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The electrostatic problem of a portion of a multilayer dielectric sphere in a uniform field
Author(s) -
Lin Weigan,
Liu Yuanan,
Zhao Yushen
Publication year - 1991
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650040310
Subject(s) - dielectric , homogeneous , field (mathematics) , toroid , distortion (music) , spheres , electrostatics , materials science , electric field , coating , surface (topology) , classical mechanics , physics , optics , mathematics , geometry , quantum mechanics , optoelectronics , nanotechnology , thermodynamics , plasma , amplifier , cmos , astronomy , pure mathematics
We develop a general multilayer dielectric sphere model in the toroidal coordinates and give the analytical electrostatic solution when it is excited by a uniform field. The special case of the electrostatic result of an incomplete conducting sphere can be obtained simply. It is in agreement with the published result. We have also found that the coating dielectric film on the conducting sphere surface can remarkably reduce distortion on the external homogeneous field when the normalized dielectric constant is from 1–5.