Analytical Form of Current-Voltage Characteristic of a Parallel-Plane Ionization Chamber

TL;DR

This paper derives an analytical expression for the current-voltage characteristic of a parallel-plane ionization chamber by modeling charge particle processes and solving the related differential equation.

Contribution

It introduces a new analytical model for the current-voltage relationship in parallel-plane ionization chambers based on charge and particle balance.

Findings

Analytical formula for current-voltage characteristic derived.

Model accurately describes charge distribution in the chamber.

Provides a basis for improved ionization chamber design.

Abstract

The elementary processes taking place in the formation of charged particles and their flow in the ionization chamber are considered. On the basic of particles and charges balance a differential equation describing the distribution of current densities in the ionization chamber volume is obtained. As a result of the differential equation solution an analytical form of the current-voltage characteristic of a parallel-plane ionization chamber is obtained.