Commit 48be2d1b authored by Daniel Toyra's avatar Daniel Toyra
Browse files

More surface map stuff

parent 450ce175
......@@ -46,13 +46,13 @@ def znm2Rc(A,R):
minimum curvature.
Inputs: A, R
A - List of amplitudes for order 2 Zernike polynomials, ordered so that m
A - List of amplitudes of 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 xy-plane. [m]
Returns: Rc
Rc - If astigmatic modes are used (len(A) == 2 or 3) a numpy.array of length
2 containing min and max curvatures is returned. If only the 'defocus'
2 containing max and min 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 xy-plane.
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
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