OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING
PACS number: 41.20.JbThe interaction problem of a semi-infinite venetian blind-type grating and finite strip grating is considered. The H-polarization case is studied. The problem solution is obtained by the operator method. The known reflection operators of the semi-infinite venetian blind-type gra...
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semi-infinite venetian blind-type grating finite strip grating operator method полубесконечная решетка типа жалюзи конечная ленточная решетка операторный метод напівнескінченна решітка типу жалюзі скінченна решітка зі стрічок операторний метод |
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semi-infinite venetian blind-type grating finite strip grating operator method полубесконечная решетка типа жалюзи конечная ленточная решетка операторный метод напівнескінченна решітка типу жалюзі скінченна решітка зі стрічок операторний метод Kaliberda, M. E. Lytvynenko, L. M. Pogarsky, S. A. OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING |
| topic_facet |
semi-infinite venetian blind-type grating finite strip grating operator method полубесконечная решетка типа жалюзи конечная ленточная решетка операторный метод напівнескінченна решітка типу жалюзі скінченна решітка зі стрічок операторний метод |
| format |
Article |
| author |
Kaliberda, M. E. Lytvynenko, L. M. Pogarsky, S. A. |
| author_facet |
Kaliberda, M. E. Lytvynenko, L. M. Pogarsky, S. A. |
| author_sort |
Kaliberda, M. E. |
| title |
OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING |
| title_short |
OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING |
| title_full |
OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING |
| title_fullStr |
OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING |
| title_full_unstemmed |
OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING |
| title_sort |
operator method in the interaction problem of the semi-infinite venetian blindtype grating and finite strip grating |
| title_alt |
ОПЕРАТОРНЫЙ МЕТОД В ЗАДАЧЕ О ВЗАИМОДЕЙСТВИИ ПОЛУБЕСКОНЕЧНОЙ РЕШЕТКИ ТИПА ЖАЛЮЗИ И КОНЕЧНОЙ ЛЕНТОЧНОЙ РЕШЕТКИ ОПЕРАТОРНИЙ МЕТОД У ЗАДАЧІ ПРО ВЗАЄМОДІЮ НАПІВНЕСКІНЧЕННОЇ РЕШІТКИ ТИПУ ЖАЛЮЗІ ТА СКІНЧЕННОЇ РЕШІТКИ ЗІ СТРІЧОК |
| description |
PACS number: 41.20.JbThe interaction problem of a semi-infinite venetian blind-type grating and finite strip grating is considered. The H-polarization case is studied. The problem solution is obtained by the operator method. The known reflection operators of the semi-infinite venetian blind-type grating and finite strip grating are used. The far field dependences are presented vs polar angle.Key words: semi-infinite venetian blind-type grating, finite strip grating, operator methodManuscript submitted 24.09.2015Radio phys. radio astron. 2015, 20(4): 332-339 REFERENCES1. FEL'D, Y. N., 1955. On infinite systems of linear algebraic equations connected with problems on semi-infinite periodic structures. Doklady AN USSR. vol. 102, no 2, pp. 257–260 (in Russian). 2. FEL'D, Y. N., 1958. Electromagnetic wave diffraction by semi-infinite grating. Radiotekhnika i Elektronika. vol. 3, no. 7, pp. 882–889 (in Russian). 3. HILLS, N. L. and KARP, S. N., 1965. Semi-infinite diffraction gratings. I. Commun. Pure Appl. Math. vol. 18, no. 1/2, pp. 203–233. 4. HILLS, N. L., 1965. Semi-infinite diffraction gratings. II. Inward resonance. Commun. Pure Appl. Math. vol. 18, no. 3, pp. 385–395. 5. WASYLKIWSKYJ, W., 1973. Mutual coupling effects in semi-infinite arrays. IEEE Trans. Antennas Propag. vol. 21, no. 3, pp. 277–285. DOI: https://doi.org/10.1109/TAP.1973.1140507 6. NISHIMOTO, M. and IKUNO, H., 1999. Analysis of electromagnetic wave diffraction by a semi-infinite strip grating and evaluation of end-effects. Progr. Electromagn. Res. (PIER). vol. 23. pp. 39–58. DOI: https://doi.org/10.1163/156939399X01177 7. LINTON, C. M. and MARTIN, P. A., 2004. Semi-infinite arrays of isotropic point-scatterers. A unified approach. SIAM J. Appl. Math. vol. 64, pp. 1035–1056. DOI: https://doi.org/10.1137/S0036139903427891 8. NEPA, P., MANARA, G. and ARMOGIDA, A., 2005. EM scattering from the edge of a semi-infinite planar strip grating using approximate boundary conditions. IEEE Trans. Antennas Propag. vol. 53, no. 1, pp. 82–90. DOI: https://doi.org/10.1109/TAP.2004.840523 9. LINTON, C. M., PORTER, R. and THOMPSON, I., 2007. Scattering by a semi-infinite periodic array and the excitation of surface waves. SIAM J. Appl. Math. vol. 67, no. 5, pp. 1233–1258. DOI: https://doi.org/10.1137/060672662 10. CAMINITA, F., NANNETTI, M. and MACI, S., 2008. An efficient approach to the solution of a semi-infinite strip grating printed on infinite grounded slab excited by a surface wave. XXIX URSI General Assembly. Chicago, IL, August 7-13, 2008, BPS 2.5. 11. CAPOLINO, F. and ALBANI, M., 2009. Truncation effects in a semi-infinite periodic array of thin strips: A discrete Wiener-Hopf formulation. Radio Sci. vol. 44, pp. 1223–1234. DOI: https://doi.org/10.1029/2007RS003821 12. CHO, Y. H., 2011. Arbitrarily polarized plane-wave diffraction from semi-infinite periodic grooves and its application to finite periodic grooves. Progr. Electromagn. Res. M (PIER M). vol. 18, pp. 43–54. DOI: https://doi.org/10.2528/PIERM11030111 13. LYTVYNENKO, L. M., REZNIK, I. I. and LYTVYNENKO, D. L., 1991. Wave scattering by semi-infinite periodic structure. Doklady AN Ukr. SSR. no. 6, pp. 62–67 (in Russian). 14. LYTVYNENKO, L. M. and PROSVIRNIN, S. L., 2012, Wave Diffraction by Periodic Multilayer Structures. Cambridge: Cambridge Scientific Publishers. 15. KALIBERDA, M. E., LITVINENKO, L. N. and POGARSKII, S. A., 2009. Operator method in the analysis of electromagnetic wave diffraction by planar screens. J. Commun. Technol. Electron. vol. 54, no. 9, pp. 975–981. DOI: https://doi.org/10.1134/S1064226909090010 16. KALIBERDA, M. E., LYTVYNENKO, L. N. and POGARSKY, S. A., 2011. Electrodynamic characteristics of multilayered system of plane screens with a slot. Radio Phys. Radio Astron. vol. 2, no. 4. pp. 339–344. 17. LYTVYNENKO, L. M., KALIBERDA, M. E. and POGARSKY, S. A., 2012. Solution of waves transformation problem in axially symmetric structures. Frequenz. vol. 66, no. 1-2, pp. 17–25. DOI: https://doi.org/10.1515/freq.2012.012 18. VOROBYOV, S. N. and LYTVYNENKO, L. M., 2011. Electromagnetic wave diffraction by semi-infinite strip grating. IEEE Trans. Antennas Propag. vol. 59, no. 6, pp. 2169–2177. DOI: https://doi.org/10.1109/TAP.2011.2143655 19. KALIBERDA, M. E., LYTVYNENKO, L. N. and POGARSKY, S. A., 2015. Diffraction of H-polarized electromagnetic waves by a multi-element planar semi-infinite grating. Telecommunications and Radio Engineering. vol. 74, no. 9, pp. 348–357. DOI: https://doi.org/10.1615/TelecomRadEng.v74.i9 20. KALIBERDA M. E. and POGARSKY S. A., 2012. Operator method in a plane waveguide eigenmodes diffraction problem by finite and semiinfinite system of slots. In: Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET) Proceedings. Kharkov, Ukraine, pp. 130–133. 21. LYTVYNENKO, L. M., KALIBERDA, M. E. and POGARSKY, S. A., 2013. Wave diffraction by semi-infinite venetian blind type grating. IEEE Trans. Antennas Propag. vol. 61, no. 12, pp. 6120–6127. DOI: https://doi.org/10.1109/TAP.2013.2281510 22. NOSICH, A. A. and GANDEL, Y. V., 2007. Numerical analysis of quasioptical multireflector antennas in 2-D with the method of discrete singularities: E-wave case. IEEE Trans. Antennas Propag. vol. 55, no. 2, pp. 399–406. DOI: https://doi.org/10.1109/TAP.2006.889811 23. FELSEN, L. B. and MARCUVITZ, N., 1973. Radiation and Scattering of Waves. Englewood Cliffs, NJ: Prentice-Hall. |
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Видавничий дім «Академперіодика» |
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2016 |
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http://rpra-journal.org.ua/index.php/ra/article/view/1227 |
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oai:ri.kharkov.ua:article-12272017-04-28T12:35:10Z OPERATOR METHOD IN THE INTERACTION PROBLEM OF THE SEMI-INFINITE VENETIAN BLINDTYPE GRATING AND FINITE STRIP GRATING ОПЕРАТОРНЫЙ МЕТОД В ЗАДАЧЕ О ВЗАИМОДЕЙСТВИИ ПОЛУБЕСКОНЕЧНОЙ РЕШЕТКИ ТИПА ЖАЛЮЗИ И КОНЕЧНОЙ ЛЕНТОЧНОЙ РЕШЕТКИ ОПЕРАТОРНИЙ МЕТОД У ЗАДАЧІ ПРО ВЗАЄМОДІЮ НАПІВНЕСКІНЧЕННОЇ РЕШІТКИ ТИПУ ЖАЛЮЗІ ТА СКІНЧЕННОЇ РЕШІТКИ ЗІ СТРІЧОК Kaliberda, M. E. Lytvynenko, L. M. Pogarsky, S. A. semi-infinite venetian blind-type grating; finite strip grating; operator method полубесконечная решетка типа жалюзи; конечная ленточная решетка; операторный метод напівнескінченна решітка типу жалюзі; скінченна решітка зі стрічок; операторний метод PACS number: 41.20.JbThe interaction problem of a semi-infinite venetian blind-type grating and finite strip grating is considered. The H-polarization case is studied. The problem solution is obtained by the operator method. The known reflection operators of the semi-infinite venetian blind-type grating and finite strip grating are used. The far field dependences are presented vs polar angle.Key words: semi-infinite venetian blind-type grating, finite strip grating, operator methodManuscript submitted 24.09.2015Radio phys. radio astron. 2015, 20(4): 332-339 REFERENCES1. FEL'D, Y. N., 1955. On infinite systems of linear algebraic equations connected with problems on semi-infinite periodic structures. Doklady AN USSR. vol. 102, no 2, pp. 257–260 (in Russian). 2. FEL'D, Y. N., 1958. Electromagnetic wave diffraction by semi-infinite grating. Radiotekhnika i Elektronika. vol. 3, no. 7, pp. 882–889 (in Russian). 3. HILLS, N. L. and KARP, S. N., 1965. Semi-infinite diffraction gratings. I. Commun. Pure Appl. Math. vol. 18, no. 1/2, pp. 203–233. 4. HILLS, N. L., 1965. Semi-infinite diffraction gratings. II. Inward resonance. Commun. Pure Appl. Math. vol. 18, no. 3, pp. 385–395. 5. WASYLKIWSKYJ, W., 1973. Mutual coupling effects in semi-infinite arrays. IEEE Trans. Antennas Propag. vol. 21, no. 3, pp. 277–285. DOI: https://doi.org/10.1109/TAP.1973.1140507 6. NISHIMOTO, M. and IKUNO, H., 1999. Analysis of electromagnetic wave diffraction by a semi-infinite strip grating and evaluation of end-effects. Progr. Electromagn. Res. (PIER). vol. 23. pp. 39–58. DOI: https://doi.org/10.1163/156939399X01177 7. LINTON, C. M. and MARTIN, P. A., 2004. Semi-infinite arrays of isotropic point-scatterers. A unified approach. SIAM J. Appl. Math. vol. 64, pp. 1035–1056. DOI: https://doi.org/10.1137/S0036139903427891 8. NEPA, P., MANARA, G. and ARMOGIDA, A., 2005. EM scattering from the edge of a semi-infinite planar strip grating using approximate boundary conditions. IEEE Trans. Antennas Propag. vol. 53, no. 1, pp. 82–90. DOI: https://doi.org/10.1109/TAP.2004.840523 9. LINTON, C. M., PORTER, R. and THOMPSON, I., 2007. Scattering by a semi-infinite periodic array and the excitation of surface waves. SIAM J. Appl. Math. vol. 67, no. 5, pp. 1233–1258. DOI: https://doi.org/10.1137/060672662 10. CAMINITA, F., NANNETTI, M. and MACI, S., 2008. An efficient approach to the solution of a semi-infinite strip grating printed on infinite grounded slab excited by a surface wave. XXIX URSI General Assembly. Chicago, IL, August 7-13, 2008, BPS 2.5. 11. CAPOLINO, F. and ALBANI, M., 2009. Truncation effects in a semi-infinite periodic array of thin strips: A discrete Wiener-Hopf formulation. Radio Sci. vol. 44, pp. 1223–1234. DOI: https://doi.org/10.1029/2007RS003821 12. CHO, Y. H., 2011. Arbitrarily polarized plane-wave diffraction from semi-infinite periodic grooves and its application to finite periodic grooves. Progr. Electromagn. Res. M (PIER M). vol. 18, pp. 43–54. DOI: https://doi.org/10.2528/PIERM11030111 13. LYTVYNENKO, L. M., REZNIK, I. I. and LYTVYNENKO, D. L., 1991. Wave scattering by semi-infinite periodic structure. Doklady AN Ukr. SSR. no. 6, pp. 62–67 (in Russian). 14. LYTVYNENKO, L. M. and PROSVIRNIN, S. L., 2012, Wave Diffraction by Periodic Multilayer Structures. Cambridge: Cambridge Scientific Publishers. 15. KALIBERDA, M. E., LITVINENKO, L. N. and POGARSKII, S. A., 2009. Operator method in the analysis of electromagnetic wave diffraction by planar screens. J. Commun. Technol. Electron. vol. 54, no. 9, pp. 975–981. DOI: https://doi.org/10.1134/S1064226909090010 16. KALIBERDA, M. E., LYTVYNENKO, L. N. and POGARSKY, S. A., 2011. Electrodynamic characteristics of multilayered system of plane screens with a slot. Radio Phys. Radio Astron. vol. 2, no. 4. pp. 339–344. 17. LYTVYNENKO, L. M., KALIBERDA, M. E. and POGARSKY, S. A., 2012. Solution of waves transformation problem in axially symmetric structures. Frequenz. vol. 66, no. 1-2, pp. 17–25. DOI: https://doi.org/10.1515/freq.2012.012 18. VOROBYOV, S. N. and LYTVYNENKO, L. M., 2011. Electromagnetic wave diffraction by semi-infinite strip grating. IEEE Trans. Antennas Propag. vol. 59, no. 6, pp. 2169–2177. DOI: https://doi.org/10.1109/TAP.2011.2143655 19. KALIBERDA, M. E., LYTVYNENKO, L. N. and POGARSKY, S. A., 2015. Diffraction of H-polarized electromagnetic waves by a multi-element planar semi-infinite grating. Telecommunications and Radio Engineering. vol. 74, no. 9, pp. 348–357. DOI: https://doi.org/10.1615/TelecomRadEng.v74.i9 20. KALIBERDA M. E. and POGARSKY S. A., 2012. Operator method in a plane waveguide eigenmodes diffraction problem by finite and semiinfinite system of slots. In: Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET) Proceedings. Kharkov, Ukraine, pp. 130–133. 21. LYTVYNENKO, L. M., KALIBERDA, M. E. and POGARSKY, S. A., 2013. Wave diffraction by semi-infinite venetian blind type grating. IEEE Trans. Antennas Propag. vol. 61, no. 12, pp. 6120–6127. DOI: https://doi.org/10.1109/TAP.2013.2281510 22. NOSICH, A. A. and GANDEL, Y. V., 2007. Numerical analysis of quasioptical multireflector antennas in 2-D with the method of discrete singularities: E-wave case. IEEE Trans. Antennas Propag. vol. 55, no. 2, pp. 399–406. DOI: https://doi.org/10.1109/TAP.2006.889811 23. FELSEN, L. B. and MARCUVITZ, N., 1973. Radiation and Scattering of Waves. Englewood Cliffs, NJ: Prentice-Hall. УДК 537.874.6PACS number: 41.20.JbРассмотрена задача о взаимодействии полубесконечной периодической решетки типа жалюзи и конечной ленточной решетки. Исследован случай H-поляризации. Решение задачи получено операторным методом. При этом использованы известные операторы отражения полубесконечной решетки типа жалюзи и плоской конечной решетки. Приведены зависимости отраженного поля в дальней зоне от полярного угла.Ключевые слова: полубесконечная решетка типа жалюзи, конечная ленточная решетка, операторный методСтатья поступила в редакцию 24.09.2015Radio phys. radio astron. 2015, 20(4): 332-339 СПИСОК ЛИТЕРАТУРЫ1. Фельд. Я. Н. О бесконечных системах линейных алгебраических уравнений, связанных с задачами о полубесконечных периодических структурах // Доклады АН СССР. – 1955. – Т. 102, № 2. – С. 257–260.2. Фельд Я. Н. Дифракция электромагнитной волны на полубесконечной решетке // Радиотехника и электроника. – 1958. – Т. 3, № 7. – С. 882–889.3. Hills N. L. and Karp S. N. Semi-Infinite Diffraction Gratings. I // Commun. Pure Appl. Math. – 1965. – Vol. 18, No. 1/2. – P. 203–233.4. Hills N. L. Semi-Infinite Diffraction Gratings. II. Inward Resonance // Commun. Pure Appl. Math. – 1965. – Vol. 18, No. 3. – P. 385–395.5. Wasylkiwskyj W. Mutual Coupling Effects in Semi-Infinite Arrays // IEEE Trans. Antennas Propag. – 1973. – Vol. 21, No. 3. – P. 277–285. DOI: 10.1109/TAP.1973.11405076. Nishimoto M. and Ikuno H. Analysis of Electromagnetic Wave Diffraction by a Semi-Infinite Strip Grating and Evaluation of End-Effects // Progr. Electromagn. Res. (PIER) – 1999. – Vol. 23. – P. 39–58. DOI: 10.1163/156939399X011777. Linton C. M. and Martin P. A. Semi-Infinite Arrays of Isotropic Point-Scatterers. A Unified Approach // SIAM J. Appl. Math. – 2004. – Vol. 64. – P. 1035–1056. DOI: 10.1137/S00361399034278918. Nepa P., Manara G., and Armogida A. EM Scattering From the Edge of a Semi-Infinite Planar Strip Grating Using Approximate Boundary Conditions // IEEE Trans. Antennas Propag. – 2005. – Vol. 53, No. 1. – P. 82–90. DOI: 10.1109/TAP.2004.8405239. Linton C. M., Porter R., and Thompson I. Scattering by a Semi-Infinite Periodic Array and the Excitation of Surface Waves // SIAM J. Appl. Math. – 2007. – Vol. 67, No. 5. – P. 1233–1258. DOI: 10.1137/06067266210. Caminita F., Nannetti M., and Maci S. An Efficient Approach to the Solution of a Semi-Infinite Strip Grating Printed on Infinite Grounded Slab Excited by a Surface Wave // XXIX URSI General Assembly August 7-13, 2008. – Chicago, IL (USA). – 2008. – BPS 2.5.11. Capolino F. and Albani M. Truncation Effects in a Semi-Infinite Periodic Array of Thin Strips: A Discrete Wiener-Hopf Formulation // Radio Sci. – 2009. – Vol. 44. – P. 1223–1234. DOI: 10.1029/2007RS00382112. Cho Y. H. Arbitrarily Polarized Plane-Wave Diffraction from Semi-Infinite Periodic Grooves and Its Application to Finite Periodic Grooves // Progr. Electromagn. Res. M (PIER M) – 2011. – Vol. 18. – P. 43–54. DOI: 10.2528/PIERM1103011113. Литвиненко Л. М., Резник І. І., Литвиненко Д. Л. Дифракція хвиль на напівнескінченних періодичних структурах // Доповіді АН УРСР. – 1991. – № 6. – С. 62–66.14. Lytvynenko L. M. and Prosvirnin S. L. Wave Diffraction by Periodic Multilayer Structures. – Cambridge: Cambridge Scientific Publishers, 2012. – 158 p.15. Kaliberda M. E., Litvinenko L. N., and Pogarskii S. A. Operator Method in the Analysis of Electromagnetic Wave Diffraction by Planar Screens // J. Commun. Technol. Electron. – 2009. – Vol.54, No. 9. – P. 975–981. DOI: 10.1134/S106422690909001016. Kaliberda M. E., Lytvynenko L. N., and Pogarsky S. A. Electrodynamic Characteristics of Multilayered System of Plane Screens with a Slot // Radio Phys. Radio Astron. – 2011. – Vol. 2, Is. 4. – P. 339–344.17. Lytvynenko L. M., Kaliberda M. E., and Pogarsky S. A. Solution of Waves Transformation Problem in Axially Symmetric Structures // Frequenz. – 2012. – Vol. 66, No. 1-2. – P. 17–25. DOI: 10.1515/FREQ.2012.01218. Vorobyov S. N. and Lytvynenko L. M. Electromagnetic Wave Diffraction by Semi-Infinite Strip Grating // IEEE Trans. Antennas Propag. – 2011. – Vol. 59, No. 6. – P. 2169–2177. DOI: 10.1109/TAP.2011.214365519. Kaliberda M. E., Lytvynenko L. N., and Pogarsky S. A. Diffraction of H-polarized electromagnetic waves by a multi-element planar semi-infinite grating // Telecommunications and Radio Engineering. – 2015. – Vol. 74, No. 9. – P. 348–357. DOI: 10.1615/TelecomRadEng.v74.i920. Kaliberda M. E. and Pogarsky S. A. Operator method in a plane waveguide eigenmodes diffraction problem by finite and semiinfinite system of slots // Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET) – Kharkiv (Ukraine). – 2012. – P. 130–133.21. Lytvynenko L. M., Kaliberda M. E., and Pogarsky S. A. Wave Diffraction by Semi-Infinite Venetian Blind Type Grating // IEEE Trans. Antennas Propag. – 2013. – Vol. 61, No. 12. – P. 6120–6127. DOI: 10.1109/TAP.2013.228151022. Nosich A. A. and Gandel Y. V. Numerical Analysis of Quasioptical Multireflector Antennas in 2-D with the Method of Discrete Singularities: E-Wave Case // IEEE Trans. Antennas Propag. – 2007. – Vol. 55, No. 2. – P. 399–406. DOI: 10.1109/TAP.2006.88981123. Felsen L. B. and Marcuvitz N. Radiation and Scattering of Waves. – Englewood Cliffs, NJ: Prentice-Hall, 1973. – 888 p. Розглянуто задачу про взаємодію напівнескінченної періодичної решітки типу жалюзі і скінченної решітки зі стрічок. Досліджено випадок H-поляризації. 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Electromagnetic Wave Diffraction by Semi-Infinite Strip Grating // IEEE Trans. Antennas Propag. – 2011. – Vol. 59, No. 6. – P. 2169–2177. DOI: 10.1109/TAP.2011.214365519. Kaliberda M. E., Lytvynenko L. N., and Pogarsky S. A. Diffraction of H-polarized electromagnetic waves by a multi-element planar semi-infinite grating // Telecommunications and Radio Engineering. – 2015. – Vol. 74, No. 9. – P. 348–357. DOI: 10.1615/TelecomRadEng.v74.i920. Kaliberda M. E. and Pogarsky S. A. Operator method in a plane waveguide eigenmodes diffraction problem by finite and semiinfinite system of slots // Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET) – Kharkiv (Ukraine). – 2012. – P. 130–133.21. Lytvynenko L. M., Kaliberda M. E., and Pogarsky S. A. Wave Diffraction by Semi-Infinite Venetian Blind Type Grating // IEEE Trans. Antennas Propag. – 2013. – Vol. 61, No. 12. – P. 6120–6127. DOI: 10.1109/TAP.2013.228151022. Nosich A. A. and Gandel Y. V. Numerical Analysis of Quasioptical Multireflector Antennas in 2-D with the Method of Discrete Singularities: E-Wave Case // IEEE Trans. Antennas Propag. – 2007. – Vol. 55, No. 2. – P. 399–406. DOI: 10.1109/TAP.2006.88981123. Felsen L. B. and Marcuvitz N. Radiation and Scattering of Waves. – Englewood Cliffs, NJ: Prentice-Hall, 1973. – 888 p. Видавничий дім «Академперіодика» 2016-03-30 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/1227 10.15407/rpra20.04.332 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 20, No 4 (2015); 332 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 20, No 4 (2015); 332 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 20, No 4 (2015); 332 2415-7007 1027-9636 10.15407/rpra20.04 rus http://rpra-journal.org.ua/index.php/ra/article/view/1227/862 Copyright (c) 2015 RADIO PHYSICS AND RADIO ASTRONOMY |