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AN EXTENSION OF THE LAST WORK OF OLEG A. TRETYAKOV: A NOVEL FORMAT OF THE WAVE EQUATION IN SI UNITS

Yıl 2022, Cilt: 18 Sayı: 2, 231 - 250, 30.11.2022

Fatih Erden Ahmet Arda Çoşan

https://doi.org/10.56850/jnse.1181938
Cited By: 1

Öz

Professor Oleg Alexandrovich Tretyakov is recognized in the field of radiophysics as founder of Evolutionary Approach to Electromagnetics (EAE). His analytical time domain approach which was acknowledged as an alternative to the method of complex amplitudes successfully applied to cavity and waveguide problems. In his final years, he proposed a novel format of Maxwell’s equations in SI units where electric and magnetic field strength vectors have a common physical dimension of inverse meter. In this article, we pay special tribute to his exceptional career and contributions to science and extend his last work to derive a novel format of the wave equation in SI units.

Anahtar Kelimeler

Time-domain Electrodynamics Electromagnetics Evolutionary Approach Wave Equation Maxwell's equations

Destekleyen Kurum

The Scientific and Technological Research Council of Turkey (TUBITAK)

Proje Numarası

120E390

Kaynakça

  • Akgun, O., & Tretyakov, O. A. (2015). "Solution to the Klein–Gordon equation for the study of time-domain waveguide fields and accompanying energetic processes". IET Microwaves, Antennas & Propagation, 9, 1337–1344. doi: 10.1049/iet-map.2014.0512
  • Aksoy, S., & Tretyakov, O. A. (2002). "Study of a time variant cavity system". Journal of Electromagnetic Waves and Applications, 16, 1535–1553. doi: 10.1163/156939302X00985
  • Aksoy, S., & Tretyakov, O. A. (2003a). "Walsh waves propagation along hollow rectangular waveguides". IEEE International Conference on EMC. doi: 10.1109/ICSMC2.2003.1429020
  • Aksoy, S., & Tretyakov, O. A. (2003b). "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
  • Aksoy, S., Antyufeyeva, M., Basaran, E., Ergin, A.A., & Tretyakov, O. A. (2005). "Time-domain cavity oscillations supported by a temporally dispersive dielectric". IEEE Transactions on Microwave Theory and Techniques, 53(8), 2465–2471. doi: 10.1109/TMTT.2005.852784
  • Antyufeyeva, M. S., Butrym, A. Y., & Tretyakov, O. A., (2009). "Transient electromagnetic fields in a cavity with dispersive double negative medium". Progress in Electromagnetics Research M, 8, 51–65. doi: 10.2528/PIERM09062307
  • Antyufeyeva, M. S., & Tretyakov, O. A., (2010). "Electromagnetic fields in a cavity filled with some nonstationary media". Progress in Electromagnetics Research B, 19, 177–203. doi: 10.2528/PIERB09112402
  • Balanis, C. A. (2012), Advanced Engineering Electromagnetics. Wiley & Sons. ISBN 978-0-470-58948-9
  • Butrym, A. Y., Zheng, Y., & Tretyakov, O. A., (2004). "Transient diffraction on a permittivity step in a waveguide: Closed-form solution in time domain". Journal of Electromagnetic Waves and Applications, 18(7), 861–876. doi: 10.1163/156939304323105709
  • Butrym, A. Y., & Legenkiy, M. N., (2009). "Charge transport by a pulse E-wave in a waveguide with conductive medium". Progress In Electromagnetics Research B, 15, 325–346. doi: 10.2528/PIERB09050703
  • Butrym, A. Y., & Tretyakov, O. A. (2002). " Electromagnetic signals in a waveguide filled with an inhomogeneous time-variant medium". International Conference on Mathematical Methods in Electromagnetic Theory (MMET). doi: 10.1109/MMET.2002.1106865
  • Carron, N. (2015). "Babel of units. The evolution of units systems in classical electromagnetism". doi: 10.48550/arXiv.1506.01951
  • Cosan, A. A., Erden, F., & Tretyakov, O. A. (2019). "Derivation of energetic properties of the waveguide fields in time-domain". Journal of the Faculty of Engineering and Architecture of Gazi University (in Turkish), 34(1), 327–338. doi: 10.17341/gazimmfd.416495
  • Erden, F., & Tretyakov, O. A. (2008). "Excitation by a transient signal of the real-valued electromagnetic fields in a cavity". Physical Review E, 77(5), 056605. doi:10.1103/PhysRevE.77.056605
  • Erden, F., & Tretyakov, O. A. (2011). "Temporal evolution of the irrotational and solenoidal cavity modes". XXXth URSI General Assembly and Scientific Symposium. doi: 10.1109/URSIGASS.2011.6050488
  • Erden, F., & Tretyakov, O. A. (2014). "Analytical approach for studying a time-domain cavity problem". IEEE Antennas and Propagation Society International Symposium (AP-S/URSI). doi: 10.1109/APS.2014.6904397
  • Erden, F., & Tretyakov, O. A. (2014). "Studying oscillations caused by a current surge via Evolutionary Approach to Electromagnetics". International Conference on Software, Telecommunications and Computer Networks. doi: 10.13140/2.1.3548.6722
  • Erden, F. (2015). "Evolution of a double-exponential pulse signal in a rectangular cavity filled with a plasma". International Conference on Software, Telecommunications and Computer Networks (SoftCOM). doi: 10.1109/SOFTCOM.2015.7314092
  • Erden, F., & Bicer, U. (2016). "Evolution of the fields excited by a pulse signal in a cavity filled with a plasma" (in Turkish). Dokuz Eylul University Engineering Faculty Science and Engineering Journal, 18(2:53), 164–177. doi: 10.21205/deufmd.20165318378
  • Erden, F., Cosan, A. A., & Tretyakov, O. A. (2016). "Properties of the time-domain waveguide modes". IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. doi: 10.1109/APS.2016.7696513
  • Erden, F., Tretyakov, O. A., & Bicer, U. (2016). "Evolution of the solenoidal and irrotational modal fields in a cavity excited by a signal" (in Turkish). Signal Processing and Communication Application Conference (SIU). doi: 10.1109/SIU.2016.7495707
  • Erden, F. (2017a). "Evolutionary approach to solve a novel time-domain cavity problem". IEEE Transactions on Antennas and Propagation, 65(11), 5918–5931. doi:10.1109/TAP.2017.2752240
  • Erden, F. (2017b). "Study of the energetic field characteristics of the TE-modal waves in waveguides". Turkish Journal of Physics, 41, 47–54, 2017. doi: 10.3906/fiz-1605-1
  • Erden, F., Cosan, A. A., & Tretyakov, O. A. (2017). "Time-domain energetic properties of the TM-modes in a lossy waveguide" in Turkish. IEEE Signal Processing and Communications Applications Conference. doi: 10.1109/SIU.2017.7960209
  • Erden, F., & Tretyakov, O. A. (2017). "Analytical study of the TE–waveguide modes in time domain". IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. doi: 10.1109/APUSNCURSINRSM.2017.8072065
  • 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., & Cosan, A. A. (2018). "Inertial properties of the TE waveguide fields". Progress In Electromagnetics Research M, 68, 11-19. doi:10.2528/PIERM18020609
  • Erden, F. (2018). "Study of the surge signals in a plasma-filled rectangular cavity". Physics of Wave Phenomena, 26(2), 139–149. doi: 10.3103/S1541308X18020085
  • Erden, F., Cosan, A. A., & Tretyakov, O. A. (2018). "Massic properties of the TE-modes in a lossless waveguide" in Turkish. IEEE Signal Processing and Communications Applications Conference. doi: 10.1109/SIU.2018.8404278
  • 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. (2019). "Causal dynamic constitutive relations for lossy dispersive dielectrics". 2019 URSI International Symposium on Electromagnetic Theory (EMTS). doi: 10.23919/URSI-EMTS.2019.8931444
  • Erden, F. (2021a). "Free oscillations in cavities with metallic surfaces". The International Conference on Electromagnetics in Advanced Application (ICEAA). doi: 10.1109/ICEAA52647.2021.9539671
  • Erden, F. (2021b). "Causal Oscillations in Cavities with Metallic Surfaces". URSI Radio Science Letters, 3. doi: 10.46620/21-0007
  • Erden, F., Yavuz Erkan, A., Cosan, A. A., Aksoy, A. (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.
  • Erden F. (2022a). "In Memoriam: Oleg Alexandrovich Tretyakov". The Radio Science Bulletin, 377, 60–61.
  • Erden F. (2022b). "Reflections on the Life of Oleg A. Tretyakov". IEEE Antennas and Propagation Magazine, 64(5). doi:10.1109/MAP.2022.3197347
  • Eroglu, E., Aksoy, S., & Tretyakov, O. A. (2012). "Surplus of energy for time-domain waveguide modes". Energy Education Science and Technology Part A: Energy Science and Research, (29)1, 495-506.
  • Kisunko, G. V. (1949). Electrodynamics of Hollow Systems (in Russian), VKAS: Leningrad.
  • Kobayashi, K., & Smith, P. D. (2021). Advances in Mathematical Methods for Electromagnetics. Institution of Engineering and Technology. doi:10.1049/sbew528e
  • Rothwell, E. J., & Cloud, M. J. (2001). Electromagnetics. CRC Press. doi: 10.1201/9781420058260
  • Tretyakov, O. A. (1986). "The method of modal basis", Radiotechnika i Elektronika, (in Russian), 31, 1071-1082.
  • Tretyakov, O. A. (1989). "Waveguide evolutionary equations". Radiotekhnika i Electronika, (in Russian), 34(5), 917–926.
  • 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. (1994). "Evolutionary equations for the theory of waveguides". Proceedings of IEEE Antennas and Propagation Society International Symp. and URSI National Radio Science Meeting, 2465–2471.
  • Tretyakov, O. A., & Dumin, A. N. (2000). "Emission of nonstationary electromagnetic fields by a plane radiator", Telecommunications and Radio Engineering, 54(1). doi: 10.1615/TelecomRadEng.v54.i1.10
  • Tretyakov, O. A., & Erden, F. (2006). "Temporal cavity oscillations caused by a wide-band double-exponential waveform". 4th International Workshop on Electromagnetic Wave Scattering (EWS 2006). doi: 10.13140/2.1.4591.6165
  • Tretyakov, O. A., & Erden, F. (2007). "Separation of the instantaneous and dynamic polarizations in studies of dispersive dielectrics". The Sixth International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW), 42–48. doi: 10.1109/MSMW.2007.4294572
  • Tretyakov, O. A., & Erden, F. (2008). "Temporal cavity oscillations caused by a wide-band waveform". Progress in Electromagnetics Research B, 6, 183–204. doi: 10.2528/PIERB08031222
  • Tretyakov, O. A., & Akgun, O. (2010). "Derivation of Klein-Gordon equation from Maxwell’s equations and study of relativistic time-domain waveguide modes". Progress In Electromagnetics Research, 105, 171–191. doi: 10.2528/PIER10042702
  • Tretyakov, O. A., & Erden, F. (2012). "Evolutionary approach to electromagnetics as an alternative to the time-harmonic field method". 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting. doi: 10.13140/2.1.2283.4242
  • Tretyakov, O. A., & Erden, F. (2016). "Evolution of the quadratic functions of the time-domain waveguide fields". URSI International Symposium on Electromagnetic Theory. doi: 10.1109/URSI-EMTS.2016.7571420
  • Tretyakov, O. A., & Kaya, M. (2012). "The real-valued time-domain TE-modes in lossy waveguides". Progress in Electromagnetics Research, 127, 405–426. doi: 10.2528/PIER12031402
  • Tretyakov, O. A., & Kaya, M. (2013). "Time-domain real-valued TM-modal waves in lossy waveguides". Progress in Electromagnetics Research, 138, 675–696. doi: 10.2528/PIER13030206
  • Tretyakov, O. A. (2017). "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., & Erden, F. (2020). "A new simple format of Maxwell’s equations in SI units". IEEE International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW). doi: 10.13140/RG.2.2.27799.80806
  • 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 (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, 88272 - 88278. doi: 10.1109/ACCESS.2021.3089673
  • Tretyakov, O. A., Erden, F., Cosan, A. A., & Aksoy, S. (2021). "Kayıplı yüzeylere sahip kavite alanları için analitik çözüm". URSI Turkey General Assembly and Scientific Meeting (in Turkish).

OLEG A. TRETYAKOV’UN SON ÇALIŞMASININ BİR UZANTISI: SI BİRİM SİSTEMİNDE YENİ BİR DALGA DENKLEMİ FORMATI

Yıl 2022, Cilt: 18 Sayı: 2, 231 - 250, 30.11.2022

Fatih Erden Ahmet Arda Çoşan

https://doi.org/10.56850/jnse.1181938
Cited By: 1

Öz

Profesör Oleg Alexandrovich Tretyakov, radyofizik alanında Elektromanyetik Teoriye Evrimsel Yaklaşım’ın (ETEY) kurucusu olarak tanınmaktadır. Frekans domeni metodlarına bir alternatif olarak kabul edilen Tretyakov’un analitik zaman domeni metodu, kavite ve dalga kılavuzu problemlerine başarıyla uygulanmıştır. Son yıllarında, elektrik ve manyetik alan şiddet vektörlerinin bir bölü metre'lik ortak bir fiziksel boyuta sahip olduğu, SI birimler sisteminde yeni bir Maxwell denklemler formu önermiştir. Bu makalede, istisna kariyerine ve bilime yaptığı katkılara özel bir saygı sunarak önerdiği yeni formdaki Maxwell denklemler sisteminden faydalanarak SI birimler sisteminde yeni bir dalga denklemi formu öneriyoruz.

Anahtar Kelimeler

Maxwell Denklemleri Zaman Uzayı Elektrodinamiği Elektromanyetik Evrimsel Yaklaşım Dalga Denklemi

Proje Numarası

120E390

Kaynakça

  • Akgun, O., & Tretyakov, O. A. (2015). "Solution to the Klein–Gordon equation for the study of time-domain waveguide fields and accompanying energetic processes". IET Microwaves, Antennas & Propagation, 9, 1337–1344. doi: 10.1049/iet-map.2014.0512
  • Aksoy, S., & Tretyakov, O. A. (2002). "Study of a time variant cavity system". Journal of Electromagnetic Waves and Applications, 16, 1535–1553. doi: 10.1163/156939302X00985
  • Aksoy, S., & Tretyakov, O. A. (2003a). "Walsh waves propagation along hollow rectangular waveguides". IEEE International Conference on EMC. doi: 10.1109/ICSMC2.2003.1429020
  • Aksoy, S., & Tretyakov, O. A. (2003b). "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
  • Aksoy, S., Antyufeyeva, M., Basaran, E., Ergin, A.A., & Tretyakov, O. A. (2005). "Time-domain cavity oscillations supported by a temporally dispersive dielectric". IEEE Transactions on Microwave Theory and Techniques, 53(8), 2465–2471. doi: 10.1109/TMTT.2005.852784
  • Antyufeyeva, M. S., Butrym, A. Y., & Tretyakov, O. A., (2009). "Transient electromagnetic fields in a cavity with dispersive double negative medium". Progress in Electromagnetics Research M, 8, 51–65. doi: 10.2528/PIERM09062307
  • Antyufeyeva, M. S., & Tretyakov, O. A., (2010). "Electromagnetic fields in a cavity filled with some nonstationary media". Progress in Electromagnetics Research B, 19, 177–203. doi: 10.2528/PIERB09112402
  • Balanis, C. A. (2012), Advanced Engineering Electromagnetics. Wiley & Sons. ISBN 978-0-470-58948-9
  • Butrym, A. Y., Zheng, Y., & Tretyakov, O. A., (2004). "Transient diffraction on a permittivity step in a waveguide: Closed-form solution in time domain". Journal of Electromagnetic Waves and Applications, 18(7), 861–876. doi: 10.1163/156939304323105709
  • Butrym, A. Y., & Legenkiy, M. N., (2009). "Charge transport by a pulse E-wave in a waveguide with conductive medium". Progress In Electromagnetics Research B, 15, 325–346. doi: 10.2528/PIERB09050703
  • Butrym, A. Y., & Tretyakov, O. A. (2002). " Electromagnetic signals in a waveguide filled with an inhomogeneous time-variant medium". International Conference on Mathematical Methods in Electromagnetic Theory (MMET). doi: 10.1109/MMET.2002.1106865
  • Carron, N. (2015). "Babel of units. The evolution of units systems in classical electromagnetism". doi: 10.48550/arXiv.1506.01951
  • Cosan, A. A., Erden, F., & Tretyakov, O. A. (2019). "Derivation of energetic properties of the waveguide fields in time-domain". Journal of the Faculty of Engineering and Architecture of Gazi University (in Turkish), 34(1), 327–338. doi: 10.17341/gazimmfd.416495
  • Erden, F., & Tretyakov, O. A. (2008). "Excitation by a transient signal of the real-valued electromagnetic fields in a cavity". Physical Review E, 77(5), 056605. doi:10.1103/PhysRevE.77.056605
  • Erden, F., & Tretyakov, O. A. (2011). "Temporal evolution of the irrotational and solenoidal cavity modes". XXXth URSI General Assembly and Scientific Symposium. doi: 10.1109/URSIGASS.2011.6050488
  • Erden, F., & Tretyakov, O. A. (2014). "Analytical approach for studying a time-domain cavity problem". IEEE Antennas and Propagation Society International Symposium (AP-S/URSI). doi: 10.1109/APS.2014.6904397
  • Erden, F., & Tretyakov, O. A. (2014). "Studying oscillations caused by a current surge via Evolutionary Approach to Electromagnetics". International Conference on Software, Telecommunications and Computer Networks. doi: 10.13140/2.1.3548.6722
  • Erden, F. (2015). "Evolution of a double-exponential pulse signal in a rectangular cavity filled with a plasma". International Conference on Software, Telecommunications and Computer Networks (SoftCOM). doi: 10.1109/SOFTCOM.2015.7314092
  • Erden, F., & Bicer, U. (2016). "Evolution of the fields excited by a pulse signal in a cavity filled with a plasma" (in Turkish). Dokuz Eylul University Engineering Faculty Science and Engineering Journal, 18(2:53), 164–177. doi: 10.21205/deufmd.20165318378
  • Erden, F., Cosan, A. A., & Tretyakov, O. A. (2016). "Properties of the time-domain waveguide modes". IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. doi: 10.1109/APS.2016.7696513
  • Erden, F., Tretyakov, O. A., & Bicer, U. (2016). "Evolution of the solenoidal and irrotational modal fields in a cavity excited by a signal" (in Turkish). Signal Processing and Communication Application Conference (SIU). doi: 10.1109/SIU.2016.7495707
  • Erden, F. (2017a). "Evolutionary approach to solve a novel time-domain cavity problem". IEEE Transactions on Antennas and Propagation, 65(11), 5918–5931. doi:10.1109/TAP.2017.2752240
  • Erden, F. (2017b). "Study of the energetic field characteristics of the TE-modal waves in waveguides". Turkish Journal of Physics, 41, 47–54, 2017. doi: 10.3906/fiz-1605-1
  • Erden, F., Cosan, A. A., & Tretyakov, O. A. (2017). "Time-domain energetic properties of the TM-modes in a lossy waveguide" in Turkish. IEEE Signal Processing and Communications Applications Conference. doi: 10.1109/SIU.2017.7960209
  • Erden, F., & Tretyakov, O. A. (2017). "Analytical study of the TE–waveguide modes in time domain". IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. doi: 10.1109/APUSNCURSINRSM.2017.8072065
  • 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., & Cosan, A. A. (2018). "Inertial properties of the TE waveguide fields". Progress In Electromagnetics Research M, 68, 11-19. doi:10.2528/PIERM18020609
  • Erden, F. (2018). "Study of the surge signals in a plasma-filled rectangular cavity". Physics of Wave Phenomena, 26(2), 139–149. doi: 10.3103/S1541308X18020085
  • Erden, F., Cosan, A. A., & Tretyakov, O. A. (2018). "Massic properties of the TE-modes in a lossless waveguide" in Turkish. IEEE Signal Processing and Communications Applications Conference. doi: 10.1109/SIU.2018.8404278
  • 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. (2019). "Causal dynamic constitutive relations for lossy dispersive dielectrics". 2019 URSI International Symposium on Electromagnetic Theory (EMTS). doi: 10.23919/URSI-EMTS.2019.8931444
  • Erden, F. (2021a). "Free oscillations in cavities with metallic surfaces". The International Conference on Electromagnetics in Advanced Application (ICEAA). doi: 10.1109/ICEAA52647.2021.9539671
  • Erden, F. (2021b). "Causal Oscillations in Cavities with Metallic Surfaces". URSI Radio Science Letters, 3. doi: 10.46620/21-0007
  • Erden, F., Yavuz Erkan, A., Cosan, A. A., Aksoy, A. (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.
  • Erden F. (2022a). "In Memoriam: Oleg Alexandrovich Tretyakov". The Radio Science Bulletin, 377, 60–61.
  • Erden F. (2022b). "Reflections on the Life of Oleg A. Tretyakov". IEEE Antennas and Propagation Magazine, 64(5). doi:10.1109/MAP.2022.3197347
  • Eroglu, E., Aksoy, S., & Tretyakov, O. A. (2012). "Surplus of energy for time-domain waveguide modes". Energy Education Science and Technology Part A: Energy Science and Research, (29)1, 495-506.
  • Kisunko, G. V. (1949). Electrodynamics of Hollow Systems (in Russian), VKAS: Leningrad.
  • Kobayashi, K., & Smith, P. D. (2021). Advances in Mathematical Methods for Electromagnetics. Institution of Engineering and Technology. doi:10.1049/sbew528e
  • Rothwell, E. J., & Cloud, M. J. (2001). Electromagnetics. CRC Press. doi: 10.1201/9781420058260
  • Tretyakov, O. A. (1986). "The method of modal basis", Radiotechnika i Elektronika, (in Russian), 31, 1071-1082.
  • Tretyakov, O. A. (1989). "Waveguide evolutionary equations". Radiotekhnika i Electronika, (in Russian), 34(5), 917–926.
  • 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. (1994). "Evolutionary equations for the theory of waveguides". Proceedings of IEEE Antennas and Propagation Society International Symp. and URSI National Radio Science Meeting, 2465–2471.
  • Tretyakov, O. A., & Dumin, A. N. (2000). "Emission of nonstationary electromagnetic fields by a plane radiator", Telecommunications and Radio Engineering, 54(1). doi: 10.1615/TelecomRadEng.v54.i1.10
  • Tretyakov, O. A., & Erden, F. (2006). "Temporal cavity oscillations caused by a wide-band double-exponential waveform". 4th International Workshop on Electromagnetic Wave Scattering (EWS 2006). doi: 10.13140/2.1.4591.6165
  • Tretyakov, O. A., & Erden, F. (2007). "Separation of the instantaneous and dynamic polarizations in studies of dispersive dielectrics". The Sixth International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW), 42–48. doi: 10.1109/MSMW.2007.4294572
  • Tretyakov, O. A., & Erden, F. (2008). "Temporal cavity oscillations caused by a wide-band waveform". Progress in Electromagnetics Research B, 6, 183–204. doi: 10.2528/PIERB08031222
  • Tretyakov, O. A., & Akgun, O. (2010). "Derivation of Klein-Gordon equation from Maxwell’s equations and study of relativistic time-domain waveguide modes". Progress In Electromagnetics Research, 105, 171–191. doi: 10.2528/PIER10042702
  • Tretyakov, O. A., & Erden, F. (2012). "Evolutionary approach to electromagnetics as an alternative to the time-harmonic field method". 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting. doi: 10.13140/2.1.2283.4242
  • Tretyakov, O. A., & Erden, F. (2016). "Evolution of the quadratic functions of the time-domain waveguide fields". URSI International Symposium on Electromagnetic Theory. doi: 10.1109/URSI-EMTS.2016.7571420
  • Tretyakov, O. A., & Kaya, M. (2012). "The real-valued time-domain TE-modes in lossy waveguides". Progress in Electromagnetics Research, 127, 405–426. doi: 10.2528/PIER12031402
  • Tretyakov, O. A., & Kaya, M. (2013). "Time-domain real-valued TM-modal waves in lossy waveguides". Progress in Electromagnetics Research, 138, 675–696. doi: 10.2528/PIER13030206
  • Tretyakov, O. A. (2017). "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., & Erden, F. (2020). "A new simple format of Maxwell’s equations in SI units". IEEE International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW). doi: 10.13140/RG.2.2.27799.80806
  • 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 (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, 88272 - 88278. doi: 10.1109/ACCESS.2021.3089673
  • Tretyakov, O. A., Erden, F., Cosan, A. A., & Aksoy, S. (2021). "Kayıplı yüzeylere sahip kavite alanları için analitik çözüm". URSI Turkey General Assembly and Scientific Meeting (in Turkish).
Toplam 60 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Fatih Erden 0000-0003-0885-9031

Ahmet Arda Çoşan 0000-0001-6054-725X

Proje Numarası 120E390
Yayımlanma Tarihi 30 Kasım 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 18 Sayı: 2

Kaynak Göster

APA Erden, F., & Çoşan, A. A. (2022). AN EXTENSION OF THE LAST WORK OF OLEG A. TRETYAKOV: A NOVEL FORMAT OF THE WAVE EQUATION IN SI UNITS. Journal of Naval Sciences and Engineering, 18(2), 231-250. https://doi.org/10.56850/jnse.1181938

Cited By

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