Analytical form of current-voltage characteristic of parallel-plane, cylindrical and spherical ionization chambers with homogeneous ionization

TL;DR

This paper derives an analytical formula for the current-voltage characteristic of various ionization chambers with homogeneous ionization, based on charge balance and differential equations, and compares it with experimental data for parallel-plane chambers.

Contribution

It presents a new analytical solution for current-voltage behavior in ionization chambers considering different geometries and homogeneous ionization.

Findings

Analytical current-voltage formula derived for different chamber geometries.

Good agreement with experimental data for parallel-plane chambers.

Provides a theoretical basis for understanding charge flow in ionization chambers.

Abstract

The elementary processes taking place in the formation of charged particles and their flow in parallel-plane, cylindrical and spherical ionization chambers are considered. On the basis 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 an ionization chamber with homogeneous ionization is obtained. For the parallel-plane case the comparison with experimental data is performed.