Modifications of the hybrid projection method for analysis of electromagnetic scattering by inhomogeneous bodies of revolution

2020 ◽  
Vol 37 (12) ◽  
pp. 1873
Author(s):  
Ekaterina I. Semernya ◽  
Sergei P. Skobelev
Keyword(s):  
Projection Method ◽  
Electromagnetic Scattering ◽  
Bodies Of Revolution ◽  
Hybrid Projection Method ◽  
Inhomogeneous Bodies

scholarly journals Анализ фокусировки волн в усеченной линзе Гутмана

2021 ◽  
Vol 47 (15) ◽  
pp. 47
Author(s):  
E.И. Семерня ◽  
С.П. Скобелев
Keyword(s):  
Electromagnetic Wave ◽  
Field Distribution ◽  
Projection Method ◽  
Wave Scattering ◽  
Focal Length ◽  
Plane Electromagnetic Wave ◽  
Bodies Of Revolution ◽  
Wave Focusing ◽  
Hybrid Projection Method ◽  
Inhomogeneous Bodies

The problem of scattering of a plane electromagnetic wave by a truncated axisymmetric Gutman lens including calculation of the field inside the lens is considered. The problem is solved numerically using the hybrid projection method developed earlier for the general case of wave scattering by inhomogeneous bodies of revolution. New results are presented that demonstrate the accuracy of the method, as well as the field distribution in the Gutman lens, which characterize the features of wave focusing depending on the lens size, focal length, and position of the truncation plane.

Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems

2019 ◽  
Vol 26 (1) ◽  
pp. 63-78
Author(s):  
Kaleem Raza Kazmi ◽  
Rehan Ali
Keyword(s):  
Banach Space ◽  
Projection Method ◽  
Nonexpansive Mappings ◽  
Fixed Point Problem ◽  
Solution Set ◽  
Common Element ◽  
Monotone Mappings ◽  
Point Problem ◽  
Existence Of A Solution ◽  
Hybrid Projection Method

Abstract The aim of this paper is to consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of a solution of these auxiliary problems. Further, we prove some properties of a solution set of generalized mixed variational-like inequality problems. Furthermore, we use a hybrid projection method to find a common element of a solution set of a system of unrelated generalized mixed variational-like inequality problems for generalized relaxed α-monotone mappings and the set of fixed points of a common fixed point problem for a family of generalized asymptotically quasi-ϕ-nonexpansive mappings in a reflexive, uniformly smooth and strictly convex Banach space.

On the hybrid projection method for fixed point and equilibrium problems

Top ◽  
2011 ◽  
Vol 21 (2) ◽  
pp. 341-354
Author(s):  
Xiaolong Qin ◽  
Sun Young Cho ◽  
Shin Min Kang ◽  
Feng Gu
Keyword(s):  
Fixed Point ◽  
Projection Method ◽  
Equilibrium Problems ◽  
Hybrid Projection Method
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