| 李文略.各向异性电介质无界域泊松方程的定解问题[J].海南师范大学学报自科版,2020,33(2):192-197 |
| 各向异性电介质无界域泊松方程的定解问题 |
| Explicit Solution to Unbounded Domain Poisson Equation in Anisotropic Dielectric |
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| DOI：10.12051/j.issn.1674-4942.2020.02.012 |
| 中文关键词: 各向异性电介质 泊松方程 傅里叶变换 拉普拉斯变换 |
| 英文关键词: anisotropic dielectric Poisson equation Fourier transformation Laplace transformation |
| 基金项目: |
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| 摘要点击次数: 836 |
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| 中文摘要: |
| 陈燊年推导出了各向异性电介质静电势泊松方程的δ函数形式，但未将其应用于各向
异性电介质无界域泊松方程的定解问题上。文章以求解点电荷在无限大导体平面上方各向异性
电介质中激发的电势分布为例，由各向异性电介质静电势泊松方程的δ函数形式出发，应用联合积
分变换法求解各向异性电介质无界域泊松方程的定解问题。 |
| 英文摘要: |
| Chen Shennian deduced Poisson equation in anisotropic dielectric with delta function for electrostatic potential,
but he did not apply it to explicit solution to unbounded domain Poisson equation in anisotropic dielectric. Taken the poten‐
tial distribution of point charge excitation in anisotropic dielectric above the plane of infinite conductor as an example, the
joint integral transformation method was applied to solve the problem of unbounded domain in anisotropic dielectric in or‐
der to provide the application supplement for explicit solution to unbounded domain Poisson equation in mathematical. |
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