Module field 

Plane-wave translation phases and fields, with analytic pullbacks.

Upstream: treams.pw.translate and treams.special.vpw_M, vpw_N and vpw_A.

Structs

FieldGradient

Cotangents in the real Hermitian pairing.

FieldResidual

What field saves for its pullback: its inputs, for weighted fields or for the matrix that samples every mode.

ModeSums 🔒

Sums over points of one plane mode’s amplitude, wavevector and polarization cotangents; the last two stay zero when the wavevectors are fixed.

ModeTerms 🔒

What the field pullback needs of one plane mode at every point.

PhasesGradient

Cotangents of real displacements and complex full wavevectors.

PhasesResidual

What phases saves for its pullback: the points and the wavevectors, without the phases of every point and mode.

Functions

field

Evaluate weighted plane fields, or the full operator when coefficients are absent.

phase 🔒

exp(i k·r) for a complex wavevector k and a real point r, from the real and imaginary parts of k·r separately.

phases

Plane-wave translation phases with shape (displacements, wavevectors).

translate

Direct scalar plane translation phase.