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

Kyoji Matsushima | Zendy

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

Author(s) -

Kyoji Matsushima

Publication year - 2008

Publication title -

applied optics

Language(s) - English

Resource type - Journals

ISSN - 0003-6935

DOI - 10.1364/ao.47.00d110

Subject(s) - optics , transformation (genetics) , fourier transform , holography , rotation (mathematics) , physics , coordinate system , wavefront , interpolation (computer graphics) , computation , field (mathematics) , digital holography , computer science , mathematics , classical mechanics , geometry , algorithm , motion (physics) , biochemistry , chemistry , quantum mechanics , pure mathematics , gene

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.

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