def alignTolerances(num,azwidth=60.,axwidth=60.,f=None,catalign=np.zeros(6),\ returnrays=False): """ Set up perfect beam and insert CAT grating Mess with alignment and measure spot shift at focus """ #Set up converging beam rays = sources.convergingbeam2(12e3,-azwidth/2.,azwidth/2.,\ -axwidth/2.,axwidth/2.,num,0.) tran.transform(rays, 0, 0, 0, np.pi, 0, 0) tran.transform(rays, 0, 0, 12e3, 0, 0, 0) #Place CAT grating tran.transform(rays, *catalign) surf.flat(rays) tran.grat(rays, 200., 8, 1.) tran.itransform(rays, *catalign) #Go to focus if f is not None: try: tran.transform(rays, 0, 0, f, 0, 0, 0) surf.flat(rays) except: pdb.set_trace() cx, cy = anal.centroid(rays) if returnrays is True: return rays return cx, cy
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 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 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 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 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 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 traceToTestOptic1m(N, app=75., coloffset=0., cghalign=np.zeros(6)): """Trace a set of rays from the point source to the nominal test optic location Return the rays at the plane tangent to the nominal source position. """ #Set up source div = app / 1935.033 rays = sources.pointsource(div, N) #Trace through collimator tran.transform(rays, 0, 0, 1935.033 + coloffset, 0, 0, 0) surf.flat(rays, nr=1.) lenses.collimator6(rays) ## tran.transform(rays,0,0,-coloffset,0,0,0) #Trace to CGH tran.transform(rays, 0, 0, 100., 0, 0, 0) #Apply proper CGH misalignment tran.transform(rays, 0, 0, 0, -10. * pi / 180, 0, 0) #Apply CGH misalignment tran.transform(rays, *cghalign) #Trace through CGH surf.flat(rays, nr=1.) tran.refract(rays, 1., nsil) tran.transform(rays, 0, 0, 6.35, 0, 0, 0) surf.flat(rays, nr=nsil) tran.refract(rays, nsil, 1.) surf.zernphase(rays, -cgh1m, 80., 632.82e-6) #Reverse CGH misalignment tran.itransform(rays, *cghalign) #Go to line focus line = surf.focusY(rays, nr=1.) #Go to test optic tran.transform(rays, 0, 0, 1000., 0, 0, 0) surf.flat(rays, nr=1.) #Go to 1m cylindrical radius of curvature px, py = anal.measurePower(rays, 200, 200) tran.transform(rays, 0, 0, 1000 + py, 0, 0, 0) surf.flat(rays, nr=1.) return rays, line
def traceToTestOptic220(N, app=75.): """Trace a set of rays from the point source to the nominal test optic location Return the rays at the plane tangent to the nominal source position. """ #Set up source div = app / 1935.033 rays = sources.pointsource(div, N) #Trace through collimator tran.transform(rays, 0, 0, 1935.033, 0, 0, 0) surf.flat(rays, nr=1.) lenses.collimator6(rays) #Trace to CGH tran.transform(rays, 0, 0, 100., 0, 0, 0) #Apply proper CGH misalignment pdb.set_trace() tran.transform(rays, 0, 0, 0, -1. * pi / 180, 0, 0) #Trace through CGH surf.flat(rays, nr=1.) tran.refract(rays, 1., nsil) tran.transform(rays, 0, 0, 6.35, 0, 0, 0) surf.flat(rays, nr=nsil) tran.refract(rays, nsil, 1.) surf.zernphase(rays, cghcoeff, 80., 632.82e-6) #Reverse CGH misalignment tran.itransform(rays, 0, 0, 0, -1. * pi / 180, 0, 0) #Go to line focus tran.transform(rays, 0, 0, 0, 0, 1. * pi / 180, 0) surf.flat(rays, nr=1.) tran.transform(rays, 0, 0, line, 0, 0, 0) surf.flat(rays, nr=1.) #Go to test optic tran.transform(rays, 0, 0, 220., 0, 0, 0) surf.flat(rays, nr=1.) #Rotate reference frame so rays impinge toward -z tran.transform(rays, 0, 0, 0, 0, pi, 0) return rays
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 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 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 backToWFS1m(rays, cghalign=np.zeros(6)): """ Trace rays from nominal test optic tangent plane back to WFS plane. This function can also be used with a point source to determine the Optimal focus positions of the field lenses. +z points toward CGH. """ #Reverse x,z misalignments for i in [0, 2, 3, 5]: cghalign[i] = -cghalign[i] #Back to CGH tran.transform(rays, 0, 0, 1000 + line1m, 0, 0, 0) surf.flat(rays, nr=1.) #Trace back through CGH tran.transform(rays, *cghalign) surf.zernphase(rays, -cgh1m, 80., 632.82e-6) tran.refract(rays, 1., nsil) tran.transform(rays, 0, 0, 6.35, 0, 0, 0) surf.flat(rays, nr=nsil) tran.refract(rays, nsil, 1.) tran.itransform(rays, *cghalign) tran.transform(rays, 0, 0, 0, -10. * pi / 180, 0, 0) #Go to collimator tran.transform(rays, 0, 0, 100, 0, 0, 0) surf.flat(rays, nr=1.) lenses.collimator6(rays, reverse=True) #Go to focus tran.transform(rays, 0, 0, 1934.90059 - 100., 0, 0, 0) surf.flat(rays, nr=1.) #Place to AC-508-250 lenses.AC508_250(rays, reverse=True) #Go to WFS location ## tran.transform(rays,0,0,foc,0,0,0) ## surf.flat(rays,nr=.1) tran.transform(rays, 0, 0, foc1m, 0, 0, 0) #Go to cylindrical field lens tran.transform(rays, 0, 0, -cylz1m, 0, 0, 0) surf.flat(rays, nr=1.) tran.transform(rays, 0, 0, 0, 0, 0, pi / 2) lenses.LJ1144_L2(rays, reverse=False) tran.itransform(rays, 0, 0, 0, 0, 0, pi / 2) tran.itransform(rays, 0, 0, -cylz1m, 0, 0, 0) #Back to WFS surf.flat(rays, nr=1.) return anal.rmsY(rays)
def backToWFS220(rays): """ Trace rays from nominal test optic tangent plane back to WFS plane. This function can also be used with a point source to determine the Optimal focus positions of the field lenses. +z points toward CGH. """ #Back to CGH tran.transform(rays, 0, 0, 220 + line, 0, 0, 0) surf.flat(rays, nr=1.) #Trace back through CGH tran.transform(rays, 0, 0, 0, 0, 1. * pi / 180, 0) tran.transform(rays, 0, 0, 0, 1. * pi / 180, 0, 0) surf.flat(rays, nr=1.) surf.zernphase(rays, cghcoeff, 80., 632.82e-6) tran.refract(rays, 1., nsil) tran.transform(rays, 0, 0, 6.35, 0, 0, 0) surf.flat(rays, nr=nsil) tran.refract(rays, nsil, 1.) tran.itransform(rays, 0, 0, 0, 1. * pi / 180, 0, 0) #Go to collimator tran.transform(rays, 0, 0, 100, 0, 0, 0) surf.flat(rays, nr=1.) lenses.collimator6(rays, reverse=True) #Go to focus tran.transform(rays, 0, 0, 1934.99719 - 100., 0, 0, 0) surf.flat(rays, nr=1.) #Place to AC-508-250 lenses.AC508_250(rays, reverse=True) #Go to WFS location ## tran.transform(rays,0,0,foc,0,0,0) ## surf.flat(rays,nr=.1) tran.transform(rays, 0, 0, foc, 0, 0, 0) surf.flat(rays, nr=1.) #Go to cylindrical field lens tran.transform(rays, 0, 0, -cylz, 0, 0, 0) surf.flat(rays, nr=1.) tran.transform(rays, 0, 0, 0, 0, 0, pi / 2) lenses.LJ1516_L2(rays, reverse=False) tran.itransform(rays, 0, 0, 0, 0, 0, pi / 2) tran.itransform(rays, 0, 0, -cylz, 0, 0, 0) #Back to WFS surf.flat(rays, nr=1.) return anal.rmsY(rays)
def collectFocalPlaneRays(z): tra2 = np.dot(tr.translation_matrix([40,-100,0]),\ tr.rotation_matrix(pi/2,[0,0,1,0])) rot2 = tr.rotation_matrix(pi / 2, [0, 0, 1, 0]) tra3 = np.dot(tr.translation_matrix([1000,-1000,0]),\ tr.rotation_matrix(-pi/2,[0,0,1,0])) rot3 = tr.rotation_matrix(-pi / 2, [0, 0, 1, 0]) tra4 = np.dot(tr.translation_matrix([1020,920,0]),\ tr.rotation_matrix(pi,[0,0,1,0])) rot4 = tr.rotation_matrix(pi, [0, 0, 1, 0]) f = open( '/home/rallured/Dropbox/Arcus/Raytrace/FocalPlaneLayout/160412_Rays.pkl', 'r') rays = pickle.load(f) f.close() rays2 = np.copy(rays) rays2 = [rays2[0],rays2[1],-rays2[2],rays2[3],\ rays2[4],-rays2[5],rays2[6],\ rays2[7],rays2[8],rays2[9]] rays3 = np.copy(rays) rays3 = [rays3[0],rays3[1],-rays3[2],rays3[3],\ rays3[4],-rays3[5],rays3[6],\ rays3[7],rays3[8],rays3[9]] rays4 = np.copy(rays) tran.itransform(rays2, 40, -100, 0, 0, 0, pi / 2) tran.itransform(rays3, 1000, 1000, 0, 0, 0, -pi / 2) tran.itransform(rays4, 1020, 920, 0, 0, 0, pi) #Plot to make sure plt.plot(rays[1], rays[2], '.') plt.plot(rays2[1], rays2[2], '.') plt.plot(rays3[1], rays3[2], '.') plt.plot(rays4[1], rays4[2], '.') #Transform everything up r = [rays, rays2, rays3, rays4] [tran.transform(ri, 0, 0, z, 0, 0, 0) for ri in r] [surf.flat(ri) for ri in r] plt.figure() [plt.plot(ri[1], ri[2], '.') for ri in r]
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 test(N,rin=700.,rout=737.,azwidth=66.,srcdist=89.61e3+1.5e3,\ hubdist=11832.911,yaw=0.,wave=6.,order=1,\ opgalign=[0,0,0,0,0,0],f=None,\ rrays=False,glob=False,rcen=False,\ groll=0.,gyaw=0.,gpitch=0.,\ scatter=False,coordin=None,\ radapprox=False): """ Trace through the SPO module, then place the OPG module at its nominal position, allowing for misalignments about the center of the OPG module. The module tolerances can be investigated by a coordinate transformation around the OPG module placement. """ #Trace through SPO module rays = traceSPO(N,rin=rin,rout=rout,azwidth=azwidth,srcdist=srcdist,\ scatter=scatter) #Find the nominal OPG module location using formalism #from Flanagan's SPIE paper #Go to focus, steer out X and Y, then go up a distance #defined using Flangan formula, this should leave you #at the center of the beam, therefore the center of the #OPG module if coordin is None: coords = [tran.tr.identity_matrix()]*4 tran.transform(rays,0,0,0,0,-np.mean(rays[4]),0,coords=coords) #tran.steerX(rays,coords=coords) #tran.steerY(rays,coords=coords) tran.transform(rays,0,0,0,pi-np.mean(rays[5]),0,0,coords=coords) f0 = surf.focusI(rays,coords=coords) tran.transform(rays,np.mean(rays[1]),np.mean(rays[2]),0,0,0,0,\ coords=coords) tran.transform(rays,0,0,0,0,pi,0,coords=coords) tran.transform(rays,0,0,11832.911*np.cos(1.5*np.pi/180),0,0,0,coords=coords) tran.transform(rays,0,0,0,0,1.5*np.pi/180,0,coords=coords) else: rays = tran.applyT(rays,coordin) coords = np.copy(coordin) surf.flat(rays) #Now at center of central grating, with -z pointing toward hub tran.transform(rays,*opgalign,coords=coords) rays,record = traceOPG(rays,hubdist=hubdist,yaw=yaw,wave=wave,order=order,\ gyaw=gyaw,groll=groll,gpitch=gpitch,\ radapprox=radapprox) tran.itransform(rays,*opgalign,coords=coords) #Should be at same reference frame, with rays now diffracted if np.sum(record)==0: pdb.set_trace() rays = tran.vignette(rays,ind=record>0) record = record[record>0] #Trace to detector and determine LSF rays = tran.applyT(rays,coords,inverse=True) #surf.focusI(rays) if f is not None: try: tran.transform(rays,0,0,-f,0,0,0) surf.flat(rays) except: pdb.set_trace() if rcen is True: return anal.centroid(rays) if rrays is True: if glob is True: tran.transform(rays,0,0,f,0,0,0) return rays,record #Return LSF in arcseconds return anal.hpdY(rays)/12e3*180/pi*60**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 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