Maxwell equations in material form
Maxwell equations in material form
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DOI：
10.1103/physrevb.13.1777
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发表时间：
1976-02
影响因子：
3.7
通讯作者：
M. Lax;D. Nelson
中科院分区：
文献类型：
--
作者：
M. Lax;D. Nelson
得到了运动、变形物体的麦克斯韦电磁方程，用弹性理论的物质坐标系表示。它们对变形变换是形式不变的。得到了电场、电位移、磁感应、磁场强度、电荷密度、电流密度、矢量和标量势、极化和磁化的变换规律。在物质坐标系中导出了场的边界条件，并强调了运动、变形物体的推导的简洁性。然后将边界条件转换为熟悉的空间坐标系。找到了一个拉格朗日密度，它能给出物质坐标系中电磁方程的洛伦兹形式。证明了方程的洛伦兹形式对变形变换不是形式不变的。
The Maxwell electromagnetic equations are obtained expressed in the material coordinate system of elasticity theory for a moving, deforming body. They are shown to be form-invariant to the deformation transformation. The transformation laws for the electric field, the electric displacement, the magnetic induction, the magnetic intensity, the charge density, the current density, the vector and scalar potentials, the polarization, and the magentization are found. The boundary conditions on the fields are derived in the material coordinate system and the simplicity of the derivation for moving, deforming bodies is emphasized. The boundary conditions are then transformed to the familiar spatial coordinate system. A Lagrangian density capable of giving the Lorentz form of the electromagnetic equations in the material coordinate system is found. The Lorentz form of the equations is shown not to be form-invariant to the deformation transformation.