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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 1 — Jan. 5, 2009
  • pp: 34–45

Electromagnetic fields and transmission properties in tapered hollow metallic waveguides

Xiahui Zeng and Dianyuan Fan  »View Author Affiliations

Optics Express, Vol. 17, Issue 1, pp. 34-45 (2009)

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We analyze the electromagnetic spatital distributions and address an important issue of the transmission properties of spherical transverse-electric (TE) and transverse-magnetic (TM) eigenmodes within a tapered hollow metallic waveguide in detail. Explicit analytical expressions for the spatital distributions of electromagnetic field components, attenuation constant, phase constant and wave impedance are derived. Accurate eigenvalues obtained numerically are used to study the dependences of the transmission properties on the taper angle, the mode as well as the length of the waveguide. It is shown that all modes run continuously from a propagating through a transition to an evanescent region and the value of the attenuation increases as the distance from the cone vertex and the cone angle decrease. A strict distinction between pure propagating and pure evanescent modes cannot be achieved. One mode after the other reaches cutoff in the tapered hollow metallic waveguide as the distance from the cone vertex desreases.

© 2009 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(030.4070) Coherence and statistical optics : Modes
(130.2790) Integrated optics : Guided waves
(230.7380) Optical devices : Waveguides, channeled
(350.5500) Other areas of optics : Propagation

ToC Category:
Optical Devices

Original Manuscript: May 29, 2008
Revised Manuscript: November 13, 2008
Manuscript Accepted: November 19, 2008
Published: December 22, 2008

Xiahui Zeng and Dianyuan Fan, "Electromagnetic fields and transmission properties in tapered hollow metallic waveguides," Opt. Express 17, 34-45 (2009)

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