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Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor
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Simple approach to coupling in textured planar waveguides.

P Paddon1, J F Young

  • 1Advanced Materials and Process Engineering Laboratory, Department of Physics and Astronomy, 2355 East Mall, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada.

Optics Letters
|December 20, 2007
PubMed
Summary
This summary is machine-generated.

We present a Green's function method for calculating photonic band structures in textured slab waveguides. This approach accurately models guided modes and coupling coefficients, offering insights into optical phenomena.

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Area of Science:

  • Photonics
  • Materials Science
  • Condensed Matter Physics

Background:

  • Calculating photonic band structures is crucial for designing optical devices.
  • Textured slab waveguides with surface gratings exhibit complex guided mode behavior.
  • Conventional methods may lack accuracy or transparency for specific phenomena.

Purpose of the Study:

  • To develop a self-consistent Green's function technique for photonic band structure calculation.
  • To analyze guided modes in one-dimensionally textured slab waveguides.
  • To interpret the behavior of TM-TM coupling coefficients at oblique incidence.

Main Methods:

  • A self-consistent Green's function technique is employed.
  • The method is reduced to an eigenvalue problem using approximations.
  • Comparisons are made with conventional coupled-mode theories.

Main Results:

  • The technique accurately calculates the full photonic band structure.
  • It yields the correct TM-TM coupling coefficient at oblique incidence.
  • A clear interpretation for the vanishing of the coupling coefficient at a critical angle is provided.

Conclusions:

  • The Green's function technique offers a robust and interpretable approach.
  • It simplifies the analysis of guided modes in textured waveguides.
  • The method provides fundamental insights into optical coupling phenomena.