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Test poynting planes on both half-steps

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This commit is contained in:
Jan Petykiewicz 2019-07-24 22:42:36 -07:00
parent b4bbfdb730
commit f2d061c921
1 changed files with 24 additions and 6 deletions
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30
fdfd_tools/test_fdtd.py
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@ -88,18 +88,19 @@ class BasicTests():
dxes = self.dxes if self.dxes is not None else tuple(tuple(numpy.ones(s) for s in self.epsilon.shape[1:]) for _ in range(2)) dxes = self.dxes if self.dxes is not None else tuple(tuple(numpy.ones(s) for s in self.epsilon.shape[1:]) for _ in range(2))
dV = numpy.prod(numpy.meshgrid(*dxes[0], indexing='ij'), axis=0) dV = numpy.prod(numpy.meshgrid(*dxes[0], indexing='ij'), axis=0)
u_eprev = None
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)
mx = numpy.roll(self.src_mask, (-1, -1), axis=(0, 1)) mx = numpy.roll(self.src_mask, (-1, -1), axis=(0, 1))
my = numpy.roll(self.src_mask, -1, axis=2) my = numpy.roll(self.src_mask, -1, axis=2)
mz = numpy.roll(self.src_mask, (+1, -1), axis=(0, 3)) mz = numpy.roll(self.src_mask, (+1, -1), axis=(0, 3))
px = numpy.roll(self.src_mask, -1, axis=0) px = numpy.roll(self.src_mask, -1, axis=0)
py = self.src_mask.copy() py = self.src_mask.copy()
pz = numpy.roll(self.src_mask, +1, axis=0) pz = numpy.roll(self.src_mask, +1, axis=0)
u_eprev = None
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)
s_h2e = -fdtd.poynting(e=self.es[ii], h=self.hs[ii]) * self.dt s_h2e = -fdtd.poynting(e=self.es[ii], h=self.hs[ii]) * self.dt
s_h2e[0] *= dxes[0][1][None, :, None] * dxes[0][2][None, None, :] s_h2e[0] *= dxes[0][1][None, :, None] * dxes[0][2][None, None, :]
s_h2e[1] *= dxes[0][0][:, None, None] * dxes[0][2][None, None, :] s_h2e[1] *= dxes[0][0][:, None, None] * dxes[0][2][None, None, :]
@ -110,6 +111,23 @@ class BasicTests():
self.assertTrue(numpy.allclose(sum(planes), (u_estep - u_hstep)[self.src_mask[1]]), self.assertTrue(numpy.allclose(sum(planes), (u_estep - u_hstep)[self.src_mask[1]]),
msg='planes: {} (sum: {})\n du:\n {}'.format(planes, sum(planes), (u_estep - u_hstep)[self.src_mask[1]])) msg='planes: {} (sum: {})\n du:\n {}'.format(planes, sum(planes), (u_estep - u_hstep)[self.src_mask[1]]))
if u_eprev is None:
u_eprev = u_estep
continue
s_e2h = -fdtd.poynting(e=self.es[ii - 1], h=self.hs[ii]) * self.dt
s_e2h[0] *= dxes[0][1][None, :, None] * dxes[0][2][None, None, :]
s_e2h[1] *= dxes[0][0][:, None, None] * dxes[0][2][None, None, :]
s_e2h[2] *= dxes[0][0][:, None, None] * dxes[0][1][None, :, None]
planes = [s_e2h[px].sum(), -s_e2h[mx].sum(),
s_e2h[py].sum(), -s_e2h[my].sum(),
s_e2h[pz].sum(), -s_e2h[mz].sum()]
self.assertTrue(numpy.allclose(sum(planes), (u_hstep - u_eprev)[self.src_mask[1]]),
msg='planes: {} (sum: {})\n du:\n {}'.format(planes, sum(planes), (u_hstep - u_eprev)[self.src_mask[1]]))
# previous half-step
u_eprev = u_estep
class Basic2DNoDXOnlyVacuum(unittest.TestCase, BasicTests): class Basic2DNoDXOnlyVacuum(unittest.TestCase, BasicTests):
def setUp(self): def setUp(self):