Formulation of the rotational transformation of wave fields and their application to digital holography

被引：84

作者：

Matsushima, Kyoji ^{[1
]}

机构：

[1] Kansai Univ, Dept Elect & Elect Engn, Osaka 5648680, Japan

来源：

APPLIED OPTICS | 2008年 / 47卷 / 19期

关键词：

D O I：

10.1364/AO.47.00D110

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Rotational transformation based on coordinate rotation in Fourier space is a useful technique for simulating wave field propagation between nonparallel planes. This technique is characterized by fast computation because the transformation only requires executing a fast Fourier transform twice and a single interpolation. It is proved that the formula of the rotational transformation mathematically satisfies the Helmholtz equation. Moreover, to verify the formulation and its usefulness in wave optics, it is also demonstrated that the transformation makes it possible to reconstruct an image on arbitrarily tilted planes from a wave field captured experimentally by using digital holography. (c) 2008 Optical Society of America.

引用

页码：D110 / D116

页数：7

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