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