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 placeWolterPair(rays, misalign=np.zeros(6)):
"""
Place the X-ray test mirror pair in the beam path.
Assume rays are at XY plane with -z mean direction
Nominal position of intersection plane is 1.5 m
past chamber entrance with mirror optical axis
coincident with chamber optical axis.
Can supply misalignment about X=0,Y=0 in intersection plane.
"""
#Go to nominal intersection plane
tran.transform(rays, 0, 0, -1500., 0, 0, 0)
#Apply misalignments
tran.transform(rays, *misalign)
#Go to focus and place primary
tran.transform(rays, 0, 0, -8400, 0, 0, 0)
pdb.set_trace()
surf.wolterprimary(rays, 220., 8400.)
tran.reflect(rays)
pdb.set_trace()
#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
pdb.set_trace()
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 nominal intersection plane
tran.transform(rays, 0, 0, 8400, 0, 0, 0)
tran.itransform(rays, *misalign)
return rays
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 sourceAlignment(dx, dy, dz):
"""
Set up a trace of rays from the fiber source to
the OAP. Determine wavefront error of collimated
beam.
"""
#Source
rays = sources.circularbeam(125. / 4, 10000)
tran.pointTo(rays, dx, dy, -775. / 2 + dz, reverse=1)
rays[0] = np.sqrt((rays[1] + dx)**2 + (rays[2] + dy)**2 +
(775. / 2 + dz)**2)
pdb.set_trace()
#Go to focus
tran.transform(rays, 0, 0, 0, np.pi / 2, 0, 0)
tran.transform(rays, 0, -775. / 2, -775. / 2, 0, 0, 0)
#Trace to parabola
surf.conic(rays, 775., -1., nr=1.)
tran.reflect(rays)
#Restrict to 5" diameter
## ind = np.logical_and(rays[3]>387.5-62.5,rays[3]<387.5+62.5)
## tran.vignette(rays,ind=ind)
#Reflect
## for i in range(7,10):
## rays[i] = -rays[i]
tran.transform(rays, 0, 0, 775. / 2, 0, 0, 0)
surf.flat(rays, nr=1.)
pdb.set_trace()
#Get OPD
opd, dx0, dy0 = anal.interpolateVec(rays, 0, 200, 200)
opd = man.remove2DLeg(opd, xo=1, yo=0)
opd = man.remove2DLeg(opd, xo=0, yo=1)
pv = ana.ptov(opd)
plt.figure('OPD')
plt.imshow(opd)
plt.colorbar()
wavesl = np.gradient(opd, dx0)
resy = fit.legendre2d(wavesl[0], xo=2, yo=2)
resx = fit.legendre2d(wavesl[1], xo=2, yo=2)
resy[0][np.isnan(opd)] = np.nan
resx[0][np.isnan(opd)] = np.nan
plt.figure('Y')
plt.imshow(resy[0] * 180 / np.pi * 60**2)
plt.colorbar()
plt.figure('X')
plt.imshow(resx[0] * 180 / np.pi * 60**2)
plt.colorbar()
return pv * 1e6
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 traceThroughPrimary(rays,mask,primalign=np.zeros(6),\
detalign=np.zeros(6),primCoeffs=None,cenSig=0.):
"""
Trace rays through the primary mirror and then down to a focus.
Need to simulate an initial misalignment and then applying
an optimization algorithm to align primary to beam.
Merit function should include the random error in spot centroiding
primCoeffs is a list of coefficients, axial orders, and azimuthal orders
Use global coordinate systems to determine sign conventions
"""
#Move to primary reference frame - rays 200 mm above node
tran.transform(rays, 0, 0, -200., 0, 0, 0)
glo = [tran.tr.identity_matrix()] * 4
#Move to mirror tangent point and apply misalignment
tran.transform(rays,
conic.primrad(8450., 220., 8400.),
0,
50,
0,
0,
0,
coords=glo)
tran.transform(rays, 0, 0, 0, *primalign[3:], coords=glo)
tran.itransform(rays,
conic.primrad(8450., 220., 8400.),
0,
50,
0,
0,
0,
coords=glo)
tran.transform(rays, 0, 0, -8400., 0, 0, 0, coords=glo)
#Trace to Wolter surface
if primCoeffs is None:
surf.wolterprimary(rays, 220., 8400.)
else:
surf.primaryLL(rays,220.,8400.,8500.,8400.,100./220.,\
*primCoeffs)
rays = tran.applyT(rays, glo, inverse=True)
#Rays are now at primary in global coordinate system
#(origin on optical axis and at nominal node height)
#Now reflect and trace down to the detector
tran.reflect(rays)
tran.transform(rays, 0, 0, -conic.primfocus(220., 8400.), 0, 0, 0)
#Apply detector misalignment
tran.transform(rays, *detalign)
surf.flat(rays)
#Pick out spot centroids
cen = [anal.centroid(rays, weights=mask == i) for i in range(mask[-1] + 1)]
cen = np.transpose(np.array(cen))
#Add centroiding error
if cenSig > 0:
cen = cen + np.random.normal(scale=cenSig, size=np.shape(cen))
return cen
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 placeSPO(rays):
"""Place an SPO pair, presuming you are already at the intersection
node
"""
#Place primary
surf.spoPrimary(rays, 737., 12.e3)
tran.reflect(rays)
#Place secondary
surf.spoSecondary(rays, 737., 12.e3)
tran.reflect(rays)
return
def findGratingPosition(N, hubdist=11832.911, order=1, wave=4.4, disp=0.):
"""Place the SPO pair, find the focus, and then go back
up to grating placement
"""
#Set up SPO
rays = traceSource(N)
placeSPO(rays)
#SPO intersection plane is global coordinate system
#Go to focus
gratc = [tran.tr.identity_matrix()] * 4
surf.focusI(rays, coords=gratc)
#Go back up to grating point
tran.transform(rays,
0,
0,
np.mean(-11828.856 * rays[6]),
0,
0,
0,
coords=gratc)
surf.flat(rays)
#Place grating
#Get to XY centroid of beam, now at center of grating
tran.transform(rays, np.mean(rays[1]), 0, 0, 0, 0, 0, coords=gratc)
gratc2 = np.copy(gratc)
#Rotate to proper incidence angle
tran.steerX(rays, coords=gratc2)
tran.transform(rays, 0, 0, 0, 0, pi / 2 - 1.5 * pi / 180, 0, coords=gratc2)
surf.flat(rays)
tran.transform(rays, 0, 0, 0, 0, 0, pi / 2, coords=gratc2)
#Go to hub and diffract
#Add yaw
yaw = grat.blazeYaw(1.5 * pi / 180, 2.4, 3, 160.)
tran.transform(rays, 0, 0, 0, 0, 0, yaw, coords=gratc2)
tran.transform(rays, 0, -hubdist + disp, 0, 0, 0, 0, coords=gratc2)
tran.reflect(rays)
tran.radgrat(rays, 160. / hubdist, order, wave)
pdb.set_trace()
#Go back to reference frame of grating
rays = tran.applyT(rays, gratc2, inverse=True) #Back to global
#rays = tran.applyT(rays,gratc) #forward to grating
#Go to focus
focusc = [tran.tr.identity_matrix()] * 4
surf.focusY(rays, coords=focusc)
#Get rid of mean X and Y
tran.transform(rays,np.mean(rays[1]),np.mean(rays[2]),0,0,0,0,\
coords=focusc)
return rays,[gratc[1][i][-1] for i in range(3)],\
[focusc[1][i][-1] for i in range(3)]
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 testRadApprox(num,order=1,wave=1.,radapprox=False,N=3,f=None,yaw=0.,\
azwidth=66.*.68,autofocus=False,returnMet=False,axwidth=2.5):
"""
"""
#Set up converging source
rays = source.convergingbeam2(12e3,-azwidth/2,azwidth/2,\
-axwidth/2,axwidth/2,num,0.)
tran.transform(rays,0,0,12e3,0,0,0)
tran.transform(rays,0,0,0,88.5*np.pi/180.,0,0)
tran.transform(rays,0,0,0,0,0,yaw)
surf.flat(rays)
#Place grating
if radapprox is False:
tran.reflect(rays)
tran.transform(rays,0,-12e3,0,0,0,0)
tran.radgrat(rays,160./12e3,order,wave)
tran.transform(rays,0,12e3,0,0,0,0)
tran.transform(rays,0,0,0,0,0,-yaw)
else:
tran.reflect(rays)
gratedges = np.linspace(-50.,50.,N+1)
for i in range(N):
ind = np.logical_and(rays[2]>gratedges[i],\
rays[2]<gratedges[i+1])
d = (12e3+np.mean(gratedges[i:i+2]))/12e3*160.
if np.sum(ind)>0:
tran.grat(rays,d,-order,wave,ind=ind)
tran.transform(rays,0,0,0,0,0,-yaw)
#Go to focal plane
tran.transform(rays,0,0,0,-88.5*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)/12e3*180/np.pi*60**2
return rays
def createWavefront(rad, num, coeff, rorder=None, aorder=None):
"""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.
"""
#Create set of rays
rays = sources.circularbeam(rad, num)
#Reflect to Zernike surface
surf.zernsurf(rays, coeff, rad, nr=1., rorder=rorder, aorder=aorder)
tran.reflect(rays)
tran.transform(rays, 0, 0, 0, np.pi, 0, 0)
surf.flat(rays, nr=1.)
#Wavefront now has the proper Zernike form, rays pointing in
#+z direction
return rays
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 perfectCyl(rays, align=np.zeros(6)):
"""
Trace rays from perfect cylinder with potential misalignment
Assume rays are traced to tangent plane of nominal optic position
+z points back toward CGH
Leave with reference frame at tangent plane of nominal surface
"""
#Apply misalignment
tran.transform(rays, *align)
#Trace cylinder
tran.transform(rays, 0, 0, 220., 0, 0, 0)
#Get cylindrical axis in +x direction
tran.transform(rays, 0, 0, 0, 0, 0, pi / 2)
surf.cyl(rays, 220., nr=1.)
tran.reflect(rays)
tran.itransform(rays, 0, 0, 0, 0, 0, pi / 2)
tran.itransform(rays, 0, 0, 220., 0, 0, 0)
#Go back to nominal tangent plane
tran.itransform(rays, *align)
surf.flat(rays, nr=1.)
return
def alignTrace(inc,impact,grating,detector,order=0):
"""Traces UV laser rays to grating. Beam impact misalignment
is handled with a single coordinate transformations right after
source definition. Grating orientation is handled with
symmetric coordinate transformations.
inc - nominal beam glancing angle, must be less than
50.39 deg for 262 nm light
impact - 6 element array giving beam impact transform
grating - 6 element array giving grating misalignment
"""
#Set up source with single ray, diffraction plane
#is XZ, glancing angle from XY plane, ray starts out
#pointing +x and -z
rays = sources.pointsource(0.,1)
tran.transform(rays,0,0,0,0,-np.pi/2-inc,0)
#Perform beam impact misalignment transform, rotation first
tran.transform(rays,*np.concatenate(((0,0,0),impact[3:])))
tran.transform(rays,*np.concatenate((impact[:3],(0,0,0))))
#Perform grating misalignment
tran.transform(rays,*grating)
#Linear grating
surf.flat(rays)
tran.reflect(rays)
tran.grat(rays,160.,order,262.)
#Reverse misalignment transformation
tran.itransform(rays,*grating)
#Go to detector depending on order
if order is not 0:
tran.transform(rays,-200.,0,0,0,0,0)
else:
tran.transform(rays,200.,0,0,0,0,0)
#Trace to detector
tran.transform(rays,0,0,0,0,-np.pi/2,0)
tran.transform(rays,*detector)
surf.flat(rays)
#Return ray position
return rays[1],rays[2]
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 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 traceOPG(rays,hubdist=11832.911,yaw=0.,order=1,wave=1.,ang=2.5/11832.911,\
gpitch=0.,gyaw=0.,groll=0.,\
radapprox=False):
"""
Trace the OPG module. Probably ignore vignetting again.
Place perfect OPG surfaces at the correct angular distance
to make this a reasonable approximation.
Assume reference frame is in center of module with -z
pointing toward hub - achieved with steerX/steerY and
rotate inc before this function call
Create vector to keep track of which grating each ray
diffracts from. Separate LSFs can be identified using
this vector.
"""
#Establish starting coordinate system
coords = [tran.tr.identity_matrix()]*4
#Get -x pointing to hub
#Question whether to rotate about z to swap x and y
tran.transform(rays,0,0,0,0,0,-pi/2,coords=coords)
tran.transform(rays,0,0,0,pi/2,0,0,coords=coords)
#Go to hub, then rotate to extreme grating surface
tran.transform(rays,0,0,0,0,0,yaw,coords=coords) #possible blaze
tran.transform(rays,0,-11832.911,0,0,0,0,coords=coords)
tran.transform(rays,0,0,0,-ang*7,0,0,coords=coords) #minus sign ambiguity
#Loop through gratings, tracing rays
left = np.repeat(True,len(rays[1]))
record = np.zeros(len(rays[1]))
for i in range(15):
#If no rays left, we are done
if np.sum(left) == 0:
continue
#Rays with small incidence angle removed
indg = np.abs(np.arcsin(rays[6])) > .001
ind = np.logical_and(left,indg)
if np.sum(ind)==0:
tran.transform(rays,0,0,0,ang,0,0,coords=coords)
continue
#Trace rays to surface
tyaw = np.random.uniform(low=-gyaw,high=gyaw)
tpitch = np.random.uniform(low=-gpitch,high=gpitch)
troll = np.random.uniform(low=-groll,high=groll)
tran.transform(rays,0,11832.911,0,0,0,0,ind=ind)
tran.transform(rays,0,0,0,tpitch,troll,tyaw,ind=ind)
surf.flat(rays,ind=ind)
tran.itransform(rays,0,0,0,tpitch,troll,tyaw,ind=ind)
tran.itransform(rays,0,11832.911,0,0,0,0,ind=ind)
#Identify relevant rays
ind = np.logical_and(rays[2]>11832.911-96./2,rays[2]<11832.911+96./2)
ind = np.logical_and(ind,left)
#Remove these rays from the set that remain
left = np.logical_and(left,np.invert(ind))
if np.sum(ind)==0:
tran.transform(rays,0,0,0,ang,0,0,coords=coords)
continue
#Record which grating these rays diffracted from
record[ind] = i+1
#Diffract this set of rays
tran.reflect(rays,ind=ind)
tran.transform(rays,0,11832.911-hubdist,0,0,0,0,coords=coords)
if radapprox is False:
tran.radgrat(rays,160./hubdist,order,wave,ind=ind)
else:
ind3 = np.logical_and(rays[2]<11832.911+48.,\
rays[2]>11832.911+48-9.282)
ind4 = np.logical_and(ind3,ind)
if np.sum(ind4)>0:
tran.grat(rays,160.,order,wave,ind=ind4)
ind3 = np.logical_and(rays[2]<11832.911+48.-9.282,\
rays[2]>11832.911+48-9.282-18.564)
ind4 = np.logical_and(ind3,ind)
if np.sum(ind4)>0:
tran.grat(rays,159.75,order,wave,ind=ind4)
ind3 = np.logical_and(rays[2]<11832.911+48.-9.282-18.564,\
rays[2]>11832.911+48-9.282-18.564*2)
ind4 = np.logical_and(ind3,ind)
if np.sum(ind4)>0:
tran.grat(rays,159.5,order,wave,ind=ind4)
ind3 = np.logical_and(rays[2]<11832.911+48.-9.282-18.564*2,\
rays[2]>11832.911+48-9.282-18.564*3)
ind4 = np.logical_and(ind3,ind)
if np.sum(ind4)>0:
tran.grat(rays,159.25,order,wave,ind=ind4)
ind3 = np.logical_and(rays[2]<11832.911+48.-9.282-18.564*3,\
rays[2]>11832.911+48-9.282-18.564*4)
ind4 = np.logical_and(ind3,ind)
if np.sum(ind4)>0:
tran.grat(rays,159.,order,wave,ind=ind4)
ind3 = np.logical_and(rays[2]<11832.911+48.-9.282-18.564*4,\
rays[2]>11832.911+48-9.282-18.564*4-12.462)
ind4 = np.logical_and(ind3,ind)
if np.sum(ind4)>0:
tran.grat(rays,158.75,order,wave,ind=ind4)
#pdb.set_trace()
tran.transform(rays,0,hubdist-11832.911,0,0,0,0,coords=coords)
#Rotate to next grating
tran.transform(rays,0,0,0,ang,0,0,coords=coords)
#Go back to original coordinate system
rays = tran.applyT(rays,coords,inverse=True)
return rays,record
def gratArray(rays,outerrad,hubdist,angle,inc,l=95.,bestFocus=None,\
weights=None,order=0,blazeYaw=0.,wave=1.,offX=0.,\
coords=None,vis=False):
"""Trace rays leaving SPO petal to the fanned grating array.
Start with outermost radius and rotate grating array about
the hub. Define outermost grating position by max ray radius
at desired axial height.
Rays have been traced to bottom of outermost grating.
"""
#Visualization bookkeeping
xg, yg, zg = [np.zeros(len(rays[1]))] * 3
x, y = rays[1:3]
#Dummy rays to ensure return of reference frame
## rays2 = sources.subannulus(220.,223.,10.*pi/180,100)
#Put origin at bottom of outermost grating
tran.transform(rays, outerrad, 0, 0, 0, 0, 0, coords=coords)
## PT.transform(rays2,outerrad,0,0,0,0,0)
#Go to proper incidence angle of grating
tran.transform(rays, 0, 0, 0, 0, 0, -pi / 2, coords=coords)
tran.transform(rays, 0, 0, 0, -pi / 2 - angle + inc, 0, 0, coords=coords)
## PT.transform(rays2,0,0,0,0,0,-pi/2)
## PT.transform(rays2,0,0,0,-pi/2-angle+inc,0,0)
#Go to hub
tran.transform(rays, 0, 0, 0, 0, 0, blazeYaw, coords=coords) #Put in blaze
tran.transform(rays, 0, hubdist, 0, 0, 0, 0, coords=coords)
## PT.transform(rays2,0,0,0,0,0,blazeYaw) #Put in blaze
## PT.transform(rays2,0,hubdist,0,0,0,0)
#Trace out gratings until no rays hit a grating
#Flat
#Indices
#Reflect
#Apply Grating
#Next
#Edit to only flat rays with a substantial incidence angle
indg = np.abs(np.arcsin(rays[6])) > .001
surf.flat(rays, ind=indg)
rho = -sqrt(x**2 + y**2) * np.sign(y)
ind = np.logical_and(rho > hubdist, rho < l + hubdist)
## pdb.set_trace()
ind2 = np.copy(ind)
#offx subtracted to prevent numerical vignetting...this
#is accounted for with numerical factors, so don't want
#any rays to be missed
ang = l * sin(inc - offX) / hubdist * .95
i = 0
prev = np.copy(ind)
#Loop condition needs to be rays not diffracted > 0
while np.sum(prev) < len(rays[1]):
i = i + 1
if np.sum(ind2) > 0:
tran.reflect(rays, ind=ind2)
tran.radgrat(rays, 160. / hubdist, order, wave, ind=ind2)
tran.transform(rays, 0, 0, 0, ang, 0, 0, coords=coords)
## PT.transform(rays2,0,0,0,ang,0,0)
indg = np.abs(np.arcsin(rays[6])) > .001
indg = np.logical_and(np.invert(prev), indg)
surf.flat(rays, ind=indg)
## pdb.set_trace()
#Determine rays hitting new grating
rho = -sqrt(x**2 + y**2) * np.sign(y)
ind = np.logical_and(rho > hubdist, rho < l + hubdist)
ind2 = np.logical_and(np.invert(prev), ind) #Remove previous rays
prev = np.logical_or(prev, ind) #Add rays hitting new grating
#sys.stdout.write('%i \r' % i)
#sys.stdout.flush()
tran.reflect(rays, ind=ind2)
tran.radgrat(rays, 160. / hubdist, order, wave, ind=ind2)
## #Go to focal plane
## PT.transform(rays,0,-hubdist,0,0,0,0)
## PT.transform(rays,0,0,0,0,0,-blazeYaw) #Reverse blaze
## #Currently at bottom point of innermost grating
## pdb.set_trace()
if vis is True:
#Get hub position
hub = tran.applyTPos(0, 0, 0, coords, inverse=True)
pyfits.writeto('HubPos.fits', np.array(hub), clobber=True)
#Get back to original outermost grating reference frame
tran.transform(rays, 0, 0, 0, -ang * i, 0, 0, coords=coords)
tran.transform(rays, 0, -hubdist, 0, 0, 0, 0, coords=coords)
tran.transform(rays, 0, 0, 0, 0, 0, -blazeYaw, coords=coords)
tran.transform(rays, 0, 0, 0, pi / 2 + angle - inc, 0, 0, coords=coords)
tran.transform(rays, 0, 0, 0, 0, 0, pi / 2, coords=coords)
tran.transform(rays, -outerrad, 0, 0, 0, 0, 0, coords=coords)
## PT.transform(rays2,0,0,0,-ang*i,0,0)
## PT.transform(rays2,0,-hubdist,0,0,0,0)
## PT.transform(rays2,0,0,0,0,0,-blazeYaw)
## PT.transform(rays2,0,0,0,pi/2+angle-inc,0,0)
## PT.transform(rays2,0,0,0,0,0,pi/2)
## PT.transform(rays2,-outerrad,0,0,0,0,0)
#Export grating ray positions
if vis is True:
rays2 = tran.applyT(rays, coords, inverse=True)
pyfits.writeto('GratingPos.fits',\
np.array([rays2[1],rays2[2],rays2[3]]),\
clobber=True)
pdb.set_trace()
#Should be there
surf.flat(rays)
## PT.transform(rays,0,hubdist,0,0,0,0)
## PT.transform(rays,0,0,0,-ang*i+pi/2+angle-inc,0,0)
## PT.transform(rays,0,0,0,0,0,pi/2)
## PT.flat(rays)
#Find focus
if bestFocus is None:
return surf.focusY(rays, weights=weights)
##
## #Focus already found, tracing diffracted line
## PT.transform(rays,0,0,bestFocus,0,0,0)
## PT.flat(rays)
return None
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
def traceWedge(rays, t=25., wang=1. * np.pi / 180, pang=45. * np.pi / 180):
"""
Make two copies of rays and trace through a wedged plate.
Ignore multiple reflections.
Interpolate one OPD onto the other, take difference
modulo wavelength
t = plate thickness (at narrow end)
ang = wedge angle
"""
#Make copy
rays2 = np.copy(rays)
#Trace first set
ref1 = [tran.tr.identity_matrix()] * 4
pdb.set_trace()
tran.transform(rays, 0, 0, 300., pang, 0, 0, coords=ref1)
surf.flat(rays, nr=1.)
tran.reflect(rays)
tran.transform(rays, 0, 0, 0, np.pi / 2 - pang, 0, 0, coords=ref1)
tran.transform(rays, 0, 0, -300., 0, 0, 0, coords=ref1)
## tran.steerY(rays,coords=ref1)
surf.flat(rays, nr=1.)
#Trace second set
ref2 = [tran.tr.identity_matrix()] * 4
pdb.set_trace()
tran.transform(rays2, 0, 0, 300., pang, 0, 0, coords=ref2)
surf.flat(rays2, nr=1.)
#Refract into glass and reflect
tran.refract(rays2, 1., nSiO2)
tran.transform(rays2, 0, 0, t, 0, wang, 0, coords=ref2)
surf.flat(rays2, nr=nSiO2)
tran.reflect(rays2)
#Refract out of glass
## tran.itransform(rays2,0,0,t,wang,0,0,coords=ref2)
tran.transform(rays2, 0, 0, 0, 0, -wang, 0, coords=ref2)
tran.transform(rays2, 0, 0, -t, 0, 0, 0, coords=ref2)
surf.flat(rays2, nr=nSiO2)
tran.refract(rays2, nSiO2, 1.)
#Go to focal plane
rays2 = tran.applyT(rays2, ref2, inverse=True)
rays2 = tran.applyT(rays2, ref1)
surf.flat(rays2, nr=1.)
#Both sets of rays at same plane, should have shear and tilt
#Interpolate OPDs onto common grid
opd1,dx,dy = anal.interpolateVec(rays,0,200,200,\
xr=[rays[1].min(),rays[1].max()],\
yr=[rays2[2].min(),rays[2].max()])
opd2 = anal.interpolateVec(rays2,0,200,200,\
xr=[rays[1].min(),rays[1].max()],\
yr=[rays2[2].min(),rays[2].max()])[0]
#Convert to complex phase
opd1 = opd1 / .000635 * 2 * np.pi % (2 * np.pi)
opd2 = opd2 / .000635 * 2 * np.pi % (2 * np.pi)
opd1 = np.exp(1j * opd1)
opd2 = np.exp(1j * opd2)
#Compute intensity/interferogram
return np.abs(opd1 + opd2)**2
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
