Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460354
T. Rokhmanova, S. Apostolov, N. Kvitka, V. Yampol’skii
Layered superconductors represent unusual materials that invoke the interest of many researchers. To describe electrodynamics in layered superconductors, well-known coupled sine-Gordon equations are widely used. The field components of the waves localized on layered superconductors in the presence of dc magnetic field can be found in WKB (quasiclassical) approximation. However, this approximation does not allow studying dispersion curves in important regions, namely near the light line and at the frequencies close to the Josephson plasma frequency. In this work, we show that the theoretical study of plasma waves localized on a layered superconductor can be performed in more accurate form using Legendre functions.
{"title":"Description of Localized Josephson Plasma Waves: Legendre Functions vs WKB Approximation","authors":"T. Rokhmanova, S. Apostolov, N. Kvitka, V. Yampol’skii","doi":"10.1109/MMET.2018.8460354","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460354","url":null,"abstract":"Layered superconductors represent unusual materials that invoke the interest of many researchers. To describe electrodynamics in layered superconductors, well-known coupled sine-Gordon equations are widely used. The field components of the waves localized on layered superconductors in the presence of dc magnetic field can be found in WKB (quasiclassical) approximation. However, this approximation does not allow studying dispersion curves in important regions, namely near the light line and at the frequencies close to the Josephson plasma frequency. In this work, we show that the theoretical study of plasma waves localized on a layered superconductor can be performed in more accurate form using Legendre functions.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130848045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/mmet.2018.8460365
Z. Eremenko, Y. Tarasov, I. Volovichev
We develop a novel theoretical method for solving the Maxwell equations in cavity resonators with inhomogeneous and asymmetrical filling. The method relies on the transition from vector description of electromagnetic fields in the resonator to a description in terms of two scalar functions (Debye potentials) for which we derive the original control equations. The solution to these equations is carried out with the use of Green functions, for which we obtain the infinite set of coupled equations in the resonance mode representation. The equations, which contain operator-valued potentials, are solved unperturbatively, by applying the original method for resonance mode decoupling. The frequency spectrum of the resonator with central-layered dielectric infill, which is found based on the developed theory, is in good agreement with the spectrum obtained numerically directly from Maxwell equations. The analysis of the inter-frequency intervals in the spectrum reveals its gradual chaotization with breaking the resonator symmetry.
{"title":"The Method of Potentials for the Frequency Spectrum of Non-Homogeneous Spherical Cavities","authors":"Z. Eremenko, Y. Tarasov, I. Volovichev","doi":"10.1109/mmet.2018.8460365","DOIUrl":"https://doi.org/10.1109/mmet.2018.8460365","url":null,"abstract":"We develop a novel theoretical method for solving the Maxwell equations in cavity resonators with inhomogeneous and asymmetrical filling. The method relies on the transition from vector description of electromagnetic fields in the resonator to a description in terms of two scalar functions (Debye potentials) for which we derive the original control equations. The solution to these equations is carried out with the use of Green functions, for which we obtain the infinite set of coupled equations in the resonance mode representation. The equations, which contain operator-valued potentials, are solved unperturbatively, by applying the original method for resonance mode decoupling. The frequency spectrum of the resonator with central-layered dielectric infill, which is found based on the developed theory, is in good agreement with the spectrum obtained numerically directly from Maxwell equations. The analysis of the inter-frequency intervals in the spectrum reveals its gradual chaotization with breaking the resonator symmetry.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129513165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460468
E. Odarenko, Y. Sashkova, E. Odarenko, A. Shmat’ko, N. G. Shevchenko
Modified photonic crystal waveguides with additional layers on the boundaries of hollow core are investigated. Dispersion diagrams and spatial distributions of the longitudinal electric field component are calculated. It is shown that modification of the photonic crystal waveguide results in changing of slow wave electric field cross section in the waveguide channel. Field intensity maxima of the slow wave even modes are formed not only on hollow core boundaries but also in the center of waveguide channel. Thus modified photonic crystal waveguides with hollow core can be used as novel slow-wave systems for vacuum electron devices with linear electron beams especially in terahertz frequency range.
{"title":"Analysis of Slow Wave Modes in Modified Photonic Crystal Waveguides Using the MPB Package","authors":"E. Odarenko, Y. Sashkova, E. Odarenko, A. Shmat’ko, N. G. Shevchenko","doi":"10.1109/MMET.2018.8460468","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460468","url":null,"abstract":"Modified photonic crystal waveguides with additional layers on the boundaries of hollow core are investigated. Dispersion diagrams and spatial distributions of the longitudinal electric field component are calculated. It is shown that modification of the photonic crystal waveguide results in changing of slow wave electric field cross section in the waveguide channel. Field intensity maxima of the slow wave even modes are formed not only on hollow core boundaries but also in the center of waveguide channel. Thus modified photonic crystal waveguides with hollow core can be used as novel slow-wave systems for vacuum electron devices with linear electron beams especially in terahertz frequency range.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"177 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134322533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/mmet.2018.8460389
{"title":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory","authors":"","doi":"10.1109/mmet.2018.8460389","DOIUrl":"https://doi.org/10.1109/mmet.2018.8460389","url":null,"abstract":"","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115465523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460427
S. Apostolov, D. V. Kadvarob, Z. A. Maizclis, A. Nikolaenko, V. Yampol’skii
The nonlinear anisotropic Josephson plasma, which is formed in layered superconductors, supports propagation of the Terahertz waves and exhibits many interesting phenomena. In particular, the Josephson plasma waves localized on a slab of layered superconductor are proved to have the anomalous dispersion in a wide range of parameters. In the present work, we study the nonlinear localized waves and show that the electromagnetic field in the layered superconductor can be described in terms of the Jacobi elliptic functions. We derive the dispersion relation in the analytic form, reveal the non-symmetric localized waves, and discuss the possibility to observe the stop-light phenomenon in layered superconductors.
{"title":"Nonlinear localized waves in layered superconductors: Jacobi elliptic functions approach","authors":"S. Apostolov, D. V. Kadvarob, Z. A. Maizclis, A. Nikolaenko, V. Yampol’skii","doi":"10.1109/MMET.2018.8460427","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460427","url":null,"abstract":"The nonlinear anisotropic Josephson plasma, which is formed in layered superconductors, supports propagation of the Terahertz waves and exhibits many interesting phenomena. In particular, the Josephson plasma waves localized on a slab of layered superconductor are proved to have the anomalous dispersion in a wide range of parameters. In the present work, we study the nonlinear localized waves and show that the electromagnetic field in the layered superconductor can be described in terms of the Jacobi elliptic functions. We derive the dispersion relation in the analytic form, reveal the non-symmetric localized waves, and discuss the possibility to observe the stop-light phenomenon in layered superconductors.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122167249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460289
I. Fedorin
In this paper, dispersion properties of hybrid Dyakonov surface waves at the plane interface between a nanocomposite made of a semiconductor inclusions distributed in a transparent matrix and a hypercrystal, formed by an alternating dielectric and hyperbolic layers are studied. Electrodynamic Maxwell-Garnett model was applied to simulate the effective resonance permittivity of the nanocomposite. The hypercrystal is considered in the subwavelength approximation as a uniaxial media with two different principal permittivity tensor components. It is shown, that by properly choosing the physical and geometrical parameters of the contacting composites, like the volume fractions of nano-inclusions, hyperbolic and dielectric layers inside hypercrystal, the effective control over Dyakonov surface waves angular range as well as penetration depth is possible. The influence of dissipations is evaluated numerically.
{"title":"Dyakonov Surface Waves at the Interface between Porous Nanocomposite and Hypercrystal","authors":"I. Fedorin","doi":"10.1109/MMET.2018.8460289","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460289","url":null,"abstract":"In this paper, dispersion properties of hybrid Dyakonov surface waves at the plane interface between a nanocomposite made of a semiconductor inclusions distributed in a transparent matrix and a hypercrystal, formed by an alternating dielectric and hyperbolic layers are studied. Electrodynamic Maxwell-Garnett model was applied to simulate the effective resonance permittivity of the nanocomposite. The hypercrystal is considered in the subwavelength approximation as a uniaxial media with two different principal permittivity tensor components. It is shown, that by properly choosing the physical and geometrical parameters of the contacting composites, like the volume fractions of nano-inclusions, hyperbolic and dielectric layers inside hypercrystal, the effective control over Dyakonov surface waves angular range as well as penetration depth is possible. The influence of dissipations is evaluated numerically.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123215088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460364
G. P. Zouros, V. Borulko
In this work we present an alternative way of integrating highly oscillating functions, using Prony interpolation (PI) technique. Such integrals appear in various engineering problems, including physical optics, high-frequency scattering, or retarded potential computations. We develop a quadrature for the numerical integration over a finite domain [a, b]. Domain [a, b] is suitably divided into subdomains, within each PI is performed on the integrand function. We investigate lower as well as higher order Prony interpolation (HOPI) schemes for the accurate computation of the integral. We compare HOPI quadrature in terms of function evaluations versus other suitable quadratures for highly oscillating functions, such as Matlab's quadgk, and we compare its accuracy with Levin type method. Various numerical results are presented.
{"title":"Integration of Highly Oscillating Functions Using Prony Interpolation","authors":"G. P. Zouros, V. Borulko","doi":"10.1109/MMET.2018.8460364","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460364","url":null,"abstract":"In this work we present an alternative way of integrating highly oscillating functions, using Prony interpolation (PI) technique. Such integrals appear in various engineering problems, including physical optics, high-frequency scattering, or retarded potential computations. We develop a quadrature for the numerical integration over a finite domain [a, b]. Domain [a, b] is suitably divided into subdomains, within each PI is performed on the integrand function. We investigate lower as well as higher order Prony interpolation (HOPI) schemes for the accurate computation of the integral. We compare HOPI quadrature in terms of function evaluations versus other suitable quadratures for highly oscillating functions, such as Matlab's quadgk, and we compare its accuracy with Levin type method. Various numerical results are presented.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128111372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460359
Yevhen Chervoniak, R. Sinitsyn, F. Yanovsky, O. Zaporozhets
In this paper, the authors propose an alternative method of passive detection and tracking of flying vehicles. It consists of special hardware and software designed and developed by the authors. The software consists of an alternative procedure of time and frequency shift estimation, which is based on resampling of an acoustic signal. This makes calculations faster in comparison with traditional methods. Combination of several socalled TDoA (time difference of arrival) estimates provides the graphical representation of flying vehicle position on the coordinate plane at any time moment. In addition, the estimation of Doppler shift helps to get target velocity and to distinguish moving and stationary targets.
{"title":"TDoA and Doppler Shift Estimation Method for Passive Acoustic Location of Flying Vehicles","authors":"Yevhen Chervoniak, R. Sinitsyn, F. Yanovsky, O. Zaporozhets","doi":"10.1109/MMET.2018.8460359","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460359","url":null,"abstract":"In this paper, the authors propose an alternative method of passive detection and tracking of flying vehicles. It consists of special hardware and software designed and developed by the authors. The software consists of an alternative procedure of time and frequency shift estimation, which is based on resampling of an acoustic signal. This makes calculations faster in comparison with traditional methods. Combination of several socalled TDoA (time difference of arrival) estimates provides the graphical representation of flying vehicle position on the coordinate plane at any time moment. In addition, the estimation of Doppler shift helps to get target velocity and to distinguish moving and stationary targets.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129696393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/mmet.2018.8460399
{"title":"17TH IEEE International Conference on Mathematical Methods in Electromagnetic Theory","authors":"","doi":"10.1109/mmet.2018.8460399","DOIUrl":"https://doi.org/10.1109/mmet.2018.8460399","url":null,"abstract":"","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125453461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-07-01DOI: 10.1109/MMET.2018.8460286
V. Shcherbinin, V. Tkachenko
Coupled-mode formulation for the coaxial cavities is extended to the case of nonzero but small wall impedance. This formulation is applied to the cold analysis of coaxial gyrotron cavity with stepped inner conductor. Such conductor is proposed as a means for selective suppression of the fundamental competing modes in sub-terahertz second-harmonic gyrotrons.
{"title":"Coaxial Cavity with Stepped Inner Conductor for Sub-Terahertz Second-Harmonic Gyrotron","authors":"V. Shcherbinin, V. Tkachenko","doi":"10.1109/MMET.2018.8460286","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460286","url":null,"abstract":"Coupled-mode formulation for the coaxial cavities is extended to the case of nonzero but small wall impedance. This formulation is applied to the cold analysis of coaxial gyrotron cavity with stepped inner conductor. Such conductor is proposed as a means for selective suppression of the fundamental competing modes in sub-terahertz second-harmonic gyrotrons.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124519827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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