Index

_

__add__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) (essos.losses.base_loss method) __call__() (essos.losses.composite_loss method) (essos.losses.custom_loss method) __contains__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __eq__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __exclude_coil__() (essos.coils.Coils method) __getitem__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __iter__() (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) (essos.losses.base_loss method) __len__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __mul__() (essos.losses.base_loss method) (essos.losses.custom_loss method) __ne__() (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __next__() (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __repr__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) __rmul__() (essos.losses.base_loss method) __str__() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) _build_available_inputs() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) _build_coils_from_x() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) _call_loss_fn() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) _compute_gamma() (essos.coils.Curves method) (essos.surfaces.SurfaceRZFourier method) _compute_gamma_dash() (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) _compute_gamma_dashdash() (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) _compute_meshgrid() (essos.surfaces.SurfaceRZFourier method) _compute_mode_scaling() (essos.coils.Curves static method) _compute_properties() (essos.surfaces.SurfaceRZFourier method) _compute_scaling() (essos.surfaces.SurfaceRZFourier static method) _currents (essos.coils.DiscretizedCoils attribute) _currents_as_array() (in module essos.coils) _currents_scale (essos.coils.DiscretizedCoils attribute) _curvature (essos.coils.DiscretizedCoils attribute) _dependencies (essos.augmented_lagrangian.CompositeConstraint attribute) (essos.augmented_lagrangian.SelectiveConstraint attribute) (essos.losses.base_loss attribute) _dependencies_buffer (essos.losses.base_loss attribute) _dofs_currents (essos.coils.DiscretizedCoils attribute)

_dofs_currents_raw (essos.coils.DiscretizedCoils attribute) _dofs_to_args (essos.losses.custom_loss attribute) _dofs_to_pytree (essos.augmented_lagrangian.CompositeConstraint attribute) (essos.augmented_lagrangian.SelectiveConstraint attribute) (essos.losses.base_loss attribute) _draw_curve_perturbation() (in module essos.coil_perturbation) _ensure_unravelers() (essos.losses.custom_loss method) _fit_real_fourier_batch() (in module essos.coils) _gamma (essos.coils.DiscretizedCoils attribute) _gamma_dash (essos.coils.DiscretizedCoils attribute) (essos.fields.BiotSavart_from_gamma attribute) _gamma_dashdash (essos.coils.DiscretizedCoils attribute) (essos.fields.BiotSavart_from_gamma attribute) _generate_initial_coils() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) _get_filtered_args() (essos.augmented_lagrangian.SelectiveConstraint method) _initial_scale (essos.augmented_lagrangian.ScaledConstraint attribute) _initial_scale_scalar (essos.augmented_lagrangian.ScaledConstraint attribute) _initialize_currents_scale() (in module essos.coils) _initialize_scale_fixed() (in module essos.coils) _initialize_state() (essos.coils.Coils method) (essos.coils.Curves method) (essos.surfaces.SurfaceRZFourier method) _length (essos.coils.DiscretizedCoils attribute) _make_curves_like() (in module essos.coil_perturbation) _multiplier_like() (in module essos.augmented_lagrangian) _n_segments (essos.coils.DiscretizedCoils attribute) _nfp (essos.coils.DiscretizedCoils attribute) _normalize_base_currents() (in module essos.coils) _normalize_scaling_type() (essos.coils.Curves static method) (essos.surfaces.SurfaceRZFourier static method) _objective() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) _r_axis (essos.fields.BiotSavart attribute) _resample_closed_curve_uniform_batch() (in module essos.coils) _resample_closed_curve_uniform_one() (in module essos.coils) _scale_fixed (essos.coils.DiscretizedCoils attribute) _squared_flux_global() (in module essos.surfaces) _squared_flux_local() (in module essos.surfaces) _squared_flux_normalized() (in module essos.surfaces) _starting_dofs (essos.augmented_lagrangian.CompositeConstraint attribute) (essos.augmented_lagrangian.SelectiveConstraint attribute) (essos.losses.base_loss attribute) _stellsym (essos.coils.DiscretizedCoils attribute) _surface (essos.fields.Vmec attribute) _trajectories (essos.dynamics.Tracing attribute) _tree_flatten() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) (essos.dynamics.Tracing method) (essos.fields.BiotSavart method) (essos.surfaces.SurfaceRZFourier method) _tree_unflatten() (essos.coils.Coils class method) (essos.coils.Curves class method) (essos.coils.DiscretizedCoils class method) (essos.dynamics.Tracing class method) (essos.fields.BiotSavart class method) (essos.surfaces.SurfaceRZFourier class method) _z_axis (essos.fields.BiotSavart attribute)

A

AbsB() (essos.fields.MagneticField method) (essos.fields.Vmec method) ALM (class in essos.augmented_lagrangian) ALM_model_jaxopt_lbfgsb() (in module essos.augmented_lagrangian) ALPHA_PARTICLE_CHARGE (in module essos.constants) ALPHA_PARTICLE_MASS (in module essos.constants) Aminor_p (essos.electric_field.Electric_field_flux attribute) (essos.fields.Vmec attribute) angles (essos.surfaces.SurfaceRZFourier property) apply_mu_tolerance_all_constraints() (in module essos.augmented_lagrangian)

apply_mu_tolerance_per_constraint() (in module essos.augmented_lagrangian) apply_symmetries_to_currents() (in module essos.coils) apply_symmetries_to_curves() (in module essos.coils) apply_symmetries_to_gammas() (in module essos.coils) area (essos.surfaces.SurfaceRZFourier property) area_element (essos.surfaces.SurfaceRZFourier property) arg_names (essos.augmented_lagrangian.CompositeConstraint attribute) (essos.augmented_lagrangian.SelectiveConstraint attribute), [1] args_names (essos.losses.custom_loss attribute) atol (essos.dynamics.Tracing attribute) auto_scale (essos.augmented_lagrangian.ScaledConstraint attribute), [1]

B

B() (essos.fields.BiotSavart method) (essos.fields.BiotSavart_from_gamma method) (essos.fields.MagneticField method) (essos.fields.Vmec method) B_contravariant() (essos.fields.MagneticField method) (essos.fields.Vmec method) B_covariant() (essos.fields.MagneticField method) (essos.fields.Vmec method) B_on_surface() (in module essos.surfaces) B_regularized_pure() (in module essos.objective_functions) B_regularized_singularity_term() (in module essos.objective_functions) BackgroundSpecies (class in essos.background_species) base_loss (class in essos.losses)

BaseConstraint (class in essos.augmented_lagrangian) BdotN() (in module essos.surfaces) BdotN_over_B() (in module essos.surfaces) best_coils (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) BiotSavart (class in essos.fields) BiotSavart_from_gamma (class in essos.fields) bmnc (essos.fields.Vmec attribute) BOLTZMANN (in module essos.constants) bsubsmns (essos.fields.Vmec attribute) bsubumnc (essos.fields.Vmec attribute) bsubvmnc (essos.fields.Vmec attribute) bsupumnc (essos.fields.Vmec attribute) bsupvmnc (essos.fields.Vmec attribute)

C

call_pytree() (essos.losses.custom_loss method) chandrasekhar() (in module essos.background_species) charge (essos.background_species.BackgroundSpecies attribute) (essos.dynamics.Particles attribute) clear_cache() (essos.augmented_lagrangian.CompositeConstraint method) (essos.augmented_lagrangian.SelectiveConstraint method) (essos.losses.base_loss method) (essos.losses.custom_loss method) close (essos.surfaces.SurfaceRZFourier property) Coils (class in essos.coils) coils (essos.fields.BiotSavart attribute) coils_curvature (essos.fields.BiotSavart_from_gamma property) coils_length (essos.fields.BiotSavart_from_gamma property) combine() (in module essos.augmented_lagrangian) composite_loss (class in essos.losses) CompositeConstraint (class in essos.augmented_lagrangian) compute_candidates() (in module essos.objective_functions) compute_covariance_matrix() (essos.coil_perturbation.GaussianSampler method) compute_covariance_matrix_and_first_derivatives() (essos.coil_perturbation.GaussianSampler method) compute_covariance_matrix_and_second_derivatives() (essos.coil_perturbation.GaussianSampler method) compute_curvature() (essos.coils.Curves static method) (essos.coils.DiscretizedCoils static method) constraint (essos.augmented_lagrangian.ScaledConstraint attribute), [1] (essos.augmented_lagrangian.SelectiveConstraint attribute), [1] constraint_bdotn_stochastic() (in module essos.objective_functions) copy() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method)

copy_coils_from_field() (in module essos.objective_functions) coulomb_logarithm() (in module essos.background_species) CreateEquallySpacedCurves() (in module essos.coils) curl_B() (essos.fields.MagneticField method) curl_b() (essos.fields.MagneticField method) curl_B() (essos.fields.Vmec method) curl_b() (essos.fields.Vmec method) currents (essos.coils.Coils attribute) (essos.coils.Coils property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) (essos.fields.BiotSavart_from_gamma attribute) currents_scale (essos.coils.Coils attribute) (essos.coils.Coils property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) curvature (essos.coils.Coils property) (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) Curves (class in essos.coils) curves (essos.coils.Coils attribute) (essos.coils.Curves attribute) (essos.coils.Curves property) custom_loss (class in essos.losses)

D

d2_dtheta2_fft() (in module essos.fields) d_chandrasekhar() (in module essos.background_species) d_dtheta_fft() (in module essos.fields) d_erf() (in module essos.background_species) d_kernel_periodicity_dx() (essos.coil_perturbation.GaussianSampler method) d_kernel_periodicity_dxdx() (essos.coil_perturbation.GaussianSampler method) d_kernel_periodicity_dxdxdx() (essos.coil_perturbation.GaussianSampler method) d_kernel_periodicity_dxdxdxdx() (essos.coil_perturbation.GaussianSampler method) d_nu_D_ab() (in module essos.background_species) d_nu_par_ab() (in module essos.background_species) dAbsB_by_dX() (essos.fields.MagneticField method) (essos.fields.Vmec method) dB_by_dX() (essos.fields.MagneticField method) (essos.fields.Vmec method) debroglie_length() (in module essos.background_species) debye_length() (in module essos.background_species) density (essos.background_species.BackgroundSpecies attribute) dependencies (essos.augmented_lagrangian.CompositeConstraint property) (essos.augmented_lagrangian.SelectiveConstraint attribute) (essos.augmented_lagrangian.SelectiveConstraint property) (essos.losses.base_loss property) (essos.losses.composite_loss property) dependencies_buffer (essos.losses.base_loss property) DiscretizedCoils (class in essos.coils) dist (essos.surfaces.SurfaceClassifier attribute)

dofs (essos.coils.Coils attribute) (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) (essos.fields.BiotSavart property) (essos.surfaces.SurfaceRZFourier property) dofs_currents (essos.coils.Coils attribute) (essos.coils.Coils property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) dofs_currents_raw (essos.coils.Coils attribute) (essos.coils.Coils property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) dofs_curves (essos.coils.Coils attribute) (essos.coils.Coils property) dofs_gamma (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) dofs_to_pytree (essos.augmented_lagrangian.CompositeConstraint property) (essos.augmented_lagrangian.SelectiveConstraint property) (essos.losses.composite_loss property) (essos.losses.custom_loss property) draw_sample() (essos.coil_perturbation.GaussianSampler method) ds (essos.fields.Vmec attribute)

E

E_covariant() (essos.electric_field.Electric_field_flux method) (essos.electric_field.Electric_field_zero method) E_phi (essos.electric_field.Electric_field_flux attribute) E_theta (essos.electric_field.Electric_field_flux attribute) Electric_field_flux (class in essos.electric_field) Electric_field_zero (class in essos.electric_field) ELECTRON_MASS (in module essos.constants) ELEMENTARY_CHARGE (in module essos.constants) elementwise_scale (essos.augmented_lagrangian.ScaledConstraint attribute), [1] energy (essos.dynamics.Particles attribute) energy() (essos.dynamics.Tracing method) EPSILON_0 (in module essos.constants) eq() (in module essos.augmented_lagrangian) Er (essos.electric_field.Electric_field_flux attribute) Er_filename (essos.electric_field.Electric_field_flux attribute) (essos.electric_field.Electric_field_zero attribute) Es (essos.electric_field.Electric_field_flux attribute) essos module essos.__main__ module essos.augmented_lagrangian module essos.background_species module essos.coil_perturbation module

essos.coils module essos.constants module essos.dynamics module essos.electric_field module essos.fields module essos.losses module essos.multiobjectiveoptimizer module essos.objective_functions module essos.optimization module essos.plot module essos.surfaces module essos.util module eta (essos.augmented_lagrangian.LagrangeMultiplier attribute) EV_PER_JOULE (in module essos.background_species) evaluate_rphiz() (essos.surfaces.SurfaceClassifier method) evaluate_xyz() (essos.surfaces.SurfaceClassifier method)

F

FieldLine() (in module essos.dynamics) fit_dofs_from_coils() (in module essos.coils) fix_matplotlib_3d() (in module essos.plot) from_Coils() (essos.coils.DiscretizedCoils class method) from_input_file() (essos.surfaces.SurfaceRZFourier class method) from_json() (essos.coils.Coils class method) (essos.coils.DiscretizedCoils class method)

from_simsopt() (essos.coils.Coils class method) (essos.coils.Curves class method) (essos.coils.DiscretizedCoils class method) from_vmec() (essos.surfaces.SurfaceRZFourier class method) from_wout_file() (essos.surfaces.SurfaceRZFourier class method) fun (essos.losses.custom_loss attribute) function_inputs (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) FUSION_ALPHA_PARTICLE_ENERGY (in module essos.constants)

G

gamma (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) (essos.fields.BiotSavart_from_gamma attribute) (essos.surfaces.SurfaceRZFourier property) gamma_ab() (in module essos.background_species) gamma_dash (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) (essos.fields.BiotSavart_from_gamma property) gamma_dash_from_gamma() (in module essos.fields) gamma_dashdash (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) (essos.fields.BiotSavart_from_gamma property) gamma_dashdash_from_gamma() (in module essos.fields)

gammadash_phi (essos.surfaces.SurfaceRZFourier property) gammadash_theta (essos.surfaces.SurfaceRZFourier property) GaussianSampler (class in essos.coil_perturbation) gc_to_fullorbit() (in module essos.dynamics) get_covariance_matrix() (essos.coil_perturbation.GaussianSampler method) get_density() (essos.background_species.BackgroundSpecies method) get_sample() (essos.coil_perturbation.PerturbationSample method) get_temperature() (essos.background_species.BackgroundSpecies method) get_v_thermal() (essos.background_species.BackgroundSpecies method) gmnc (essos.fields.Vmec attribute) grad() (essos.losses.composite_loss method) (essos.losses.custom_loss method) grad_B_covariant() (essos.fields.MagneticField method) (essos.fields.Vmec method) grad_pytree() (essos.losses.custom_loss method) GuidingCenter() (in module essos.dynamics) GuidingCenterCollisionsDiffusion() (in module essos.dynamics) GuidingCenterCollisionsDiffusionMu() (in module essos.dynamics) GuidingCenterCollisionsDrift() (in module essos.dynamics) GuidingCenterCollisionsDriftMuIto() (in module essos.dynamics) GuidingCenterCollisionsDriftMuStratonovich() (in module essos.dynamics)

H

h5 (essos.electric_field.Electric_field_flux attribute)

HBAR (in module essos.constants)

I

impact_parameter() (in module essos.background_species) impact_parameter_perp() (in module essos.background_species) ineq() (in module essos.augmented_lagrangian) infty_norm_constraints() (in module essos.augmented_lagrangian) init (essos.augmented_lagrangian.ALM attribute) (essos.augmented_lagrangian.BaseConstraint attribute) (essos.augmented_lagrangian.CompositeConstraint attribute) init() (essos.augmented_lagrangian.ScaledConstraint method) (essos.augmented_lagrangian.SelectiveConstraint method)

initial_coils (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) initial_conditions (essos.dynamics.Tracing attribute) initial_vparallel (essos.dynamics.Particles attribute) initial_vperpendicular (essos.dynamics.Particles attribute) initial_vxvyvz (essos.dynamics.Particles attribute) initial_xyz (essos.dynamics.Particles attribute) initial_xyz_fullorbit (essos.dynamics.Particles attribute) InitializeParticlesAroundSurfaceAxis() (essos.dynamics.Particles class method)

J

join() (essos.dynamics.Particles method)

JOULE_PER_EV (in module essos.background_species)

K

kappa() (essos.fields.MagneticField method) (essos.fields.Vmec method) kernel_periodicity() (essos.coil_perturbation.GaussianSampler method)

key (essos.coil_perturbation.PerturbationSample attribute) kwargs (essos.augmented_lagrangian.SelectiveConstraint attribute) (essos.losses.custom_loss attribute)

L

LagrangeMultiplier (class in essos.augmented_lagrangian) len_xm_nyq (essos.fields.Vmec attribute) length (essos.coils.Coils property) (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) length_scale (essos.coil_perturbation.GaussianSampler attribute) Lorentz() (in module essos.dynamics) LorentzCollisionsDiffusion() (in module essos.dynamics) LorentzCollisionsDrift() (in module essos.dynamics) loss (essos.augmented_lagrangian.BaseConstraint attribute) (essos.augmented_lagrangian.CompositeConstraint attribute) loss() (essos.augmented_lagrangian.ScaledConstraint method) (essos.augmented_lagrangian.SelectiveConstraint method) loss_B_difference_coils_near_axis() (in module essos.objective_functions) loss_BdotN() (in module essos.objective_functions) loss_BdotN_constraint() (in module essos.objective_functions) loss_bdotn_stochastic() (in module essos.objective_functions) loss_coil_curvature() (in module essos.objective_functions) loss_coil_length() (in module essos.objective_functions) loss_coil_separation() (in module essos.objective_functions) loss_coil_surface_distance() (in module essos.objective_functions)

loss_fraction() (essos.dynamics.Tracing method) loss_fraction_BioSavart() (essos.dynamics.Tracing method) loss_fraction_BioSavart_collisions() (essos.dynamics.Tracing method) loss_fraction_collisions() (essos.dynamics.Tracing method) loss_functions (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) loss_gradB_difference_coils_near_axis() (in module essos.objective_functions) loss_iota_near_axis() (in module essos.objective_functions) loss_linkingnumber() (in module essos.objective_functions) loss_lorentz_force_coils() (in module essos.objective_functions) loss_names (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) loss_normB_axis_average() (in module essos.objective_functions) loss_particle_alpha_drift() (in module essos.objective_functions) loss_particle_Br() (in module essos.objective_functions) loss_particle_gammac() (in module essos.objective_functions) loss_particle_iota() (in module essos.objective_functions) loss_particle_radial_drift() (in module essos.objective_functions) loss_particle_radial_drift_fullorbit() (in module essos.objective_functions) loss_particle_rcross_final() (in module essos.objective_functions) loss_r0_near_axis() (in module essos.objective_functions) losses (essos.losses.base_loss attribute) (essos.losses.composite_loss attribute)

M

MagneticField (class in essos.fields) main() (in module essos.__main__) mass (essos.background_species.BackgroundSpecies attribute) (essos.dynamics.Particles attribute) matrix_sqrt_via_spectral() (in module essos.coil_perturbation) max_eval (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) maxtime (essos.dynamics.Tracing attribute) mean_cross_sectional_area() (essos.surfaces.SurfaceRZFourier method) mesh (in module essos.dynamics) (in module essos.surfaces) model (essos.dynamics.Tracing attribute) module essos essos.__main__ essos.augmented_lagrangian essos.background_species essos.coil_perturbation essos.coils essos.constants essos.dynamics essos.electric_field essos.fields essos.losses essos.multiobjectiveoptimizer essos.objective_functions essos.optimization essos.plot essos.surfaces essos.util

mpol (essos.fields.Vmec attribute) (essos.surfaces.SurfaceRZFourier property) mu_0 (in module essos.constants) MultiObjectiveOptimizer (class in essos.multiobjectiveoptimizer)

N

n_base_curves (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) n_derivs (essos.coil_perturbation.GaussianSampler attribute) n_segments (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) n_trials (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) nc (essos.fields.Vmec attribute) near_axis (class in essos.fields) near_axis_field_quantities() (in module essos.objective_functions) nested_lists_to_array() (in module essos.surfaces) NEUTRON_MASS (in module essos.constants) new_nearaxis_from_x_and_old_nearaxis() (in module essos.optimization) newton() (in module essos.util) nfp (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) (essos.fields.Vmec attribute) (essos.surfaces.SurfaceRZFourier property)

norm_constraints() (in module essos.augmented_lagrangian) normal (essos.surfaces.SurfaceRZFourier property) normB_axis() (in module essos.objective_functions) nparticles (essos.dynamics.Particles attribute) nphi (essos.surfaces.SurfaceRZFourier property) ns (essos.fields.Vmec attribute) ntheta (essos.surfaces.SurfaceRZFourier property) ntor (essos.fields.Vmec attribute) (essos.surfaces.SurfaceRZFourier property) nu_D_ab() (in module essos.background_species) nu_par_ab() (in module essos.background_species) nu_s_ab() (in module essos.background_species) num_coils (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) num_points (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) number_species (essos.background_species.BackgroundSpecies attribute)

O

omega (essos.augmented_lagrangian.LagrangeMultiplier attribute) ONE_EV (in module essos.constants) opt_config (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) optimize_loss_function() (in module essos.optimization) optimize_with_optax() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method)

optimizer_choices (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) order (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) order_Fourier (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute)

P

particle_index (essos.dynamics.Particles attribute) Particles (class in essos.dynamics) particles (essos.dynamics.Tracing attribute) penalty (essos.augmented_lagrangian.LagrangeMultiplier attribute) penalty_average() (in module essos.augmented_lagrangian) perturb_curves() (in module essos.coil_perturbation) perturb_curves_statistic() (in module essos.coil_perturbation) perturb_curves_systematic() (in module essos.coil_perturbation) PerturbationSample (class in essos.coil_perturbation) perturbed_field_from_field() (in module essos.objective_functions) phase_angle_full_orbit (essos.dynamics.Particles attribute) phi2d (essos.surfaces.SurfaceRZFourier property) plot() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) (essos.dynamics.Tracing method) (essos.surfaces.SurfaceRZFourier method)

plot_optimization_history() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) plot_parallel_coordinates() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) plot_param_importances() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) plot_pareto_fronts() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) plot_scalar_on_flux_surface() (in module essos.surfaces) poincare_plot() (essos.dynamics.Tracing method) points (essos.coil_perturbation.GaussianSampler attribute) poloidal_flux() (in module essos.surfaces) progress_meter (essos.dynamics.Tracing attribute) PROTON_MASS (in module essos.constants)

Q

quadpoints (essos.coils.Curves attribute)

R

r_axis (essos.fields.BiotSavart property) (essos.fields.BiotSavart_from_gamma property) (essos.fields.Vmec attribute) random_keys (essos.dynamics.Particles attribute) range_torus (essos.fields.Vmec attribute) (essos.surfaces.SurfaceRZFourier property) rc (essos.surfaces.SurfaceRZFourier property) rebuild_best_coils() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) rectangular_xsection_delta() (in module essos.objective_functions) rectangular_xsection_k() (in module essos.objective_functions) regularization_circ() (in module essos.objective_functions) regularization_rect() (in module essos.objective_functions) resample() (essos.coil_perturbation.PerturbationSample method)

reset_cache() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) (essos.surfaces.SurfaceRZFourier method) reset_mesh() (essos.surfaces.SurfaceRZFourier method) rho (essos.electric_field.Electric_field_flux attribute) rmnc (essos.fields.Vmec attribute) roots() (in module essos.util) roots_scipy() (in module essos.util) RotatedCurve() (in module essos.coils) rrange (essos.surfaces.SurfaceClassifier attribute) rtol (essos.dynamics.Tracing attribute) run() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method)

S

s_full_grid (essos.fields.Vmec attribute) s_half_grid (essos.fields.Vmec attribute) sampler (essos.coil_perturbation.PerturbationSample attribute) save_coils() (essos.coils.Coils method) (essos.coils.DiscretizedCoils method) save_curves() (essos.coils.Curves method) scale_factor (essos.augmented_lagrangian.ScaledConstraint attribute), [1] scale_fixed (essos.coils.Curves property) (essos.coils.DiscretizedCoils property) ScaledConstraint (class in essos.augmented_lagrangian) scaling (essos.coils.Curves property) (essos.surfaces.SurfaceRZFourier property) scaling_factor (essos.coils.Curves property) (essos.surfaces.SurfaceRZFourier property) scaling_type (essos.coils.Curves property) (essos.surfaces.SurfaceRZFourier property) select_best_from_pareto() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method) selective_map (essos.augmented_lagrangian.CompositeConstraint attribute) SelectiveConstraint (class in essos.augmented_lagrangian) set_dependencies() (essos.augmented_lagrangian.CompositeConstraint method) sharding (in module essos.surfaces) sigma (essos.coil_perturbation.GaussianSampler attribute) signed_distance_from_surface_extras() (in module essos.surfaces)

signed_distance_from_surface_jax() (in module essos.surfaces) solver (essos.dynamics.Tracing attribute) species (essos.dynamics.Tracing attribute) species_indeces (essos.background_species.BackgroundSpecies attribute) SPEED_OF_LIGHT (in module essos.constants) sq_grad (essos.augmented_lagrangian.LagrangeMultiplier attribute) sqrtg() (essos.fields.BiotSavart method) (essos.fields.BiotSavart_from_gamma method) (essos.fields.MagneticField method) (essos.fields.Vmec method) SquaredFlux() (in module essos.surfaces) starting_dofs (essos.augmented_lagrangian.CompositeConstraint property) (essos.augmented_lagrangian.SelectiveConstraint property) (essos.losses.composite_loss property) (essos.losses.custom_loss property) stellsym (essos.coils.Coils property) (essos.coils.Curves attribute) (essos.coils.Curves property) (essos.coils.DiscretizedCoils attribute) (essos.coils.DiscretizedCoils property) study (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) surface (essos.fields.Vmec property) SurfaceClassifier (class in essos.surfaces) SurfaceRZFourier (class in essos.surfaces)

T

tag_gc (essos.dynamics.Tracing attribute) temperature (essos.background_species.BackgroundSpecies attribute) theta2d (essos.surfaces.SurfaceRZFourier property) times_to_trace (essos.dynamics.Tracing attribute) timestep (essos.dynamics.Tracing attribute) to_Coils() (essos.coils.DiscretizedCoils method) to_full_orbit() (essos.dynamics.Particles method) to_json() (essos.coils.Coils method) (essos.coils.DiscretizedCoils method) to_simsopt() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) to_vmec() (essos.surfaces.SurfaceRZFourier method) to_vtk() (essos.coils.Coils method) (essos.coils.Curves method) (essos.coils.DiscretizedCoils method) (essos.dynamics.Tracing method) (essos.surfaces.SurfaceRZFourier method)

to_xyz() (essos.fields.BiotSavart method) (essos.fields.BiotSavart_from_gamma method) (essos.fields.MagneticField method) (essos.fields.Vmec method) tol (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) toroidal_flux() (in module essos.surfaces) total_infeasibility() (in module essos.augmented_lagrangian) total_speed (essos.dynamics.Particles attribute) trace() (essos.dynamics.Tracing method) Tracing (class in essos.dynamics) trajectories (essos.dynamics.Tracing property) trajectories_xyz (essos.dynamics.Tracing attribute)

U

unitnormal (essos.surfaces.SurfaceRZFourier property)

update (essos.augmented_lagrangian.ALM attribute)

V

v_perp() (essos.dynamics.Tracing method) value (essos.augmented_lagrangian.LagrangeMultiplier attribute) value_and_grad() (essos.losses.custom_loss method)

Vmec (class in essos.fields) vmec (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer attribute) volume (essos.surfaces.SurfaceRZFourier property)

W

weighted_loss() (essos.multiobjectiveoptimizer.MultiObjectiveOptimizer method)

wout_filename (essos.fields.Vmec attribute)

X

x (essos.coils.Coils property) (essos.coils.DiscretizedCoils property) (essos.surfaces.SurfaceRZFourier property) xm (essos.fields.Vmec attribute) (essos.surfaces.SurfaceRZFourier property)

xm_nyq (essos.fields.Vmec attribute) xn (essos.fields.Vmec attribute) (essos.surfaces.SurfaceRZFourier property) xn_nyq (essos.fields.Vmec attribute)

Z

z_axis (essos.fields.BiotSavart property) (essos.fields.BiotSavart_from_gamma property) (essos.fields.Vmec attribute)

zmns (essos.fields.Vmec attribute) zrange (essos.surfaces.SurfaceClassifier attribute) zs (essos.surfaces.SurfaceRZFourier property)