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A fast convergent solution of wave propagation for multilayer inhomogeneous cylindrical dielectric waveguides using a semianalytical method

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Published/Copyright: February 12, 2024
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Frequenz
From the journal Frequenz Volume 78 Issue 5-6

Abstract

This paper presents an accurate and efficient semianalytical method based on the Galerkin procedure for solving electromagnetic wave propagation problems in multilayer inhomogeneous cylindrical dielectric waveguides. The method represents the field in each inhomogeneous layer by a linear combination of eigenfunctions with unknown coefficients, which are expressed using the inner products of a series of basis functions, following the Galerkin procedure. The continuity of the field and its radial derivative is enforced at the interface between adjacent layers. By applying this procedure to all inhomogeneous layers, the Helmholtz equations are transformed into linear algebraic equations with expanded coefficients in matrix form, allowing the complicated wave propagation problem in a multilayer inhomogeneous waveguide to be solved as a matrix eigenvalue problem. The method is validated by providing detailed propagation characteristics for various multilayer inhomogeneous cylinders with different permittivity profiles. The accuracy and efficiency of the proposed method are demonstrated through comparisons with results obtained using other numerical techniques.

Keywords: Bessel functions; cylindrical dielectric waveguides; inhomogeneous medium; multilayer objects; propagation constants
Corresponding author: Qianru Weng, School of Intelligent Manufacturing, Chengdu Technological University, Chengdu 611730, Chengdu, China, E-mail:

Funding source: the Research Project of Chengdu Technological University

Award Identifier / Grant number: 2022RC004.

  1. Research ethics: The research described in this article adheres to all applicable ethical guidelines.

  2. Author contributions: The author had accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The author states no conflict of interest.

  4. Research funding: This work was supported by the Research Project of Chengdu Technological University, grant number 2022RC004.

  5. Data availability: The raw data can be obtained on request from the corresponding author.

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Received: 2023-05-10
Accepted: 2024-01-19
Published Online: 2024-02-12
Published in Print: 2024-06-25

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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  2. Research Articles
  3. A calibration method for vector network analyzers using a line and three or more offset-reflect standards
  4. A fast convergent solution of wave propagation for multilayer inhomogeneous cylindrical dielectric waveguides using a semianalytical method
  5. Imaging of cylindrical inhomogeneites in a parallel plate waveguide with reverse time migration method
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https://doi.org/10.1515/freq-2023-0128
Keywords for this article
Bessel functions; cylindrical dielectric waveguides; inhomogeneous medium; multilayer objects; propagation constants

Articles in the same Issue

  1. Frontmatter
  2. Research Articles
  3. A calibration method for vector network analyzers using a line and three or more offset-reflect standards
  4. A fast convergent solution of wave propagation for multilayer inhomogeneous cylindrical dielectric waveguides using a semianalytical method
  5. Imaging of cylindrical inhomogeneites in a parallel plate waveguide with reverse time migration method
  6. A high-selectivity ceramic bandpass filter with controllable transmission zeros
  7. Review Article
  8. Revolutionizing healthcare with metamaterial-enhanced antennas: a comprehensive review and future directions
  9. Research Articles
  10. A study into strain sensor of cement-based material using CPW transmission lines
  11. Gain enhancement in octagonal shaped frequency reconfigurable antenna using metasurface superstrate
  12. High gain and high-efficiency compact resonator antennas based on spoof surface plasmon polaritons
  13. Gain enhancement of ultra-wideband hexagonal slot antenna using tessellated rhombic loops based reflector
  14. Terahertz MIMO antenna array for future generation of wireless applications
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