Test and verification of the theory of paraxial lateral aberrations by a two-electrode electrostatic concentric spherical system model

Liwei Zhou; Hui Gong

doi:10.1117/12.790990

3 March 2008 Test and verification of the theory of paraxial lateral aberrations by a two-electrode electrostatic concentric spherical system model

Liwei Zhou, Hui Gong

Author Affiliations +

Proceedings Volume 6621, International Symposium on Photoelectronic Detection and Imaging 2007: Photoelectronic Imaging and Detection; 66212B (2008) https://doi.org/10.1117/12.790990
Event: International Symposium on Photoelectronic Detection and Imaging: Technology and Applications 2007, 2007, Beijing, China

Abstract

In the present paper, the paraxial lateral aberrations of second and third orders in imaging electron optical systems, in which the aberration coefficients are solved by asymptotic solutions of paraxial equation, have been verified and tested by a two-electrode electrostatic spherical concentric system model. The analytical expressions of asymptotic solutions and paraxial lateral aberrations of second and third orders in the two-electrode electrostatic spherical concentric system model have been obtained. Result completely proves that the method and procedure given by Monastyrski to solve the paraxial equation of electron optics by asymptotic solutions are correct and practicable. The Recknagel-Artimovich formula of paraxial sphero-chromatic aberration of second order which possess a greatest part in whole paraxial lateral aberrations has been deduced and confirmed. The concrete expressions of paraxial lateral aberrations of third order have been firstly obtained. Results of the present paper will have theoretical and practical significance for the design of image tubes.

Citation Download Citation

Liwei Zhou and Hui Gong "Test and verification of the theory of paraxial lateral aberrations by a two-electrode electrostatic concentric spherical system model", Proc. SPIE 6621, International Symposium on Photoelectronic Detection and Imaging 2007: Photoelectronic Imaging and Detection, 66212B (3 March 2008); https://doi.org/10.1117/12.790990

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KEYWORDS

Systems modeling

Spherical lenses

Imaging systems

Differential equations

Optical imaging

Chromatic aberrations

Radium

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