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Shestopalov, Yury

Open this publication in new window or tab >>Accurate cutoff wavenumbers of a waveguide perturbed by axially aligned inner conductors### Smith, Paul D.

### Vinogradova, Elena D.

### Shestopalov, Yury

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_some",{id:"formSmash:j_idt184:0:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_otherAuthors",{id:"formSmash:j_idt184:0:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, p. 1049-1049Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

Mathematical model, Propagation constant, Strips, Cutoff frequency, Transmission line matrix methods, Conductors, Australia
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-30884 (URN)10.1109/ICEAA.2019.8879114 (DOI)2-s2.0-85074937469 (Scopus ID)978-1-7281-0563-5 (ISBN)
##### Conference

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 9-13 September 2019, Granada, Spain
#####

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Available from: 2019-11-05 Created: 2019-11-05 Last updated: 2019-11-25Bibliographically approved

Macquarie University, Sydney, Australia.

Macquarie University, Sydney, Australia.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.

Time-harmonic propagating modes in a perfectly electrically conducting waveguide with constant cross-section $\partial \mathrm{D}$ and axis aligned with the z-axis have the form $\mathrm{u}(\mathrm{x},\mathrm{y})\mathrm{e}^{-\mathrm{i}\omega \mathrm{t}-\mathrm{i}\gamma\mathrm{z}}$ where the cross-sectional function u satisfies the two-dimensional Helmholtz equation $(\Delta+\lambda)\mathrm{u}=0$; here $k$ denotes the wavenumber and $\lambda=\mathrm{k}^{2}-\gamma^{2}$. Propagating modes occur at values $\lambda_{1}\leq\lambda_{2}\leq\lambda_{3}\leq\cdots$ of $\lambda$ generating non-trivial solutions of the Helmholtz equation; the cutoff wavenumbers correspond to setting $\gamma$ to zero. Now suppose that axially aligned PEC structures of cross-section $\Gamma$ are inserted in the waveguide. The propagation constants are perturbed to values that may be denoted $\lambda_{1}+\Delta\lambda_{1},\lambda_{2}+\Delta\lambda_{2},\ldots$; the cutoff wavenumbers of the empty waveguide are correspondingly perturbed. In this paper we present a reliable, effective and efficient method to obtain the perturbed propagation constants. It allows us to examine the inclusion of multiple strips aligned with the z-axis, with the potential for characterizing propagation in structures with a number of small strip inserts, metamaterial-filled waveguides and so on.

Open this publication in new window or tab >>Analysis of the surface impedance of a sinusoidally modulated metasurface### Cappello, Barbara

### Shestopalov, Yury

### Matekovits, Ladislau

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_some",{id:"formSmash:j_idt184:1:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_otherAuthors",{id:"formSmash:j_idt184:1:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), IEEE, 2019, p. 0075-0077Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

IEEE, 2019
##### Keywords

Impedance, Surface impedance, Dielectrics, Surface waves, Harmonic analysis, Scattering, Cloaking, metamaterials, periodic structures
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-30885 (URN)10.1109/ICEAA.2019.8879149 (DOI)2-s2.0-85074934092 (Scopus ID)978-1-7281-0563-5 (ISBN)
##### Conference

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 9-13 September 2019, Granada, Spain
#####

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Available from: 2019-11-05 Created: 2019-11-05 Last updated: 2019-11-25Bibliographically approved

Politecnico di Torino, Torino, Italy.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.

Politecnico di Torino, Torino, Italy.

Metasurfaces have been extensively exploited in recent years for mantle cloaking applications. In this type of problems it is of fundamental importance to determine the connection between the metasurface geometrical parameters and the realised value of surface impedance, in order to properly design the metasurface. In this paper the surface impedance of a non homogeneous metasurface, based on a sinusoidally modulated metallic pattern is analysed.

Open this publication in new window or tab >>Diffraction of a TE-Polarized Wave by a Nonlinear Goubau Line### Smirnov, Yuri

### Smolkin, Eugene

### Shestopalov, Yury

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_some",{id:"formSmash:j_idt184:2:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_otherAuthors",{id:"formSmash:j_idt184:2:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Radio Science, ISSN 0048-6604, E-ISSN 1944-799X, Vol. 54, no 1, p. 151-157Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Blackwell Publishing Ltd, 2019
##### Keywords

nonlinear waveguide, numerical method, TE polarization, the diffraction problem, Dielectric waveguides, Numerical methods, Analytical and numerical solutions, Diffraction problem, Kerr nonlinearity, Nonlinear metals, Nonlinear waveguides, Numerical results, TE polarizations, Transmitted field, Diffraction
##### National Category

Mathematics Other Engineering and Technologies
##### Identifiers

urn:nbn:se:hig:diva-30478 (URN)10.1029/2018RS006629 (DOI)000458731300012 ()2-s2.0-85060646358 (Scopus ID)
#####

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#####

##### Projects

Largescale
##### Funder

Swedish Institute
##### Note

Department of Mathematics and Supercomputing, Penza State University, Russian Federation.

Department of Mathematics and Supercomputing, Penza State University, Russian Federation.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.

The diffraction of a cylindrical wave by a nonlinear metal-dielectric waveguide filled with nonlinear medium is considered. Two widely used types of nonlinearities (Kerr nonlinearity and nonlinearity with saturation) are considered. The problem is to find amplitudes of the reflected and the transmitted fields when the amplitude of the incident field is known. The analytical and numerical solution techniques are developed. Numerical results are presented. ©2019. American Geophysical Union. All Rights Reserved.

Funding agencies:

- Ministry of Education and Science of the Russian Federation Grant no. 1.894.2017/4.6

- University of Gavle, Sweden

Available from: 2019-08-09 Created: 2019-08-09 Last updated: 2019-08-09Bibliographically approvedOpen this publication in new window or tab >>Inverse Scattering and Imaging Using Second Order Optical Nonlinearities### Khulbe, Manisha

### Tripathy, Malay Ranjan

### Parthasarathy, Harish

### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_some",{id:"formSmash:j_idt184:3:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_some",multiple:true}); ### Lagovsky, Boris

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_otherAuthors",{id:"formSmash:j_idt184:3:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_otherAuthors",multiple:true}); Show others...PrimeFaces.cw("SelectBooleanButton","widget_formSmash_j_idt184_3_j_idt188_j_idt202",{id:"formSmash:j_idt184:3:j_idt188:j_idt202",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt202",onLabel:"Hide others...",offLabel:"Show others..."}); 2019 (English)In: 2019 6th International Conference on Signal Processing and Integrated Networks, SPIN 2019, IEEE, 2019, p. 1086-1089Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

IEEE, 2019
##### Keywords

Inverse scattering, least square estimation techniques, Optical nonlinearity, parameter extraction, permeability, permittivity, RF imaging, Electromagnetic fields, Electromagnetic wave diffraction, Mechanical permeability, Parameter estimation, Perturbation techniques, Signal processing, Least square estimation, Perturbation theory, Scattered electromagnetic fields, Second order optical nonlinearity, Third-order optical nonlinearities, Nonlinear optics
##### National Category

Signal Processing
##### Identifiers

urn:nbn:se:hig:diva-30501 (URN)10.1109/SPIN.2019.8711652 (DOI)000470844100209 ()2-s2.0-85066895033 (Scopus ID)9781728113791 (ISBN)
##### Conference

6th International Conference on Signal Processing and Integrated Networks, SPIN 2019, 7-8 March 2019, Noida, India
#####

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##### Note

Ambedkar Institute of Advanced Communication Technologies and Research (AIACTR), Delhi, India.

Amity School of Engineerng and Technology, Amity University, Noida, India.

Netaji Subhash Institute of Technology (NSIT), N. Delhi, India.

Russian Technological University, MIREA, Moscow, Russia.

In this paper a mathematical technique is developed to find the parameters of a medium in terms of its scattered electromagnetic fields. Optical nonlinearity plays an important role in finding the scattering parameters of a medium. Using perturbation theory and nonlinear inverse scattering techniques with first order, second order and third order optical nonlinearity we find scattered electromagnetic fields. Using error minimization techniques parameters are estimated in term of permittivity and permeability up to second order. © 2019 IEEE.

Funding agency:

- DST, New Delhi INT/RUS/RFBR/P-341

Available from: 2019-08-15 Created: 2019-08-15 Last updated: 2019-08-22Bibliographically approvedOpen this publication in new window or tab >>Iterative Gradient Descent Methods for Solving Linear Equations### Shestopalov, Yury

### Samokhin, Alexander

### Samokhina, Anna

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_some",{id:"formSmash:j_idt184:4:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_otherAuthors",{id:"formSmash:j_idt184:4:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Computational Mathematics and Mathematical Physics, ISSN 0965-5425, E-ISSN 1555-6662, Vol. 59, no 8, p. 1267-1274Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

systems of linear algebraic equations, gradient descent, iterative methods
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-30718 (URN)10.1134/S0965542519080141 (DOI)
#####

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Available from: 2019-10-03 Created: 2019-10-03 Last updated: 2019-10-04Bibliographically approved

Russian Technological University MIREA, Moscow, 119454 Russia.

Russian Technological University MIREA, Moscow, 119454 Russia.

Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia.

The paper presents the results on the use of gradient descent algorithms for constructing iterative methods for solving linear equations. A mathematically rigorous substantiation of the conver- gence of iterations to the solution of the equations is given. Numerical results demonstrating the effi- ciency of the modified iterative gradient descent method are presented.

Open this publication in new window or tab >>Justification of mathematical imaging technique for the permittivity determination of layered dielectrics in a waveguide### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_some",{id:"formSmash:j_idt184:5:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_otherAuthors",{id:"formSmash:j_idt184:5:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, p. 0143-0146Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

Permittivity, Frequency measurement, Permittivity measurement, Noise measurement, Imaging, Dielectrics, Inverse problems, inverse scattering, waveguide, layer, dielectric
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-30886 (URN)10.1109/ICEAA.2019.8879417 (DOI)2-s2.0-85074948304 (Scopus ID)978-1-7281-0563-5 (ISBN)
##### Conference

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 9-13 September 2019, Granada, Spain
#####

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Available from: 2019-11-05 Created: 2019-11-05 Last updated: 2019-11-25Bibliographically approved

An introduction to mathematical imaging technique for solving inverse scattering problems is given. Applications are considered to inverse waveguide problems of recontructing permittivity of layered dielectric inclusions. The solution is justified of the inverse microwave imaging by establishing one-to-one correspondence between the sought quantities and the measured noisy data.

Open this publication in new window or tab >>Mathematical methods for inverse waveguide problems### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Aboltins, A

### Litvinenko, A

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_some",{id:"formSmash:j_idt184:6:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_otherAuthors",{id:"formSmash:j_idt184:6:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 IEEE Microwave Theory and Techniques in Wireless Communications (MTTW). Proceedings, 2019Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

mathematical methods; inverse waveguide problems; permittivity reconstruction; measured noisy data; layered dielectric inclusions
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-31293 (URN)978-1-7281-4473-3 (ISBN)
##### Conference

2019 IEEE Microwave Theory and Techniques in Wireless Communications (MTTW)
#####

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Available from: 2019-12-13 Created: 2019-12-13 Last updated: 2019-12-13Bibliographically approved

An introduction is given to mathematical methods for inverse waveguide problems. Applications are considered to the solution of the inverse waveguide problems of reconstructing permittivity of layered dielectric inclusions. It is shown that the existence and uniqueness can be justified by establishing one-to-one correspondence between the sought quantities and the measured noisy data.

Open this publication in new window or tab >>Mechanically tunable coupled resonator waveguide bandpass filter### Kimsis, Karlis

### Semenjako, Janis

### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_some",{id:"formSmash:j_idt184:7:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_otherAuthors",{id:"formSmash:j_idt184:7:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 IEEE Microwave Theory and Techniques in Wireless Communications (MTTW), 2019, Vol. 1, p. 52-56Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

band-pass filters, rectangular waveguides, resonator filters, waveguide filters, coupled resonator topology, resonator geometry, rectangular waveguide cavity, dielectric cylinder, conventional cylindrical resonators, resonating frequency, mechanically tunable coupled resonator waveguide bandpass filter design, 3D simulation software CST studio suite, constant passband frequencies, Microwave filters, tunable filters, coupled resonator filters
##### National Category

Physical Sciences
##### Identifiers

urn:nbn:se:hig:diva-31174 (URN)10.1109/MTTW.2019.8897240 (DOI)2-s2.0-85075640411 (Scopus ID)
##### Conference

2019 IEEE Microwave Theory and Techniques in Wireless Communications (MTTW), Riga, Latvia, 1-2 October 2019
#####

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Available from: 2019-12-03 Created: 2019-12-03 Last updated: 2019-12-13Bibliographically approved

Riga Technical University.

Riga Technical University.

This paper proposes a novel mechanically tunable waveguide filter design, based on a coupled resonator topology. The resonator geometry consists of a rectangular waveguide cavity and a dielectric cylinder. Unlike conventional cylindrical resonators which are made out of a single part, here the cylinders are cut in half. By changing the distance between these two parts, the resonating frequency of the resonator can be changed, which allows for a tunable filter design. A filter using the proposed geometry has a large tuning bandwidth as well as relatively constant passband frequencies. The performance of the proposed filter is demonstrated by evaluating the filter using 3D simulation software CST Studio Suite.

Open this publication in new window or tab >>New Propagation Regimes of TE Waves in a Waveguide filled with a Nonlinear Dielectric Metamaterial### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Smolkin, Eugene

### Snegur, Maxim

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_some",{id:"formSmash:j_idt184:8:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_otherAuthors",{id:"formSmash:j_idt184:8:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 URSI Asia-Pacific Radio Science Conference (AP-RASC), New Dehli: IEEE, 2019, article id 8738241Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

New Dehli: IEEE, 2019
##### Keywords

dielectric waveguides, differential equations, eigenvalues and eigenfunctions, electromagnetic wave propagation, optical metamaterials, optical waveguides, new propagation regimes, TE waves, nonlinear dielectric metamaterial, circular metal-dielectric waveguide, nonlinear metamaterial medium, Kerr nonlinearity, nonlinear transmission eigenvalue problem, ordinary differential equation, eigenvalues, problem correspond, propagation constants, auxiliary Cauchy problem, Electromagnetic waveguides, Dielectrics, Permittivity, Metamaterials, Electromagnetics, Electromagnetic scattering
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering Mathematics
##### Identifiers

urn:nbn:se:hig:diva-30555 (URN)10.23919/URSIAP-RASC.2019.8738241 (DOI)000491262700095 ()2-s2.0-85068617892 (Scopus ID)978-908-25987-5-9 (ISBN)978-908-25987-4-2 (ISBN)978-1-5386-8551-8 (ISBN)
##### Conference

URSI AP-RASC 2019, 09 - 15 March 2019, New Delhi, India
#####

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Available from: 2019-08-22 Created: 2019-08-22 Last updated: 2019-11-25Bibliographically approved

Department of Mathematics and Supercomputing, Penza State University, Penza, Russia.

Department of Mathematics and Supercomputing, Penza State University, Penza, Russi.

We consider propagation of surface TE waves in a circular metal-dielectric waveguide filled with nonlinear (Kerr nonlinearity) metamaterial medium. Analysis is reduced to solving a nonlinear transmission eigenvalue problem for an ordinary differential equation; eigenvalues of the problem correspond to propagation constants of the waveguide. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.

Open this publication in new window or tab >>Numerical study of nonlinear metamaterial rod### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Smolkin, Eugene

### Snegur, Maxim

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_some",{id:"formSmash:j_idt184:9:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_otherAuthors",{id:"formSmash:j_idt184:9:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, p. 0162-0164Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

Surface waves, Eigenvalues and eigenfunctions, Metamaterials, Optical surface waves, Optical waveguide theory, nonlinear metamaterial rod, Kerr nonlinearity, surface wave, leaky wave, numerical method
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-30883 (URN)10.1109/ICEAA.2019.8879337 (DOI)2-s2.0-85074917401 (Scopus ID)978-1-7281-0563-5 (ISBN)
##### Conference

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 9-13 September 2019, Granada, Spain
#####

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Available from: 2019-11-05 Created: 2019-11-05 Last updated: 2019-11-25Bibliographically approved

Penɀa State University, Penza, Russia.

Penɀa State University, Penza, Russia.

We consider propagation of leaky and surface TE waves in the rod filled with nonlinear metamaterial medium. The physical setting is reduced to a transmission eigenvalue problem for an ordinary differential equation. The eigenvalues of the problem are the wave propagation constants. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.