Module interaction 

Dense solves of (I - T C) X = T B through one LU factorization of I - T C.

interaction returns the full interacting T-matrix X = (I - T C)⁻¹ T. InteractionFactor keeps the factorization and solves only requested incident fields B, any number of times.

Upstream: treams.TMatrix.interaction.solve() for interaction. InteractionFactor is a treams-rs extension.

Modules

state 🔒

Array-owned interaction factors and fields, a treams-rs extension.

Structs

IlluminateGradient

Gradients of the local T-matrix, the coupling and the incident fields of an IlluminateResidual.

IlluminateResidual

What InteractionFactor::record saves for its pullback: the shared factor and the total incident response B + C X and scattered fields of the requested columns.

InteractionFactor

The LU factorization of I - T C, kept with the local T-matrix T and the coupling C, for any number of incident-field solves.

InteractionGradient

Gradients of the inputs of interaction, in the order of its arguments.

InteractionResidual

What interaction saves for its pullback: the factorization of I - T C and the interacting T-matrix X.

LocalMatrix 🔒

Block-diagonal local T-matrix; a dense local matrix is a single block.

Functions

interaction

Solve a multiple-scattering system for the interacting T-matrix X = (I - T C)⁻¹ T, keeping its LU factorization for the pullback.

interaction_blocks 🔒

interaction for a block-diagonal T given by its particle blocks, which are never expanded to a dense matrix for the factorization.

operator 🔒

I - T C for a finite coupling of matching size.

solve_interacting 🔒