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Characterizing Electromagnetic Behavior of X-Band Rectangular Waveguide with Convex and Concave Shaped Ridges Using Hp-Finite Element Method

Madan Nagre, Sahebrao Popalghat

Abstract


In this research study, we explore the behavior of electromagnetic waves as they propagate through ridge waveguides with convex and concave shapes, having both single and double walls. To analyze the waveguide's characteristics, we employ the highly accurate hp-finite element method (hp-FEM). The focus is on investigating the impact of these ridge deformations on cutoff frequencies and bandpass for TE10 and TE20 modes. To benchmark our findings, we compare the results with those obtained from a conventional x-band rectangular waveguide. Three cases of ridge deformation are considered: a convex-shaped ridge on one side wall, a concave-shaped ridge on one side wall, and a concave-shaped ridge on both side walls. Our comprehensive study aims to gain insights into the electromagnetic behavior of these waveguides and assess their potential applications in high-frequency communication systems and microwave devices.


Keywords


finite element method, hp-FEM, isoperimetric formulation, concave shape ridge waveguide, convex shape ridge waveguide, electromagnetic wave, x-band waveguide, Galerkin method, eigenvalue problem, electromagnetics.

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References


Bulley RM. Analysis of the arbitrarily shaped waveguide by polynomial approximation. IEEE Transactions on Microwave Theory and Techniques. 1970 Dec;18(12):1022-8.

Gil JM, Webb JP. A new edge element for the modeling of field singularities in transmission lines and waveguides. IEEE transactions on microwave theory and techniques. 1997 Dec;45(12):

-30.

Manasi Karkare, A. S. Chaudhari, P. B. Patil. Analysis of Bent Microstrip Resonator Using Finite Clement Method. Indian Journal of Physics Vol 70 B, 487-494 (1996)

S. K. Popalghat, P. B. Patil. Study of rectangular waveguides with grooves of irregular shape using the finite element method. Sadhana. June 1998. Volume 23 Issue 3, pp 269-280.

Li S. F Shen Z-X, Lou X. M 1991 A simple analysis of single and double V-grooved guides. IEEE Transactions on Microwave Theory and Techniques (Volume: 39, Issue: 8, August 1991)

Oliner, A.A., & Lampariello, P. (1985). The Dominant Mode Properties of Open Groove Guide: An Improved Solution. IEEE Transactions on Microwave Theory and Techniques, 33, 755-764.

C.J Reddy, Manohar D. Deshpande: Finite element method for eigenvalue problems in electromagnetics, NASA Technical paper 3485. December 1995. https://ntrs.nasa.gov/api/

citations/19950011772/downloads/19950011772.pdf

Daryl Logan A First course of Finite Element Method. University of Wisconsin Platteville, Sixth Edition, 2017. Thomson learning. Boston, Massachusetts, United States

Peter Arbenz. (2022) FEM and sparse linear system solving. [Online]. Available from http://people.inf.ethz.ch/arbenz/FEM17/

B. M. Azizur Rahman, "Finite Element Analysis of Optical Waveguides”. Vol. 10, 187-216, 1995. http://www.jpier.org/PIER/pier.php?paper=9403214

Isoparametric Elements, jacobian [Online]. Available from http://www.ce.memphis.edu/7117/notes/notes.html -chapter-10:

Simscale Documentation (August 11th, 2023). What are boundary conditions. [Online]. Available from https://www.simscale.com/docs/simwiki/numerics-background/what-are-boundary- conditions.

Sandip Mazumder. "Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods," (2015). 1st Edition. Academic Press, https://www.youtube.com/

watch?v=FoYzQAzVVNk&list=PLVuuXJfoPgT7nm3vaqx- qax-e1TIiuyLb.

C.S. Upadhaya: Lecture Series on Finite Element, Department of Aero Space IIT Kanpur. NPTE, http://nptel.iitm.ac.in

Numerical Methods: E. Balagurusamy, Tata McGraw-Hill Publishing Company Limited.

https://ufl.instructure.com/courses/342942/files/35340324/download?wrap=1 (isoparametric formulation, Jacobian, and numerical integration)


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