BornAgain-git-main EllipsoidalCylinder

EllipsoidalCylinder

An upright cylinder whose cross section is an ellipse.

Constructor

EllipsoidalCylinder(R_a, R_b, H)

Parameters:

R_a, radius $R_{a}$ in $x$ direction
R_b, radius $R_{b}$ in $y$ direction
H, height

Usage

As for any other Form factor.

Implementation

Class EllipsoidalCylinder inherits from the interface class IFormfactor.

Form factor is computed as

$F (q) = 2 π R_{a} R_{b} H \exp (i q_{z} \frac{H}{2}) sinc (q_{z} \frac{H}{2}) \frac{J_{1} (γ)}{γ},$ with the notation $γ := \sqrt{(q_{x} R_{a})^{2} + (q_{y} R_{b})^{2}} .$

Volume has been validated against $V = π R_{a} R_{b} H .$

More special:

Cylinder, if base is circular.

Example

Scattering by uncorrelated, oriented cylinders for horizontal incidence. Rotation around $z$ axis:

Generated by Examples/ff/EllipsoidalCylinder.py .

History

Agrees with “Ellipsoid” form factor of IsGISAXS [manual, Eq. 2.40, wrongly labeled in Fig. 2.4] and “Ellipsoidal Cylinder” [Renaud 2009, Eq. 224]

Introduction
- Functionality overview
- Architectural overview

Install or build

Graphical user interface

Python scripting

Reference

Literature

How to

Developers' corner
- Configure
  - Build
  - Pyenv
- Develop
- Release
  - Manual GUI test