Pub Date : 2018-07-01DOI: 10.1109/mmet.2018.8460377
D. Kuryliak
The wave diffraction from the hollow finite and truncated perfectly conducting (rigid., soft) conical scatterers is considered. It is supposed that conical surfaces have zero thickness. The diffraction problems are formulated in the spherical coordinate system as the boundary value problems for the Helmholtz equation with respect to the scattered scalar potentials. The diffracted field is given by expansion in the series of eigenfunctions for subregions formed by the scatterers. Due to enforcement of the conditions of continuity together with the orthogonality properties of the Legendre functions the diffraction problems are reduced to infinite system of linear algebraic equations (i.s.l.a.e.). Usage of the analytical regularization approach transforms i.s.l.a.e. to the second kind and allows to justify the truncation method for obtaining numerical solution in the required class of sequences. These systems are proved to be regulated by a couple of operators, which consist of the convolution type operator and the corresponding inverted one. The elements of the inverted operator can be found analytically using the factorization technique.
{"title":"Some Diffraction Problems Involving Conical Geometries and their Rigorous Analysis","authors":"D. Kuryliak","doi":"10.1109/mmet.2018.8460377","DOIUrl":"https://doi.org/10.1109/mmet.2018.8460377","url":null,"abstract":"The wave diffraction from the hollow finite and truncated perfectly conducting (rigid., soft) conical scatterers is considered. It is supposed that conical surfaces have zero thickness. The diffraction problems are formulated in the spherical coordinate system as the boundary value problems for the Helmholtz equation with respect to the scattered scalar potentials. The diffracted field is given by expansion in the series of eigenfunctions for subregions formed by the scatterers. Due to enforcement of the conditions of continuity together with the orthogonality properties of the Legendre functions the diffraction problems are reduced to infinite system of linear algebraic equations (i.s.l.a.e.). Usage of the analytical regularization approach transforms i.s.l.a.e. to the second kind and allows to justify the truncation method for obtaining numerical solution in the required class of sequences. These systems are proved to be regulated by a couple of operators, which consist of the convolution type operator and the corresponding inverted one. The elements of the inverted operator can be found analytically using the factorization technique.","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":"130848423","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.2018.8460308
{"title":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory [copyright notice]","authors":"","doi":"10.1109/mmet.2018.8460308","DOIUrl":"https://doi.org/10.1109/mmet.2018.8460308","url":null,"abstract":"","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"34 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":"122155784","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.2018.8460370
Y. Averyanova, A. Rudiakova, F. Yanovsky
This paper considers the possibility of the radar polarimetry to estimate the impact of drop oscillation onto the reflected radar signal to improve information about drop shape parameters. The mathematical modeling, as well as computer simulation performed in the presented paper, demonstrate and prove the fact that it is possible to fix the contribution of drop oscillation and shape deformation into the received signal by selection of polarization angle of the receiving antenna. The results of the study can be used to improve information on rainfall or water liquid content measurements.
{"title":"Drop Oscillation Estimate with Multi-polarization Radar","authors":"Y. Averyanova, A. Rudiakova, F. Yanovsky","doi":"10.1109/MMET.2018.8460370","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460370","url":null,"abstract":"This paper considers the possibility of the radar polarimetry to estimate the impact of drop oscillation onto the reflected radar signal to improve information about drop shape parameters. The mathematical modeling, as well as computer simulation performed in the presented paper, demonstrate and prove the fact that it is possible to fix the contribution of drop oscillation and shape deformation into the received signal by selection of polarization angle of the receiving antenna. The results of the study can be used to improve information on rainfall or water liquid content measurements.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"47 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":"124315365","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.2018.8460316
M. Antyufeyeva, D. Batrakov, A. Batrakova, Alexandr V. Antyufeyev
In this paper, a comparative analysis of various approaches to the formulation and solution of inverse scattering problems is given. Problems for sensing with the aid of electromagnetic fields are considered. The informative parameters can be both the frequency of a monochromatic electromagnetic wave and the parameters characterizing its polarization state, and also the angle of the wave incidence for plane-layered media. The main attention is given to the comparative analysis of two methods - the Goldfarb method and the genetic algorithm. For carrying out computational experiments, a software is developed that allows to choose a method and thereby optimize the rate of convergence of the iterative process. The results of computational experiments are presented.
{"title":"Comparative Study of the Goldfarb Iterative and the Genetic Algorithm Methods for Solving Inverse Problems","authors":"M. Antyufeyeva, D. Batrakov, A. Batrakova, Alexandr V. Antyufeyev","doi":"10.1109/MMET.2018.8460316","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460316","url":null,"abstract":"In this paper, a comparative analysis of various approaches to the formulation and solution of inverse scattering problems is given. Problems for sensing with the aid of electromagnetic fields are considered. The informative parameters can be both the frequency of a monochromatic electromagnetic wave and the parameters characterizing its polarization state, and also the angle of the wave incidence for plane-layered media. The main attention is given to the comparative analysis of two methods - the Goldfarb method and the genetic algorithm. For carrying out computational experiments, a software is developed that allows to choose a method and thereby optimize the rate of convergence of the iterative process. The results of computational experiments are presented.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"22 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":"117184690","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.2018.8460285
Mykola Ponomarenko, K. Egiazarian, V. Lukin, V. Abramova
Structural similarity index (SSIM) is a widely used full-reference metric for assessment of visual quality of images and remote sensing data. It is calculated in a block-wise manner and is based on multiplication of three components: similarity of means of image blocks, similarity of contrasts and a correlation factor. In this paper, two modifications of SSIM are proposed. First, a fourth multiplicative component is introduced to SSIM (thus obtaining SSIM4) that describes a similarity of predictability of image blocks. A predictability for a given block is calculated as a minimal value of mean square error between the considered block and the neighboring blocks. Second, a simple scheme for calculating the metrics SSIM and SSIM4 for color images is proposed and optimized. Effectiveness of the proposed modifications is confirmed for the specialized image databases TID2013, LIVE, and FLT. In particular, the Spearman rank order correlation coefficient (SROCC) for the recently introduced FLT Database, calculated between the proposed metric color SSIM4 and mean opinion scores (MOS), has reached the value 0.85 (the best result for all compared metrics) whilst for SSIM it is equal to 0.58.
{"title":"Structural Similarity Index with Predictability of Image Blocks","authors":"Mykola Ponomarenko, K. Egiazarian, V. Lukin, V. Abramova","doi":"10.1109/MMET.2018.8460285","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460285","url":null,"abstract":"Structural similarity index (SSIM) is a widely used full-reference metric for assessment of visual quality of images and remote sensing data. It is calculated in a block-wise manner and is based on multiplication of three components: similarity of means of image blocks, similarity of contrasts and a correlation factor. In this paper, two modifications of SSIM are proposed. First, a fourth multiplicative component is introduced to SSIM (thus obtaining SSIM4) that describes a similarity of predictability of image blocks. A predictability for a given block is calculated as a minimal value of mean square error between the considered block and the neighboring blocks. Second, a simple scheme for calculating the metrics SSIM and SSIM4 for color images is proposed and optimized. Effectiveness of the proposed modifications is confirmed for the specialized image databases TID2013, LIVE, and FLT. In particular, the Spearman rank order correlation coefficient (SROCC) for the recently introduced FLT Database, calculated between the proposed metric color SSIM4 and mean opinion scores (MOS), has reached the value 0.85 (the best result for all compared metrics) whilst for SSIM it is equal to 0.58.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"24 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":"123578547","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.2018.8460290
G. P. Zouros
In this work modal analysis of optomagnonic resonators composed by magnetic garnet spheres is presented. The linearly and partial circularly polarized whispering-gallery-modes (WGMs) appearing in magneto-optical (MO) coupling, are theoretically verified, and rigorous mode designation is attributed to them. To carry out the study, a volume integral equation method is employed which supports anisotropic permittivities. The method is particularly tuned for addressing high mode order resonances. To this end, the volume integral equation is supplmemented by an asymptotic vectorial basis, enabling the accurate computation of high order eigenbasis required to solve the problem.
{"title":"Modal Analysis of Optomagnonic Resonators (Invited paper)","authors":"G. P. Zouros","doi":"10.1109/MMET.2018.8460290","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460290","url":null,"abstract":"In this work modal analysis of optomagnonic resonators composed by magnetic garnet spheres is presented. The linearly and partial circularly polarized whispering-gallery-modes (WGMs) appearing in magneto-optical (MO) coupling, are theoretically verified, and rigorous mode designation is attributed to them. To carry out the study, a volume integral equation method is employed which supports anisotropic permittivities. The method is particularly tuned for addressing high mode order resonances. To this end, the volume integral equation is supplmemented by an asymptotic vectorial basis, enabling the accurate computation of high order eigenbasis required to solve the problem.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"66 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":"121527844","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.2018.8460253
G. Kolezas, G. P. Zouros, J. Roumeliotis
In this work we investigate the electromagnetic scattering by a prolate anisotropic spheroid. We develop an asymptotic method where, for small values of spheroid's eccentricity, the latter is treated as a perturbation of the respective anisotropic sphere. Spherical vector wave functions (SVWFs) with discrete wavenumbers are used for the expansion of the fields in the region of anisotropy. Satisfying the boundary conditions at the perturbed spheroidal surface, we finally obtain a simple algebraic expression for the bistatic radar cross section (RCS), valid for small eccentricities. Comparisons of the developed method with HFSS are performed, and numerical results are given for RCS computations.
{"title":"Asymptotic Solution to the Scattering By Anisotropic Spheroids","authors":"G. Kolezas, G. P. Zouros, J. Roumeliotis","doi":"10.1109/MMET.2018.8460253","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460253","url":null,"abstract":"In this work we investigate the electromagnetic scattering by a prolate anisotropic spheroid. We develop an asymptotic method where, for small values of spheroid's eccentricity, the latter is treated as a perturbation of the respective anisotropic sphere. Spherical vector wave functions (SVWFs) with discrete wavenumbers are used for the expansion of the fields in the region of anisotropy. Satisfying the boundary conditions at the perturbed spheroidal surface, we finally obtain a simple algebraic expression for the bistatic radar cross section (RCS), valid for small eccentricities. Comparisons of the developed method with HFSS are performed, and numerical results are given for RCS computations.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"36 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":"114517724","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.2018.8460295
A. Puzanov, A. Kuleshov, Y. Kovshov, S. Ponomarenko
The presented paper is a continuation of the original authors' approach for a determination of a resistance of the torch discharge (Rd) extended by an inductance L of the discharge. The formula for calculation of Rd using the measurement data obtained at two frequencies is proposed.
{"title":"Torch Discharge Active Resistance Determination Considering Its Equivalent Inductance","authors":"A. Puzanov, A. Kuleshov, Y. Kovshov, S. Ponomarenko","doi":"10.1109/MMET.2018.8460295","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460295","url":null,"abstract":"The presented paper is a continuation of the original authors' approach for a determination of a resistance of the torch discharge (Rd) extended by an inductance L of the discharge. The formula for calculation of Rd using the measurement data obtained at two frequencies is proposed.","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":"121496840","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.2018.8460268
A. Rudiakova, A. Lipinskii, F. Yanovsky
The paper presents the model of polarimetric weather radar with acousto-optic signal processing module. The dual-polarization FMCW radar operation is considered with range-bins processing using the two-axis acousto-optic deflector. This approach allows to greatly simplify an input analog-to-digital processing stage of the dual-polarimetric radar due to the natural properties of acousto-optic apparatus dealing with linear frequency modulated (LFM) signals.
{"title":"Optoelectronic Aided Polarimetric Weather Radar Signal Processing","authors":"A. Rudiakova, A. Lipinskii, F. Yanovsky","doi":"10.1109/MMET.2018.8460268","DOIUrl":"https://doi.org/10.1109/MMET.2018.8460268","url":null,"abstract":"The paper presents the model of polarimetric weather radar with acousto-optic signal processing module. The dual-polarization FMCW radar operation is considered with range-bins processing using the two-axis acousto-optic deflector. This approach allows to greatly simplify an input analog-to-digital processing stage of the dual-polarimetric radar due to the natural properties of acousto-optic apparatus dealing with linear frequency modulated (LFM) signals.","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":"132368801","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.2018.8460447
S. Grinchenko
NeQuick model is used in particular in solving problems of radio wave propagation in ionosphere. It allows of calculation of the altitude profiles of electron density above any point of the globe in a wide range of altitudes at any time. The makers of NeQuick model use analytical formulas for the description of the separate E, F1, and F2 layers in constructing of the electron density profile for the whole altitude region. The formula parameters use previously calculated values of electron density and height of the layer peaks. But the insufficient correctness of algorithmization results in some inaccuracies of construction of total profile of electron density in heights of E and F1 regions. For example, there are time discontinuities of daily variations of electron density at the moments corresponding to appearance or disappearance of layer F1. The E and F1 layers practically do not manifest themselves on figures of the electron density profiles. In addition, the previously calculated F1-layer peaks do not lie on the electron density profiles. By means of the algorithm of construction of electron density profile developed by the author of this paper it is possible to describe correctly an altitude profile of electron density on its geometrical parameters of E, F1, and F2 regions. The corrected altitude profiles would change continuously with local time.
{"title":"Some Inexactnesses of the European NeQuick Model and Possible Ways of their Correction","authors":"S. Grinchenko","doi":"10.1109/mmet.2018.8460447","DOIUrl":"https://doi.org/10.1109/mmet.2018.8460447","url":null,"abstract":"NeQuick model is used in particular in solving problems of radio wave propagation in ionosphere. It allows of calculation of the altitude profiles of electron density above any point of the globe in a wide range of altitudes at any time. The makers of NeQuick model use analytical formulas for the description of the separate E, F1, and F2 layers in constructing of the electron density profile for the whole altitude region. The formula parameters use previously calculated values of electron density and height of the layer peaks. But the insufficient correctness of algorithmization results in some inaccuracies of construction of total profile of electron density in heights of E and F1 regions. For example, there are time discontinuities of daily variations of electron density at the moments corresponding to appearance or disappearance of layer F1. The E and F1 layers practically do not manifest themselves on figures of the electron density profiles. In addition, the previously calculated F1-layer peaks do not lie on the electron density profiles. By means of the algorithm of construction of electron density profile developed by the author of this paper it is possible to describe correctly an altitude profile of electron density on its geometrical parameters of E, F1, and F2 regions. The corrected altitude profiles would change continuously with local time.","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":"133251633","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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