Research of Dispersion Characteristics of a Rectangular Waveguide with a Corrugated Bottom Wall by the Coupled Wave Method

Authors

DOI:

https://doi.org/10.20535/RADAP.2021.86.29-38

Keywords:

rectangular waveguide, corrugated rectangular waveguide, coupled wave method, dispersion equation, constant spread

Abstract

The research on dispersive characteristics of a rectangular waveguide with the goffered bottom wall a method of the connected waves is presented.

Rectangular and round waveguides with the goffered walls usually are used in a superhigh-frequency range as band-pass and low-pass filters, irradiators of multiband mirror aerials of satellite communication; in radar-tracking gauges of a W-range for detection and creation of cards of space garbage, etc. Definition of a constant of distribution in a rectangular waveguide with the goffered bottom wall by the method of the connected waves is conducted by transformation of the homogeneous differential equation with non-uniform boundary conditions to the non-uniform differential equation with homogeneous boundary conditions. The electromagnetic field in the cells of the corrugation of a rectangular waveguide with a corrugated bottom wall is found through the vector potential, which depends on the radial coordinate. The function of changing the electromagnetic field along the radial coordinate is determined by solving the Bessel equation. The vector of the magnetic field strength and the amplitudes of the components of the magnetic field strengths in the cross section of a rectangular waveguide and the component of the electric field strength tangential to the cell surface are found through the vector potential.

The tangential component of the electric field strength along the narrow walls of a rectangular waveguide is calculated. An equivalent magnetic surface current is introduced along the wide and narrow walls of a rectangular waveguide. For a regular rectangular waveguide with magnetic currents on its walls, solutions of equations that satisfy the orthogonality conditions, for determining the amplitudes of electromagnetic fields in the positive and negative directions along the axis of the regular rectangular waveguide, correction to the wave propagation constant of the i-th k'j type is given.

The graphs of the calculated and experimental dependences of the propagation constant k'j on the ratio λ/a (λ - wavelength, m) for waves of quasi types H10, H20, and H01 in a WR-112 rectangular waveguide with cross-sectional dimensions (a x b) mm = (28,5 x 12,64) mm with a corrugated bottom wall at fixed relative dimensions of the cell depth t, the distance between the corrugations s and the width of the lower base of the trapezoid of the cross-section of the corrugation Dδ=t/a, u=s/a, and p=D/a. The dependences of the propagation constant k'j on the ratio λ/a for a quasi-type wave H10 were studied in the frequency range from 5.2 GHz to 7.1 GHz, for a quasi-type wave H20 - from 10.5 GHz to 11.8 GHz, for a quasi-type wave H01 - from 11.7 GHz up to 18.1 GHz. The dispersion characteristics of waves of the types of quasi H10, H20, and H01 a rectangular waveguide with a corrugated bottom wall with a decrease in the relative depth of the corrugation δ approach the dispersion characteristics of the types of waves of a regular rectangular waveguide and, in the case of the boundary (δ→0), coincide with them. The error of the calculated data relative to the experimental data is about 5%, which confirms the suitability of the proposed method for practical calculations even in the first approximation.

The proposed technique may be appropriate for choosing the approximation that provides the required calculation accuracy in practice with a minimum amount of computation.

The reliability and validity of the results obtained is ensured by the convergence of the results of the calculation according to the boundary conditions with the known results and the convergence of the formulas obtained by the units of measurement.

References

Перелік посилань

Овечкин В. С. Варианты построения гофрированных волноводных фильтров / В. С. Овечкин, Н. О. Попов // Москва : Вестник МГТУ им. Н. Э. Баумана. Сер. Приборостроение. – 2018. – № 4. – С. 45–58. doi: 10.18698/0236-3933-2018-4-45-58.

Габриэльян Д. Д. Исследование частотных характеристик облучателя четырехдиапазонной антенны на основе гофрированного рупора / Д. Д. Габриэльян, В. И. Демченко, А. Е. Коровкин, Д. Я. Раздоркин, А. В. Шупилин, Ю. И. Полтавец // Москва : Ракетно-космическое приборостроение и информационные системы. – 2018. – Т. 5, №1. – С. 58–64. doi: 10.30894/issn2409-0239.2018.5.1.58.64.

Юровский Л. А. Формирование сверхмощных микроволновых импульсов в системах стретчер-усилитель-компрессор / Л. А. Юровский, И. В. Зотова, Э. Б. Абубакиров, Р. М. Розенталь, А. С. Сергеев, Н. С. Гинзбург// Журнал радиоэлектроники. – 2020. – № 12. – С. 1–11. doi.org/10.30898/1684-1719.2020.12.21.

Haas D. Calculations on Mode Eigenvalues in a Corrugated Waveguide with Varying Diameter and Corrugation Depth / Haas D., Thumm M., Jelonnek J. // Journal of Infrared, Millimeter, and Terahertz Waves. – 2021. – Vol. 42. – PP. 493–503. doi.org/10.1007/s10762-021-00791.

Doty F. D. New insights from broadband simulations into small overmoded smooth and corrugated terahertz waveguides and transitions for NMR-DNP / Doty F. D., Doty G. N., Staab J. P., Sizyuk Y., Ellis P. D. // Journal of Magnetic Resonance. – 2021. – Vol. 6–7. – PP. 1–22. doi.org/10.1016/j.jmro.2020.100009.

Dubroca T. A quasi-optical and corrugated waveguide microwave transmission system for simultaneous dynamic nuclear polarization NMR on two separate 14.1 T spectrometers / T. Dubroca, A. N. Smith, K. J. Pike, et al. // J Magn. Reson. – 2018. – Vol. 289. – PP. 35–44. doi.org/10.1016/j.jmr.2018.01.015.

Lau C. Circular corrugated miter bend and gap losses for broadband frequency applications / C. Lau, M. C. Kaufman, E. J. Doyle, G. R. Hanson, W. A. Peebles, G. Wang, A. Zolfaghari // IEEE Trans. Microw. Theory Tech. – 2019. – Vol. 67 (1). – PP. 38–49. doi.org/10.1109/TMTT.2018.2879808.

Abbasi M. W-band corrugated and non-corrugated conical horn antennas using stereolithography 3D-printing technology / M. Abbasi, D. S. Ricketts // 2016 Asia-Pacific Microwave Conference (APMC), IEEE. – 2016. – PP. 1-3. doi. org/10.1109/APMC.2016.7931300.

Patel A. Oversized circular corrugated waveguides operated at 42 GHz for ECHR application / A. Patel, P. Bhatt, K. Mahant, A. Vala, K. Sathyanarayana, S.V. Kulkarni, D. Rathi // Prog. Electromagn. Res. – 2020. – Vol. 88. – PP. 73–82. doi.org/ 10.2528/pierm19102302.

Каращук Н. М., Манойлов В. П., Сидорчук О. Л., Тарасенко С. М., Чухов В. В. Метод вимірювання ефективної діелектричної проникності частково заповнених хвилеводів за допомогою неузгодженого Т-мосту / Вісник НТУУ ''КПІ''. Серія Радіотехніка, Радіоапаратобудування. – 2019, №78. – С. 6-12. doi: 10.20535/RADAP.2019.78.6-12.

Габриэльян Д. Д. Построение облучателей многодиапазонных зеркальных антенн систем спутниковой связи / Габриэльян Д. Д., Демченко В. И., Коровкин А. Е., Раздоркин Д.Я., Гвоздяков Ю.А., Полтавец Ю.И.// Ракетно-космическое приборостроение и информационные системы. Москва: – 2017. – Т. 4, №1. – С. 40–45.doi: 10.17238/issn2409-0239.2017.1.40.

Курушин Е. Н. Дифракция электромагнитных волн на анизотропных структурах / Е. Н. Курушин, Е. И. Нефедов, А. Т. Фиалковский. – Москва : Наука, 1975. – 240 с.

Нефедов Е. И. Асимптотическая теория дифракции электромагнитных волн на конечных структурах / Е. И. Нефедов, А. Т. Фиалковский. – Москва : Наука, 1972. – 320 с.

Шаров Г. А. Волноводные устройства сантиметровых и миллиметровых волн/ Г. А. Шаров . – Москва: Горячая линия – Телеком, 2016. – 640 с.

Егоров Ю. В. Частично заполненные прямоугольные волноводы / Ю. В. Егоров// – Москва: Сов. радио, 1967. – 216 с.

Buldyrev V. S. Asymptotic methods in the problems of asoustics propagation in ocean waveguide and their number realization/V. S. Buldyrev,V. S. Buslaev// Zap. Nauchn. Sem. LOMI. – 1981. – Vol. 117. – pp. 39-77.

Бабич В. М., Булдырев В. С. Асимптотические методы в задачах дифракции коротких волн. – Москва: Наука, 1972. – 456 с.

Манойлов В. П. Широкосмугові рупорні антени зі складною формою поперечного перерізу: монографія / В.П. Манойлов, В.В. Павлюк, Р.Л. Ставісюк. – Житомир : Видавець О. О. Євенок, 2016. – 212 с.

Гнатюк М. О. Розвиток методу інтегральних рівнянь часткових областей, що перетинаються, для розв'язання хвилеводних задач дифракції: автореф. дис. канд. фіз.-мат. наук : 01.04.03 "Радіофізика" / М. О. Гнатюк; М-во освіти і науки України, Харків. нац. ун-т радіоелектроніки. – Харків, 2021. – 20 с.URI: https://openarchive.nure.ua/handle/document/15556.

Komarov's V. V. Waveguide microwave filters technical solutions, development trends and calculation methods / V. V. Komarov's, M.A. Lukyanov // Journal of Radio Electronics. – 2021. – Vol. 1. – pp. 1684–1719. doi:10.30898/1684-1719.2021.1.9.

Петров Б. М. Электродинамика и распространение радиоволн / Б. М. Петров. – Москва : Горячая линия – Телеком, 2003. – 358 с.

Вайнштейн Л. А. Электромагнитные волны / Л. А. Вайнштейн. – Москва : Радио и связь, 1988. – 440 с.

Федоров Н. Н. Основы электродинамики: учебное пособие для вузов / Н. Н. Федоров. – Москва: Высшая школа, 1980. – 399 с.

Лавренко Ю. Е. Распространение волн в многомодовом волноводе с потерями в стенках / Ю. Е. Лавренко // Санкт-Петербург: изв. ЛЭТИ. – 1977. – № 216. – С. 3–6.

Иларионов Ю.А., Раевский С.Б., Сморгонский В.Я. Расчет гофрированных и частотно-заполненных волноводов / Ю.А. Иларионов, С.Б.Раевский, В.Я. Сморгонский. – Москва: Сов. радио, 1980. – 200 с.

References

Ovechkin V. S., Popov N. O. (2018). Varianty postroeniya gofrirovannyh volnovodnyh fil'trov [Alternate Design of Corrugated Waveguide Filters]. Bauman Moscow State Technical Universiti. Journal of Instrument Engineering, No. 4. pp. 45–58. doi: 10.18698/0236-3933-2018-4-45-58. [In Russian].

Gabriehlyan D. D., Demchenko V. I., Korovkin A. E., Razdorkin D. Ya., Shupilin A. V., Poltavec Yu. I. (2018). Issledovanie chastotnykh kharakteristik obluchatelya chetyrekhdiapazonnoj antenny na osnove gofrirovannogo rupora [The Research of Exciter Frequency Characteristics of a Quad-Band Antenna Based on a Corrugated Horn]. Raketno-kosmicheskoe priborostroenie i informacionnye sistemy [Rocket-space device engineering and information systems], Vol. 5, No. 1. pp. 58–64. doi: 10.30894/issn2409-0239.2018.5.1.58.64. [In Russian].

Yurovskij L. A., Zotova I. V., Abubakirov E. B., Rozental R. M., Sergeev A. S., Ginzburg N. S. (2020). Generation of ultra-powerful microwave pulses in stretcher-amplifier-compressor systems. Journal of Radio Electronics, No. 12. pp. 58–64. doi:10.30898/1684-1719.2020.12.21.

Haas D., Thumm M., Jelonnek J. (2021). Calculations on Mode Eigenvalues in a Corrugated Waveguide with Varying Diameter and Corrugation Depth. Journal of Infrared, Millimeter, and Terahertz Waves, Vol. 42. pp. 493–503. doi:10.1007/s10762-021-00791.

Doty F. D., Doty G. N., Staab J. P., Sizyuk Y., Ellis P. D. (2021). New insights from broadband simulations into small overmoded smooth and corrugated terahertz waveguides and transitions for NMR-DNP. Journal of Magnetic Resonance Open, Vol. 6–7, pp. 1–22. doi:10.1016/j.jmro.2020.100009.

Dubroca T., Smith A. N., Pike K. J., Froud S., Wylde R., et al. (2018). A quasi-optical and corrugated waveguide microwave transmission system for simultaneous dynamic nuclear polarization NMR on two separate 14.1 T spectrometers. Journal of Magnetic Resonance, Vol. 289, pp. 35–44. doi: 10.1016/j.jmr.2018.01.015.

Lau C., Kaufman M. C., Doyle E. J., Hanson G. R., Peebles W. A., Wang G., Zolfaghari A. (2019). Circular Corrugated Miter Bend and Gap Losses for Broadband Frequency Applications. IEEE Transactions on Microwave Theory and Techniques, Vol. 67, Iss. 1, pp. 38–49. doi: 10.1109/TMTT.2018.2879808.

Abbasi M., Ricketts D. S. (2016). W-band corrugated and non-corrugated conical horn antennas using stereolithography 3D-printing technology. Asia-Pacific Microwave Conference (APMC). doi:10.1109/APMC.2016.7931300.

Patel A., Bhatt P., Mahant K., Vala A., Sathyanarayana K., Kulkarni S. V., Rathi D. (2020). Oversized Circular Corrugated Waveguides Operated at 42 GHz for ECHR Application. Progress In Electromagnetics Research M, Vol. 88, pp. 73–82. doi: 10.2528/pierm19102302.

Karashchuk N. M., Manoilov V. P., Sidorchuk О. L., Tarasenko S. M. and Chukhov V. V. (2019). Method of Measuring Effective Dielectric Permittivity of Partially Filled Waveguides Using a Mismatched T-Bridge. Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, Vol. 78, pp. 6-12. doi: 10.20535/RADAP.2019.78.6-12.

Gabriehlyan D. D., Demchenko V. I., Korovkin A. E., Razdorkin D. Ya., Gvozdyakov Yu. A., Poltavec Yu. I. (2017). Postroenie obluchatelej mnogodiapazonnykh zerkal'nykh antenn sistem sputnikovoj svyazi [Building of exciters of multiband mirror antennas for satellite communication systems]. Raketno-kosmicheskoe priborostroenie i informacionnye sistemy [Rocket-space device engineering and information systems], Vol. 4, No. 1. pp. 40–45. doi: 10.17238/issn2409-0239.2017.1.40. [In Russian].

Kurushin E. N., Nefedov E. I., Fialkovskij A. T. (1975). Difrakciya elektromagnitnykh voln na anizotropnykh strukturakh [Diffraction of electromagnetic waves by anisotropic structures]. Moskva, Science, 240 p. [In Russian].

Nefedov E. I., Fialkovskij A. T. (1972). Asimptoticheskaya teoriya difrakcii elektromagnitnykh voln na konechnykh strukturakh [Asymptotic theory of diffraction of electromagnetic waves on finite structures]. Moskva, Science, 320 p. [In Russian].

Sharov G. A. (2016). Volnovodnye ustrojstva santimetrovykh i millimetrovykh voln [Waveguide devices of centimeter and millimeter waves]. Goryachaya liniya – Telekom, 640 p. [In Russian].

Egorov Yu. V. (1967). Chastichno zapolnennye pryamougolnye volnovody [Partially filled rectangular waveguides]. Moskva: Sov. radio, 216 p. [In Russian].

Buldyrev V. S., Buslaev V. S. (1981). Asymptotic methods in the problems of asoustics propagation in ocean waveguide and their number realization. Zapiski Nauchnykh Seminarov LOMI, Vol. 117. pp. 39–77. [In English].

Babich V. M., Buldyrev V. S. (1972). Asimptoticheskie metody v zadachah difrakcii korotkih voln [Asymptotic methods in problems of diffraction of short waves]. Moskva, Nauka, 456 p. [In Russian].

Manojlov V. P., Pavljuk V. V., Stavisjuk R. L. (2016). Shyrokosmugovi ruporni anteny zi skladnoju formoju poperechnogo pererizu: monografija [Broadband horn antennas with a complex cross-sectional shape: a monograph]. Zhytomyr: Vydavec' O. O. Jevenok, 212 p. [In Ukrainian].

Gnatyuk M. O. (2021). Rozvizok metodu іntegralnikh rіvnyan chastkovikh oblastej, shcho peretinayutsya, dlya rozvyazannya khvilevodnikh zadach difrakcіi: avtoref. dis. kand. fіz.-mat. nauk: 01.04.03 "Radіofіzika" [Development of the method of integral equations of intersecting partial domains for solving waveguide diffraction problems: author's ref. dis. Cand. physical and mathematical Sciences: 01.04.03 "Radiophysics"]. Open Electronic Archive of Kharkov National University of Radio Electronics, 20 p. [In Ukrainian].

Komarov V. V., Lukyanov M. A. (2021). Waveguide microwave filters technical solutions, development trends and calculation methods. Journal of Radio Electronics, Vol. 1. pp. 1684-1719. doi:10.30898/1684-1719.2021.1.9. [In Russian].

Petrov B. M. (2003). Ehlektrodinamika i rasprostranenie radiovoln [Electrodynamics and propagation of radio waves]. Moskva, Hotline – Telekom, 358 p. [In Russian].

Vaynshteyn V. A. (1988). Elektromagnitnye volny [Electromagnetic waves]. Moskva, Radio and communication, 1988. 436 p. [In Russian].

Fedorov N. N. (1980). Osnovy ehlektrodinamiki: uchebnoe posobie dlya vuzov [Fundamentals of electrodynamics: a textbook for universities]. Moskva, High school, 399 p. [In Russian].

Lavrenko Yu. E. (1977). Rasprostranenie voln v mnogomodovom volnovode s poteryami v stenkakh [Wave propagation in a multimode waveguide with losses in the walls]. Leningrad National Technical Institute, No. 216. pp. 3–6. [In Russian].

Ilarionov Yu. A., Raevskij S. B., Smorgonskij V. Ya. (1980). Raschet gofrirovannykh i chastotno-zapolnennykh volnovodov [Calculation of corrugated and frequency-filled waveguides]. Moskva, Sov. radio, 200 p. [In Russian].

Published

2021-09-30

How to Cite

Сидорчук , О. Л., Манойлов , В. П., Каращук , Н. М. and Парфенюк , В. Г. (2021) “Research of Dispersion Characteristics of a Rectangular Waveguide with a Corrugated Bottom Wall by the Coupled Wave Method”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, (86), pp. 29-38. doi: 10.20535/RADAP.2021.86.29-38.

Issue

Section

Electrodynamics. Microwave devices. Antennas

Most read articles by the same author(s)

1 2 > >>