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Implement proper kappa for PML

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This commit is contained in:
Jan Petykiewicz 2018-11-29 02:00:30 -08:00
parent f00c8b4a3e
commit cb471df182
3 changed files with 17 additions and 8 deletions
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2
opencl_fdtd/kernels/update_e.cl
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@ -64,6 +64,8 @@ if ( s{{r}} > {{r}} && {{r}} >= s{{r}} - pml_{{r ~ p}}_thickness ) {
{%- endif %} {%- endif %}
const size_t ip = {{v}} + {{u}} * s{{v}} + ir * s{{v}} * s{{u}}; // linear index into Psi const size_t ip = {{v}} + {{u}} * s{{v}} + ir * s{{v}} * s{{u}}; // linear index into Psi
dH{{v ~ r}} *= p{{r}}2e{{p}}[ir];
dH{{u ~ r}} *= p{{r}}2e{{p}}[ir];
{{psi ~ u}}[ip] = p{{r}}0e{{p}}[ir] * {{psi ~ u}}[ip] + p{{r}}1e{{p}}[ir] * dH{{v ~ r}}; {{psi ~ u}}[ip] = p{{r}}0e{{p}}[ir] * {{psi ~ u}}[ip] + p{{r}}1e{{p}}[ir] * dH{{v ~ r}};
{{psi ~ v}}[ip] = p{{r}}0e{{p}}[ir] * {{psi ~ v}}[ip] + p{{r}}1e{{p}}[ir] * dH{{u ~ r}}; {{psi ~ v}}[ip] = p{{r}}0e{{p}}[ir] * {{psi ~ v}}[ip] + p{{r}}1e{{p}}[ir] * dH{{u ~ r}};
pE{{u}}i {{se}}= {{psi ~ u}}[ip]; pE{{u}}i {{se}}= {{psi ~ u}}[ip];

4
opencl_fdtd/kernels/update_h.cl
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@ -45,6 +45,8 @@ ftype aEzy = Ez[i + py] + Ez[i];
{%- endif %} {%- endif %}
/* /*
* PML Update * PML Update
*/ */
@ -78,6 +80,8 @@ if ( s{{r}} > {{r}} && {{r}} >= s{{r}} - pml_{{r ~ p}}_thickness ) {
{%- endif %} {%- endif %}
const size_t ip = {{v}} + {{u}} * s{{v}} + ir * s{{v}} * s{{u}}; // linear index into Psi const size_t ip = {{v}} + {{u}} * s{{v}} + ir * s{{v}} * s{{u}}; // linear index into Psi
dE{{v ~ r}} *= p{{r}}2h{{p}}[ir];
dE{{u ~ r}} *= p{{r}}2h{{p}}[ir];
{{psi ~ u}}[ip] = p{{r}}0h{{p}}[ir] * {{psi ~ u}}[ip] + p{{r}}1h{{p}}[ir] * dE{{v ~ r}}; {{psi ~ u}}[ip] = p{{r}}0h{{p}}[ir] * {{psi ~ u}}[ip] + p{{r}}1h{{p}}[ir] * dE{{v ~ r}};
{{psi ~ v}}[ip] = p{{r}}0h{{p}}[ir] * {{psi ~ v}}[ip] + p{{r}}1h{{p}}[ir] * dE{{u ~ r}}; {{psi ~ v}}[ip] = p{{r}}0h{{p}}[ir] * {{psi ~ v}}[ip] + p{{r}}1h{{p}}[ir] * dE{{u ~ r}};
pH{{u}}i {{sh}}= {{psi ~ u}}[ip]; pH{{u}}i {{sh}}= {{psi ~ u}}[ip];

19
opencl_fdtd/simulation.py
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@ -203,16 +203,19 @@ class Simulation(object):
for pml in pmls: for pml in pmls:
a = 'xyz'.find(pml['axis']) a = 'xyz'.find(pml['axis'])
sigma_max = -pml['ln_R_per_layer'] / 2 * (pml['m'] + 1) / \ sigma_max = -pml['ln_R_per_layer'] / 2 * (pml['m'] + 1)
numpy.sqrt(pml['epsilon_eff'] * pml['mu_eff']) kappa_max = numpy.sqrt(pml['mu_eff'] * pml['epsilon_eff'])
alpha_max = 0 # TODO: Nonzero alpha alpha_max = 0 # TODO: Nonzero alpha?
def par(x): def par(x):
sigma = ((x / pml['thickness']) ** pml['m']) * sigma_max scaling = ((x / (pml['thickness'])) ** pml['m'])
sigma = scaling * sigma_max
kappa = 1 + scaling * (kappa_max - 1)
alpha = ((1 - x / pml['thickness']) ** pml['ma']) * alpha_max alpha = ((1 - x / pml['thickness']) ** pml['ma']) * alpha_max
p0 = numpy.exp(-(sigma + alpha) * dt) p0 = numpy.exp(-(sigma / kappa + alpha) * self.dt)
p1 = sigma / (sigma + alpha) * (p0 - 1) p1 = sigma / (sigma + kappa * alpha) * (p0 - 1)
return p0, p1 p2 = 1/kappa
return p0, p1, p2
xe, xh = (numpy.arange(1, pml['thickness'] + 1, dtype=self.arg_type)[::-1] for _ in range(2)) xe, xh = (numpy.arange(1, pml['thickness'] + 1, dtype=self.arg_type)[::-1] for _ in range(2))
if pml['polarity'] == 'p': if pml['polarity'] == 'p':
@ -220,7 +223,7 @@ class Simulation(object):
elif pml['polarity'] == 'n': elif pml['polarity'] == 'n':
xh -= 0.5 xh -= 0.5
pml_p_names = [['p' + pml['axis'] + i + eh + pml['polarity'] for i in '01'] for eh in 'eh'] pml_p_names = [['p' + pml['axis'] + i + eh + pml['polarity'] for i in '012'] for eh in 'eh']
for name_e, name_h, pe, ph in zip(pml_p_names[0], pml_p_names[1], par(xe), par(xh)): for name_e, name_h, pe, ph in zip(pml_p_names[0], pml_p_names[1], par(xe), par(xh)):
pml_e_fields[ptr(name_e)] = pyopencl.array.to_device(self.queue, pe) pml_e_fields[ptr(name_e)] = pyopencl.array.to_device(self.queue, pe)
pml_h_fields[ptr(name_h)] = pyopencl.array.to_device(self.queue, ph) pml_h_fields[ptr(name_h)] = pyopencl.array.to_device(self.queue, ph)