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WIP: mode-solver improvements (NanoComp#333)
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* mpb match-freq should only search k in direction d

* adjust for bloch-periodic boundaries in get_eigenmode, so that it works for both sources and mode decomposition

* allow get_eigenmode to return NULL if mode was not found, clean up a memory leak in mode coefficients

* whoops

* add parity argument to get_eigenmode_coefficients (fises NanoComp#294)

* add missing get_eigenmode_coefficients parameters, fix defaults
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stevengj authored May 17, 2018
1 parent a8092df commit 63bd6de
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Showing 5 changed files with 107 additions and 95 deletions.
22 changes: 11 additions & 11 deletions doc/docs/Python_Tutorials/Mode_Decomposition.md
Original file line number Diff line number Diff line change
Expand Up @@ -26,25 +26,25 @@ def main(args):
Lt = args.Lt # taper length

Si = mp.Medium(epsilon=12.0)

dair = 3.0
dpml = 3.0

sx = dpml + Lw + Lt + Lw + dpml
sy = dpml + dair + w2 + dair + dpml
cell_size = mp.Vector3(sx, sy, 0)

geometry = [ mp.Block(material=Si, center=mp.Vector3(0,0,0), size=mp.Vector3(mp.inf,w1,mp.inf)),
geometry = [ mp.Block(material=Si, center=mp.Vector3(0,0,0), size=mp.Vector3(mp.inf,w1,mp.inf)),
mp.Block(material=Si, center=mp.Vector3(0.5*sx-0.5*(Lt+Lw+dpml),0,0), size=mp.Vector3(Lt+Lw+dpml,w2,mp.inf)) ]

# form linear taper

hh = w2
ww = 2*Lt

# taper angle (CCW, relative to +X axis)
rot_theta = math.atan(0.5*(w2-w1)/Lt)

pvec = mp.Vector3(-0.5*sx+dpml+Lw,0.5*w1,0)
cvec = mp.Vector3(-0.5*sx+dpml+Lw+0.5*ww,0.5*hh+0.5*w1,0)
rvec = cvec-pvec
Expand All @@ -69,7 +69,7 @@ def main(args):

# mode frequency
fcen = 0.15

sources = [ mp.EigenModeSource(src=mp.GaussianSource(fcen, fwidth=0.5*fcen),
component=mp.Ez,
size=mp.Vector3(0,sy-2*dpml,0),
Expand All @@ -78,9 +78,9 @@ def main(args):
eig_parity=mp.ODD_Z,
eig_kpoint=mp.Vector3(0.4,0,0),
eig_resolution=32) ]

symmetries = [ mp.Mirror(mp.Y,+1) ]

sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=boundary_layers,
Expand All @@ -90,21 +90,21 @@ def main(args):

xm = -0.5*sx + dpml + 0.5*Lw; # x-coordinate of monitor
mflux = sim.add_eigenmode(fcen, 0, 1, mp.FluxRegion(center=mp.Vector3(xm,0), size=mp.Vector3(0,sy-2*dpml)));

sim.run(until_after_sources=mp.stop_when_fields_decayed(50, mp.Ez, mp.Vector3(xm,0), 1e-10))

bands = np.array([1],dtype=np.int32) # indices of modes for which to compute expansion coefficients
num_bands = 1;
alpha = np.zeros(2*num_bands,dtype=np.complex128) # preallocate array to store coefficients
vgrp = np.zeros(num_bands,dtype=np.float64) # also store mode group velocities
mvol = mp.volume(mp.vec(xm,-0.5*sy+dpml),mp.vec(xm,+0.5*sy-dpml))
sim.fields.get_eigenmode_coefficients(mflux, mp.X, mvol, bands, alpha, vgrp)
sim.fields.get_eigenmode_coefficients(mflux, mp.X, mvol, bands, mp.ODD_Z, alpha, vgrp)

alpha0Plus = alpha[2*0 + 0]; # coefficient of forward-traveling fundamental mode
alpha0Minus = alpha[2*0 + 1]; # coefficient of backward-traveling fundamental mode

print("refl:, {}, {:.8f}".format(Lt, abs(alpha0Minus)**2))

if __name__ == '__main__':
parser = argparse.ArgumentParser()
parser.add_argument('-Lt', type=float, default=3.0, help='taper length (default: 3.0)')
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1 change: 1 addition & 0 deletions python/Makefile.am
Original file line number Diff line number Diff line change
@@ -1,4 +1,5 @@
HPPFILES= \
$(top_srcdir)/src/meep.hpp \
$(top_srcdir)/src/meep_internals.hpp \
$(top_srcdir)/src/bicgstab.hpp \
$(top_srcdir)/src/meep/vec.hpp \
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7 changes: 5 additions & 2 deletions python/simulation.py
Original file line number Diff line number Diff line change
Expand Up @@ -1024,13 +1024,16 @@ def get_dft_array(self, dft_obj, component, num_freq):
else:
raise ValueError("Invalid type of dft object: {}".format(dft_obj))

def get_eigenmode_coefficients(self, flux, bands, kpoint_func=None):
def get_eigenmode_coefficients(self, flux, bands, eig_parity=mp.NO_PARITY,
eig_vol=None, eig_resolution=0, eig_tolerance=1e-7, kpoint_func=None):
if self.fields is None:
raise ValueError("Fields must be initialized before calling get_eigenmode_coefficients")
if eig_vol is None:
eig_vol = flux.where

num_bands = len(bands)
coeffs = np.zeros(2 * num_bands, dtype=np.complex128)
self.fields.get_eigenmode_coefficients(flux, np.array(bands, dtype=np.intc), coeffs, None, kpoint_func)
self.fields.get_eigenmode_coefficients(flux, eig_vol, np.array(bands, dtype=np.intc), eig_parity, eig_resolution, eig_tolerance, coeffs, None, kpoint_func)

return coeffs

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21 changes: 16 additions & 5 deletions src/meep.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -1441,10 +1441,10 @@ class fields {
// values of field components at arbitrary points in space.
// call destroy_eigenmode_data() to deallocate it when finished.
void *get_eigenmode(double omega_src, direction d, const volume where,
const volume eig_vol, int band_num,
const vec &kpoint, bool match_frequency=true,
int parity=0, double resolution=0.0,
double eigensolver_tol=1.0e-7, bool verbose=false);
const volume eig_vol, int band_num,
const vec &kpoint, bool match_frequency,
int parity, double resolution,
double eigensolver_tol, bool verbose=false);

void add_eigenmode_source(component c, const src_time &src,
direction d, const volume &where,
Expand All @@ -1457,11 +1457,22 @@ class fields {
std::complex<double> A(const vec &) = 0);

void get_eigenmode_coefficients(dft_flux flux,
int *bands, int num_bands,
const volume &eig_vol,
int *bands, int num_bands, int parity,
double eig_resolution, double eigensolver_tol,
std::complex<double> *coeffs,
double *vgrp, kpoint_func user_kpoint_func=0,
void *user_kpoint_data=0);

void get_eigenmode_coefficients(dft_flux flux,
int *bands, int num_bands, int parity,
std::complex<double> *coeffs,
double *vgrp, kpoint_func user_kpoint_func=0,
void *user_kpoint_data=0) {
get_eigenmode_coefficients(flux, flux.where, bands, num_bands, parity,
0.0, 1e-7, coeffs, vgrp, user_kpoint_func, user_kpoint_data);
}

// initialize.cpp:
void initialize_field(component, std::complex<double> f(const vec &));
void initialize_with_nth_te(int n);
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