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Standing Waves in a Cavity01:28

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Dispersion engineering with leaky-mode resonant photonic lattices.

Robert Magnusson1, Mehrdad Shokooh-Saremi, Xin Wang

  • 1Department of Electrical Engineering, University of Texas at Arlington, USA. magnusson@uta.edu

Optics Express
|February 23, 2010
PubMed
Summary

We designed leaky-mode resonance elements for slow-light applications, achieving significant time delays (~8 ps to ~30 ps) with flat dispersion. These devices are promising for optical buffering and switching.

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Area of Science:

  • Photonics and Optical Engineering
  • Materials Science for Optical Devices

Background:

  • Slow-light applications require optical elements with significant time delays and minimal dispersion.
  • Leaky-mode resonance (LMR) elements offer a potential platform for achieving these properties.

Purpose of the Study:

  • To investigate the dispersion properties of LMR elements for slow-light applications.
  • To design and demonstrate LMR devices with large time delays and flat dispersion characteristics.

Main Methods:

  • Utilized particle swarm optimization (PSO) for designing bandpass leaky-mode devices.
  • Investigated single-layer silicon-on-insulator (SOI) LMR elements.
  • Designed and analyzed cascaded double-membrane LMR elements.

Main Results:

  • A single-layer SOI LMR element achieved a time-delay peak of approximately 8 ps.
  • A double-membrane LMR element demonstrated an average delay of ~6 ps over a ~0.75 nm bandwidth with flat dispersion.
  • Cascading five double-membrane elements resulted in an accumulative delay of ~30 ps over a ~0.5 nm bandwidth with very flat dispersion.

Conclusions:

  • Leaky-mode resonance elements can be engineered to provide substantial time delays with remarkably flat dispersion.
  • These LMR delay elements are suitable candidates for optical buffers, delay lines, and optical switches.