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Shestopalov, Yury

Open this publication in new window or tab >>A General Approach to the Analysis of Complex Waves### 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 URSI International Symposium on Electromagnetic Theory (EMTS), 2019, p. 1-2Conference paper, Published paper (Refereed)
##### Abstract [en]

##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-31338 (URN)10.23919/URSI-EMTS.2019.8931512 (DOI)2-s2.0-85077954457 (Scopus ID)978-1-946815-06-4 (ISBN)
##### Conference

2019 URSI International Symposium on Electromagnetic Theory (EMTS)
#####

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Available from: 2019-12-19 Created: 2019-12-19 Last updated: 2020-01-27Bibliographically approved

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

We propose a technique for the search and calculation of complex waves in open and shielded circularly symmetric metal-dielectric waveguides with piecewise homogeneous filling by proving the existence and determination of the location of roots of the corresponding dispersion equations in the complex domain. The approach develops the method employing generalized cylindrical polynomials applied earlier to the rigorous analysis and determination of real waves.

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_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), 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 >>Alternative concept of monitoring and optimization water flooding of oil reservoirs in the conditions of instability of the displacement front### Shakhverdiev, A. K.

### Shestopalov, Yury

### Mandrik, I. E.

### Arefiev, S. V.

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 (Russian)In: Neftânoe hozâjstvo, ISSN 0028-2448, Vol. 2019, no 12, p. 118-123Article in journal (Refereed) Published
##### Abstract [en]

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

Neftyanoe Khozyaistvo, 2019
##### Keywords

Discriminant analysis, Filtration of multiphase fluids, Flooding system, Growth models, Regulation of well operation modes
##### National Category

Mechanical Engineering Earth and Related Environmental Sciences
##### Identifiers

urn:nbn:se:hig:diva-31402 (URN)10.24887/0028-2448-2019-12-118-123 (DOI)2-s2.0-85077384442 (Scopus ID)
#####

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Available from: 2020-01-13 Created: 2020-01-13 Last updated: 2020-01-13Bibliographically approved

Sergo Ordzhonikidze Russian State Geological Prospecting University, Moscow.

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

Lukoil.

Lukoil.

It has always been an urgent issue for the oil and gas industry to improve oil, gas, and condensate recovery at liquid and gaseous hydrocarbon fields developed with the use of artificial formation pressure maintenance techniques that involve injection of water or water combined with other displacement agents. Therefore, due to the aforesaid issues, permanent attention should still be paid to the practical problem of optimizing the non-stationary hydrodynamic pressure applied to a reservoir by regulating the operating conditions of the production and injection wells, development process optimization in general, and water flooding in particular. The theory of Buckley and Leverett, does not take into account the loss of stability of the displacement front, which provokes a stepwise change and the triple value of water saturation. Traditionally a mathematically simplified approach was proposed-a repeatedly differentiable approximation to eliminate the “jump” in water saturation. Such a simplified solution led to negative consequences well-known from the water flooding practice, recognized by experts as “viscous instability of the displacement front” and “fractal geometry of displacement front”. The core of the issue is an attempt to predict the beginning of the stability loss of the front of oil displacement by water and to prevent its negative consequences on the water flooding process under difficult conditions of interaction of hydro-thermodynamics, capillary, molecular, inertial, and gravitational forces. In this study, catastrophe theory methods applied for the analysis of nonlinear polynomial dynamical systems are used as a novel approach. Namely, a mathematical growth model is developed and an inverse problem is formulated so that the initial coefficients of the system of differential equations for a two-phase flow can be deter mined using this model. A unified control parameter has been selected, which enables one to propose and validate a discriminant criterion for oil and water growth models for monitoring and optimizing.

Open this publication in new window or tab >>Alternative conception of the monitoring and optimization of water flooding of oil reservoirs under instability of displacement front### Shestopalov, Yury

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

### Mandrik, I.E.

### Arefiev, S.V.

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}); 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}); 2019 (Russian)In: Oil industry (Neftyanoye khozyaystvo), ISSN 0028-2448, no 12, p. 118-123Article in journal (Refereed) Published
##### Abstract [en]

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

Moscow: , 2019
##### Keywords

Filtration of multi-phase fluids, water-flooding system, monitoring of oil well exploitation, growth models, discriminant analysis
##### National Category

Other Natural Sciences
##### Identifiers

urn:nbn:se:hig:diva-31339 (URN)
#####

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Available from: 2019-12-19 Created: 2019-12-19 Last updated: 2019-12-19Bibliographically approved

S. Ordzhonikidze Russian State Geological Prospecting University, Moscow, Russia.

LUKOIL, PJSC, Moscow, Russia.

LUKOIL, Western Siberia, Kogalym, Russia.

The theory of Buckley and Leverett does not take into account the loss of stability of the displacement front whch provokes a stepwise change and the triple value of water saturation. Traditionally a mathematically simplified approach was proposed: a differentiable approximation to eliminate the ' jump' in water saturation. Such a simplified solution led to negative consequences well-know from the water flooding practice, recognized by experts as 'viscous instability of the displacement front' and 'fractal geometry of the displacement front'.The core of the issue is to attempt to predict the beginning of the stability loss of the front of oil displacement by water and to prevent its negative effect on the water flooding process under difficult conditions of interaction of hydro-thermodynamic, capillary, molecular, inertial, and gravitational forces. In this study, catastrophe theory methods applied for the analysis of nonlinear polynomial dynamical systems are used as a novel approach. namely, a mathematical growth model is developed and an inverse problem is formulated so that the initial coefficients of the system of differential equations for a two-phase flow can be determined using this model. A unified control parameter has been selected which enables one to propose and validate a discriminant criterion for oil and water growth models for monitoring and optimization.

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

### Shestopalov, Yury

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

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: 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.

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

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: 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.

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_6_j_idt188_some",{id:"formSmash:j_idt184:6:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_some",multiple:true}); ### Lagovsky, Boris

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}); Show others...PrimeFaces.cw("SelectBooleanButton","widget_formSmash_j_idt184_6_j_idt188_j_idt202",{id:"formSmash:j_idt184:6:j_idt188:j_idt202",widgetVar:"widget_formSmash_j_idt184_6_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_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: 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_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 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_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 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.