Talbot effect with aberrated beams

Francisco José Torcal-Milla; Luis Miguel Sanchez-Brea; Eusebio Bernabeu

doi:10.1117/12.827539

17 June 2009 Talbot effect with aberrated beams

Francisco José Torcal-Milla, Luis Miguel Sanchez-Brea, Eusebio Bernabeu

Proceedings Volume 7390, Modeling Aspects in Optical Metrology II; 739013 (2009) https://doi.org/10.1117/12.827539
Event: SPIE Europe Optical Metrology, 2009, Munich, Germany

Abstract

Diffraction gratings are one of the most used elements in optics and even in other fields of science. They are used also like part of measurement devices in scientific and industrial applications. As it is well known, self-imaging effect appears when a diffraction grating is illuminated with a coherent beam, such as a plane wave. This effect has been analyzed in depth and its behavior is well known under ideal grating and illumination conditions. Usually, the illumination beam is not perfectly collimated but presents a certain degree of aberration. The motivation of this work is to try to explain the behavior of the self-images of an ideal amplitude grating when it is illuminated by a non-perfect beam, that is, an aberrated beam. The known of this effect can help to understand how much the aberration of the light beam affects to the diffraction pattern, and more in depth, to the self-imaging phenomenon. The results presented in this work can be very useful in metrology applications, since sometimes the contrast obtained experimentally does not correspond to the theoretical predictions, usually due to aberrations in the light beam. For this, we have used a formalism based in the Rayleigh-Sommerfeld approach. We have modeled the aberrations by using the Zernike polynomials. On the other hand, we have considered all kinds of aberrations, spherical, coma, tilt, astigmatism, etc. As it is expected the contrast of the self-images decrease when the order of them increases and also when the aberration degree increase. In some cases, contrast inversion is also produced for high aberrations.

Citation Download Citation

Francisco José Torcal-Milla, Luis Miguel Sanchez-Brea, and Eusebio Bernabeu "Talbot effect with aberrated beams", Proc. SPIE 7390, Modeling Aspects in Optical Metrology II, 739013 (17 June 2009); https://doi.org/10.1117/12.827539

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available