Imaging Electron Optics of Electrostatic Focusing Concentric Spherical System Part A: Electron Trajectory Equations

Liwei Zhou

doi:10.3788/AOS202242.0811001

Journals >Acta Optica Sinica >Volume 42 >Issue 8 >Page 0811001 > Article

Acta Optica Sinica
Vol. 42, Issue 8, 0811001 (2022)

Imaging Electron Optics of Electrostatic Focusing Concentric Spherical System Part A: Electron Trajectory Equations

Liwei Zhou^*

Author Affiliations

School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

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DOI: 10.3788/AOS202242.0811001 Cite this Article Set citation alerts

Liwei Zhou. Imaging Electron Optics of Electrostatic Focusing Concentric Spherical System Part A: Electron Trajectory Equations[J]. Acta Optica Sinica, 2022, 42(8): 0811001 Copy Citation Text

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Electron trajectory in electrostatic focusing concentric spherical system composed of two electrodes. (a) n>2; (b) 1nn<1

Fig. 1. Electron trajectory in electrostatic focusing concentric spherical system composed of two electrodes. (a) n>2; (b) 1<n<2; (c) n<1

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Practical electron trajectory r=r(z) under cylindrical coordinate system in electrostatic focusing concentric spherical system composed of two electrodes

Fig. 2. Practical electron trajectory r=r(z) under cylindrical coordinate system in electrostatic focusing concentric spherical system composed of two electrodes

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Distance from thecathode z /mm	Axial potentialdistribution Φ /V	Practical trajectory		Paraxial trajectory
Distance from thecathode z /mm	Axial potentialdistribution Φ /V	r(z) /mm	r'(z)	${\overset{\cdot}{r}}^{*}$ (z) /mm	[r'(z)]^*
4	476.1705	0.3666200	0.0371337	0.3666056	0.0371470
8	1176.4705	0.4665200	0.0154706	0.4664752	0.0154348
12	2307.6923	0.4996921	0.0016205	0.4995984	0.0016013
16	4444.4444	0.4801206	-0.0116827	0.4800000	-0.0116666
20	10000.0000	0.4003198	-0.0300886	0.4000000	-0.0300000

Table 1. Practical electron trajectory and paraxial electron trajectory in electrostatic focusing concentric spherical system composed of two electrodes

Liwei Zhou. Imaging Electron Optics of Electrostatic Focusing Concentric Spherical System Part A: Electron Trajectory Equations[J]. Acta Optica Sinica, 2022, 42(8): 0811001

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