The Maxwell radiation field is an essential physical characteristic of a galaxy. Here, an analytical model is built to simulate that field in an axisymmetric galaxy. This analytical model is based on an explicit representation for axisymmetric source-free Maxwell fields. In a previous work, the general applicability of this representation has been proved. The model is adjusted by fitting to it the sum of spherical radiations emitted by the composing “stars.” The huge ratio distance/wavelength needs to implement a numerical precision better than the quadruple precision. The model passes a validation test based on a spherically symmetric solution. The results for a set of “stars” representative of a disk galaxy indicate that the field is highest near the disk axis, and there the axial component of E {\bf{E}} dominates over the radial one. This work will allow us in the future to check if the interaction energy predicted by an alternative theory of gravitation might be a component of dark matter.

中文翻译：

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轴对称星系中麦克斯韦辐射场的解析模型

麦克斯韦辐射场是星系的基本物理特征。在这里，建立了一个分析模型来模拟轴对称星系中的该场。该分析模型基于轴对称的无源麦克斯韦场的显式表示。在以前的工作中，已经证明了该表示的一般适用性。通过对模型进行拟合来调整模型，这些模型是由组成“恒星”发出的球形辐射的总和。巨大的距离/波长比率需要实现比四倍精度更好的数值精度。该模型通过了基于球对称解的验证测试。一组代表盘状星系的“星”的结果表明，该场在盘状轴附近最高，因此E {\ bf {E}}的轴向分量在径向分量上占主导地位。