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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. 1 — Jan. 1, 2014
  • pp: 35–40

Analog-to-digital optical waveguide conversion at sampling periods greater than the free-space wavelength

Tarek A. Ramadan  »View Author Affiliations


JOSA A, Vol. 31, Issue 1, pp. 35-40 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000035


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Abstract

Nyquist sampling theorem reveals the possibility of sampling the continuous refractive index profiles of optical waveguides at periods greater than the free-space wavelength, λo. Binary encoding of these analog waveguides is investigated using the zero-order effective medium theory, while conserving the quantization of the modal spectrum implied by their boundary conditions. Both analytical and numerical approaches are developed for this analog-to-digital (A-to-D) conversion. An example is presented for the A-to-D conversion of a graded index waveguide with a hyperbolic secant profile at a sample period of 1.3λo. The results are confirmed using a beam propagation method.

© 2013 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(130.3120) Integrated optics : Integrated optics devices
(230.4170) Optical devices : Multilayers
(230.7370) Optical devices : Waveguides
(260.2065) Physical optics : Effective medium theory
(310.4165) Thin films : Multilayer design

ToC Category:
Optical Devices

History
Original Manuscript: October 7, 2013
Manuscript Accepted: November 4, 2013
Published: December 4, 2013

Citation
Tarek A. Ramadan, "Analog-to-digital optical waveguide conversion at sampling periods greater than the free-space wavelength," J. Opt. Soc. Am. A 31, 35-40 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-1-35

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