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111 lines
2.9 KiB
Python
111 lines
2.9 KiB
Python
import numpy, scipy, gridlock, meanas
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from meanas.fdfd import bloch
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from numpy.linalg import norm
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import logging
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from pathlib import Path
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logging.basicConfig(level=logging.DEBUG)
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logger = logging.getLogger(__name__)
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WISDOM_FILEPATH = Path.home() / '.local/share/pyfftw/wisdom.pickle'
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def pyfftw_save_wisdom(path):
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path = Path(path)
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try:
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import pyfftw
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import pickle
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except ImportError as e:
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pass
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path.parent.mkdir(parents=True, exist_ok=True)
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wisdom = pyfftw.export_wisdom()
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with open(path, 'wb') as f:
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pickle.dump(wisdom, f)
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def pyfftw_load_wisdom(path):
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path = Path(path)
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try:
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import pyfftw
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import pickle
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except ImportError as e:
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pass
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if path.exists():
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with open(path, 'rb') as f:
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wisdom = pickle.load(f)
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pyfftw.import_wisdom(wisdom)
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logger.info('Drawing grid...')
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dx = 40
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x_period = 400
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y_period = z_period = 2000
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g = gridlock.Grid([
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numpy.arange(-x_period/2, x_period/2, dx),
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numpy.arange(-1000, 1000, dx),
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numpy.arange(-1000, 1000, dx)],
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shifts=numpy.array([[0,0,0]]),
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periodic=True,
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)
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gdata = g.allocate(1.445**2)
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g.draw_cuboid(gdata, [0,0,0], [200e8, 220, 220], foreground=3.47**2)
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#x_period = y_period = z_period = 13000
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#g = gridlock.Grid([numpy.arange(3), ]*3,
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# shifts=numpy.array([[0, 0, 0]]),
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# initial=2.0**2,
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# periodic=True)
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g2 = g.copy()
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g2.shifts = numpy.zeros((6,3))
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g2data = g2.allocate(0)
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epsilon = [gdata[0],] * 3
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reciprocal_lattice = numpy.diag(1000/numpy.array([x_period, y_period, z_period])) #cols are vectors
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pyfftw_load_wisdom(WISDOM_FILEPATH)
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#print('Finding k at 1550nm')
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#k, f = bloch.find_k(frequency=1000/1550,
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# tolerance=(1000 * (1/1550 - 1/1551)),
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# direction=[1, 0, 0],
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# G_matrix=reciprocal_lattice,
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# epsilon=epsilon,
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# band=0)
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#
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#kf = norm(reciprocal_lattice @ k) / f)
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#print(f'{k=}, {f=}, 1/f={1/f}, k/f={kf}')
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logger.info('Finding f at [0.25, 0, 0]')
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for k0x in [.25]:
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k0 = numpy.array([k0x, 0, 0])
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kmag = norm(reciprocal_lattice @ k0)
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tolerance = (1000/1550) * 1e-4/1.5 # df = f * dn_eff / n
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logger.info(f'tolerance {tolerance}')
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n, v = bloch.eigsolve(4, k0, G_matrix=reciprocal_lattice, epsilon=epsilon, tolerance=tolerance**2)
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v2e = bloch.hmn_2_exyz(k0, G_matrix=reciprocal_lattice, epsilon=epsilon)
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v2h = bloch.hmn_2_hxyz(k0, G_matrix=reciprocal_lattice, epsilon=epsilon)
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ki = bloch.generate_kmn(k0, reciprocal_lattice, g.shape)
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z = 0
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e = v2e(v[0])
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for i in range(3):
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g2data[i] += numpy.real(e[i])
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g2data[i+3] += numpy.imag(e[i])
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f = numpy.sqrt(numpy.real(numpy.abs(n))) # TODO
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print(f'{k0x=:3g}')
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print(f'eigval={n}')
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print(f'{f=}')
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n_eff = norm(reciprocal_lattice @ k0) / f
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print(f'kmag/f = n_eff = {n_eff}')
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print(f'wl={1/f}\n')
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pyfftw_save_wisdom(WISDOM_FILEPATH)
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