Edge spread function of Talbot phenomenon

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• 作者：Antoní ; n Mik&scaron ; Petr Pokorný ; ; ^{petr.pokorny@fsv.cvut.cz" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Diffraction theory ; Talbot phenomenon ; Self-imaging ; Edge spread function
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：127
• 期：19
• 页码：8065-8069
• 全文大小：532 K

文摘

The paper presents and analyses the edge spread function of Talbot phenomenon—self-imaging of a periodical structure in given distances behind a template, if the template is illuminated by a plane wave. This phenomenon has many applications in optical metrology and in industry. Detailed mathematical analysis with an amplitude grating illuminated by a monochromatic plane wave is performed, and a simple relation for the calculation of the edge spread function width of Talbot imaging of Ronchi grating is shown which allows a simple analysis of the edge spread function for different grating sizes without any difficult calculations. The results bring a complete insight to the problematics and it can serve as a great theoretical background in many applications which utilize Talbot phenomenon.