def setUp(self):
self.assembly = Assembly()
surface1 = Surface(FlatGeometryManager(),
opt.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, -1.]))
surface2 = Surface(FlatGeometryManager(),
opt.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, 1.]))
object1 = AssembledObject(surfs=[surface1, surface2])
boundary = BoundarySphere(location=N.r_[0, 0., 3], radius=3.)
surface3 = Surface(CutSphereGM(2., boundary), opt.perfect_mirror)
object2 = AssembledObject(surfs=[surface3],
transform=translate(0., 0., 2.))
self.assembly = Assembly(objects=[object1, object2])
x = 1. / (math.sqrt(2))
dir = N.c_[[0, 1., 0.], [0, x, x], [0, 0, 1.]]
position = N.c_[[0, 0, 2.], [0, 0, 2.], [0, 0., 2.]]
self._bund = RayBundle(position,
dir,
ref_index=N.ones(3),
energy=N.ones(3))
self.engine = TracerEngine(self.assembly)
def setUp(self):
self.assembly = Assembly()
surface1 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, -1.]))
surface2 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, 1.]))
self.object1 = AssembledObject()
self.object1.add_surface(surface1)
self.object1.add_surface(surface2)
boundary = BoundarySphere(location=N.r_[0, 0., 3], radius=3.)
surface3 = Surface(CutSphereGM(2., boundary),
optics_callables.perfect_mirror)
self.object2 = AssembledObject()
self.object2.add_surface(surface3)
self.transform = generate_transform(N.r_[1, 0., 0], 0.,
N.c_[[0., 0, 2]])
self.assembly.add_object(self.object1)
self.assembly.add_object(self.object2, self.transform)
x = 1. / (math.sqrt(2))
dir = N.c_[[0, 1., 0.], [0, x, x], [0, 0, 1.]]
position = N.c_[[0, 0, 2.], [0, 0, 2.], [0, 0., 2.]]
self._bund = RayBundle(position,
dir,
energy=N.ones(3),
ref_index=N.ones(3))
def test_all_refracted(self):
dir = N.c_[[1, 1, -1], [-1, 1, -1], [-1, -1, -1], [1, -1, -1]] / N.sqrt(3)
position = N.c_[[0,0,1], [1,-1,1], [1,1,1], [-1,1,1]]
en = N.r_[100, 200, 300, 400]
bund = RayBundle(position, dir, energy=en, ref_index=N.ones(4))
gm = FlatGeometryManager()
prm = gm.find_intersections(N.eye(4), bund)
refractive = optics_callables.RefractiveHomogenous(1,1.5)
selector = N.array([0, 1, 3])
gm.select_rays(selector)
outg = refractive(gm, bund, selector)
correct_pts = N.zeros((3,4))
correct_pts[:2,0] = 1
correct_pts = N.hstack((correct_pts[:,selector], correct_pts[:,selector]))
N.testing.assert_array_equal(outg.get_vertices(), correct_pts)
norm = N.c_[gm.get_normals()[:,0]]
correct_refl_cos = -(dir*norm).sum(axis=0)[selector]
correct_refr_cos = -N.sqrt(1 - (1./1.5)**2*(1 - correct_refl_cos**2))
outg_cos = (outg.get_directions()*norm).sum(axis=0)
N.testing.assert_array_equal(outg_cos, N.r_[correct_refl_cos, correct_refr_cos])
N.testing.assert_array_equal(outg.get_energy().reshape(2,-1).sum(axis=0), \
N.r_[100, 200, 400]) # reflection and refraction sum to 100%
N.testing.assert_array_equal(outg.get_parents(), N.tile(selector, 2))
def setUp(self):
self.assembly = Assembly()
surface1 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1., 1.5),
location=N.array([0, 0, -1.]))
surface2 = Surface(flat_surface.FlatGeometryManager(),
optics_callables.RefractiveHomogenous(1.5, 1.),
location=N.array([0, 0, 1.]))
self.object = AssembledObject(surfs=[surface1, surface2])
self.assembly.add_object(self.object)
x = 1 / (math.sqrt(2))
dir = N.c_[[0, -x, x]]
position = N.c_[[0, 1, -2.]]
self._bund = RayBundle(position,
dir,
energy=N.r_[1.],
ref_index=N.r_[1.])
def setUp(self):
"""
Prepare an assembly with two subassemblies: one assembly representing
a spherical lens behind a flat screen, and one asssembly representing a
perfect mirror.
The mirror will be placed at the two subassemblies' focus, so a paraxial
ray will come back on the other side of the optical axis.
Reference:
In [1], the lensmaker equation
"""
# focal length = 1, thickness = 1/6
R = 1. / 6.
back_surf = Surface(HemisphereGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., -R / 2.])
front_surf = Surface(HemisphereGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., R / 2.],
rotation=rotx(N.pi / 2.)[:3, :3])
front_lens = AssembledObject(surfs=[back_surf, front_surf])
back_surf = Surface(RoundPlateGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., -0.01])
front_surf = Surface(RoundPlateGM(R),
opt.RefractiveHomogenous(1., 1.5),
location=N.r_[0., 0., 0.01])
glass_screen = AssembledObject(surfs=[back_surf, front_surf],
transform=translate(0., 0., 0.5))
lens_assembly = Assembly(objects=[glass_screen, front_lens])
lens_assembly.set_transform(translate(0., 0., 1.))
full_assembly = Assembly(objects=[rect_one_sided_mirror(1., 1., 0.)],
subassemblies=[lens_assembly])
self.engine = TracerEngine(full_assembly)
def test_TIR(self):
dir = N.c_[[0, N.cos(N.pi/180), -N.sin(N.pi/180)]]
position = N.c_[[0,0,1]]
en = N.r_[100]
bund = RayBundle(position, dir, energy=en, ref_index=N.r_[1.5])
gm = FlatGeometryManager()
prm = gm.find_intersections(N.eye(4), bund)
refractive = optics_callables.RefractiveHomogenous(1.,1.5)
selector = N.r_[0]
gm.select_rays(selector)
outg = refractive(gm, bund, selector)
self.failUnlessEqual(outg.get_vertices().shape, (3,1))
N.testing.assert_array_equal(outg.get_directions(),
N.c_[[0, N.cos(N.pi/180), N.sin(N.pi/180)]])
N.testing.assert_array_equal(outg.get_energy(), N.r_[100])
N.testing.assert_array_equal(outg.get_parents(), N.r_[0])