Recent Advances in the Theory of Coupled Nonlinear Guided Waves| Session Chairs: | Kazuya Kobayashi, Yury Shestopalov |
This session will cover recent achievements in the field of advanced mathematical techniques as applied to mathematical problems arising in all branches of electromagnetics. Topics of interest include, but are not limited to the following areas: electromagnetic theory; novel mathematical techniques; analytical regularization methods; canonical problems; numerical methods; scattering and diffraction; high-frequency techniques; guided waves; inverse problems; random media and rough surfaces; waves in complex media; time-domain techniques; nonlinear phenomena; computational electromagnetics.
13:40 B14.1 Recent Advances in the Theory of Coupled Nonlinear Guided Waves
D. V. Valovik, Y. G. Smirnov
Mathematics and Supercomputing, Penza State University, Penza, Russian Federation
14:00 B14.2 DISTRIBUTION OF ENERGY DENSITY BY DIELECTRIC WAVEGUIDES WITH AIR-HOLE LAYER COMPOSED OF DIELECTRIC CIRCULAR CYLINDER ARRAY
R. Ozaki, T. Yamasaki
College of Science and Technology, Nihon University, Tokyo, Japan
14:20 B14.3 MATHEMATICAL ASPECTS OF THE THEORY OF WAVE PROPAGATION IN METAL-DIELECTRIC WAVEGUIDES
Y. Shestopalov1, Y. Smirnov2, E. Kuzmina3
1Electronics, Mathematics and Natural Sciences, Gävle University, Gävle, Sweden
2Supercomputer Modeling, Penza State University, Penza, Russia
3Applied Mathematics, Moscow State Institute of Radioengineering,, Moscow, Russia
14:40 B14.4 THEOREM FOR THE RELATION BETWEEN THE L1(c,n) AND L2(c,p,n) NUMBERS
G. N. Georgiev1, M. N. Georgieva-Grosse2
1Faculty of Mathematics and Informatics, University of Veliko Tirnovo, Veliko Tirnovo, Bulgaria
2Consulting and Researcher in Physics and Computer Sciences, Gerlingen, Germany
15:00 B14.5 ANOMALOUS ABSORPTION USING HYPERBOLIC RADIAL ANISOTROPY
H. Wallén1, H. Kettunen2, A. Sihvola1
1Department of Radio Science and Engineering, Aalto University School of Electrical Engineering, Espoo, Finland
2Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
15:20 B14.6 ANALYTIC SOLUTION FOR THE REFLECTION OF CYLINDRICAL WAVE AT PLANAR INTERFACES
N. Tedeschi, F. Frezza
Department of Information Engineering, Electronics and Telecommunications, "La Sapienza" University of Rome, Rome, Italy