کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
726601 | 892631 | 2014 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The Green's function of the Poisson equation on the non-concentric annular region The Green's function of the Poisson equation on the non-concentric annular region](/preview/png/726601.png)
• Green's function of Poisson's equation for the non-concentric cylinder
• Green's function of Poisson's equation for two cylinders of arbitrary radii and separation
• Green's function are given in terms of elementary functions as well as in closed-form
In this article the two-dimensional Poisson equation is considered in the region between two non-concentric circular cylinders. Upon introducing bipolar coordinates the corresponding Green's function is found in form of a simple and rapidly converging series which can be formally summarized as a closed-form. Based on this result we additionally provide the Green's function for the conducting cylinder which is oriented parallel to a ground plane as well as for the case of two conducting cylinders.
Journal: Journal of Electrostatics - Volume 72, Issue 4, August 2014, Pages 347–351