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Analytical Model of Saturation Effects in Microchannel Plates (MCPs)

This study presents an analytical model describing saturation effects in microchannel plates (MCPs) as influenced by electric field variations and initial photoelectron current. Key parameters such as gain, initial current (Io), and resistance current (Ir) are analyzed using mathematical formulas. Important findings highlight the relationship between electric field distribution and gain variations at specific relaxation times (τ). The model uses parameters like D=20µm, L/D=40, and U=1kV, facilitating an in-depth understanding of MCP behavior under different operational conditions.

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Analytical Model of Saturation Effects in Microchannel Plates (MCPs)

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  1. m Muons, Inc. Saturation effects in MCPs ValentinIvanov 15 Dec. 2009

  2. Analytical model of saturation effects Saturation effects in MCP are described by the formulas Ezo, Mo – electric field and a gain for non saturated mode; Io – initial current of photo electrons, Ir – resistance current; τ – relaxation time for induced positive charges. A.Berkin, V.Vasil’ev, Zhurnal Technicheskoi Fiziki, V.78, N2, 2008, pp.127-133.

  3. Electric field variations vs. initial current Field distribution Ez(z,T) Field distribution Ez(L,t)

  4. Gain variations vs. initial current Gain factor for τ=6.e-3 Gain factor for τ=6.e-6

  5. Gain vs. initial current MCP parameters: D=20μm, L/D=40, U=1kV, Mo=1.E6

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