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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 18 — Jun. 20, 2009
  • pp: 3438–3445

Optical wave fields with lateral and longitudinal periodicity

Jürgen Jahns and Adolf W. Lohmann  »View Author Affiliations

Applied Optics, Vol. 48, Issue 18, pp. 3438-3445 (2009)

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The propagation of stationary wave fields that exhibit simultaneously lateral and longitudinal periodicity is investigated. As a model, we use a Fabry–Perot resonator with periodically structured mirrors under monochromatic plane wave illumination. The resonator leads to a longitudinal periodicity, the grating mirrors to a lateral periodicity. The angular spectrum of the transmitted wave field is given as the product of two terms, one related to the lateral, the other to the longitudinal properties. Its modal structure can vary significantly depending on the ratio of the lateral and longitudinal periods and the reflectivity of the resonator's mirrors. For example, it is possible to generate bandgap behavior despite the fact that the periods may be significantly larger than the wavelength. The results of this investigation apply to the design of phase-coupled array resonators and multiplexers.

© 2009 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(140.3410) Lasers and laser optics : Laser resonators
(140.3325) Lasers and laser optics : Laser coupling

ToC Category:
Diffraction and Gratings

Original Manuscript: February 17, 2009
Revised Manuscript: April 23, 2009
Manuscript Accepted: May 28, 2009
Published: June 11, 2009

Jürgen Jahns and Adolf W. Lohmann, "Optical wave fields with lateral and longitudinal periodicity," Appl. Opt. 48, 3438-3445 (2009)

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