BornAgain-21 HorizontalCylinder

HorizontalCylinder

A horizontal truncated circular cylinder.

Constructor

Full form ```python HorizontalCylinder(R, H, b, t)

and short form 
```python
HorizontalCylinder(R, H) == HorizontalCylinder(R, H, -R, R)

Parameters:

R, radius
H, height
b, bottom boundary, relative to the center
t, top boundary, relative to the center

Constraint:

$- R \leq b \leq t \leq R$

Usage

As for any other Form factor.

Implementation

Class HorizontalCylinder inherits from the interface class IFormFactor .

Form factor is computed as

$F (q) = 2 L sinc (q_{x} \frac{L}{2}) \int_{b}^{t} d z \sqrt{R^{2} - z^{2}} sinc (q_{y} \sqrt{R^{2} - z^{2}}) \exp [i q_{z} (z - b)],$

Volume has been validated against $V = L (t \sqrt{R^{2} - t^{2}} - b \sqrt{R^{2} - b^{2}} + R^{2} [asin (\frac{t}{R}) - asin (\frac{b}{R})]) .$

More general:

Cylinder, if vertical and non-truncated.

Example

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

Generated by Examples/ff/HorizontalCylinder.py .

History

Introduced in BornAgain 1.20.

Introduction
- Functionality overview
- Architectural overview

Install or build

Graphical user interface

Python scripting

Script examples

Reference

Literature

How to