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