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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 2 — Feb. 1, 2014
  • pp: 448–459

Wavefronts, caustic, ronchigram, and null ronchigrating of a plane wave refracted by an axicon lens

Salvador Alejandro Juárez-Reyes, Magdalena Marciano-Melchor, Mariana Marcelino-Aranda, Paula Ortega-Vidals, Edwin Román-Hernández, Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, Román Suárez-Xique, Gerardo Francisco Torres del Castillo, and Mercedes Velázquez-Quesada  »View Author Affiliations


JOSA A, Vol. 31, Issue 2, pp. 448-459 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000448


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Abstract

The aim of this work is threefold: first we obtain analytical expressions for the wavefront train and the caustic associated with the refraction of a plane wavefront by an axicon lens, second we describe the structure of the ronchigram when the ronchiruling is placed at the flat surface of the axicon and the screen is placed at different relative positions to the caustic region, and third we describe in detail the structure of the null ronchigrating for this system; that is, we obtain the grating such that when it is placed at the flat surface of the axicon its associated pattern, at a given plane perpendicular to the optical axis, is a set of parallel fringes. We find that the caustic has only one branch, which is a segment of a line along the optical axis; the ronchigram exhibits self-intersecting fringes when the screen is placed at the caustic region, and the null ronchigrating exhibits closed loop rulings if we want to obtain its associated pattern at the caustic region.

© 2014 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(110.4190) Imaging systems : Multiple imaging
(120.5710) Instrumentation, measurement, and metrology : Refraction
(220.4840) Optical design and fabrication : Testing

ToC Category:
Geometric Optics

History
Original Manuscript: September 5, 2013
Revised Manuscript: December 23, 2013
Manuscript Accepted: December 23, 2013
Published: January 31, 2014

Citation
Salvador Alejandro Juárez-Reyes, Magdalena Marciano-Melchor, Mariana Marcelino-Aranda, Paula Ortega-Vidals, Edwin Román-Hernández, Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, Román Suárez-Xique, Gerardo Francisco Torres del Castillo, and Mercedes Velázquez-Quesada, "Wavefronts, caustic, ronchigram, and null ronchigrating of a plane wave refracted by an axicon lens," J. Opt. Soc. Am. A 31, 448-459 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-2-448

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