Abstract: An accurate numerical method for electromagnetic scattering by moving objects based on the theory of relativity is proposed. It includes space-time transforms, electromagnetic field transforms, and electrodynamics of arbitrary reference system. Scattering simulation is carried out in the target reference system and the results in the radar reference system can be got by transforms of relativity. Five examples are calculated to validate Doppler effects, the relativistic effects, and the micro-Doppler effects. The effect of non-inertial system is taken into account in the example of accelerated motion. They are compared with case of inertial system and show that the acceleration will also impact the returned wave. Results of examples show that an object moving in arbitrary forms can be simulated accurately using the proposed method.

Key words: moving, electromagnetic scattering, relativity

摘要： 提出基于相对论的运动体电磁散射的精确数值计算方法。此方法包括时空变换、电磁场变换以及任意参考系的电动力学。电磁散射仿真在目标系进行, 通过相对论变换得到雷达系的数值结果。通过匀速运动的例子计算多普勒效应, 通过加速运动和圆周运动的例子计算加速度引起的相对论效应, 通过旋转和振动的例子计算微多普勒效应。其中加速运动的例子中考虑非惯性系的影响，并与惯性情形做比较，表明加速度仍会对回波产生影响。算例结果表明此方法可精确模拟以任意方式运动的物体。

关键词: 运动, 电磁散射, 相对论