znm2Rc(A,R):
minimum curvature.
Inputs: A, R
A  List of amplitudes f
or
order 2 Zernike polynomials, ordered so that m
A  List of amplitudes
o
f order 2 Zernike polynomials, ordered so that m
increases with list index. 1 <= len(A) <= 3. [m]
R  Radius of the mirror surface in the xyplane. [m]
Returns: Rc
Rc  If astigmatic modes are used (len(A) == 2 or 3) a numpy.array of length
2 containing m
in
and m
ax
curvatures is returned. If only the 'defocus'
2 containing m
ax
and m
in
curvatures is returned. If only the 'defocus'
mode is used Rc is a float number. [m]
Based on the Simtools function 'FT_Znm_to_Rc.m' by Charlotte Bond.
...
...
@@ 79,3 +79,33 @@ def znm2Rc(A,R):
Rc
=
((
2
*
a20
+
s
*
a22
)
**
2
+
R
**
2
)
/
(
2
*
(
2
*
a20
+
s
*
a22
))
return
Rc
def
Rc2znm
(
Rc
,
R
):
'''
Converts Radius of curvatue to amplitudes of the second order Zernike
polynomials.
Iputs: Rc, R
Rc  Radius of curvature. Either a number or a numpy.ndarray with
minimum and maximum curvature.
R  Radius of mirror in xyplane.
Returns: A
A  Ampltude(s) of the second order Zernike polynomials needed. Is
a number if Rc is a number, and if R is a numpy.ndarray so is A.
Based on Simtools function 'FT_Rc_to_Znm.m' by Charlotte Bond.
'''
# Amplitude in x and y directions
c
=
(
Rc

np
.
sign
(
Rc
)
*
np
.
sqrt
(
Rc
**
2

R
**
2
)
)
/
2
if
isinstance
(
Rc
,
np
.
ndarray
):
A
=
np
.
array
([])
# Adding Z(2,0) amplitude
A
=
np
.
append
(
A
,
c
.
mean
())
# Adding Z(2,2) amplitude
A
=
np
.
append
(
A
,
2
*
(
c
[
0
]

A
[
0
]))
elif
isinstance
(
Rc
,
float
)
or
isinstance
(
Rc
,
int
):
A
=
c
return
A
pykat/optics/maps.py
View file @
48be2d1b
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