Optical wave fields with lateral and longitudinal periodicity
Applied Optics, Vol. 48, Issue 18, pp. 3438-3445 (2009)
http://dx.doi.org/10.1364/AO.48.003438
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Abstract
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
History
Original Manuscript: February 17, 2009
Revised Manuscript: April 23, 2009
Manuscript Accepted: May 28, 2009
Published: June 11, 2009
Citation
Jürgen Jahns and Adolf W. Lohmann, "Optical wave fields with lateral and longitudinal periodicity," Appl. Opt. 48, 3438-3445 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-18-3438
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