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AN ANALYTICAL SOLUTION FOR THE ELECTROMAGNETIC OSCILLATIONS CAUSED BY A RECTANGULAR PULSE IN A CAVITY WITH LOSSY WALLS

Year 2021, Volume: 17 Issue: 2, 413 - 428, 08.11.2021

Abstract

The purpose of this study is analytical studying Initial-Boundary-Value Problem for the novel format of Maxwell’s equations in SI units. A modified version of the Evolutionary Approach to Electromagnetics (EAE) used herein. The problem is considered for the causal electromagnetic oscillations excited by a given external rectangular pulse signal, J (r, t) , in a hollow cavity with lossy metallic walls. The cavity volume V is finite and closed by a singly connected surface S with none of its inner angles exceeds . Physically, cavity walls are lossy (completely or partially). Graphical results are exhibited demonstrating that the electromagnetic oscillations inside the cavity with metallic surface satisfy the causality principle.

Supporting Institution

TÜBİTAK

Project Number

120E390

Thanks

The authors are thankful to Prof. O. A. Tretyakov, advisor to the project, for his suggestions and recommendations on the manuscript.

References

  • Aksoy, S., & Tretyakov, O. A. (2003). "Evolution equations for analytical study of digital signals in waveguides". Journal of Electromagnetic Waves and Applications, 17(12), 1665–1682. doi:10.1163/156939303322760209.
  • Aksoy, S., & Tretyakov, O. A. (2004). "The evolution equations in study of the cavity oscillations excited by a digital signal". IEEE Transactions on Antennas and Propagation, 52(1), 263–270. doi:10.1109/TAP.2003.822399.
  • Erden, F. (2017). "Evolutionary approach to solve a novel time-domain cavity problem". IEEE Transactions on Antennas and Propagation, 65(11). doi:10.1109/TAP.2017.2752240.
  • Erden, F., & Tretyakov, O. A. (2008). "Excitation by a transient signal of the real-valued electromagnetic fields in a cavity". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77(5), 1–10. doi:10.1103/PhysRevE.77.056605.
  • Erden, F., & Tretyakov, O. A. (2017). "Mechanical properties of the waveguide modal fields in the time domain". Progress In Electromagnetics Research Symposium (PIERS) 2017. doi: 10.13140/RG.2.2.20636.18569.
  • Erden, F., & Tretyakov, O. A. (2018). "Electromagnetic inertia of the waveguide modes". 2nd URSI Atlantic Radio Science Meeting (AT-RASC 2018), 2(1). doi:10.13140/RG.2.2.30508.31367.
  • Erden, F., Tretyakov, O. A., & Çoşan, A. A. (2018). "Inertial properties of the TE waveguide fields". Progress In Electromagnetics Research M, 68. doi:10.2528/PIERM18020609.
  • Toptygin, I. N. (2015). Electromagnetic Phenomena in Matter: Statistical and Quantum Approaches. doi:10.1002/9783527693474.
  • Tretyakov, O. A. (1993). Essentials of nonstationary and nonlinear electromagnetic field theory. In M. Hashimoto, M. Idemen, & O. A. Tretyakov, Analytical and Numerical Methods in Electromagnetic Wave Theory. Science House Co. Ltd.
  • Tretyakov, O. A. (2017). "Factorizing Physical Dimensions of the Quantities Ingressed in Maxwell ’ s Equations in SI Units Factorizing Physical Dimensions of the Quantities Ingressed in Maxwell ’ s Equations in SI Units". Progress In Electromagnetics Research Symposium (PIERS) 2017. doi:10.13140/RG.2.2.30148.73604
  • Tretyakov, O. A. (2018). "Innovating SI Units in Maxwell’s Equations. Evolutionary Approach to Electrodynamics as an Alternative to the Time- Harmonic Field Concept". 2018 2nd URSI Atlantic Radio Science Meeting, AT-RASC 2018. doi:10.23919/URSI-AT-RASC.2018.8471496.
  • Tretyakov, O. A., Butrym, O., & Erden, F. (2021). Innovative tools for SI units in solving various problems of electrodynamics. In K. Kobayashi, & P. D. Smith, Advances in Mathematical Methods for Electromagnetics (pp. 673–707). Institution of Engineering and Technology. doi:10.1049/sbew528e_ch27.
  • Tretyakov, O. A., & Erden, F. (2021). "A Novel Simple Format of Maxwell’s Equations in SI Units". IEEE Access, 9. doi:10.1109/access.2021.3089673.

KAYIPLI YÜZEYLERE SAHİP BİR KAVİTEDEKİ DİKDÖRTGEN DARBE KAYNAKLI ELEKTROMANYETİK OSİLASYONLAR İÇİN BİR ANALİTİK ÇÖZÜM

Year 2021, Volume: 17 Issue: 2, 413 - 428, 08.11.2021

Abstract

Bu çalışmanın amacı, SI birim sisteminde yeniden yazılmış Maxwell denklemlerine ilişkin başlangıç-sınır-değer problemine analitik bir çözüm sunmaktır. Çalışmada Elektromanyetik Teoriye Evrimsel Yaklaşım’ın modifiye edilmiş bir versiyonu kullanılmıştır. Problem, kayıplı metalik yüzeylere sahip boş bir kaviteye verilen dikdörtgen  J (r, t) darbe sinyalleri, tarafından uyarılan nedensel elektromanyetik osilasyonlar için düşünülmüştür. Kavite hacmi, V, sonludur ve S yüzeyinin iç açılarından hiçbirinin π 'den büyük olmadığı pürüzsüz bir S yüzeyiyle kapatılmıştır. Fiziksel olarak yüzey (tamamen ya da kısmen) kayıplıdır. Kayıplı yüzeylere sahip kavite içerisindeki elektromanyetik osilasyonların nedensellik prensibini sağladığını gösteren grafiksel sonuçlar sergilenmiştir.

Project Number

120E390

References

  • Aksoy, S., & Tretyakov, O. A. (2003). "Evolution equations for analytical study of digital signals in waveguides". Journal of Electromagnetic Waves and Applications, 17(12), 1665–1682. doi:10.1163/156939303322760209.
  • Aksoy, S., & Tretyakov, O. A. (2004). "The evolution equations in study of the cavity oscillations excited by a digital signal". IEEE Transactions on Antennas and Propagation, 52(1), 263–270. doi:10.1109/TAP.2003.822399.
  • Erden, F. (2017). "Evolutionary approach to solve a novel time-domain cavity problem". IEEE Transactions on Antennas and Propagation, 65(11). doi:10.1109/TAP.2017.2752240.
  • Erden, F., & Tretyakov, O. A. (2008). "Excitation by a transient signal of the real-valued electromagnetic fields in a cavity". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77(5), 1–10. doi:10.1103/PhysRevE.77.056605.
  • Erden, F., & Tretyakov, O. A. (2017). "Mechanical properties of the waveguide modal fields in the time domain". Progress In Electromagnetics Research Symposium (PIERS) 2017. doi: 10.13140/RG.2.2.20636.18569.
  • Erden, F., & Tretyakov, O. A. (2018). "Electromagnetic inertia of the waveguide modes". 2nd URSI Atlantic Radio Science Meeting (AT-RASC 2018), 2(1). doi:10.13140/RG.2.2.30508.31367.
  • Erden, F., Tretyakov, O. A., & Çoşan, A. A. (2018). "Inertial properties of the TE waveguide fields". Progress In Electromagnetics Research M, 68. doi:10.2528/PIERM18020609.
  • Toptygin, I. N. (2015). Electromagnetic Phenomena in Matter: Statistical and Quantum Approaches. doi:10.1002/9783527693474.
  • Tretyakov, O. A. (1993). Essentials of nonstationary and nonlinear electromagnetic field theory. In M. Hashimoto, M. Idemen, & O. A. Tretyakov, Analytical and Numerical Methods in Electromagnetic Wave Theory. Science House Co. Ltd.
  • Tretyakov, O. A. (2017). "Factorizing Physical Dimensions of the Quantities Ingressed in Maxwell ’ s Equations in SI Units Factorizing Physical Dimensions of the Quantities Ingressed in Maxwell ’ s Equations in SI Units". Progress In Electromagnetics Research Symposium (PIERS) 2017. doi:10.13140/RG.2.2.30148.73604
  • Tretyakov, O. A. (2018). "Innovating SI Units in Maxwell’s Equations. Evolutionary Approach to Electrodynamics as an Alternative to the Time- Harmonic Field Concept". 2018 2nd URSI Atlantic Radio Science Meeting, AT-RASC 2018. doi:10.23919/URSI-AT-RASC.2018.8471496.
  • Tretyakov, O. A., Butrym, O., & Erden, F. (2021). Innovative tools for SI units in solving various problems of electrodynamics. In K. Kobayashi, & P. D. Smith, Advances in Mathematical Methods for Electromagnetics (pp. 673–707). Institution of Engineering and Technology. doi:10.1049/sbew528e_ch27.
  • Tretyakov, O. A., & Erden, F. (2021). "A Novel Simple Format of Maxwell’s Equations in SI Units". IEEE Access, 9. doi:10.1109/access.2021.3089673.
There are 13 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Fatih Erden 0000-0003-0885-9031

Ayşe Yavuz Erkan 0000-0002-6957-9394

Ahmet Arda Çoşan 0000-0001-6054-725X

Serkan Aksoy 0000-0001-9709-2279

Project Number 120E390
Publication Date November 8, 2021
Published in Issue Year 2021 Volume: 17 Issue: 2

Cite

APA Erden, F., Yavuz Erkan, A., Çoşan, A. A., Aksoy, S. (2021). AN ANALYTICAL SOLUTION FOR THE ELECTROMAGNETIC OSCILLATIONS CAUSED BY A RECTANGULAR PULSE IN A CAVITY WITH LOSSY WALLS. Journal of Naval Sciences and Engineering, 17(2), 413-428.