Abstract

In this work, we analyze the diffraction produced by Ronchi gratings where the fill factor is not constant, but presents random fluctuations around its nominal value. This effect can be produced while developing the grating with etchers since the process can be slightly unpredictable. We obtain the theoretical formalism to describe the intensity produced by the grating at near and far field, showing that smoothing of the self-images is produced at the near field and, consequently, cancellation of higher diffraction orders is obtained at the far field. In addition, different nominal fill factors produce different diffraction behaviors in terms of the randomness. We corroborate the analytical formalism using a direct integration method based on the Rayleigh–Sommerfeld formula and conclude that the numerical results are in high agreement with the theoretical predictions.

© 2017 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Diffraction by random Ronchi gratings

Francisco Jose Torcal-Milla and Luis Miguel Sanchez-Brea
Appl. Opt. 55(22) 5855-5859 (2016)

Near-field diffraction of gratings with surface defects

Luis Miguel Sanchez-Brea and Francisco Jose Torcal-Milla
Appl. Opt. 49(11) 2190-2197 (2010)

Diffraction of gratings with rough edges

Francisco Jose Torcal-Milla, Luis Miguel Sanchez-Brea, and Eusebio Bernabeu
Opt. Express 16(24) 19757-19769 (2008)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription