若干电磁波完全极化参数组的完备变换关系

Conversion relationships between several parameter groups of completely polarized electromagnetic waves

极化与电磁波另外的两个特性——振幅和相位,在传递信息时具有同等重要的作用,描述电磁波极化及其演化特征具有重要意义.关于电磁波的极化描述,前人针对不同边界条件和初始状态,发展了不同的参数组,但是这些参数组没有全面考虑电磁波的初相.鉴于此,全面考虑了电磁波的初相问题,对极化椭圆参数组的旋向参数也进行了扩充和完善,重新定义了这些参数组,在此基础上推导出这些参数组的相互变换关系,并借助符号数学数值与仿真计算验证了这些相互变换关系的正确性结果表明这些全面包含初相的电磁波完全极化参数组是完备的,相互之间具有一一对应的关系.给出的参数组变换关系显著地简化了繁杂的电磁波极化计算过程,为电磁波极化理论和应用设计提供了更加完备、适用的方案,具有理论参考和应用价值.

It is known that polarization as the third characteristic of electromagnetic waves plays substantial roles which are comparable with the wave amplitude and phase,in describing the tempo and spatial properties of electromagnetic waves.Various parameter groups for characterizing the polarization state of electromagnetic waves with different initial states and boundary conditions have been proposed.However,a full-scale set of conversion relationships between these parameter groups with specific initial phases is not yet available.In this work,the initial phases as additional parameters for the orthogonal linear polarization and the polarization ellipse parameter groups and the digitized elliptical angle χ＇ as a complementary parameter to the polarization ellipse parameter group are taken into account respectively.Consequently,a full-scale set of conversion relationships between these parameter groups has been rigorously derived out.The validity of these conversion relationships are confirmed by the numerical calculations in terms of mathematical completeness and one-to-one correspondence.These conversion relationships make the tedious computation of the wave polarization much simpler and straightforward,benefiting practical implementation of the polarization theory of electromagnetic waves.