基于Helmholtz方程的严格远场解和源的"误差面积"描述方法,讨论了大发散角光辐射远场振幅和相位对于源包络扰动的依赖关系,讨论了由于源振幅扰动而产生的远场误差,建立了一种恰当的描述远场误差的方法.模拟实验表明,在"相对误差面积"的基础上,可以结合利用"离轴距离"来精确描述源误差和分析远场误差,利用"判据点"可以判断离轴误差的存在.

For a small planar source, an accurate description of the far-field error in terms of the source error was presented based on a far-field asymptotic solution of the Helmholtz equation. The "critical point" of the far-field phase error was derived, analyzed and proposed to decide the off-center source error with the "relative error volume". Numerical results were also given to examine this method. It is shown that the off-center distance influences the far-field errors significantly, which can be used to describe the source error and analyze the far-field errors, and the source error for the inverse problem can be estimated by the "critical point".