Module tmatrix 

T-matrices of single spheres and cylinders, and three helicity measures of a T-matrix.

Upstream: treams.TMatrix and treams.TMatrixC.

treams-rs	treams	Differences
sphere()	TMatrix.sphere	helicity convention only; the Python layer converts to parity
cylinder()	TMatrixC.cylinder	a block (kz, m) reuses the boundary solve of its mirror (-kz, -m) when both are requested; the two solves agree to rounding
metric() with Metric::CircularDichroism	TMatrix.cd	requires positive real wavenumbers instead of a real material
metric() with Metric::DualityBreaking	TMatrix.db	scales the matrix to a largest entry of 1 first, so tiny or huge matrices do not underflow or overflow
metric() with Metric::Chirality	TMatrix.chi	the same scaling; the gradient is an error where the helicity contrast is zero

sphere() and cylinder() list the modes as treams does: within each degree and order (or axial wavenumber and order), polarization index 1 (positive helicity) comes before 0. The Mie coefficients of coeffs use the reverse order (negative, positive), so both axes of every 2 x 2 block swap when it is placed. metric() takes the polarization index of each row in pol.

Modules

cylinder 🔒

T-matrices of multilayer chiral cylinders from their Mie coefficients.

metric 🔒

Circular dichroism, duality breaking and electromagnetic chirality of helicity T-matrices.

sphere 🔒

T-matrices of multilayer chiral spheres from their Mie coefficients.

Structs

CylinderGradient

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

CylinderResidual

What cylinder saves for its pullback: one boundary solve per (kz, m) pair, shared with the mirror pair (-kz, -m) when both are requested.

MetricGradient

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

MetricResidual

What metric saves for its pullback: the gradient itself, since the value is a real scalar; no singular vectors are kept.

SphereGradient

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

SphereResidual

What sphere saves for its pullback: the Mie residual of each degree.

Enums

Metric

Normalized measures of a global helicity T-matrix.

Functions

cylinder

The T-matrix of concentric multilayer chiral cylinders, ordered by kzs, then ascending order m from -mmax to mmax, then positive and negative helicity.

metric

One Metric of a global helicity T-matrix.

sphere

The T-matrix of a concentric multilayer chiral sphere, in the order of sw::modes.