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meep.hpp
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/* Copyright (C) 2005-2021 Massachusetts Institute of Technology
%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 2, or (at your option)
% any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software Foundation,
% Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#ifndef MEEP_H
#define MEEP_H
#include <stdio.h>
#include <stddef.h>
#include <math.h>
#include "meep/vec.hpp"
#include "meep/mympi.hpp"
#include <vector>
namespace meep {
/* The (time-domain) fields arrays of the fields_chunk class as well
as the material arrays of the structure_chunk class chi1inv,
chi3, sigma, etc. can be stored using single-precision floating
point rather than double precision (the default). The reduced
precision can provide for up to a factor of 2X improvement in the
time-stepping rate with generally negligible loss in accuracy. */
#define MEEP_SINGLE 0 // 1 for single precision, 0 for double
#if MEEP_SINGLE
typedef float realnum;
#else
typedef double realnum;
#endif
#define MEEP_MIN_OUTPUT_TIME 4.0 // output no more often than this many seconds
extern int
verbosity; // if 0, suppress all non-error messages from Meep; 1 is default, 2 is debug output
const double pi = 3.141592653589793238462643383276;
const double infinity = HUGE_VAL;
#ifdef NAN
const double nan = NAN;
#else
const double nan = -7.0415659787563146e103; // ideally, a value never encountered in practice
#endif
class h5file;
// Defined in monitor.cpp
void matrix_invert(std::complex<double> (&Vinv)[9], std::complex<double> (&V)[9]);
// Defined in dft.cpp
std::vector<double> linspace(double freq_min, double freq_max, size_t Nfreq);
double pml_quadratic_profile(double, void *);
/* generic base class, only used by subclassing: represents susceptibility
polarizability vector P = chi(omega) W (where W = E or H). */
class susceptibility {
public:
susceptibility() {
id = cur_id++;
ntot = 0;
next = NULL;
FOR_COMPONENTS(c) FOR_DIRECTIONS(d) {
sigma[c][d] = NULL;
trivial_sigma[c][d] = true;
}
}
susceptibility(const susceptibility &s) {
id = s.id;
ntot = s.ntot;
next = NULL;
FOR_COMPONENTS(c) FOR_DIRECTIONS(d) {
sigma[c][d] = NULL;
trivial_sigma[c][d] = true;
}
}
virtual susceptibility *clone() const;
virtual ~susceptibility() {
FOR_COMPONENTS(c) FOR_DIRECTIONS(d) { delete[] sigma[c][d]; }
delete next;
}
int get_id() const { return id; }
bool operator==(const susceptibility &s) const { return id == s.id; };
// Returns the 1st order nonlinear susceptibility (generic)
virtual std::complex<realnum> chi1(realnum freq, realnum sigma = 1);
// update all of the internal polarization state given the W field
// at the current time step, possibly the previous field W_prev, etc.
virtual void update_P(realnum *W[NUM_FIELD_COMPONENTS][2],
realnum *W_prev[NUM_FIELD_COMPONENTS][2], realnum dt, const grid_volume &gv,
void *P_internal_data) const {
(void)P;
(void)W;
(void)W_prev;
(void)dt;
(void)gv;
(void)P_internal_data; // avoid warnings for unused params
}
// subtract all of the internal polarizations from the given f_minus_p
// field. Also given the fields array if it is needed for some reason.
// Only update for ft fields.
virtual void subtract_P(field_type ft, realnum *f_minus_p[NUM_FIELD_COMPONENTS][2],
void *P_internal_data) const {
(void)ft;
(void)f_minus_p;
(void)P_internal_data;
}
// whether, for the given field W, Meep needs to allocate P[c]
virtual bool needs_P(component c, int cmp, realnum *W[NUM_FIELD_COMPONENTS][2]) const;
// whether update_P will need the notowned part of W for this c
// (which means that Meep will need to communicate it between chunks)
virtual bool needs_W_notowned(component c, realnum *W[NUM_FIELD_COMPONENTS][2]) const;
// whether update_P needs the W_prev field (from the previous timestep)
virtual bool needs_W_prev() const { return false; }
/* A susceptibility may be associated with any amount of internal
data need to update the polarization field. This includes the
polarization field(s) itself. It may also, for example, store
the polarization field from previous timesteps, atomic-level
populations, or other data. These routines return the size of
this internal-data array and initialize it. */
virtual void *new_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2],
const grid_volume &gv) const {
(void)W;
(void)gv;
return 0;
}
virtual void delete_internal_data(void *data) const;
virtual void init_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], realnum dt,
const grid_volume &gv, void *data) const {
(void)W;
(void)dt;
(void)gv;
(void)data;
}
virtual void *copy_internal_data(void *data) const {
(void)data;
return 0;
}
/* The following methods are used in boundaries.cpp to set up any
extra communications that may be necessary at chunk boundaries
for the internal data of a susceptibility's polarization
state. */
/* the number of notowned fields/data in the internal data that
are needed by update_P for the c Yee grid (note: we assume that we only
have internal data for c's where we have external polarizations) */
virtual int num_internal_notowned_needed(component c, void *P_internal_data) const {
(void)c;
(void)P_internal_data;
return 0;
}
/* the offset into the internal data of the n'th Yee-grid point in
the c Yee grid for the inotowned internal field, where
0 <= inotowned < size_internal_notowned_needed. */
virtual realnum *internal_notowned_ptr(int inotowned, component c, int n,
void *P_internal_data) const {
(void)inotowned;
(void)n;
(void)c;
(void)P_internal_data;
return 0;
}
/* same thing as above, except this gives (possibly complex)
internal fields that need to be multiplied by the same phase
factor as the fields at boundaries. Note: we assume internal fields
are complex if and only if !is_real (i.e. if EM fields are complex) */
virtual int num_cinternal_notowned_needed(component c, void *P_internal_data) const {
(void)c;
(void)P_internal_data;
return 0;
}
// real/imaginary parts offsets for cmp = 0/1
virtual realnum *cinternal_notowned_ptr(int inotowned, component c, int cmp, int n,
void *P_internal_data) const {
(void)inotowned;
(void)n;
(void)c;
(void)cmp;
(void)P_internal_data;
return 0;
}
virtual void dump_params(h5file *h5f, size_t *start) {
(void)h5f;
(void)start;
}
virtual int get_num_params() { return 0; }
// This should only be used when dumping and loading susceptibility data to hdf5
void set_id(int new_id) { id = new_id; };
susceptibility *next;
size_t ntot;
realnum *sigma[NUM_FIELD_COMPONENTS][5];
/* trivial_sigma[c][d] is true only if *none* of the processes has a
nontrivial sigma (c,d) component. This differs, from sigma,
which is non-NULL only if *this* process needs a nontrivial sigma
(c,d). Coordinated between processes at add_susceptibility, no
communication elsewhere. (We need this for boundary
communcations between chunks, where one chunk might have sigma ==
0 and the other != 0.) */
bool trivial_sigma[NUM_FIELD_COMPONENTS][5];
private:
static int cur_id; // unique id to assign to next susceptibility object
int id; // id for this object and its clones, for comparison purposes
};
/* a Lorentzian susceptibility
\chi(\omega) = sigma * omega_0^2 / (\omega_0^2 - \omega^2 - i\gamma \omega)
If no_omega_0_denominator is true, then we omit the omega_0^2 factor in the
denominator to obtain a Drude model. */
class lorentzian_susceptibility : public susceptibility {
public:
lorentzian_susceptibility(realnum omega_0, realnum gamma, bool no_omega_0_denominator = false)
: omega_0(omega_0), gamma(gamma), no_omega_0_denominator(no_omega_0_denominator) {}
virtual susceptibility *clone() const { return new lorentzian_susceptibility(*this); }
virtual ~lorentzian_susceptibility() {}
// Returns the 1st order nonlinear susceptibility
virtual std::complex<realnum> chi1(realnum freq, realnum sigma = 1);
virtual void update_P(realnum *W[NUM_FIELD_COMPONENTS][2],
realnum *W_prev[NUM_FIELD_COMPONENTS][2], realnum dt, const grid_volume &gv,
void *P_internal_data) const;
virtual void subtract_P(field_type ft, realnum *f_minus_p[NUM_FIELD_COMPONENTS][2],
void *P_internal_data) const;
virtual void *new_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], const grid_volume &gv) const;
virtual void init_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], realnum dt,
const grid_volume &gv, void *data) const;
virtual void *copy_internal_data(void *data) const;
virtual int num_cinternal_notowned_needed(component c, void *P_internal_data) const;
virtual realnum *cinternal_notowned_ptr(int inotowned, component c, int cmp, int n,
void *P_internal_data) const;
virtual void dump_params(h5file *h5f, size_t *start);
virtual int get_num_params() { return 4; }
protected:
realnum omega_0, gamma;
bool no_omega_0_denominator;
};
/* like a Lorentzian susceptibility, but the polarization equation
includes white noise with a specified amplitude */
class noisy_lorentzian_susceptibility : public lorentzian_susceptibility {
public:
noisy_lorentzian_susceptibility(realnum noise_amp, realnum omega_0, realnum gamma,
bool no_omega_0_denominator = false)
: lorentzian_susceptibility(omega_0, gamma, no_omega_0_denominator), noise_amp(noise_amp) {}
virtual susceptibility *clone() const { return new noisy_lorentzian_susceptibility(*this); }
virtual void update_P(realnum *W[NUM_FIELD_COMPONENTS][2],
realnum *W_prev[NUM_FIELD_COMPONENTS][2], realnum dt, const grid_volume &gv,
void *P_internal_data) const;
virtual void dump_params(h5file *h5f, size_t *start);
virtual int get_num_params() { return 5; }
protected:
realnum noise_amp;
};
typedef enum { GYROTROPIC_LORENTZIAN, GYROTROPIC_DRUDE, GYROTROPIC_SATURATED } gyrotropy_model;
/* gyrotropic susceptibility */
class gyrotropic_susceptibility : public susceptibility {
public:
gyrotropic_susceptibility(const vec &bias, realnum omega_0, realnum gamma, realnum alpha = 0.0,
gyrotropy_model model = GYROTROPIC_LORENTZIAN);
virtual susceptibility *clone() const { return new gyrotropic_susceptibility(*this); }
virtual void *new_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], const grid_volume &gv) const;
virtual void init_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], realnum dt,
const grid_volume &gv, void *data) const;
virtual void *copy_internal_data(void *data) const;
virtual bool needs_P(component c, int cmp, realnum *W[NUM_FIELD_COMPONENTS][2]) const;
virtual void update_P(realnum *W[NUM_FIELD_COMPONENTS][2],
realnum *W_prev[NUM_FIELD_COMPONENTS][2], realnum dt, const grid_volume &gv,
void *P_internal_data) const;
virtual void subtract_P(field_type ft, realnum *f_minus_p[NUM_FIELD_COMPONENTS][2],
void *P_internal_data) const;
virtual int num_cinternal_notowned_needed(component c, void *P_internal_data) const;
virtual realnum *cinternal_notowned_ptr(int inotowned, component c, int cmp, int n,
void *P_internal_data) const;
virtual void dump_params(h5file *h5f, size_t *start);
virtual int get_num_params() { return 8; }
virtual bool needs_W_notowned(component c, realnum *W[NUM_FIELD_COMPONENTS][2]) const {
(void)c;
(void)W;
return true;
}
protected:
realnum gyro_tensor[3][3];
realnum omega_0, gamma, alpha;
gyrotropy_model model;
};
class multilevel_susceptibility : public susceptibility {
public:
multilevel_susceptibility() : L(0), T(0), Gamma(0), N0(0), alpha(0), omega(0), gamma(0) {}
multilevel_susceptibility(int L, int T, const realnum *Gamma, const realnum *N0,
const realnum *alpha, const realnum *omega, const realnum *gamma,
const realnum *sigmat);
multilevel_susceptibility(const multilevel_susceptibility &from);
virtual susceptibility *clone() const { return new multilevel_susceptibility(*this); }
virtual ~multilevel_susceptibility();
virtual void update_P(realnum *W[NUM_FIELD_COMPONENTS][2],
realnum *W_prev[NUM_FIELD_COMPONENTS][2], realnum dt, const grid_volume &gv,
void *P_internal_data) const;
virtual void subtract_P(field_type ft, realnum *f_minus_p[NUM_FIELD_COMPONENTS][2],
void *P_internal_data) const;
virtual void *new_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], const grid_volume &gv) const;
virtual void init_internal_data(realnum *W[NUM_FIELD_COMPONENTS][2], realnum dt,
const grid_volume &gv, void *data) const;
virtual void *copy_internal_data(void *data) const;
virtual void delete_internal_data(void *data) const;
virtual int num_cinternal_notowned_needed(component c, void *P_internal_data) const;
virtual realnum *cinternal_notowned_ptr(int inotowned, component c, int cmp, int n,
void *P_internal_data) const;
// always need notowned W and W_prev for E dot dP/dt terms
virtual bool needs_W_notowned(component c, realnum *W[NUM_FIELD_COMPONENTS][2]) const {
(void)c;
(void)W;
return true;
}
virtual bool needs_W_prev() const { return true; }
protected:
int L; // number of atom levels
int T; // number of optical transitions
realnum *Gamma; // LxL matrix of relaxation rates Gamma[i*L+j] from i -> j
realnum *N0; // L initial populations
realnum *alpha; // LxT matrix of transition coefficients 1/omega
realnum *omega; // T transition frequencies
realnum *gamma; // T optical loss rates
realnum *sigmat; // 5*T transition-specific sigma-diagonal factors
};
// h5file.cpp: HDF5 file I/O. Most users, if they use this
// class at all, will only use the constructor to open the file, and
// will otherwise use the fields::output_hdf5 functions.
class h5file {
public:
typedef enum { READONLY, READWRITE, WRITE } access_mode;
h5file(const char *filename_, access_mode m = READWRITE, bool parallel_ = true);
~h5file(); // closes the files (and any open dataset)
bool ok();
void *read(const char *dataname, int *rank, size_t *dims, int maxrank,
bool single_precision = true);
void write(const char *dataname, int rank, const size_t *dims, void *data,
bool single_precision = true);
char *read(const char *dataname);
void write(const char *dataname, const char *data);
void create_data(const char *dataname, int rank, const size_t *dims, bool append_data = false,
bool single_precision = true);
void extend_data(const char *dataname, int rank, const size_t *dims);
void create_or_extend_data(const char *dataname, int rank, const size_t *dims, bool append_data,
bool single_precision = true);
void write_chunk(int rank, const size_t *chunk_start, const size_t *chunk_dims, float *data);
void write_chunk(int rank, const size_t *chunk_start, const size_t *chunk_dims, double *data);
void write_chunk(int rank, const size_t *chunk_start, const size_t *chunk_dims, size_t *data);
void done_writing_chunks();
void read_size(const char *dataname, int *rank, size_t *dims, int maxrank);
void read_chunk(int rank, const size_t *chunk_start, const size_t *chunk_dims, float *data);
void read_chunk(int rank, const size_t *chunk_start, const size_t *chunk_dims, double *data);
void read_chunk(int rank, const size_t *chunk_start, const size_t *chunk_dims, size_t *data);
void remove();
void remove_data(const char *dataname);
const char *file_name() const { return filename; }
void prevent_deadlock(); // hackery for exclusive mode
bool dataset_exists(const char *name);
private:
access_mode mode;
char *filename;
bool parallel;
bool is_cur(const char *dataname);
void unset_cur();
void set_cur(const char *dataname, void *data_id);
char *cur_dataname;
/* store hid_t values as hid_t* cast to void*, so that
files including meep.h don't need hdf5.h */
void *id; /* file */
void *cur_id; /* dataset, if any */
void *get_id(); // get current (file) id, opening/creating file if needed
void close_id();
public:
/* linked list to keep track of which datasets we are extending...
this is necessary so that create_or_extend_data can know whether
to create (overwrite) a dataset or extend it. */
struct extending_s {
int dindex;
char *dataname;
struct extending_s *next;
} * extending;
extending_s *get_extending(const char *dataname) const;
};
typedef double (*pml_profile_func)(double u, void *func_data);
#define DEFAULT_SUBPIXEL_TOL 1e-4
#define DEFAULT_SUBPIXEL_MAXEVAL 100000
/* This class is used to compute position-dependent material properties
like the dielectric function, permeability (mu), polarizability sigma,
nonlinearities, et cetera. Simple cases of stateless functions are
handled by canned subclasses below, but more complicated cases
can be handled by creating a user-defined subclass of material_function.
It is useful to group different properties into one class because
it is likely that complicated implementations will share state between
properties. */
class material_function {
material_function(const material_function &ef) { (void)ef; } // prevent copying
public:
material_function() {}
virtual ~material_function() {}
/* Specify a restricted grid_volume: all subsequent eps/sigma/etc
calls will be for points inside v, until the next set_volume. */
virtual void set_volume(const volume &v) { (void)v; }
virtual void unset_volume(void) {} // unrestrict the grid_volume
virtual double chi1p1(field_type ft, const vec &r) {
(void)ft;
(void)r;
return 1.0;
}
/* scalar dielectric function */
virtual double eps(const vec &r) { return chi1p1(E_stuff, r); }
/* scalar permeability function */
virtual bool has_mu() { return false; } /* true if mu != 1 */
virtual double mu(const vec &r) { return chi1p1(H_stuff, r); }
/* scalar conductivity function */
virtual bool has_conductivity(component c) {
(void)c;
return false;
}
virtual double conductivity(component c, const vec &r) {
(void)c;
(void)r;
return 0.0;
}
// fallback routine based on spherical quadrature
vec normal_vector(field_type ft, const volume &v);
/* Return c'th row of effective 1/(1+chi1) tensor in the given grid_volume v
... virtual so that e.g. libctl can override with more-efficient
libctlgeom-based routines. maxeval == 0 if no averaging desired. */
virtual void eff_chi1inv_row(component c, double chi1inv_row[3], const volume &v,
double tol = DEFAULT_SUBPIXEL_TOL,
int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
/* polarizability sigma function: return c'th row of tensor */
virtual void sigma_row(component c, double sigrow[3], const vec &r) {
(void)c;
(void)r;
sigrow[0] = sigrow[1] = sigrow[2] = 0.0;
}
// Nonlinear susceptibilities
virtual bool has_chi3(component c) {
(void)c;
return false;
}
virtual double chi3(component c, const vec &r) {
(void)c;
(void)r;
return 0.0;
}
virtual bool has_chi2(component c) {
(void)c;
return false;
}
virtual double chi2(component c, const vec &r) {
(void)c;
(void)r;
return 0.0;
}
};
class simple_material_function : public material_function {
double (*f)(const vec &);
public:
simple_material_function(double (*func)(const vec &)) { f = func; }
virtual ~simple_material_function() {}
virtual double chi1p1(field_type ft, const vec &r) {
(void)ft;
return f(r);
}
virtual double eps(const vec &r) { return f(r); }
virtual double mu(const vec &r) { return f(r); }
virtual double conductivity(component c, const vec &r) {
(void)c;
return f(r);
}
virtual void sigma_row(component c, double sigrow[3], const vec &r) {
sigrow[0] = sigrow[1] = sigrow[2] = 0.0;
sigrow[component_index(c)] = f(r);
}
virtual double chi3(component c, const vec &r) {
(void)c;
return f(r);
}
virtual double chi2(component c, const vec &r) {
(void)c;
return f(r);
}
};
class structure;
class structure_chunk {
public:
double a, Courant, dt; // resolution a, Courant number, and timestep dt=Courant/a
realnum *chi3[NUM_FIELD_COMPONENTS], *chi2[NUM_FIELD_COMPONENTS];
realnum *chi1inv[NUM_FIELD_COMPONENTS][5];
bool trivial_chi1inv[NUM_FIELD_COMPONENTS][5];
realnum *conductivity[NUM_FIELD_COMPONENTS][5];
realnum *condinv[NUM_FIELD_COMPONENTS][5]; // cache of 1/(1+conduct*dt/2)
bool condinv_stale; // true if condinv needs to be recomputed
realnum *sig[6], *kap[6], *siginv[6]; // conductivity array for uPML
int sigsize[6]; // conductivity array size
grid_volume gv; // integer grid_volume that could be bigger than non-overlapping v below
volume v;
susceptibility *chiP[NUM_FIELD_TYPES]; // only E_stuff and H_stuff are used
double
cost; // The cost of this chunk's grid_volume as computed by split_by_cost and fragment_stats
int refcount; // reference count of objects using this structure_chunk
~structure_chunk();
structure_chunk(const grid_volume &gv, const volume &vol_limit, double Courant, int proc_num);
structure_chunk(const structure_chunk *);
void set_chi1inv(component c, material_function &eps, bool use_anisotropic_averaging, double tol,
int maxeval);
bool has_chi(component c, direction d) const;
bool has_chisigma(component c, direction d) const;
bool has_chi1inv(component c, direction d) const;
void set_conductivity(component c, material_function &eps);
void update_condinv();
void set_chi3(component c, material_function &eps);
void set_chi2(component c, material_function &eps);
void use_pml(direction, double dx, double boundary_loc, double Rasymptotic, double mean_stretch,
pml_profile_func pml_profile, void *pml_profile_data, double pml_profile_integral,
double pml_profile_integral_u);
void add_susceptibility(material_function &sigma, field_type ft, const susceptibility &sus);
void mix_with(const structure_chunk *, double);
int n_proc() const { return the_proc; } // Says which proc owns me!
int is_mine() const { return the_is_mine; }
void remove_susceptibilities();
// monitor.cpp
std::complex<double> get_chi1inv_at_pt(component, direction, int idx, double frequency = 0) const;
std::complex<double> get_chi1inv(component, direction, const ivec &iloc,
double frequency = 0) const;
std::complex<double> get_inveps(component c, direction d, const ivec &iloc,
double frequency = 0) const {
return get_chi1inv(c, d, iloc, frequency);
}
double max_eps() const;
private:
double pml_fmin;
int the_proc;
int the_is_mine;
};
// linked list of descriptors for boundary regions (currently just for PML)
class boundary_region {
public:
typedef enum { NOTHING_SPECIAL, PML } boundary_region_kind;
boundary_region()
: kind(NOTHING_SPECIAL), thickness(0.0), Rasymptotic(1e-16), mean_stretch(1.0),
pml_profile(NULL), pml_profile_data(NULL), pml_profile_integral(1.0),
pml_profile_integral_u(1.0), d(NO_DIRECTION), side(Low), next(0) {}
boundary_region(boundary_region_kind kind, double thickness, double Rasymptotic,
double mean_stretch, pml_profile_func pml_profile, void *pml_profile_data,
double pml_profile_integral, double pml_profile_integral_u, direction d,
boundary_side side, boundary_region *next = 0)
: kind(kind), thickness(thickness), Rasymptotic(Rasymptotic), mean_stretch(mean_stretch),
pml_profile(pml_profile), pml_profile_data(pml_profile_data),
pml_profile_integral(pml_profile_integral), pml_profile_integral_u(pml_profile_integral_u),
d(d), side(side), next(next) {}
boundary_region(const boundary_region &r)
: kind(r.kind), thickness(r.thickness), Rasymptotic(r.Rasymptotic),
mean_stretch(r.mean_stretch), pml_profile(r.pml_profile),
pml_profile_data(r.pml_profile_data), pml_profile_integral(r.pml_profile_integral),
pml_profile_integral_u(r.pml_profile_integral_u), d(r.d), side(r.side) {
next = r.next ? new boundary_region(*r.next) : 0;
}
~boundary_region() {
if (next) delete next;
}
void operator=(const boundary_region &r) {
kind = r.kind;
thickness = r.thickness;
Rasymptotic = r.Rasymptotic;
mean_stretch = r.mean_stretch;
pml_profile = r.pml_profile;
pml_profile_data = r.pml_profile_data;
pml_profile_integral = r.pml_profile_integral;
pml_profile_integral_u = r.pml_profile_integral_u;
d = r.d;
side = r.side;
if (next) delete next;
next = r.next ? new boundary_region(*r.next) : 0;
}
boundary_region operator+(const boundary_region &r0) const {
boundary_region r(*this), *cur = &r;
while (cur->next)
cur = cur->next;
cur->next = new boundary_region(r0);
return r;
}
boundary_region operator*(double strength_mult) const {
boundary_region r(*this), *cur = &r;
while (cur) {
cur->Rasymptotic = pow(cur->Rasymptotic, strength_mult);
cur = cur->next;
}
return r;
}
void apply(structure *s) const;
void apply(const structure *s, structure_chunk *sc) const;
bool check_ok(const grid_volume &gv) const;
private:
boundary_region_kind kind;
double thickness, Rasymptotic, mean_stretch;
pml_profile_func pml_profile;
void *pml_profile_data;
double pml_profile_integral, pml_profile_integral_u;
direction d;
boundary_side side;
boundary_region *next;
};
boundary_region pml(double thickness, direction d, boundary_side side, double Rasymptotic = 1e-15,
double mean_stretch = 1.0);
boundary_region pml(double thickness, direction d, double Rasymptotic = 1e-15,
double mean_stretch = 1.0);
boundary_region pml(double thickness, double Rasymptotic = 1e-15, double mean_stretch = 1.0);
#define no_pml() boundary_region()
class binary_partition;
class structure {
public:
structure_chunk **chunks;
int num_chunks;
bool shared_chunks; // whether modifications to chunks will be visible to fields objects
grid_volume gv, user_volume;
double a, Courant, dt; // resolution a, Courant number, and timestep dt=Courant/a
volume v;
symmetry S;
const char *outdir;
grid_volume *effort_volumes;
double *effort;
int num_effort_volumes;
~structure();
structure();
structure(const grid_volume &gv, material_function &eps,
const boundary_region &br = boundary_region(), const symmetry &s = meep::identity(),
int num_chunks = 0, double Courant = 0.5, bool use_anisotropic_averaging = false,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
structure(const grid_volume &gv, double eps(const vec &),
const boundary_region &br = boundary_region(), const symmetry &s = meep::identity(),
int num_chunks = 0, double Courant = 0.5, bool use_anisotropic_averaging = false,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
structure(const structure *);
structure(const structure &);
void set_materials(material_function &mat, bool use_anisotropic_averaging = true,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
void set_chi1inv(component c, material_function &eps, bool use_anisotropic_averaging = true,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
bool has_chi(component c, direction d) const;
void set_epsilon(material_function &eps, bool use_anisotropic_averaging = true,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
void set_epsilon(double eps(const vec &), bool use_anisotropic_averaging = true,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
void set_mu(material_function &eps, bool use_anisotropic_averaging = true,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
void set_mu(double mu(const vec &), bool use_anisotropic_averaging = true,
double tol = DEFAULT_SUBPIXEL_TOL, int maxeval = DEFAULT_SUBPIXEL_MAXEVAL);
void set_conductivity(component c, material_function &conductivity);
void set_conductivity(component C, double conductivity(const vec &));
void set_chi3(component c, material_function &eps);
void set_chi3(material_function &eps);
void set_chi3(double eps(const vec &));
void set_chi2(component c, material_function &eps);
void set_chi2(material_function &eps);
void set_chi2(double eps(const vec &));
void add_susceptibility(double sigma(const vec &), field_type c, const susceptibility &sus);
void add_susceptibility(material_function &sigma, field_type c, const susceptibility &sus);
void remove_susceptibilities();
void set_output_directory(const char *name);
void mix_with(const structure *, double);
bool equal_layout(const structure &) const;
void print_layout(void) const;
std::vector<grid_volume> get_chunk_volumes() const;
std::vector<int> get_chunk_owners() const;
// structure_dump.cpp
void dump(const char *filename);
void dump_chunk_layout(const char *filename);
void load(const char *filename);
void load_chunk_layout(const char *filename, boundary_region &br);
void load_chunk_layout(const binary_partition *bp, boundary_region &br);
void load_chunk_layout(const std::vector<grid_volume> &gvs,
const std::vector<int> &ids,
boundary_region &br);
// monitor.cpp
std::complex<double> get_chi1inv(component, direction, const ivec &origloc, double frequency = 0,
bool parallel = true) const;
std::complex<double> get_chi1inv(component, direction, const vec &loc, double frequency = 0,
bool parallel = true) const;
std::complex<double> get_inveps(component c, direction d, const ivec &origloc,
double frequency = 0) const {
return get_chi1inv(c, d, origloc, frequency);
}
std::complex<double> get_inveps(component c, direction d, const vec &loc,
double frequency = 0) const {
return get_chi1inv(c, d, loc, frequency);
}
std::complex<double> get_eps(const vec &loc, double frequency = 0) const;
std::complex<double> get_mu(const vec &loc, double frequency = 0) const;
double max_eps() const;
double estimated_cost(int process = my_rank());
friend class boundary_region;
private:
void use_pml(direction d, boundary_side b, double dx);
void add_to_effort_volumes(const grid_volume &new_effort_volume, double extra_effort);
void choose_chunkdivision(const grid_volume &gv, int num_chunks, const boundary_region &br,
const symmetry &s);
void check_chunks();
void changing_chunks();
// Helper methods for dumping and loading susceptibilities
void set_chiP_from_file(h5file *file, const char *dataset, field_type ft);
void write_susceptibility_params(h5file *file, const char *dname, int EorH);
};
// defined in structure.cpp
std::vector<grid_volume> choose_chunkdivision(grid_volume &gv,
volume &v,
int num_chunks,
const symmetry &s);
class src_vol;
class fields;
class fields_chunk;
class flux_vol;
// Time-dependence of a current source, intended to be overridden by
// subclasses. current() and dipole() are be related by
// current = d(dipole)/dt (or rather, the finite-difference equivalent).
class src_time {
public:
// the following variable specifies whether the current
// source is specified as a current or as an integrated
// current (a dipole moment), if possible. In the original Meep,
// by default electric sources are integrated and magnetic
// sources are not, but this may change.
bool is_integrated;
src_time() {
is_integrated = true;
current_time = nan;
current_current = 0.0;
next = NULL;
}
virtual ~src_time() { delete next; }
src_time(const src_time &t) {
is_integrated = t.is_integrated;
current_time = t.current_time;
current_current = t.current_current;
current_dipole = t.current_dipole;
if (t.next)
next = t.next->clone();
else
next = NULL;
}
std::complex<double> dipole() const { return current_dipole; }
std::complex<double> current() const { return current_current; }
void update(double time, double dt) {
if (time != current_time) {
current_dipole = dipole(time);
current_current = current(time, dt);
current_time = time;
}
}
// subclasses *can* override this method in order to specify the
// current directly rather than as the derivative of dipole.
// in that case you would probably ignore the dt argument.
virtual std::complex<double> current(double time, double dt) const {
return ((dipole(time + dt) - dipole(time)) / dt);
}
double last_time_max() { return last_time_max(0.0); }
double last_time_max(double after);
src_time *add_to(src_time *others, src_time **added) const;
src_time *next;
// subclasses should override these methods:
virtual std::complex<double> dipole(double time) const {
(void)time;
return 0;
}
virtual double last_time() const { return 0.0; }
virtual src_time *clone() const { return new src_time(*this); }
virtual bool is_equal(const src_time &t) const {
(void)t;
return 1;
}
virtual std::complex<double> frequency() const { return 0.0; }
virtual void set_frequency(std::complex<double> f) { (void)f; }
private:
double current_time;
std::complex<double> current_dipole, current_current;
};
bool src_times_equal(const src_time &t1, const src_time &t2);
// Gaussian-envelope source with given frequency, width, peak-time, cutoff
class gaussian_src_time : public src_time {
public:
gaussian_src_time(double f, double fwidth, double s = 5.0);
gaussian_src_time(double f, double w, double start_time, double end_time);
virtual ~gaussian_src_time() {}
virtual std::complex<double> dipole(double time) const;
virtual double last_time() const { return float(peak_time + cutoff); };
virtual src_time *clone() const { return new gaussian_src_time(*this); }
virtual bool is_equal(const src_time &t) const;
virtual std::complex<double> frequency() const { return freq; }
virtual void set_frequency(std::complex<double> f) { freq = real(f); }
std::complex<double> fourier_transform(const double f);
private:
double freq, width, peak_time, cutoff;
};
// Continuous (CW) source with (optional) slow turn-on and/or turn-off.
class continuous_src_time : public src_time {
public:
continuous_src_time(std::complex<double> f, double w = 0.0, double st = 0.0, double et = infinity,
double s = 3.0)
: freq(f), width(w), start_time(float(st)), end_time(float(et)), slowness(s) {}
virtual ~continuous_src_time() {}
virtual std::complex<double> dipole(double time) const;
virtual double last_time() const { return end_time; };
virtual src_time *clone() const { return new continuous_src_time(*this); }
virtual bool is_equal(const src_time &t) const;
virtual std::complex<double> frequency() const { return freq; }
virtual void set_frequency(std::complex<double> f) { freq = f; }
private:
std::complex<double> freq;
double width, start_time, end_time, slowness;
};
// user-specified source function with start and end times
class custom_src_time : public src_time {
public:
custom_src_time(std::complex<double> (*func)(double t, void *), void *data, double st = -infinity,
double et = infinity, std::complex<double> f = 0)
: func(func), data(data), freq(f), start_time(float(st)), end_time(float(et)) {}
virtual ~custom_src_time() {}
virtual std::complex<double> current(double time, double dt) const {
if (is_integrated)
return src_time::current(time, dt);
else
return dipole(time);
}
virtual std::complex<double> dipole(double time) const {
float rtime = float(time);
if (rtime >= start_time && rtime <= end_time)
return func(time, data);
else
return 0.0;
}
virtual double last_time() const { return end_time; };
virtual src_time *clone() const { return new custom_src_time(*this); }
virtual bool is_equal(const src_time &t) const;
virtual std::complex<double> frequency() const { return freq; }
virtual void set_frequency(std::complex<double> f) { freq = f; }
private:
std::complex<double> (*func)(double t, void *);
void *data;
std::complex<double> freq;
double start_time, end_time;
};
class monitor_point {
public:
monitor_point();
~monitor_point();
vec loc;
double t;
std::complex<double> f[NUM_FIELD_COMPONENTS];
monitor_point *next;
std::complex<double> get_component(component);
double poynting_in_direction(direction d);
double poynting_in_direction(vec direction_v);
// When called with only its first four arguments, fourier_transform
// performs an FFT on its monitor points, putting the frequencies in f
// and the amplitudes in a. Yes, the frequencies are trivial and
// redundant, but this saves you the risk of making a mistake in
// converting your units. Note also, that in this case f is always a
// real number, although it's stored in a complex.
//
// Note that in either case, fourier_transform assumes that the monitor
// points are all equally spaced in time.
void fourier_transform(component w, std::complex<double> **a, std::complex<double> **f,
int *numout, double fmin = 0.0, double fmax = 0.0, int maxbands = 100);
// harminv works much like fourier_transform, except that it is not yet
// implemented.
void harminv(component w, std::complex<double> **a, std::complex<double> **f, int *numout,