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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. 30, Iss. 2 — Feb. 1, 2013
  • pp: 177–188

Wavefronts, caustics, and ronchigrams of a spherical wave reflected by a spherical mirror

Jorge Castro-Ramos, Magdalena Marciano-Melchor, Mariana Marcelino-Aranda, Edwin Román-Hernández, José Guadalupe Santiago-Santiago, Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, Román Suárez-Xique, and José Miguel Zárate-Paz  »View Author Affiliations


JOSA A, Vol. 30, Issue 2, pp. 177-188 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000177


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Abstract

The aim of the present work is twofold: first we obtain analytical expressions for both the wavefronts and the caustic associated with the light rays reflected by a spherical mirror after being emitted by a point light source located at an arbitrary position in free space, and second, we describe, in detail, the structure of the ronchigrams when the grating or Ronchi ruling is placed at different relative positions to the caustic region and the point light source is located on and off the optical axis. We find that, in general, the caustic has two branches: one is a segment of a line, and the other is a two-dimensional surface. The wavefronts, at the caustic region, have self intersections and singularities. The ronchigrams exhibit closed-loop fringes when the grating is placed at the caustic region.

© 2013 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(110.4190) Imaging systems : Multiple imaging
(120.5700) Instrumentation, measurement, and metrology : Reflection
(220.4840) Optical design and fabrication : Testing

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: October 17, 2012
Manuscript Accepted: November 17, 2012
Published: January 10, 2013

Citation
Jorge Castro-Ramos, Magdalena Marciano-Melchor, Mariana Marcelino-Aranda, Edwin Román-Hernández, José Guadalupe Santiago-Santiago, Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, Román Suárez-Xique, and José Miguel Zárate-Paz, "Wavefronts, caustics, and ronchigrams of a spherical wave reflected by a spherical mirror," J. Opt. Soc. Am. A 30, 177-188 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-2-177

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