Test poynting planes on both half-steps
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@ -88,18 +88,19 @@ class BasicTests():
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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))
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dV = numpy.prod(numpy.meshgrid(*dxes[0], indexing='ij'), axis=0)
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mx = numpy.roll(self.src_mask, (-1, -1), axis=(0, 1))
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my = numpy.roll(self.src_mask, -1, axis=2)
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mz = numpy.roll(self.src_mask, (+1, -1), axis=(0, 3))
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px = numpy.roll(self.src_mask, -1, axis=0)
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py = self.src_mask.copy()
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pz = numpy.roll(self.src_mask, +1, axis=0)
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u_eprev = None
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for ii in range(1, 8):
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with self.subTest(i=ii):
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u_hstep = fdtd.energy_hstep(e0=self.es[ii-1], h1=self.hs[ii], e2=self.es[ii], **args)
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u_estep = fdtd.energy_estep(h0=self.hs[ii], e1=self.es[ii], h2=self.hs[ii + 1], **args)
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mx = numpy.roll(self.src_mask, (-1, -1), axis=(0, 1))
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my = numpy.roll(self.src_mask, -1, axis=2)
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mz = numpy.roll(self.src_mask, (+1, -1), axis=(0, 3))
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px = numpy.roll(self.src_mask, -1, axis=0)
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py = self.src_mask.copy()
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pz = numpy.roll(self.src_mask, +1, axis=0)
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s_h2e = -fdtd.poynting(e=self.es[ii], h=self.hs[ii]) * self.dt
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s_h2e[0] *= dxes[0][1][None, :, None] * dxes[0][2][None, None, :]
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s_h2e[1] *= dxes[0][0][:, None, None] * dxes[0][2][None, None, :]
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@ -110,6 +111,23 @@ class BasicTests():
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self.assertTrue(numpy.allclose(sum(planes), (u_estep - u_hstep)[self.src_mask[1]]),
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msg='planes: {} (sum: {})\n du:\n {}'.format(planes, sum(planes), (u_estep - u_hstep)[self.src_mask[1]]))
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if u_eprev is None:
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u_eprev = u_estep
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continue
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s_e2h = -fdtd.poynting(e=self.es[ii - 1], h=self.hs[ii]) * self.dt
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s_e2h[0] *= dxes[0][1][None, :, None] * dxes[0][2][None, None, :]
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s_e2h[1] *= dxes[0][0][:, None, None] * dxes[0][2][None, None, :]
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s_e2h[2] *= dxes[0][0][:, None, None] * dxes[0][1][None, :, None]
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planes = [s_e2h[px].sum(), -s_e2h[mx].sum(),
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s_e2h[py].sum(), -s_e2h[my].sum(),
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s_e2h[pz].sum(), -s_e2h[mz].sum()]
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self.assertTrue(numpy.allclose(sum(planes), (u_hstep - u_eprev)[self.src_mask[1]]),
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msg='planes: {} (sum: {})\n du:\n {}'.format(planes, sum(planes), (u_hstep - u_eprev)[self.src_mask[1]]))
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# previous half-step
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u_eprev = u_estep
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class Basic2DNoDXOnlyVacuum(unittest.TestCase, BasicTests):
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def setUp(self):
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