69 lines
2.0 KiB
Python
69 lines
2.0 KiB
Python
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import unittest
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import numpy
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from fdfd_tools import fdtd
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class TestBasic2D(unittest.TestCase):
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def setUp(self):
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shape = [3, 5, 5, 1]
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dt = 0.5
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epsilon = numpy.ones(shape, dtype=float)
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src_mask = numpy.zeros_like(epsilon, dtype=bool)
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src_mask[1, 2, 2, 0] = True
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e = numpy.zeros_like(epsilon)
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h = numpy.zeros_like(epsilon)
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e[src_mask] = 32
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es = [e]
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hs = [h]
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eh2h = fdtd.maxwell_h(dt=dt)
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eh2e = fdtd.maxwell_e(dt=dt)
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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, epsilon)
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es.append(e)
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hs.append(h)
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self.es = es
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self.hs = hs
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self.dt = dt
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self.epsilon = epsilon
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self.src_mask = src_mask
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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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self.assertEqual(e0[1, 2, 2, 0], 32)
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self.assertFalse(e0[~self.src_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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# 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])
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e_dot_j_0 = fdtd.delta_energy_j(j0=e0 - 0, e1=e0)
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self.assertEqual(energy0[mask], 32 * 32)
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self.assertFalse(energy0[~mask].any())
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self.assertEqual(e_dot_j_0[mask], 32 * 32)
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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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for ii in range(1, 8):
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with self.subTest(i=ii):
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u_estep = fdtd.energy_estep(h0=self.hs[ii], e1=self.es[ii], h2=self.hs[ii + 1])
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u_hstep = fdtd.energy_hstep(e0=self.es[ii-1], h1=self.hs[ii], e2=self.es[ii])
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self.assertTrue(numpy.allclose(u_estep.sum(), 32 * 32))
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self.assertTrue(numpy.allclose(u_hstep.sum(), 32 * 32))
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