Publication: Self-imaging with curved gratings
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Publication Date
2010-10-15
Authors
Torcal Milla, Francisco José
Salgado Remacha, Francisco Javier
Bernabeu Martínez, Eusebio
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Elsevier Science BV
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Abstract
We analyze the near field behavior of binary amplitude gratings which present a curved profile. This configuration has an important application in rotary optical encoders. This kind of encoders is used to measure the angular displacement between two different parts of the devices. To our knowledge, its behavior in the near field has not been analyzed yet. We have found that Talbot effect is produced but the period of the self-images and Talbot distances change as we separate from the grating. We have fabricated a curved grating and have performed the experiment to corroborate the behavior theoretically found. This fact could be useful in systems that use Talbot effect to measure displacements, since the mechanical tolerances grow.
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© 2010 Elsevier B.V.
This work has been supported by project CCG08-UCM/DPI-3952 of Dirección General de Universidades e Investigación de la Consejería de Educación de la Comunidad de Madrid and project DPI2008-02391 of the Ministerio de Ciencia e Innovacion of Spain.
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