Abstract
Diffraction calculations in few-bit formats, such as single-precision floating-point and fixed-point numbers, are important because they yield faster calculations and lower memory usage. However, these methods suffer from low accuracy owing to the loss of trailing digits. Fresnel diffraction is widely known to prevent the loss of trailing digits. However, it can only be used when the paraxial approximation is valid. In this study, a few-bit diffraction calculation method that achieves high accuracy without using any approximation is proposed. The proposed method is derived only by rationalizing the numerator of conventional formulas. Even for scenarios requiring double-precision floating-point numbers using conventional methods, the proposed method exhibits higher accuracy and faster computation time using single-precision floating-point numbers.
© 2024 Optica Publishing Group
Full Article | PDF ArticleMore Like This
Wenhui Zhang, Hao Zhang, Colin J. R. Sheppard, and Guofan Jin
J. Opt. Soc. Am. A 37(11) 1748-1766 (2020)
Qin Yu and Bryan M. Hennelly
J. Opt. Soc. Am. A 41(5) 892-905 (2024)
Ni Chen, Congli Wang, and Wolfgang Heidrich
Opt. Express 30(21) 37727-37735 (2022)