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Fundamental Theory on the Zeros Distribution of Multizeros Optical Beam for Longrange Optical Measurement Applications  

Fujimoto, Ikumatsu (Department of Information Physics and Computing, The University of Tokyo)
Sato, Seichi (Department of Information Physics and Computing, The University of Tokyo)
Kurihara, Toru (Department of Information Physics and Computing, The University of Tokyo)
Ando, Sigeru (Department of Information Physics and Computing, The University of Tokyo)
Kim, Min-Young (School of Electrical Engineering and Computer Science, Kyungpook National University)
Publication Information
Journal of the Korean Society for Precision Engineering / v.27, no.3, 2010 , pp. 33-40 More about this Journal
Abstract
Multizeros(multiple order zeros) optical beams which belong to the Laguerre-Gaussian beams, have rotational phase and conically-shaped amplitude structures around multizeros points in their phase and amplitude profiles, respectively. Especially, they have their own characteristics that the multizero points do not vanish over free-space propagation. Therefore, they are expected to be adequate for the applications of long-range optical measurement by using their multizero points as optical markers for the deformation sensing. In this paper, fundamental properties of multizeros optical beams for long-range optical measurement applications are investigated and clarified. In particular, the mathematical investigations are described on the characteristics of multizeoros optical beams such as (1) separation of a multizero into isolated single order zeros, (2) topological charge of zeros distribution which are induced by superposing them. And also the outline of a fundamental experiment and its result are explained briefly.
Keywords
Laguerre-Gaussian Beam; Multizeros Optical Beam; Multizeros Point; Optical Displacement Measurement; Superposition; Phase; Amplitude; Correlation Image Sensor;
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