def singleOptic(N, misalign=np.zeros(6)):
"""Trace single primary mirror from SLF finite
source distance.
"""
#Define some Wolter parameters
r1 = conic.primrad(8600., 220., 8400.)
dphi = 100. / 220. / 2
#Set up subannulus
rays = sources.subannulus(220., r1, dphi * 1.25, N)
## #Set direction cosines
## srcdist = 89.61e3+(1.5e3-misalign[2])
## raydist = sqrt(srcdist**2+\
## (rays[1]-misalign[0])**2+\
## (rays[2]-misalign[1])**2)
## l = (rays[1]-misalign[0])/raydist
## m = (rays[2]-misalign[1])/raydist
## n = -sqrt(1. - l**2 - m**2)
## rays = [rays[0],rays[1],rays[2],rays[3],l,m,n,rays[7],rays[8],rays[9]]
#Go to mirror node and apply rotational misalignment
tran.transform(rays, 220., 0, 0, misalign[3], misalign[4], misalign[5])
tran.transform(rays, -220., 0, 0, 0, 0, 0)
#Place Wolter surfaces
tran.transform(rays, 0, 0, -8400., 0, 0, 0)
surf.wolterprimary(rays, 220., 8400.)
tran.reflect(rays)
#Vignette rays not landing in active mirror area
indz = np.logical_and(rays[3] > 8426., rays[3] < 8526.)
ind = np.logical_and(np.abs(rays[2]) < 50., indz)
rays = tran.vignette(rays, ind=ind)
#Go to focus
surf.flat(rays)
f = surf.focusI(rays) - 8400.
return rays #anal.hpd(rays)/abs(f)*180/pi*60**2,abs(f)
def traceSource(N):
"""Trace rays from PANTER point source to position of
SPO optics
"""
#Set up subannulus
r0 = 737.
F = 12e3
L = 4 * F * .605 / r0
tg = .25 * np.arctan(r0 / F)
r1 = r0 + L * tg
dphi = 50. / r0 / 2
rays = sources.subannulus(r0, r1, dphi, N)
#Shift annulus to zero x coordinate
tran.transform(rays, r0, 0, 0, 0, 0, 0)
#Set ray cosines
srcdist = 119471.
raydist = sqrt(srcdist**2 + rays[1]**2 + rays[2]**2)
l = rays[1] / raydist
m = rays[2] / raydist
n = -sqrt(1. - l**2 - m**2)
rays = [
rays[0], rays[1], rays[2], rays[3], l, m, n, rays[7], rays[8], rays[9]
]
#Go to optical axis
tran.transform(rays, -r0, 0, 0, 0, 0, 0)
return rays
def fullShellPair(ang=2 * np.pi, secalign=[0, 0, 0, 0, 0, 0]):
"""
Trace a full shell optic with misalignments of the secondary
with respect to primary. Allow azimuthal extent to be a variable.
"""
#Set up ray bundle
rays = sources.subannulus(220., 220.6, ang, 100000, zhat=-1.)
tran.transform(rays, 0, 0, -8400., 0, 0, 0)
theta = np.arctan2(rays[2], rays[1])
#Trace through optics
surf.wolterprimary(rays, 220., 8400.)
tran.reflect(rays)
tran.transform(rays, 0, 0, 8400., 0, 0, 0)
tran.transform(rays, *secalign)
tran.transform(rays, 0, 0, -8400., 0, 0, 0)
surf.woltersecondary(rays, 220., 8400.)
tran.reflect(rays)
tran.transform(rays, 0, 0, 8400., 0, 0, 0)
tran.itransform(rays, *secalign)
#Go to focus
tran.transform(rays, 0, 0, -8400., 0, 0, 0)
surf.flat(rays)
#Plot misalignment curves
## plt.plot(theta,rays[1],'.')
## plt.plot(theta,rays[2],'.')
plt.plot(rays[1], rays[2], '.')
return rays, theta
def distortTrace(cone1,sag1,roc1,cone2,sag2,roc2,despace=0.,secondaryTilt=0.,\
nominal=True):
"""
Trace rays through a Wolter mirror pair with low
order distortions. Distortions can be applied to
either primary or secondary or both.
axial sag, azimuthal sag, and cone angle are included.
"""
#Define ray subannulus
r1 = surf.con.primrad(8600., 1000., 8400.)
ang = 260. / 1000. #arc length over radius is angular extent
rays = sources.subannulus(1000., r1, ang, 10**3)
tran.transform(rays, 0, 0, 0, np.pi, 0, 0) #Point in -z
tran.transform(rays, 0, 0, -10000, 0, 0, 0) #Converge from above
#Trace to primary
surf.primaryLL(rays,1000.,8400.,8600,8400,ang,[cone1,sag1,roc1],\
[1,2,0],[0,0,2])
#Vignette rays missing
ind = np.logical_and(rays[3] < 8600., rays[3] > 8400.)
rays = tran.vignette(rays, ind)
numin = float(len(rays[1]))
#Reflect
tran.reflect(rays)
#Apply secondary misalignment
tran.transform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
tran.transform(rays, 0, 0, despace, 0, secondaryTilt, 0)
tran.itransform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
#Trace to secondary
surf.secondaryLL(rays,1000.,8400.,8400.,8200.,ang,[cone2,sag2,roc2],\
[1,2,0],[0,0,2])
#Vignette rays missing
ind = np.logical_and(rays[3] < 8400., rays[3] > 8200.)
rays = tran.vignette(rays, ind)
numout = float(len(rays[1]))
#Reflect
tran.reflect(rays)
#Reverse secondary misalignment
tran.transform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
tran.itransform(rays, 0, 0, despace, 0, secondaryTilt, 0)
tran.itransform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
#Go to focus
if nominal is True:
surf.flat(rays)
else:
surf.focusI(rays)
#Return merit function
return rays #anal.hpd(rays)/8400.,numout/numin
def mirrorPair(N,srcdist=89.61e3+1.5e3,primalign=np.zeros(6),\
secalign=np.zeros(6),rrays=False,f=None,\
plist=[[0],[0],[0]],hlist=[[0],[0],[0]]):
"""
SLF finite source trace
"""
#Establish subannulus of rays
rays = sources.subannulus(220., 221., 100. / 220., N, zhat=-1.)
#Transform to node position
tran.transform(rays, 220, 0, 0, 0, 0, 0)
#Set up finite source distance
raydist = sqrt(srcdist**2 + rays[1]**2 + rays[2]**2)
rays[4] = rays[1] / raydist
rays[5] = rays[2] / raydist
rays[6] = -sqrt(1. - rays[4]**2 - rays[5]**2)
#Place mirror pair
coords = [tran.tr.identity_matrix()] * 4
tran.transform(rays,-220+conic.primrad(8450.,220.,8400.),0,50.,0,0,0,\
coords=coords)
tran.transform(rays, *primalign, coords=coords)
tran.transform(rays,-conic.primrad(8450.,220.,8400.),0,-8450.,0,0,0,\
coords=coords)
## surf.wolterprimary(rays,220.,8400.)
surf.primaryLL(rays, 220., 8400., 8500., 8400., 100. / 220, *plist)
rays = tran.vignette(rays,ind=np.logical_and(rays[3]<8500.,\
rays[3]>8400.))
tran.reflect(rays)
#Place secondary in primary's reference frame
tran.transform(rays,conic.secrad(8350.,220.,8400.),0,8350.,0,0,0,\
coords=coords)
tran.transform(rays, *secalign, coords=coords)
tran.itransform(rays,conic.secrad(8350.,220.,8400.),0,8350.,0,0,0,\
coords=coords)
## surf.woltersecondary(rays,220.,8400.)
surf.secondaryLL(rays, 220., 8400., 1., 8400., 8300., 100. / 220, *hlist)
rays = tran.vignette(rays,ind=np.logical_and(rays[3]<8400.,\
rays[3]>8300.))
tran.reflect(rays)
#Go back to nominal node reference frame and down to focus
rays = tran.applyT(rays, coords, inverse=True)
if f is None:
f = -surf.focusI(rays)
print f
else:
tran.transform(rays, 0, 0, -f, 0, 0, 0)
surf.flat(rays)
if rrays is True:
return rays
return anal.hpd(rays)/f * 180/np.pi * 60.**2, \
airnp.mean(rays[1]), np.mean(rays[2])
def sourceToChamber(N, misalign=np.zeros(6)):
"""
Trace randomly sampled rays from the TruFocus X-ray source
to the 1.22 m diameter entrance to the test chamber.
A-B from Jeff K.'s memo is 89.61
Use oversized sub-apertured annulus, applying translations
"""
#Define some Wolter parameters
r1 = conic.primrad(8600., 220., 8400.)
dphi = 100. / 220. / 2
#Set up subannulus
rays = sources.subannulus(220., r1, dphi * 1.25, N)
#Set direction cosines
srcdist = 89.61e3 + (1.5e3 - misalign[2])
raydist = sqrt(srcdist**2+\
(rays[1]-misalign[0])**2+\
(rays[2]-misalign[1])**2)
l = (rays[1] - misalign[0]) / raydist
m = (rays[2] - misalign[1]) / raydist
n = -sqrt(1. - l**2 - m**2)
rays = [
rays[0], rays[1], rays[2], rays[3], l, m, n, rays[7], rays[8], rays[9]
]
#Go to mirror node and apply rotational misalignment
tran.transform(rays, 220., 0, 0, misalign[3], misalign[4], misalign[5])
tran.transform(rays, -220., 0, 0, 0, 0, 0)
#Place Wolter surfaces
tran.transform(rays, 0, 0, -8400., 0, 0, 0)
surf.wolterprimary(rays, 220., 8400.)
tran.reflect(rays)
#Vignette rays not landing in active mirror area
indz = np.logical_and(rays[3] > 8426., rays[3] < 8526.)
ind = np.logical_and(np.abs(rays[2]) < 50., indz)
rays = tran.vignette(rays, ind=ind)
#Place secondary
surf.woltersecondary(rays, 220., 8400.)
tran.reflect(rays)
#Vignette rays not landing in active mirror area
indz = np.logical_and(rays[3] > 8276., rays[3] < 8376.)
ind = np.logical_and(np.abs(rays[2]) < 50., indz)
rays = tran.vignette(rays, ind=ind)
#Go back up to intersection plane
tran.transform(rays, 0, 0, 8400, 0, 0, 0)
#Reverse misalignments
tran.itransform(rays, -220., 0, 0, 0, 0, 0)
tran.itransform(rays, 0, 0, 0, misalign[3], misalign[4], misalign[5])
tran.itransform(rays, 220, 0, 0, 0, 0, 0)
#Now back in nominal intersection coordinate system
#Go to focus
f = -9253.3858232
tran.transform(rays, 0, 0, f, 0, 0, 0)
surf.flat(rays)
return rays #anal.hpd(rays)/abs(f)*60**2*180/pi
def pairRaytrace(secondaryTilt, despace):
"""Trace the distorted mirror pair. Assume no gap for now.
Vignette rays that land outside active mirror areas."""
#Define ray subannulus
r1 = surf.con.primrad(8600., 1000., 8400.)
ang = 260. / 1000. #arc length over radius is angular extent
rays = sources.subannulus(1000., r1, ang, 10**3)
tran.transform(rays, 0, 0, 0, np.pi, 0, 0) #Point in -z
tran.transform(rays, 0, 0, -10000, 0, 0, 0) #Converge from above
#Trace to primary
surf.primaryLL(rays, 1000., 8400., 8600, 8400, ang, res[0], res[2], res[1])
#Vignette rays missing
ind = np.logical_and(rays[3] < 8600., rays[3] > 8400.)
rays = tran.vignette(rays, ind)
numin = float(len(rays[1]))
#Reflect
tran.reflect(rays)
#Bring to midplane of despaced secondary
#Apply secondary misalignment
tran.transform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
tran.transform(rays, 0, 0, despace, 0, secondaryTilt, 0)
tran.itransform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
#Trace to secondary
surf.secondaryLL(rays, 1000., 8400., 8400., 8200., ang, res2[0], res2[2],
res2[1])
#Vignette rays missing
ind = np.logical_and(rays[3] < 8400., rays[3] > 8200.)
rays = tran.vignette(rays, ind)
numout = float(len(rays[1]))
#Reflect
tran.reflect(rays)
#Reverse secondary misalignment
tran.transform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
tran.itransform(rays, 0, 0, despace, 0, secondaryTilt, 0)
tran.itransform(rays, surf.con.secrad(8300., 1000., 8400.), 0, 8300, 0, 0,
0)
#Go to focus
surf.focusI(rays)
#Get centroid
cx, cy = anal.centroid(rays)
#Return merit function
return anal.rmsCentroid(
rays) / 8400. * 180 / np.pi * 60**2, numout / numin, cx, cy
def singleOptic2(n,misalign=np.zeros(6),srcdist=89.61e3+1.5e3,az=100.,\
returnRays=False,f=None,\
plist=[[0],[0],[0]],\
ax=100.):
"""Alternative SLF finite source trace"""
#Establish subannulus of rays
r0 = conic.primrad(8426., 220., 8400.)
r1 = conic.primrad(8426. + ax, 220., 8400.)
rays = sources.subannulus(r0, r1, az / 220., n, zhat=-1.)
#Transform to node position
tran.transform(rays, 220, 0, 0, 0, 0, 0)
#Set up finite source distance
raydist = sqrt(srcdist**2 + rays[1]**2 + rays[2]**2)
l = rays[1] / raydist
m = rays[2] / raydist
n = -sqrt(1. - l**2 - m**2)
rays = [
raydist, rays[1], rays[2], rays[3], l, m, n, rays[7], rays[8], rays[9]
]
#Align perfectly to beam
tran.steerX(rays)
#Apply misalignment
tran.transform(rays, *misalign)
#Place mirror
tran.transform(rays, -220., 0, -8400., 0, 0, 0)
## surf.wolterprimarynode(rays,220,8400.)
surf.primaryLL(rays, 220., 8400., 8426. + ax, 8426., az / 220., *plist)
rays = tran.vignette(rays,ind=np.logical_and(rays[3]<8400.+ax,\
rays[3]>8400.))
tran.itransform(rays, -220., 0., -8400., 0, 0, 0)
#Vignette rays not landing in active mirror area
ind = np.logical_and(rays[3] > 26., rays[3] < (26. + ax))
## ind = np.logical_and(np.abs(rays[2])<az/2.,indz)
rays = tran.vignette(rays, ind=ind)
#Reverse misalignment
tran.itransform(rays, *misalign)
#Reflect and go to surface
tran.reflect(rays)
if f is None:
f = surf.focusI(rays)
else:
tran.transform(rays, 0, 0, f, 0, 0, 0)
surf.flat(rays)
#Get centroid
cx, cy = anal.centroid(rays)
if returnRays is True:
return rays
return anal.hpd(rays) / abs(f) * 180 / pi * 60**2, f, cx
def tracePrimary(primCoeffs=None, primalign=np.zeros(6)):
"""
Trace rays from focus to primary, off retroreflector,
then back to focus. Return spot centroids.
"""
#Set up source
primfoc = conic.primfocus(220., 8400.)
r1 = conic.primrad(8500., 220., 8400.)
rays = sources.subannulus(220., r1, 100. / 220, 100000, zhat=1.)
tran.pointTo(rays, 0., 0., -primfoc, reverse=1.)
theta = np.arctan2(rays[2], rays[1])
#Trace to primary
tran.transform(rays, *primalign)
tran.transform(rays, 0., 0, -8400., 0, 0, 0)
if primCoeffs is None:
surf.wolterprimary(rays, 220., 8400.)
else:
surf.primaryLL(rays,220.,8400.,8500.,8400.,100./220.,\
*primCoeffs)
tran.transform(rays, 0, 0, 8400., 0, 0, 0)
tran.itransform(rays, *primalign)
tran.reflect(rays)
#Reflect and come back
tran.transform(rays, 0, 0, 400., 0, 0, 0)
surf.flat(rays)
tran.reflect(rays)
tran.transform(rays, 0, 0, -400., 0, 0, 0)
#Trace to primary
tran.transform(rays, *primalign)
tran.transform(rays, 0., 0, -8400., 0, 0, 0)
if primCoeffs is None:
surf.wolterprimary(rays, 220., 8400.)
else:
surf.primaryLL(rays,220.,8400.,8500.,8400.,100./220.,\
*primCoeffs)
ind = np.logical_and(rays[3] > 8400., rays[3] < 8500.)
tran.vignette(rays, ind=ind)
tran.transform(rays, 0, 0, 8400., 0, 0, 0)
tran.itransform(rays, *primalign)
tran.reflect(rays)
#Go to primary focus
tran.transform(rays, 0, 0, -primfoc, 0, 0, 0)
surf.flat(rays)
return rays, theta
def traceSPO(N,rin=700.,rout=737.,azwidth=66.,srcdist=89.61e3+1.5e3,\
scatter=False):
"""
Trace a set of rays through an SPO module using a
finite source distance. Ignore vignetting, we are
only interested in aberrations.
Set up a subannulus, apply finite source effect,
and then simply translate to inner SPO radius and
trace outward.
Let x be the radial direction, y the azimuthal
"""
#Establish subannulus of rays
rays = source.subannulus(rin,rout,azwidth/rin,N,zhat=-1.)
#Transform to node position
mx = np.mean([rin,rout])
tran.transform(rays,mx,0,0,0,0,0)
#Set up finite source distance
raydist = np.sqrt(srcdist**2+rays[1]**2+rays[2]**2)
l = rays[1]/raydist
m = rays[2]/raydist
n = -np.sqrt(1.-l**2-m**2)
rays = [raydist,rays[1],rays[2],rays[3],l,m,n,rays[7],rays[8],rays[9]]
#Align perfectly to beam
#tran.steerX(rays)
tran.transform(rays,0,0,0,0,-np.mean(rays[4]),0)
#Move to SPO optical axis and trace through shells
tran.transform(rays,-mx,0,0,0,0,0)
R = np.arange(rin,rout+.605,.605)
rad = np.sqrt(rays[1]**2+rays[2]**2)
for r in R:
#Collect relevant rays
ind = np.logical_and(rad>r,rad<r+.605)
if np.sum(ind)==0:
continue
#Trace them through system
surf.spoPrimary(rays,r,12e3,ind=ind)
tran.reflect(rays,ind=ind)
surf.spoSecondary(rays,r,12e3,ind=ind)
tran.reflect(rays,ind=ind)
#Rays are now at secondary surfaces,
#Add scatter
if scatter is True:
rays[4] = rays[4] + np.random.normal(scale=15./2.35*5e-6,size=N)
rays[5] = rays[5] + np.random.normal(scale=1.5/2.35*5e-6,size=N)
rays[6] = -np.sqrt(1.-rays[5]**2-rays[4]**2)
return rays
def singleEllipse(n,misalign=np.zeros(6),srcdist=89.61e3+1.5e3,az=100.,\
returnRays=False,f=None,\
plist=[[0],[0],[0]],\
ax=100.,psi=psiE):
"""Alternative SLF finite source trace"""
#Establish subannulus of rays
r0 = conic.primrad(8426., 220., 8400.)
r1 = conic.primrad(8426. + ax, 220., 8400.)
rays = sources.subannulus(r0, r1, az / 220., n, zhat=-1.)
tran.pointTo(rays, 0., 0., srcdist, reverse=1.)
#Transform to node position
tran.transform(rays, 220, 0, 0, 0, 0, 0)
#Apply misalignment
tran.transform(rays, *misalign)
#Place mirror
tran.transform(rays, -220., 0, -8400., 0, 0, 0)
## surf.wolterprimarynode(rays,220,8400.)
surf.ellipsoidPrimaryLL(rays,220.,8400.,srcdist,psi,8426.+ax,8426.,\
az/220.,*plist)
tran.itransform(rays, -220., 0., -8400., 0, 0, 0)
#Vignette rays not landing in active mirror area
ind = np.logical_and(rays[3] > 26., rays[3] < (26. + ax))
## ind = np.logical_and(np.abs(rays[2])<az/2.,indz)
rays = tran.vignette(rays, ind=ind)
#Reverse misalignment
tran.itransform(rays, *misalign)
#Reflect and go to surface
tran.reflect(rays)
if f is None:
f = surf.focusI(rays)
else:
tran.transform(rays, 0, 0, f, 0, 0, 0)
surf.flat(rays)
#Get centroid
cx, cy = anal.centroid(rays)
if returnRays is True:
return rays
return anal.hpd(rays) / abs(f) * 180 / pi * 60**2 #,f,cx
def createWavefront(rad,num,coeff,rorder=None,aorder=None,\
slitwidth=3.,masknum=15,trans=np.zeros(2)):
"""Bounce rays off of Zernike surface. Use flat to
bring rays to a common plane, leaving the OPD as twice
the figure error of the Zernike surface.
Use subannulus so as not to waste rays in beginning
of simulation
Group rays for a given mask slit together using a
Hartmann vector. Vignette everything else.
Assume masknum slits 3 mm wide distributed evenly
over the mirror aperture
"""
#Create set of rays
r1 = conic.primrad(8500., 220., 8400.)
#Loop through Hartmann mask
maskcenters = np.linspace(-48.5 / 220., 48.5 / 220., masknum)
for i in range(masknum):
trays = sources.subannulus(220., r1, slitwidth / 220.,
round(num / masknum))
tran.transform(trays, 0, 0, 0, 0, 0, maskcenters[i])
try:
rays = [np.concatenate([rays[ti], trays[ti]]) for ti in range(10)]
mask = np.concatenate([mask, np.repeat(i, round(num / masknum))])
except:
rays = trays
mask = np.repeat(i, round(num / masknum))
tran.transform(rays, 220.3 + trans[0], trans[1], 0, 0, 0, 0)
#Reflect to Zernike surface
surf.zernsurf(rays, coeff, rad, nr=1., rorder=rorder, aorder=aorder)
tran.reflect(rays)
surf.flat(rays, nr=1.)
tran.transform(rays, -220.3, 0, 0, 0, 0, 0)
#Wavefront now has the proper Zernike form, rays pointing in
#-z direction
return rays, mask
def ellipsoidPair(N,srcdist=89.61e3+1.5e3,primalign=np.zeros(6),\
secalign=np.zeros(6),rrays=False,f=None,\
plist=[[0],[0],[0]],hlist=[[0],[0],[0]]):
"""
Trace an ellipsoid-hyperboloid telescope in SLF geometry.
plist is [pcoeff,pax,paz]
"""
#Establish subannulus of rays
r1 = conic.ellipsoidRad(srcdist, 1., 220., 8400., 8500.)
rays = sources.subannulus(220., r1, 100. / 220., N, zhat=-1.)
tran.pointTo(rays, 0, 0, srcdist, reverse=1.)
## #Transform to node position
## tran.transform(rays,220,0,0,0,0,0)
## #Set up finite source distance
## raydist = sqrt(srcdist**2+rays[1]**2+rays[2]**2)
## rays[4] = rays[1]/raydist
## rays[5] = rays[2]/raydist
## rays[6] = -sqrt(1.-rays[4]**2-rays[5]**2)
#Place mirror pair
coords = [tran.tr.identity_matrix()] * 4
prad = conic.ellipsoidRad(srcdist, 1., 220., 8400., 8450.)
tran.transform(rays,prad,0,50.,0,0,0,\
coords=coords)
tran.transform(rays, *primalign, coords=coords)
tran.transform(rays,-prad,0,-8450.,0,0,0,\
coords=coords)
surf.ellipsoidPrimaryLL(rays,220.,8400.,srcdist,1.,8500.,8400.,100./220,\
*plist)
#Vignette any rays outside of active area
rays = tran.vignette(rays,ind=np.logical_and(rays[3]<8500.,\
rays[3]>8400.))
## surf.ellipsoidPrimary(rays,220.,8400.,srcdist,1.)
tran.reflect(rays)
#Place secondary in primary's reference frame
srad = conic.ehSecRad(srcdist, 1., 220., 8400., 8350.)
tran.transform(rays,srad,0,8350.,0,0,0,\
coords=coords)
tran.transform(rays, *secalign, coords=coords)
tran.itransform(rays,srad,0,8350.,0,0,0,\
coords=coords)
## surf.ellipsoidSecondary(rays,220.,8400.,srcdist,1.)
surf.ellipsoidSecondaryLL(rays,220.,8400.,srcdist,1.,8400.,8300.,100./220,\
*hlist)
rays = tran.vignette(rays,ind=np.logical_and(rays[3]<8400.,\
rays[3]>8300.))
ang = anal.grazeAngle(rays)
tran.reflect(rays)
#Go back to nominal node reference frame and down to focus
rays = tran.applyT(rays, coords, inverse=True)
if f is None:
f = -surf.focusI(rays)
print f
else:
tran.transform(rays, 0, 0, -f, 0, 0, 0)
surf.flat(rays)
if rrays is True:
return rays
return anal.hpd(rays) / f * 180 / np.pi * 60.**2
def traceSPO(R,L,focVec,N,M,spanv,wave,d=.605,t=.775,offX=0.,offY=0.,\
vis=None,ang=None,coords=None):
"""Trace SPO surfaces sequentially. Collect rays from
each SPO shell and set them to the PT rays at the end.
Start at the inner radius, use the wafer and pore thicknesses
to vignette and compute the next radius, loop while
radius is less than Rout.
"""
#Ray bookkeeping arrays
trays = [np.zeros(M * N) for n in range(10)]
if vis is True:
xp, yp, zp = [], [], []
xs, ys, zs = [], [], []
#Loop through shell radii and collect rays
ref = np.zeros(M * N)
for i in range(M):
#Set up source annulus
rays = sources.subannulus(R[i], R[i] + d, spanv[i], N, zhat=-1.)
z, n = rays[3], rays[6]
## #Transform rays to be above xy plane
## tran.transform(rays,0,0,-100.,0,0,0,coords=coords)
#Apply angular offset
tran.transform(rays, 0, 0, 0, 0, 0, ang)
#Get initial positions
glob = None
if vis is True:
#Initial ray positions
x0, y0, z0 = np.copy(rays[1]), np.copy(rays[2]), np.copy(rays[3])
##
## #Establish 3d figure
## fig = plt.figure('vis')
## ax = fig.add_subplot(111,projection='3d')
#Trace to primary
surf.spoPrimary(rays, R[i], focVec[i])
#Export primary ray positions in global reference frame
if vis is True:
tran.transform(rays, 0, 0, -focVec[i], 0, 0, 0)
xp = np.concatenate((xp, rays[1]))
yp = np.concatenate((yp, rays[2]))
zp = np.concatenate((zp, rays[3]))
tran.transform(rays, 0, 0, focVec[i], 0, 0, 0)
#Add offsets if they apply
rays = [rays[0],rays[1],rays[2],rays[3],\
rays[4]+offX,rays[5]+offY,\
-np.sqrt(rays[6]**2-offX**2-offY**2),\
rays[7],rays[8],rays[9]]
tran.reflect(rays)
#Compute reflectivity
inc = anal.grazeAngle(rays) #np.arcsin(l*ux+m*uy+n*uz)
if np.size(wave) == 1:
refl = sporef(inc * 180 / np.pi, 1239.8 / wave)
else:
refl = np.diag(
sporef(inc * 180 / np.pi, 1239.8 / wave[i * N:(i + 1) * N]))
#Trace to secondary
surf.spoSecondary(rays, R[i], focVec[i])
tran.reflect(rays)
#Compute reflectivity
inc = anal.grazeAngle(rays) #inc = np.arcsin(l*ux+m*uy+n*uz)
if np.size(wave) == 1:
ref[i*N:(i+1)*N] = refl * sporef(inc*180/np.pi\
,1239.8/wave)
else:
ref[i*N:(i+1)*N] = refl * np.diag(sporef(inc*180/np.pi\
,1239.8/wave[i*N:(i+1)*N]))
#Set plane to be at focus
tran.transform(rays, 0, 0, -focVec[i], 0, 0, 0, coords=coords)
#Collect rays
try:
for t in range(1, 7):
temp = trays[t]
temp[i * N:(i + 1) * N] = rays[t]
except:
pdb.set_trace()
#Export secondary ray positions in global coordinate frame
if vis is True:
return trays, ref, [xp, yp, zp], [trays[1], trays[2], trays[3]]
return trays, ref
def reproduceChevron(num,rin=220.,axlength=100.,azwidth=50.,F=8.4e3,\
hubdist=8e3,radapprox=False,order=1,wave=.83,f=None,\
autofocus=False,returnMet=False,yaw=0.,N=1,\
gratalign=np.zeros(6)):
#Create Wolter beam
rout = conic.primrad(F+axlength,rin,F)
rays = source.subannulus(rin,rout,azwidth/rin,num,zhat=-1.)
surf.wolterprimary(rays,rin,F)
tran.reflect(rays)
surf.woltersecondary(rays,rin,F)
tran.reflect(rays)
tran.transform(rays,0,0,0,0,0,np.pi/2)
#Go to focus
surf.focusI(rays)
#Steer beam
coords = [tran.tr.identity_matrix()]*4
tran.transform(rays,0,0,0,np.mean(rays[5]),-np.mean(rays[4]),0)
pdb.set_trace()
#Go up to grating
tran.transform(rays,0,0,hubdist/np.cos(1.5*np.pi/180),0,0,0)
#Go to incidence angle
tran.transform(rays,0,0,0,91.5*np.pi/180,0,0)
tran.transform(rays,0,0,0,0,0,yaw)
#Apply grating misalignment
tran.transform(rays,*gratalign)
surf.flat(rays)
#Get rid of rays outside grating
ind = np.logical_and(np.abs(rays[2])<16,np.abs(rays[1])<25/2.)
rays = tran.vignette(rays,ind=ind)
plt.figure('grat')
plt.clf()
plt.plot(rays[1],rays[2],'.')
plt.title('Beam Footprint')
#Place grating
if radapprox is False:
tran.reflect(rays)
tran.transform(rays,0,-hubdist,0,0,0,0)
tran.radgrat(rays,160./hubdist,order,wave)
tran.transform(rays,0,hubdist,0,0,0,0)
else:
tran.reflect(rays)
gratedges = np.linspace(-16.,16.,N+1)
for i in range(N):
ind = np.logical_and(rays[2]>gratedges[i],\
rays[2]<gratedges[i+1])
d = (hubdist+np.mean(gratedges[i:i+2]))/hubdist*160.
if np.sum(ind)>0:
tran.grat(rays,d,-order,wave,ind=ind)
#Go to focal plane
tran.transform(rays,*gratalign)
tran.transform(rays,0,0,0,0,0,-yaw)
tran.transform(rays,0,0,0,-91.5*np.pi/180.,0,0)
tran.transform(rays,0,0,0,0,0,np.pi/2)
if f is not None:
try:
tran.transform(rays,0,0,-f,0,0,0)
surf.flat(rays)
except:
pdb.set_trace()
if autofocus is True:
surf.focusY(rays)
if returnMet is True:
return anal.hpdY(rays)/F*180/np.pi*60**2
plt.figure('LSF')
plt.clf()
plt.plot(rays[1],rays[2],'.')
plt.title('LSF')
return rays