182 lines
5.5 KiB
Python
182 lines
5.5 KiB
Python
import unittest
|
|
import numpy
|
|
|
|
from fdfd_tools import fdtd
|
|
|
|
class BasicTests():
|
|
def test_initial_fields(self):
|
|
# Make sure initial fields didn't change
|
|
e0 = self.es[0]
|
|
h0 = self.hs[0]
|
|
mask = self.src_mask
|
|
|
|
self.assertEqual(e0[mask], self.j_mag / self.epsilon[mask])
|
|
self.assertFalse(e0[~mask].any())
|
|
self.assertFalse(h0.any())
|
|
|
|
|
|
def test_initial_energy(self):
|
|
e0 = self.es[0]
|
|
h0 = self.hs[0]
|
|
h1 = self.hs[1]
|
|
mask = self.src_mask[1]
|
|
u0 = self.j_mag * self.j_mag / self.epsilon[self.src_mask]
|
|
args = {'dxes': self.dxes,
|
|
'epsilon': self.epsilon}
|
|
|
|
# Make sure initial energy and E dot J are correct
|
|
energy0 = fdtd.energy_estep(h0=h0, e1=e0, h2=self.hs[1], **args)
|
|
e_dot_j_0 = fdtd.delta_energy_j(j0=(e0 - 0) * self.epsilon, e1=e0, dxes=self.dxes)
|
|
self.assertEqual(energy0[mask], u0)
|
|
self.assertFalse(energy0[~mask].any())
|
|
self.assertEqual(e_dot_j_0[mask], u0)
|
|
self.assertFalse(e_dot_j_0[~mask].any())
|
|
|
|
|
|
def test_energy_conservation(self):
|
|
e0 = self.es[0]
|
|
u0 = fdtd.delta_energy_j(j0=(e0 - 0) * self.epsilon, e1=e0).sum()
|
|
args = {'dxes': self.dxes,
|
|
'epsilon': self.epsilon}
|
|
|
|
for ii in range(1, 8):
|
|
with self.subTest(i=ii):
|
|
u_hstep = fdtd.energy_hstep(e0=self.es[ii-1], h1=self.hs[ii], e2=self.es[ii], **args)
|
|
u_estep = fdtd.energy_estep(h0=self.hs[ii], e1=self.es[ii], h2=self.hs[ii + 1], **args)
|
|
self.assertTrue(numpy.allclose(u_hstep.sum(), u0))
|
|
self.assertTrue(numpy.allclose(u_estep.sum(), u0))
|
|
|
|
|
|
def test_poynting(self):
|
|
args = {'dxes': self.dxes,
|
|
'epsilon': self.epsilon}
|
|
|
|
for ii in range(1, 8):
|
|
u_eprev = None
|
|
with self.subTest(i=ii):
|
|
u_hstep = fdtd.energy_hstep(e0=self.es[ii-1], h1=self.hs[ii], e2=self.es[ii], **args)
|
|
u_estep = fdtd.energy_estep(h0=self.hs[ii], e1=self.es[ii], h2=self.hs[ii + 1], **args)
|
|
|
|
du_half_h2e = u_estep - u_hstep
|
|
div_s_h2e = self.dt * fdtd.poynting_divergence(e=self.es[ii], h=self.hs[ii], dxes=self.dxes)
|
|
self.assertTrue(numpy.allclose(du_half_h2e, -div_s_h2e))
|
|
|
|
if u_eprev is None:
|
|
u_eprev = u_estep
|
|
continue
|
|
|
|
# previous half-step
|
|
du_half_e2h = u_hstep - u_eprev
|
|
div_s_e2h = self.dt * fdtd.poynting_divergence(e=self.es[ii], h=self.hs[ii-1], dxes=self.dxes)
|
|
self.assertTrue(numpy.allclose(du_half_e2h, -div_s_e2h))
|
|
u_eprev = u_estep
|
|
|
|
|
|
class Basic2DNoDXOnlyVacuum(unittest.TestCase, BasicTests):
|
|
def setUp(self):
|
|
shape = [3, 5, 5, 1]
|
|
dt = 0.5
|
|
epsilon = numpy.ones(shape, dtype=float)
|
|
j_mag = 32
|
|
dxes = None
|
|
|
|
src_mask = numpy.zeros_like(epsilon, dtype=bool)
|
|
src_mask[1, 2, 2, 0] = True
|
|
|
|
e = numpy.zeros_like(epsilon)
|
|
h = numpy.zeros_like(epsilon)
|
|
e[src_mask] = j_mag / epsilon[src_mask]
|
|
es = [e]
|
|
hs = [h]
|
|
|
|
eh2h = fdtd.maxwell_h(dt=dt, dxes=dxes)
|
|
eh2e = fdtd.maxwell_e(dt=dt, dxes=dxes)
|
|
for _ in range(9):
|
|
e = e.copy()
|
|
h = h.copy()
|
|
eh2h(e, h)
|
|
eh2e(e, h, epsilon)
|
|
es.append(e)
|
|
hs.append(h)
|
|
|
|
self.es = es
|
|
self.hs = hs
|
|
self.dt = dt
|
|
self.epsilon = epsilon
|
|
self.dxes = dxes
|
|
self.src_mask = src_mask
|
|
self.j_mag = j_mag
|
|
|
|
|
|
class Basic3DUniformDXOnlyVacuum(unittest.TestCase, BasicTests):
|
|
def setUp(self):
|
|
shape = [3, 5, 5, 5]
|
|
dt = 0.33
|
|
epsilon = numpy.ones(shape, dtype=float)
|
|
j_mag = 32
|
|
dxes = tuple(tuple(numpy.ones(s) for s in shape[1:]) for _ in range(2))
|
|
|
|
src_mask = numpy.zeros_like(epsilon, dtype=bool)
|
|
src_mask[1, 2, 2, 0] = True
|
|
|
|
e = numpy.zeros_like(epsilon)
|
|
h = numpy.zeros_like(epsilon)
|
|
e[src_mask] = j_mag / epsilon[src_mask]
|
|
es = [e]
|
|
hs = [h]
|
|
|
|
eh2h = fdtd.maxwell_h(dt=dt, dxes=dxes)
|
|
eh2e = fdtd.maxwell_e(dt=dt, dxes=dxes)
|
|
for _ in range(9):
|
|
e = e.copy()
|
|
h = h.copy()
|
|
eh2h(e, h)
|
|
eh2e(e, h, epsilon)
|
|
es.append(e)
|
|
hs.append(h)
|
|
|
|
self.es = es
|
|
self.hs = hs
|
|
self.dt = dt
|
|
self.epsilon = epsilon
|
|
self.dxes = dxes
|
|
self.src_mask = src_mask
|
|
self.j_mag = j_mag
|
|
|
|
|
|
class Basic3DUniformDX(unittest.TestCase, BasicTests):
|
|
def setUp(self):
|
|
shape = [3, 5, 5, 5]
|
|
dt = 0.33
|
|
epsilon = numpy.full(shape, 2, dtype=float)
|
|
j_mag = 32
|
|
dxes = tuple(tuple(numpy.ones(s) for s in shape[1:]) for _ in range(2))
|
|
|
|
src_mask = numpy.zeros_like(epsilon, dtype=bool)
|
|
src_mask[1, 2, 2, 0] = True
|
|
|
|
e = numpy.zeros_like(epsilon)
|
|
h = numpy.zeros_like(epsilon)
|
|
e[src_mask] = j_mag / epsilon[src_mask]
|
|
es = [e]
|
|
hs = [h]
|
|
|
|
eh2h = fdtd.maxwell_h(dt=dt, dxes=dxes)
|
|
eh2e = fdtd.maxwell_e(dt=dt, dxes=dxes)
|
|
for _ in range(9):
|
|
e = e.copy()
|
|
h = h.copy()
|
|
eh2h(e, h)
|
|
eh2e(e, h, epsilon)
|
|
es.append(e)
|
|
hs.append(h)
|
|
|
|
self.es = es
|
|
self.hs = hs
|
|
self.dt = dt
|
|
self.epsilon = epsilon
|
|
self.dxes = dxes
|
|
self.src_mask = src_mask
|
|
self.j_mag = j_mag
|
|
|