Distinctions Between Undersampling And Aliasing Errors In Numerical Evaluation Of Diffraction Patterns

George N. Lawrence; Calvin C. Barnard

doi:10.1117/12.932093

30 December 1981 Distinctions Between Undersampling And Aliasing Errors In Numerical Evaluation Of Diffraction Patterns

George N. Lawrence, Calvin C. Barnard

Proceedings Volume 0288, Los Alamos Conf on Optics '81; (1981) https://doi.org/10.1117/12.932093
Event: Los Alamos Conference on Optics, 1981, Los Alamos, United States

Abstract

Calculation of small angle, near field Fresnel diffraction patterns of a propagating light beam is a common task in the system analysis of various high energy laser systems. The basic mathematical principles which cause spatial domain aliasing and undersampling errors are well understood. However, the work to develop these fundamental principles into concise expressions of intensity errors has not been addressed previously . Based on new intensity error estimates of aliasing and rough estimates of undersampling errors, we attempt to clarify the different nature of these two phenomena by illustrating their different functional dependencies. Further, we argue that in most cases of practical interest, aliasing errors completely dominate undersampling errors.

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George N. Lawrence and Calvin C. Barnard "Distinctions Between Undersampling And Aliasing Errors In Numerical Evaluation Of Diffraction Patterns", Proc. SPIE 0288, Los Alamos Conf on Optics '81, (30 December 1981); https://doi.org/10.1117/12.932093

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