Module tr

Expand description

Transmittance and reflectance of plane-wave S-matrix columns between two ports.

Upstream: treams.SMatrices.tr.

Modules§

saved 🔒: Numeric port fields and powers preserved across an array-only callback. treams-rs extension.

TrForward 🔒: Forward values with the intermediates the pullback reuses.
TrGradient: S-matrix, illumination, port wavenumber/impedance and transverse-wavevector cotangents.
TrPorts: The two plane-wave ports of tr and tr_value: port 0 on the positive side (above), port 1 on the negative side (below).
TrResidual: What tr saves for its pullback: copies of the transmission and reflection blocks of the illumination direction, the incident fields, the ports and the forward results.

INVALID_INPUTS 🔒
KS 🔒: Jet seed offsets of the parameters: the wavenumbers ks[port][pol] at KS + 2 port + pol, the impedances zs[port] at ZS + port and the transverse components q[j] at Q + j.
Q 🔒: See KS.
ZS 🔒: See KS.

aggregate 🔒: The incident, transmitted and reflected tangential fields of one illumination column, summed over the modes of each diffraction group.
amplitudes 🔒: Incident, transmitted and reflected amplitudes of one mode and illumination.
cross 🔒: The time-averaged power flux Re(E x H*) / 2 along the normal of tangential fields e and h.
cross_direction 🔒: Real directional derivative of the sesquilinear power flux.
cross_pullback 🔒: The cotangents of e and h in cross for the flux cotangent weight.
evaluate 🔒: Validate the inputs and compute the transmittance and reflectance.
port_wave_inputs 🔒: Field algebra shared by coordinate derivatives and a single directional seed.
port_waves 🔒: The port fields of one diffraction group, as jets in the eight parameters when N = 8; parity bases combine the helicity fields.
tr: Transmittance and reflectance of S-matrix columns between two plane-wave ports.
tr_value: The transmittance and reflectance of tr without the data its pullback needs. Matrix views are the transmission and reflection blocks for the illumination direction.

PortWaves 🔒: Tangential fields [E_a, E_b, H_a, H_b] of the plane waves of one diffraction group, indexed by port, propagation direction and polarization.