Research Article
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Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method

Year 2022, Volume 26, Issue 6, 1244 - 1252, 31.12.2022
https://doi.org/10.16984/saufenbilder.1136854

Abstract

A hybrid method is proposed for the frequency analysis of rounded metallic objects inductively loaded in rectangular waveguides. The proposed method combines the efficiency of the generalized scattering matrix method (GSM) and the flexibility of the method of moments (MoM) and the fact that fields cannot exist inside perfect electric conductors. Metallic discontinuities are modelled as a dielectric medium with extreme conductivity and the volume is emptied except the surrounding area. The proposed method is tested against several structures including a band-pass filter composed of metallic rods and an arbitrarily shaped discontinuity. The accuracy of the method is compared to commercial software based on the finite element method. The proposed method is exclusively competent for the frequency analysis of rounded or arbitrarily shaped metallic discontinuities.

References

  • [1] R. J. Cameron, C. M. Kudsia, R. R. Mansour, Microwave Filters for Communication Systems, Hoboken, NJ, USA: John Wiley & Sons, Inc., 2018.
  • [2] J. Schwinger, D. Saxon, Discontinuities in Waveguides : notes on Lectures by Julian Schwinger. CRC Press, 1968.
  • [3] Chung-I G. Hsu, H. A. Auda, “Multiple Dielectric Posts in a Rectangular Waveguide,” IEEE Transactions on Microwave Theory and Techniques, vol. 34, no. 8, pp. 883–891, Aug. 1986.
  • [4] M. Guglielmi, G. Gheri, M. Calamia, G. Pelosi, “Rigorous multimode network numerical representation of inductive step,” IEEE Transactions on Microwave Theory and Techniques, vol. 42, no. 2, pp. 317–326, 1994.
  • [5] F. Arndt; J. Brandt; V. Catina; J. Ritter; I. Rullhusen; J. Dauelsberg; U. Hilgefort; W. Wessel, “Fast CAD and Optimization of Waveguide Components and Aperture Antennas by Hybrid MM/FE/MoM/FD Methods—State-of-the-Art and Recent Advances,” IEEE Transactions on Microwave Theory and Techniques, vol. 52, no. 1, pp. 292–305, Jan. 2004.
  • [6] H. Esteban, S. Cogollos, V. E. Boria, A. S. Blas, M. Ferrando, “A new hybrid mode-matching/numerical method for the analysis of arbitrarily shaped inductive obstacles and discontinuities in rectangular waveguides,” IEEE Transactions on Microwave Theory and Techniques, vol. 50, no. 4, pp. 1219–1224, Apr. 2002.
  • [7] C. Bachiller, H. Esteban, H. Mata, M. Á. Valdes, V. E. Boria, Á. Belenguer, J. V. Morra, “Hybrid mode matching method for the efficient analysis of metal and dielectric rods in H plane rectangular waveguide devices,” IEEE Transactions on Microwave Theory and Techniques, vol. 58, no. 12, pp. 3634–3644, 2010.
  • [8] J. M. Reiter, F. Arndt, “Rigorous Analysis of Arbitrarily Shaped H- and E-Plane Discontinuities in Rectangular Waveguides by a Full-Wave Boundary Contour Mode-Matching Method IEEE Transactions on Microwave Theory and Techniques, vol. 43, no. 4, 1995.
  • [9] F. D. Pereira; V. E. Boria, J. P. Garcia, A. V. Pantaleoni; A. A. Melcon, J. L. Tornero, B. Gimeno “Efficient analysis of arbitrarily shaped inductive obstacles in rectangular waveguides using a surface integral-equation formulation,” IEEE Transactions on Microwave Theory and Techniques, vol. 55, no. 4, pp. 715–721, 2007.
  • [10] F. D. Pereira, C. Gómez Molina, A. Alvarez Melcon, V. E. Boria, M. Guglielmi, “Novel Spatial Domain Integral Equation Formulation for the Analysis of Rectangular Waveguide Steps Close to Arbitrarily Shaped Dielectric and/or Conducting Posts,” Radio Science, vol. 53, no. 4, pp. 406–419, 2018.
  • [11] A. Aydoğan, “A hybrid MoM/MM method for fast analysis of E-plane dielectric loaded waveguides,” AEU - International Journal of Electronics and Communications, vol. 100, pp. 9–15, 2019.
  • [12] A. Aydoğan, “An inclusive analysis of inductive dielectric and/or metallic discontinuities in a rectangular waveguide,” Microwave and Optical Technology Letters, vol. 63, no. 2, 2021.
  • [13] A. Sihvola, I. V. Lindell, H. Wallén, P. Ylä-Oijala, “Material realizations of perfect electric conductor objects,” Applied Computational Electromagnetic Society Journal, vol. 25, no. 12, pp. 1007–1016, 2010.
  • [14] F. D. Pereira, A. Romera Perez, P. Vera Castejon, A. Alvarez Melcon, “Integral-Equation Formulation for the Analysis of Capacitive Waveguide Filters Containing Dielectric and Metallic Arbitrarily Shaped Objects and Novel Applications,” IEEE Transactions on Microwave Theory and Techniques, vol. 63, no. 12, pp. 3862–3873, Dec. 2015.
  • [15] F. D. Pereira, C. Gomez Molina, A. Alvarez Melcon, V. E. Boria Esbert, M. Guglielmi, “On the analysis of capacitive rectangular waveguide discontinuities close to arbitrarily shaped conducting and dielectric posts,” AEU - International Journal of Electronics and Communications, vol. 113, 2020
  • [16] M. Warecka, R. Lech, P. Kowalczyk, “Efficient Finite Element Analysis of Axially Symmetrical Waveguides and Waveguide Discontinuities,” IEEE Transactions on Microwave Theory and Techniques, vol. 67, no. 11, 2019.
  • [17] M. Warecka, R. Lech, P. Kowalczyk, “Hybrid analysis of structures composed of axially symmetric objects,” IEEE Transactions on Microwave Theory and Techniques, vol. 68, no. 11, 2020.
  • [18] C. Kohlberger, A. Stelzer, “Multi-Modal Scattering and Propagation Through Several Close Periodic Grids,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 7, pp. 5758-5769, July 2022.
  • [19] C. Stoumpos, J. P. Fraysse, G. Goussetis, C. G. Gonzalez, R. Sauleau, H. Legay, “Highly Efficient Broadband Pyramidal Horn Antenna with Integrated H-Plane Power Division,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 2, pp. 1499-1504, Feb. 2022.
  • [20] T. S. Chu, T. Itoh, “Generalızed Scatterıng Matrıx Method For Analysıs Of Cascaded And Offset Mıcrostrıp Step Dıscontınuıtıes.,” IEEE Transactions on Microwave Theory and Techniques, vol. 34, no. 2, Feb. 1986.

Year 2022, Volume 26, Issue 6, 1244 - 1252, 31.12.2022
https://doi.org/10.16984/saufenbilder.1136854

Abstract

References

  • [1] R. J. Cameron, C. M. Kudsia, R. R. Mansour, Microwave Filters for Communication Systems, Hoboken, NJ, USA: John Wiley & Sons, Inc., 2018.
  • [2] J. Schwinger, D. Saxon, Discontinuities in Waveguides : notes on Lectures by Julian Schwinger. CRC Press, 1968.
  • [3] Chung-I G. Hsu, H. A. Auda, “Multiple Dielectric Posts in a Rectangular Waveguide,” IEEE Transactions on Microwave Theory and Techniques, vol. 34, no. 8, pp. 883–891, Aug. 1986.
  • [4] M. Guglielmi, G. Gheri, M. Calamia, G. Pelosi, “Rigorous multimode network numerical representation of inductive step,” IEEE Transactions on Microwave Theory and Techniques, vol. 42, no. 2, pp. 317–326, 1994.
  • [5] F. Arndt; J. Brandt; V. Catina; J. Ritter; I. Rullhusen; J. Dauelsberg; U. Hilgefort; W. Wessel, “Fast CAD and Optimization of Waveguide Components and Aperture Antennas by Hybrid MM/FE/MoM/FD Methods—State-of-the-Art and Recent Advances,” IEEE Transactions on Microwave Theory and Techniques, vol. 52, no. 1, pp. 292–305, Jan. 2004.
  • [6] H. Esteban, S. Cogollos, V. E. Boria, A. S. Blas, M. Ferrando, “A new hybrid mode-matching/numerical method for the analysis of arbitrarily shaped inductive obstacles and discontinuities in rectangular waveguides,” IEEE Transactions on Microwave Theory and Techniques, vol. 50, no. 4, pp. 1219–1224, Apr. 2002.
  • [7] C. Bachiller, H. Esteban, H. Mata, M. Á. Valdes, V. E. Boria, Á. Belenguer, J. V. Morra, “Hybrid mode matching method for the efficient analysis of metal and dielectric rods in H plane rectangular waveguide devices,” IEEE Transactions on Microwave Theory and Techniques, vol. 58, no. 12, pp. 3634–3644, 2010.
  • [8] J. M. Reiter, F. Arndt, “Rigorous Analysis of Arbitrarily Shaped H- and E-Plane Discontinuities in Rectangular Waveguides by a Full-Wave Boundary Contour Mode-Matching Method IEEE Transactions on Microwave Theory and Techniques, vol. 43, no. 4, 1995.
  • [9] F. D. Pereira; V. E. Boria, J. P. Garcia, A. V. Pantaleoni; A. A. Melcon, J. L. Tornero, B. Gimeno “Efficient analysis of arbitrarily shaped inductive obstacles in rectangular waveguides using a surface integral-equation formulation,” IEEE Transactions on Microwave Theory and Techniques, vol. 55, no. 4, pp. 715–721, 2007.
  • [10] F. D. Pereira, C. Gómez Molina, A. Alvarez Melcon, V. E. Boria, M. Guglielmi, “Novel Spatial Domain Integral Equation Formulation for the Analysis of Rectangular Waveguide Steps Close to Arbitrarily Shaped Dielectric and/or Conducting Posts,” Radio Science, vol. 53, no. 4, pp. 406–419, 2018.
  • [11] A. Aydoğan, “A hybrid MoM/MM method for fast analysis of E-plane dielectric loaded waveguides,” AEU - International Journal of Electronics and Communications, vol. 100, pp. 9–15, 2019.
  • [12] A. Aydoğan, “An inclusive analysis of inductive dielectric and/or metallic discontinuities in a rectangular waveguide,” Microwave and Optical Technology Letters, vol. 63, no. 2, 2021.
  • [13] A. Sihvola, I. V. Lindell, H. Wallén, P. Ylä-Oijala, “Material realizations of perfect electric conductor objects,” Applied Computational Electromagnetic Society Journal, vol. 25, no. 12, pp. 1007–1016, 2010.
  • [14] F. D. Pereira, A. Romera Perez, P. Vera Castejon, A. Alvarez Melcon, “Integral-Equation Formulation for the Analysis of Capacitive Waveguide Filters Containing Dielectric and Metallic Arbitrarily Shaped Objects and Novel Applications,” IEEE Transactions on Microwave Theory and Techniques, vol. 63, no. 12, pp. 3862–3873, Dec. 2015.
  • [15] F. D. Pereira, C. Gomez Molina, A. Alvarez Melcon, V. E. Boria Esbert, M. Guglielmi, “On the analysis of capacitive rectangular waveguide discontinuities close to arbitrarily shaped conducting and dielectric posts,” AEU - International Journal of Electronics and Communications, vol. 113, 2020
  • [16] M. Warecka, R. Lech, P. Kowalczyk, “Efficient Finite Element Analysis of Axially Symmetrical Waveguides and Waveguide Discontinuities,” IEEE Transactions on Microwave Theory and Techniques, vol. 67, no. 11, 2019.
  • [17] M. Warecka, R. Lech, P. Kowalczyk, “Hybrid analysis of structures composed of axially symmetric objects,” IEEE Transactions on Microwave Theory and Techniques, vol. 68, no. 11, 2020.
  • [18] C. Kohlberger, A. Stelzer, “Multi-Modal Scattering and Propagation Through Several Close Periodic Grids,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 7, pp. 5758-5769, July 2022.
  • [19] C. Stoumpos, J. P. Fraysse, G. Goussetis, C. G. Gonzalez, R. Sauleau, H. Legay, “Highly Efficient Broadband Pyramidal Horn Antenna with Integrated H-Plane Power Division,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 2, pp. 1499-1504, Feb. 2022.
  • [20] T. S. Chu, T. Itoh, “Generalızed Scatterıng Matrıx Method For Analysıs Of Cascaded And Offset Mıcrostrıp Step Dıscontınuıtıes.,” IEEE Transactions on Microwave Theory and Techniques, vol. 34, no. 2, Feb. 1986.

Details

Primary Language English
Subjects Engineering, Electrical and Electronic
Journal Section Research Articles
Authors

Ahmet AYDOĞAN> (Primary Author)
İZMİR BAKIRÇAY ÜNİVERSİTESİ
0000-0002-6037-0578
Türkiye

Publication Date December 31, 2022
Submission Date June 28, 2022
Acceptance Date October 18, 2022
Published in Issue Year 2022, Volume 26, Issue 6

Cite

Bibtex @research article { saufenbilder1136854, journal = {Sakarya University Journal of Science}, eissn = {2147-835X}, address = {}, publisher = {Sakarya University}, year = {2022}, volume = {26}, number = {6}, pages = {1244 - 1252}, doi = {10.16984/saufenbilder.1136854}, title = {Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method}, key = {cite}, author = {Aydoğan, Ahmet} }
APA Aydoğan, A. (2022). Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method . Sakarya University Journal of Science , 26 (6) , 1244-1252 . DOI: 10.16984/saufenbilder.1136854
MLA Aydoğan, A. "Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method" . Sakarya University Journal of Science 26 (2022 ): 1244-1252 <https://dergipark.org.tr/en/pub/saufenbilder/issue/74051/1136854>
Chicago Aydoğan, A. "Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method". Sakarya University Journal of Science 26 (2022 ): 1244-1252
RIS TY - JOUR T1 - Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method AU - AhmetAydoğan Y1 - 2022 PY - 2022 N1 - doi: 10.16984/saufenbilder.1136854 DO - 10.16984/saufenbilder.1136854 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1244 EP - 1252 VL - 26 IS - 6 SN - -2147-835X M3 - doi: 10.16984/saufenbilder.1136854 UR - https://doi.org/10.16984/saufenbilder.1136854 Y2 - 2022 ER -
EndNote %0 Sakarya University Journal of Science Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method %A Ahmet Aydoğan %T Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method %D 2022 %J Sakarya University Journal of Science %P -2147-835X %V 26 %N 6 %R doi: 10.16984/saufenbilder.1136854 %U 10.16984/saufenbilder.1136854
ISNAD Aydoğan, Ahmet . "Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method". Sakarya University Journal of Science 26 / 6 (December 2022): 1244-1252 . https://doi.org/10.16984/saufenbilder.1136854
AMA Aydoğan A. Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method. SAUJS. 2022; 26(6): 1244-1252.
Vancouver Aydoğan A. Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method. Sakarya University Journal of Science. 2022; 26(6): 1244-1252.
IEEE A. Aydoğan , "Frequency Analysis of Rounded Shaped Inductive Metallic Objects in Waveguides via some PEC Approximations and GSM Method", Sakarya University Journal of Science, vol. 26, no. 6, pp. 1244-1252, Dec. 2022, doi:10.16984/saufenbilder.1136854

Sakarya University Journal of Science (SAUJS)