Analytical calculation of the solid angle subtended by an arbitrarily positioned ellipsoid - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment Année : 2017

Analytical calculation of the solid angle subtended by an arbitrarily positioned ellipsoid

Résumé

We present a geometric method for computing an ellipse that subtends the same solid-angle domain as an arbitrarily positioned ellipsoid. With this method we can extend existing analytical solid-angle calculations of ellipses to ellipsoids. Our idea consists of applying a linear transformation on the ellipsoid such that it is transformed into a sphere from which a disk that covers the same solid-angle domain can be computed. We demonstrate that by applying the inverse linear transformation on this disk we obtain an ellipse that subtends the same solid-angle domain as the ellipsoid. We provide a MATLAB implementation of our algorithm and we validate it numerically.

Mots clés

Fichier principal
Vignette du fichier
solidAngleEllipsoid.pdf (757.01 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01402302 , version 1 (24-11-2016)
hal-01402302 , version 2 (20-12-2016)
hal-01402302 , version 3 (05-02-2017)

Identifiants

  • HAL Id : hal-01402302 , version 3

Citer

Eric Heitz. Analytical calculation of the solid angle subtended by an arbitrarily positioned ellipsoid. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2017. ⟨hal-01402302v3⟩
2727 Consultations
3199 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More