On an Application of the Hypothesis for the Identity of the L2(c, ρ, n)and(L)2((c),(ρ),(n))Numbers
The theory of waveguides is pointed out as a field of application of the mathematical hypothesis,asserting that the finite real positive numbers L2(c,ρ,n)and(L)2((c),(p),(n)),advanced through some positive purely imaginary,resp.real zeros in x,resp.in (x) of a special function,con structed by two complex (Φ)(a,c; x)and (Φ)((a),(c); (ρx)),resp.real Φ(a,c; x)and Φ(a,c; px)Kummer,and two complex Ψ(a,c; x)and Ψ(a,c; ρx),resp.real Ψ(a,c; a;)and Ψ(a,c; pi)Tricomi confluent hypergeometric ones of appropriately picked out parameters and variable,are identical,provided it is fulfilled: c = c,ρ = p and n = n,(a — complex; a,c,c,x,ρ and p — real; ρ and p — positive,less than unity; x — positive purely imaginary; n — natural and n — positive integer; n and n — numbers of the zeros).It is indicated that the truthfulness of statement formulated entails the coincidence in case c = c = 3 of certain(envelope)curves in the phase diagrams of the normal TE0n and of the one of the two possible slow(TE0n)modes — the TE0(1)n wave(n =(n))in the coaxial waveguide with ferrite,magnetized azimuthally in negative(clockwise)direction of equations,written in terms of the quantities L2(c,ρ,n),resp.(L)2((c),(p),(n)).The curves mentioned restrict the areas of propagation of the first(second)mode from the side of higher(lower)frequencies.Besides,the physical sense ascribed to parameter ρ((ρ))is a relative thickness of the central conductor of the structure and to n((n))— an order of the propagating mode.
Mariana Nikolova Georgieva-Grosse Georgi Nikolov Georgiev
Consulting and Researcher in Physics and Computer Sciences,D-70839 Gerlingen,Germany Faculty of Mathematics and Informatics University of Veliko Tirnovo St.St.Cyril and Methodius,BG-5
国际会议
Progress in Electromagnetics Research Symposium 2014(2014年电磁学研究新进展学术研讨会)
广州
英文
1739-1744
2014-08-01（万方平台首次上网日期，不代表论文的发表时间）