1986
DOI: 10.1109/tmtt.1986.1133294
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TE and TM Modes of Some Triangular Cross-Section Waveguides Using Superposition of Plane Waves (Short Paper)

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Cited by 72 publications
(60 citation statements)
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“…In the second example, the scattering from an isosceles right triangular cross-section cylinder of hypotenuse a √ 2 when a TM/TE polarized plane wave impinges with φ = π/3 and |E 0 | = μ/ε|H 0 | = 1 V/m is analyzed. In Table 2, the number of expansion functions considered on each side of the cylinder in order to achieve a normalized truncation error less than 10 −2 is reported for EFIE, MFIE and CFIE formulations, when ka approaches the internal resonant value π √ 5 associated with the TM 12 , TM 21 , TE 12 and TE 21 modes [58]. Even in such a case, all the formulations converge quickly when ka is far enough from the internal resonant values.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…In the second example, the scattering from an isosceles right triangular cross-section cylinder of hypotenuse a √ 2 when a TM/TE polarized plane wave impinges with φ = π/3 and |E 0 | = μ/ε|H 0 | = 1 V/m is analyzed. In Table 2, the number of expansion functions considered on each side of the cylinder in order to achieve a normalized truncation error less than 10 −2 is reported for EFIE, MFIE and CFIE formulations, when ka approaches the internal resonant value π √ 5 associated with the TM 12 , TM 21 , TE 12 and TE 21 modes [58]. Even in such a case, all the formulations converge quickly when ka is far enough from the internal resonant values.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…1. The mode functions can be constructed by proper linear superposition of mode solutions for the corresponding square waveguide [15] depicted in Fig. 1.…”
Section: Theoretical Formulationmentioning
confidence: 99%
“…These plots are generated by analytical calculation using (15) and (16). The field lines obtained from electromagnetic simulation are shown in Figs 2(b) and 3(b).…”
Section: International Journal Of Microwave and Wireless Technologiesmentioning
confidence: 99%
“…This paper is devoted to study the 15 • Figure 1 shows several common shapes of triangular patch antennas (TPAs). Using the cavity model, and assuming perfect magnetic side walls, the resonant frequencies for these TPAs can be obtained using the following equations [9][10][11]: For the ETPA: …”
Section: Introductionmentioning
confidence: 99%