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Extra resources for Behaviour of Electromagnetic Waves in Different Media and Structures
Ferrite cylinder of radius r and tensor permeability μ The ferrite cylinders are used in many microwave nonreciprocal devices such as circulators, isolators and phase shifters. The nonreciprocal properties can be controlled 34 Behaviour of Electromagnetic Waves in Different Media Will-be-set-by-IN-TECH and Structures 8 by the direction and value of bias magnetization ﬁeld. For the ferrite cylinder case the constitutive equations are expressed as follows: D = ε 0 ε f E, (9) B = μ0 μE, (10) We assume that tensor μ has the following dyadic form: μ = μ (iρ iρ + i ϕ i ϕ ) + jμ a (iρ i ϕ − i ϕ iρ ) + 1iz iz (11) γMs i with μ = 1 + δ2 −1 , μ a = δ2 −1 , δ = γH f , p = f , Hi denotes internal bias magnetic ﬁeld intensity, Ms saturated magnetization and γ gyromagnetic coefﬁcient of the ferrite.
2) due to the next conclusions: the wave number K sets length of a wave of the basic harmonic of a surface; the numbers N , M , D and q determine a degree of a surface calibration at the expense of imposing on the basic wave from additional harmonics, and N and M determine the number of harmonics, which are imposed; D determines amplitude of harmonics; q - both amplitude, and frequency of harmonics. Let's notice that with increase N , M , D and q the spatial uniformity of a surface on a large scale is increased also.
2006); Xu & Hong (2004) the relation between the ﬁelds in the inner and outer regions is found by calculating the currents on the interface between the regions. 28 2 Behaviour of Electromagnetic Waves in Different Media Will-be-set-by-IN-TECH and Structures The total scattered ﬁeld from a conﬁguration of objects is obtained from the time domain analysis where the steady state is calculated Xu & Hong (2004) or from the iterative scattering procedure in the case of frequency domain solution Sharkawy et al.