Transmission line modeling of gain saturation in microchannel plate detectors

Leonardo Giudicotti; Giuseppe Talli

doi:10.1117/12.409113

13 December 2000 Transmission line modeling of gain saturation in microchannel plate detectors

Leonardo Giudicotti, Giuseppe Talli

Proceedings Volume 4140, X-Ray and Gamma-Ray Instrumentation for Astronomy XI; (2000) https://doi.org/10.1117/12.409113
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

We use the transmission line modeling (TLM) technique to model the saturation of the gain in a microchannel plate. To this purpose we represent a generic channel multiplier by a distributed constant, unidimensional electrical network in which the internal structure of the channel wall is neglected. This network is analyzed with the TLM method, i.e. with the techniques developed for transmission lines and a simple system of time-dependent, nonlinear differential equations is derived. Then we consider the system in steady-state conditions and, by introducing a rational approximation of the nonlinear gain equation, we derive an exact analytical solution from which the gain and the voltage along the channel multiplier can be easily computed. Finally the model is used to fit a set of experimental data taken with a MCP photomultiplier, finding that the derived equations describe with satisfactory accuracy the measured data.

Citation Download Citation

Leonardo Giudicotti and Giuseppe Talli "Transmission line modeling of gain saturation in microchannel plate detectors", Proc. SPIE 4140, X-Ray and Gamma-Ray Instrumentation for Astronomy XI, (13 December 2000); https://doi.org/10.1117/12.409113

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