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A new approach to obtain limited diffraction beams

机译:一种获得有限衍射光束的新方法

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摘要

Limited diffraction beams could have applications in medical imaging, tissue characterization, and nondestructive evaluation, as well as other wave related areas such as electromagnetics and optics. In this paper, we develop a novel approach that can convert any diffracting solution of the isotropic-homogeneous wave equation to a limited diffraction solution. As an example, this approach was applied to an n-dimensional wavelet solution that we generalized from the three-dimensional solution obtained by Kaiser et al. (1992). This example establishes a relationship between localized limited diffraction beams and the wavelet theory. The resulting limited diffraction beam was compared with those discovered previously.
机译:有限的衍射光束可能会在医学成像,组织表征和无损评估以及其他与波相关的领域(例如电磁学和光学学)中得到应用。在本文中,我们开发了一种新颖的方法,可以将各向同性均匀波动方程的任何衍射解转换为有限的衍射解。例如,这种方法被应用于n维小波解,我们从Kaiser等人获得的3维解中得到了推广。 (1992)。这个例子建立了局部有限衍射光束和小波理论之间的关系。将得到的有限衍射光束与先前发现的衍射光束进行比较。

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