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Bar ripple

A ripple with a symmetric rectangular profile that is uniform in $x$-direction.

Constructors

Box(L, W, H)
BarGauss(L, W, H)
BarLorentz(L, W, H)

Parameters:

  • L, length
  • W, width
  • H, height

Bar with rectangular longitudinal profile is equvalent to Box particle.

Usage

As for any other Form factor.

Implementation

Class Bar inherits from the interface class IFormfactor.

Form factor is computed as

$$ F(\mathbf{q}) = f_\parallel(q_x) f_\bot(q_y,q_z), $$

where $$ f_\bot(q_y,q_z) = WH \space \exp\Big(iq_{z}\dfrac{H}{2}\Big) \space \text{sinc}\Big(q_{y}\dfrac{W}{2}\Big) \space \text{sinc}\Big(q_{z}\dfrac{H}{2}\Big).$$

Corresponding factor $ f_\parallel(q_x) $ is chosen according to longitudinal profile.

Volume has been validated against $$V=LWH.$$

Scattering

Scattering by uncorrelated, oriented “BarLorentz” ripples for horizontal incidence. Rotation around $z$ axis:

Generated by Examples/ff/BarLorentz.py .