def testMirrorReflection(self):
manager = makeTheWorld()
mirrorbox = ROOT.TGeoBBox("mirrorbox", 0.5 * m, 0.5 * m, 0.5 * m)
mirror = ROOT.AMirror("mirror", mirrorbox)
manager.GetTopVolume().AddNode(mirror, 1)
manager.CloseGeometry()
if ROOT.gInterpreter.ProcessLine('ROOT_VERSION_CODE') < \
ROOT.gInterpreter.ProcessLine('ROOT_VERSION(6, 2, 0)'):
manager.SetMultiThread(True)
manager.SetMaxThreads(4)
graph = ROOT.TGraph()
graph.SetPoint(0, 300 * nm, 0.)
graph.SetPoint(1, 500 * nm, .5) # 0.25 at 400 nm
mirror.SetReflectivity(graph)
self.assertAlmostEqual(mirror.GetReflectivity(400 * nm, 0), 0.25, 6)
N = 10000
rays = ROOT.ARayArray()
for i in range(N):
ray = ROOT.ARay(i, 400 * nm, 0, 0, 0.8 * m, 0, 0, 0, -1)
rays.Add(ray)
manager.TraceNonSequential(rays)
n = rays.GetExited().GetLast() + 1
ref = 0.25
self.assertGreater(ref, (n - n**0.5 * 3) / N)
self.assertLess(ref, (n + n**0.5 * 3) / N)
# Test of a 2D reflectance graph
graph = ROOT.TGraph2D()
deg = ROOT.TMath.DegToRad()
# This should be 0.5 at (400 nm, 45 deg)
graph.SetPoint(0, 300 * nm, 0 * deg, 0.0)
graph.SetPoint(1, 300 * nm, 90 * deg, 0.3)
graph.SetPoint(2, 500 * nm, 0 * deg, 0.7)
graph.SetPoint(3, 500 * nm, 90 * deg, 1.0)
mirror.SetReflectivity(graph)
self.assertAlmostEqual(mirror.GetReflectivity(400 * nm, 45 * deg), 0.5,
3)
rays = ROOT.ARayArray()
for i in range(N):
x, y, z, t = 0, 0, 0.51 * m, 0
px, py, pz = ROOT.TMath.Sqrt2(), 0, -ROOT.TMath.Sqrt2()
ray = ROOT.ARay(i, 400 * nm, x, y, z, t, px, py, pz)
rays.Add(ray)
manager.TraceNonSequential(rays)
n = rays.GetExited().GetLast() + 1
ref = 0.5
self.assertGreater(ref, (n - n**0.5 * 3) / N)
self.assertLess(ref, (n + n**0.5 * 3) / N)
def MakeGeometry():
# Make the geometry of a simple parabolic telescope
manager = ROOT.AOpticsManager("manager", "SimpleParabolicTelescope")
manager.SetNsegments(
100) # Set the smoothness of surface drawing. Display use only.
# Make the world
worldbox = ROOT.TGeoBBox("worldbox", 10 * m, 10 * m, 10 * m)
world = ROOT.AOpticalComponent("world", worldbox)
manager.SetTopVolume(world)
# Define a paraboloid for the mirror
para = ROOT.TGeoParaboloid("mirror_para", 0, kMirrorRad, kMirrorSag / 2.)
mirror_tr1 = ROOT.TGeoTranslation("mirror_tr1", 0, 0, kMirrorSag / 2.)
mirror_tr1.RegisterYourself()
mirror_tr2 = ROOT.TGeoTranslation("mirror_tr2", 0, 0,
kMirrorSag / 2. - 1 * um)
mirror_tr2.RegisterYourself()
# Composite two TGeoParaboloid to make a thin parabolic surface
mirror_comp = ROOT.TGeoCompositeShape(
"mirror_comp", "mirror_para:mirror_tr2 - mirror_para:mirror_tr1")
# Make a parabolic mirror
mirror = ROOT.AMirror("mirror", mirror_comp)
world.AddNode(mirror, 1)
# Define a tube for the forcal surface
focal_tube = ROOT.TGeoTube("focal_tube", 0, kFocalRad, 10 * um)
focal_tr = ROOT.TGeoTranslation("focal_tr", 0, 0, kFocalLength + 10 * um)
focal_tr.RegisterYourself()
# Make a focal surface
focal = ROOT.AFocalSurface("focal", focal_tube)
world.AddNode(focal, 1, focal_tr)
obs_tube1 = ROOT.TGeoTube("obs_tube1", 0, kFocalRad + 10 * um, 10 * um)
obs_tr1 = ROOT.TGeoTranslation("obs_tr1", 0, 0, kFocalLength + 30 * um)
obs_tr1.RegisterYourself()
# Make a dummy obscuration behind the focal plane
obs1 = ROOT.AObscuration("obs1", obs_tube1)
world.AddNode(obs1, 1, obs_tr1)
obs_tube2 = ROOT.TGeoTube("obs_tube2", kFocalRad, kFocalRad + 10 * um,
10 * um)
obs_tr2 = ROOT.TGeoTranslation("obs_tr2", 0, 0, kFocalLength + 10 * um)
obs_tr2.RegisterYourself()
# Make one more obscuration surrounding the focal plane
obs2 = ROOT.AObscuration("obs2", obs_tube2)
world.AddNode(obs2, 1, obs_tr2)
manager.CloseGeometry()
world.Draw("ogl") # GL View does not work in PyROOT
return manager
def testMirrorScattaring(self):
manager = makeTheWorld()
mirrorbox = ROOT.TGeoBBox("mirrorbox", 0.5 * m, 0.5 * m, 0.5 * m)
mirror = ROOT.AMirror("mirror", mirrorbox)
condition = ROOT.ABorderSurfaceCondition(manager.GetTopVolume(),
mirror)
registerGeo((mirrorbox, mirror, condition))
sigma = 1
condition.SetGaussianRoughness(sigma * deg)
manager.GetTopVolume().AddNode(mirror, 1)
manager.CloseGeometry()
if ROOT.gInterpreter.ProcessLine('ROOT_VERSION_CODE;') < \
ROOT.gInterpreter.ProcessLine('ROOT_VERSION(6, 2, 0);'):
manager.SetMultiThread(True)
manager.SetMaxThreads(4)
N = 10000
rays = ROOT.ARayArray()
for i in range(N):
ray = ROOT.ARay(i, 400 * nm, 0, 0, 0.8 * m, 0, 0, 0, -1)
rays.Add(ray)
manager.TraceNonSequential(rays)
exited = rays.GetExited()
h2 = ROOT.TH2D("h2", "h2", 40, -10 * sigma, 10 * sigma, 40,
-10 * sigma, 10 * sigma)
for i in range(N):
ray = exited.At(i)
p = array.array("d", [0, 0, 0, 0])
ray.GetDirection(p)
px = p[0]
py = p[1]
pz = p[2]
h2.Fill(px * rad / deg, py * rad / deg)
f2 = ROOT.TF2("f2", "[0]*exp(-(x*x + y*y)/(2*[1]*[1]))", -10 * sigma,
10 * sigma, -10 * sigma, 10 * sigma)
f2.SetParameter(0, 1000)
f2.SetParLimits(1, 0, 10)
f2.SetParameter(1, sigma)
h2.Draw("lego")
ROOT.gPad.Update()
h2.Fit("f2", "l")
p = f2.GetParameter(1)
e = f2.GetParError(1)
self.assertGreater(2 * sigma,
p - 3 * e) # reflected angle is 2 times larger
self.assertLess(2 * sigma, p + 3 * e)
cleanupGeo()
def testLimitForSuspended(self):
manager = makeTheWorld()
manager.SetLimit(1000)
mirrorsphere = ROOT.TGeoSphere("mirrorsphere", 0.1 * m, 0.2 * m)
mirror = ROOT.AMirror("mirror", mirrorsphere)
manager.GetTopVolume().AddNode(mirror, 1)
manager.CloseGeometry()
manager.SetMultiThread(True)
manager.SetMaxThreads(4)
ray = ROOT.ARay(0, 400 * nm, 0, 0, 0, 0, 0, 0, -1)
manager.TraceNonSequential(ray)
n = ray.GetNpoints()
self.assertEqual(n, 1000)
def testLensBoundaryMultilayer(self):
manager = makeTheWorld()
lensbox = ROOT.TGeoBBox("lensbox", 0.5 * m, 0.5 * m, 0.5 * m)
lens = ROOT.AMirror("lens", lensbox)
condition = ROOT.ABorderSurfaceCondition(manager.GetTopVolume(), lens)
registerGeo((lensbox, lens, condition))
ROOT.gROOT.ProcessLine(
'auto lens_layer = std::make_shared<AMultilayer>(air, Si)')
ROOT.lens_layer.InsertLayer(ROOT.SiO2, 2000 * nm)
ROOT.lens_layer.InsertLayer(ROOT.Si3N4, 33 * nm)
condition.SetMultilayer(ROOT.lens_layer)
manager.GetTopVolume().AddNode(lens, 1)
manager.CloseGeometry()
N = 100000
for wl in range(300, 600, 50):
rays = ROOT.ARayArray()
for i in range(N):
ray = ROOT.ARay(i, wl * nm, 0, 0, 0.51 * m, 0, 1, 0, -1)
rays.Add(ray)
manager.TraceNonSequential(rays)
n_exited = rays.GetExited().GetEntries()
n_absorbed = rays.GetAbsorbed().GetEntries()
self.assertEqual(n_exited + n_absorbed, N)
reflectance = ctypes.c_double()
transmittance = ctypes.c_double()
ROOT.lens_layer.CoherentTMMMixed(
ROOT.std.complex(ROOT.double)(45 * deg), wl * nm, reflectance,
transmittance)
expected = N * reflectance.value
e = expected**0.5
self.assertGreater(n_exited, expected - 3 * e)
self.assertLess(n_exited, expected + 3 * e)
cleanupGeo()
def testMirrorBoundaryMultilayer(self):
manager = makeTheWorld()
mirrorbox = ROOT.TGeoBBox("mirrorbox", 0.5 * m, 0.5 * m, 0.5 * m)
mirror = ROOT.AMirror("mirror", mirrorbox)
condition = ROOT.ABorderSurfaceCondition(manager.GetTopVolume(),
mirror)
ROOT.gROOT.ProcessLine(
'auto mirror_layer = std::make_shared<AMultilayer>(air, Al)')
ROOT.mirror_layer.InsertLayer(ROOT.SiO2, 25.4 * nm)
condition.SetMultilayer(ROOT.mirror_layer)
manager.GetTopVolume().AddNode(mirror, 1)
manager.CloseGeometry()
N = 100000
for wl in range(300, 1100, 100):
rays = ROOT.ARayArray()
for i in range(N):
ray = ROOT.ARay(i, wl * nm, 0, 0, 0.51 * m, 0, 1, 0, -1)
rays.Add(ray)
manager.TraceNonSequential(rays)
n_exited = rays.GetExited().GetEntries()
n_absorbed = rays.GetAbsorbed().GetEntries()
self.assertEqual(n_exited + n_absorbed, N)
reflectance = ROOT.double()
transmittance = ROOT.double()
ROOT.mirror_layer.CoherentTMMMixed(
ROOT.std.complex(ROOT.double)(45 * deg), wl * nm, reflectance,
transmittance)
expected = N * reflectance
e = expected**0.5
self.assertGreater(n_exited, expected - 3 * e)
self.assertLess(n_exited, expected + 3 * e)
print(wl, n_exited, n_absorbed)
def testLimitForSuspended(self):
manager = makeTheWorld()
manager.SetLimit(1000)
mirrorsphere = ROOT.TGeoSphere("mirrorsphere", 0.1 * m, 0.2 * m)
mirror = ROOT.AMirror("mirror", mirrorsphere)
registerGeo((mirrorsphere, mirror))
manager.GetTopVolume().AddNode(mirror, 1)
manager.CloseGeometry()
if ROOT.gInterpreter.ProcessLine('ROOT_VERSION_CODE;') < \
ROOT.gInterpreter.ProcessLine('ROOT_VERSION(6, 2, 0);'):
manager.SetMultiThread(True)
manager.SetMaxThreads(4)
ray = ROOT.ARay(0, 400 * nm, 0, 0, 0, 0, 0, 0, -1)
manager.TraceNonSequential(ray)
n = ray.GetNpoints()
self.assertEqual(n, 1000)
cleanupGeo()
def testLambertian(self):
manager = makeTheWorld()
mirrorbox = ROOT.TGeoBBox("mirrorbox", 5 * cm, 5 * cm, 1 * um)
mirror = ROOT.AMirror("mirror", mirrorbox)
condition = ROOT.ABorderSurfaceCondition(manager.GetTopVolume(),
mirror)
registerGeo((mirrorbox, mirror, condition))
condition.EnableLambertian(True)
manager.GetTopVolume().AddNode(mirror, 1)
focalbox = ROOT.TGeoBBox("focalbox", 0.5 * cm, 0.5 * cm, 1 * um)
focal = ROOT.AFocalSurface("focal", focalbox)
registerGeo((focalbox, focal))
collimatorpgon = ROOT.TGeoPgon("focalboxcollimatorpgon", 0, 360, 4, 2)
collimatorpgon.DefineSection(0, -3 * m, 0.5 * cm, 0.51 * cm)
collimatorpgon.DefineSection(1, -1 * um, 0.5 * cm, 0.51 * cm)
collimator = ROOT.AObscuration("collimator", collimatorpgon)
registerGeo((collimatorpgon, collimator))
for i in range(90):
theta = i
rot = ROOT.TGeoRotation("", 0, theta, 0)
rot2 = ROOT.TGeoRotation("", 0, theta, 45)
cos = ROOT.TMath.Cos(theta * ROOT.TMath.Pi() / 180.)
sin = ROOT.TMath.Sin(theta * ROOT.TMath.Pi() / 180.)
tr = ROOT.TGeoTranslation(0, -10 * m * sin, 10 * m * cos)
registerGeo((rot, rot2, tr))
manager.GetTopVolume().AddNode(focal, i + 1,
ROOT.TGeoCombiTrans(tr, rot))
manager.GetTopVolume().AddNode(collimator, i + 1,
ROOT.TGeoCombiTrans(tr, rot2))
manager.CloseGeometry()
manager.GetTopVolume().Draw("ogl")
h = ROOT.TH1D('h', ';Viewing Angle (deg);Number of Photons', 90, 0, 90)
for j in range(-500, 501):
rot = ROOT.TGeoRotation("", 0, 180, 0)
dy = j * mm / 10.
tr = ROOT.TGeoTranslation(0, dy, 2 * um)
array = ROOT.ARayShooter.RandomSquare(400 * nm, 2 * cm, 1000000,
rot, tr)
manager.TraceNonSequential(array)
objarray = ROOT.TObjArray()
objarray.Add(array) # to delete ARayArray inside C++
objarray.SetOwner(True)
focused = array.GetFocused()
for i in range(focused.GetLast() + 1):
ray = focused[i]
history = ray.GetNodeHistory()
angle = int(
history.At(
history.GetLast()).GetName().split('_')[1]) - 0.5
h.Fill(angle)
if i < 1000 and j == 0:
pol = ray.MakePolyLine3D()
pol.SetLineColor(2)
pol.SetLineWidth(2)
pol.Draw()
registerGeo((pol, ))
ROOT.gPad.Modified()
ROOT.gPad.Update()
del objarray
can = ROOT.TCanvas()
h.Draw()
h.Fit('pol0', '', '', 0, 50)
