贝赛尔函数展开对空间方位失调角测量误差的影响

调制偏振光可以作为空间方位信息的载体，实现方位角度信息的测量，在军事、航天、生物医药等领域有广泛的应用前景。文章阐述了基于磁光调制偏振光的方位失调角测量原理，针对原理中贝赛尔函数展开带来的失调角测量误差，详细推导了截取不同项数时失调角的计算公式。仿真结果表明:随着贝赛尔函数展开式截取项数的增加，失调角的测量误差越来越小；截取二倍频信号与三倍频信号的测量误差相当，但符号相反；截取项数高于四倍频信号后，误差基本保持不变。因此利用磁光调制偏振光进行方位失调角测量时，贝赛尔函数展开式截取项数不易超过四倍频信号。

Influence of Bessel functions expansions on spatial azimuth measurement error

:As a medium of spatial azimuthal information, modulated polarized light can be used to measure the azimuthal information. The technique can be widely applied in military, aerospace and biomedicine areas. The principle of measuring azimuth with magneto-optic modulation polarized light was expatiated, the misalignment azimuth measurement error from Bessel functions expansion was analyzed, and the formulae of calculating azimuth under different Bessel functions expansions were deduced in detail. The simulation results showed that with the increase of the items of Bessel functions expansions, the azimuth measurement error became smaller; the measurement error values of the frequency doubling signal and the tripling one were same, but the sign was different; after the items including fourfold frequency signal, the error kept unchanged basically. So when the modulated polarized light was used to measure the azimuth, the items of Bessel functions expansions subter-fourfold frequency signal were better.