Geometrical Determinations of Photon-Beam Limit Angle (LA) Related to Maximum Pencil-Beam Divergence Angle for Standard Radiotherapy Wedges

Author:

Casesnoves F.1

Affiliation:

1. AMS-American Mathematical Society, Denver, CO

Abstract

Wedge filters constitute a useful type of Beam Modification Devices (BME) in Radiation Therapy. Its use is routinary in both Forward and Inverse Treatment Planning Optimization (ITPO). In previous contributions we presented the exact/approximated path of a Pencil Photon-Beam (AAA Model, Anisothropic Analytic Algorithm), through standard manufacturing alloy wedges. It was found a so-defined Limit-Angle (LA), beyond of which the outpoint of the beam is located improperly at the lateral side of the wedge. LA exists because of the photon-beam physical divergence phenomenon. In this paper we carry out the Geometrical and Analytical determination of the LA in function of the beam divergence angle, collimator output distance, and the size parameters of the wedge filter. Two methods are used, Geometrical and Analytical. A series of Mathematical Formulations for LAs, is shown with basic approximations according to the industrial manufacturing wedge standards. Formulation is verified with Optimization Mathematical Methods.

Publisher

American Society of Mechanical Engineers

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Radiotherapy Wedge Filter AAA Model 3d Simulations For 18 MEV 5cm-Depth Dose with Medical Physics Applications;International Journal of Scientific Research in Computer Science, Engineering and Information Technology;2022-02-20

2. Improvements in Simulations for Radiotherapy Wedge Filter dose and AAA-Convolution Factor Algorithms;International Journal of Scientific Research in Science, Engineering and Technology;2019-07-01

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