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 testFresnelReflection(self):
manager = makeTheWorld()
manager.DisableFresnelReflection(False) # enable
lensbox = ROOT.TGeoBBox("lensbox", 0.5 * m, 0.5 * m, 0.5 * m)
lens = ROOT.ALens("lens", lensbox)
lens.SetConstantAbsorptionLength(1 * um)
idx = 3.
lens.SetConstantRefractiveIndex(idx)
manager.GetTopVolume().AddNode(lens, 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)
n = rays.GetExited().GetLast() + 1
ref = (idx - 1)**2 / (idx + 1)**2
self.assertGreater(ref, (n - n**0.5 * 3) / N)
self.assertLess(ref, (n + n**0.5 * 3) / N)
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 testSnellsLaw(self):
manager = makeTheWorld()
manager.DisableFresnelReflection(True)
lensbox = ROOT.TGeoBBox("lensbox", 0.5 * m, 0.5 * m, 1 * mm)
lens = ROOT.ALens("lens", lensbox)
idx = 1.5
ROOT.gROOT.ProcessLine(
'refidx = std::make_shared<ARefractiveIndex>(%.1f);' % idx)
lens.SetRefractiveIndex(ROOT.refidx)
manager.GetTopVolume().AddNode(lens, 1)
focalbox = ROOT.TGeoBBox("focalbox", 0.5 * m, 0.5 * m, 0.1 * mm)
focal = ROOT.AFocalSurface("focal", focalbox)
registerGeo((lensbox, lens, focalbox, focal))
lens.AddNode(focal, 1)
manager.CloseGeometry()
theta = 30 * deg
sint = ROOT.TMath.Sin(theta)
cost = ROOT.TMath.Cos(theta)
ray = ROOT.ARay(0, 400 * nm, 0 * m, 0 * m, 2 * mm, 0, sint, 0, -cost)
arr = ROOT.ARayArray()
#arr.Add(ray)
## calling TraceNonSequential(ARay*) causes a seg fault...
manager.TraceNonSequential(ray)
p = array.array("d", [0, 0, 0, 0])
ray.GetDirection(p)
px = p[0]
py = p[1]
pz = p[2]
self.assertAlmostEqual(px, sint / idx)
self.assertAlmostEqual(py, 0)
cleanupGeo()
def testSnellsLaw(self):
manager = makeTheWorld()
manager.SetLimit(1000)
lensbox = ROOT.TGeoBBox("lensbox", 0.5 * m, 0.5 * m, 1 * mm)
lens = ROOT.ALens("lens", lensbox)
idx = 1.5
lens.SetConstantRefractiveIndex(idx)
manager.GetTopVolume().AddNode(lens, 1)
focalbox = ROOT.TGeoBBox("focalbox", 0.5 * m, 0.5 * m, 0.1 * mm)
focal = ROOT.AFocalSurface("focal", focalbox)
lens.AddNode(focal, 1)
manager.CloseGeometry()
if ROOT.gInterpreter.ProcessLine('ROOT_VERSION_CODE') < \
ROOT.gInterpreter.ProcessLine('ROOT_VERSION(6, 2, 0)'):
manager.SetMultiThread(True)
manager.SetMaxThreads(4)
manager.DisableFresnelReflection(True)
theta = 30 * d2r
sint = ROOT.TMath.Sin(theta)
cost = ROOT.TMath.Cos(theta)
ray = ROOT.ARay(0, 400 * nm, 0 * m, 0 * m, 2 * mm, 0, sint, 0, -cost)
arr = ROOT.ARayArray()
arr.Add(ray)
# calling TraceNonSequential(ARay*) causes a seg fault...
manager.TraceNonSequential(arr)
p = array.array("d", [0, 0, 0, 0])
ray.GetDirection(p)
px = p[0]
py = p[1]
pz = p[2]
self.assertAlmostEqual(px, sint / idx)
self.assertAlmostEqual(py, 0)
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 testFresnelReflection(self):
manager = makeTheWorld()
manager.DisableFresnelReflection(False) # enable
lensbox = ROOT.TGeoBBox("lensbox", 0.5 * m, 0.5 * m, 0.5 * m)
lens = ROOT.ALens("lens", lensbox)
wl = 400 * nm
absl = 1 * um
idx = 3.
ROOT.gROOT.ProcessLine('double idx, k;')
ROOT.idx = idx
ROOT.k = ROOT.ARefractiveIndex.AbsorptionLengthToExtinctionCoefficient(
absl, wl)
ROOT.gROOT.ProcessLine(
'refidx = std::make_shared<ARefractiveIndex>(idx, k);')
lens.SetRefractiveIndex(ROOT.refidx)
manager.GetTopVolume().AddNode(lens, 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 = 100000
rays = ROOT.ARayArray()
for i in range(N):
ray = ROOT.ARay(i, wl, 0, 0, 0.8 * m, 0, 0, 0, -1)
rays.Add(ray)
manager.TraceNonSequential(rays)
n = rays.GetExited().GetLast() + 1
ref = (idx - 1)**2 / (idx + 1)**2
self.assertGreater(ref, (n - n**0.5 * 3) / N)
self.assertLess(ref, (n + n**0.5 * 3) / N)
layer = ROOT.AMultilayer(ROOT.air, ROOT.TiO2)
angle = ROOT.std.complex(ROOT.double)(45 * deg)
for wl in (200 * nm, 800 * nm):
ref, trans = ctypes.c_double(), ctypes.c_double()
layer.CoherentTMMMixed(angle, wl, ref, trans)
lens.SetRefractiveIndex(ROOT.TiO2)
rays = ROOT.ARayArray()
z, dy, dz = 0.51 * m, 1 / 2**0.5, -1 / 2**0.5
for i in range(N):
ray = ROOT.ARay(i, wl, 0, 0, z, 0, 0, dy, dz)
rays.Add(ray)
manager.SetLimit(
3) # stop tracking of photons that entered the lens
manager.TraceNonSequential(rays)
n = rays.GetExited().GetLast() + 1
self.assertGreater(ref.value, (n - n**0.5 * 3) / N)
self.assertLess(ref.value, (n + n**0.5 * 3) / N)
