By Abdullah Eroglu
As know-how matures, conversation approach operation areas shift from mic- wave and millimeter levels to sub-millimeter levels. in spite of the fact that, gadget perf- mance at very excessive frequencies suffers significantly from the fabric de?ciencies. therefore, engineers and scientists are relentlessly in look for the hot varieties of fabrics, and composites so as to meet the gadget functionality requisites and never current any de?ciencies because of fabric electric and magnetic houses. Anisotropic and gyrotropic fabrics are the category of the fabrics that are extremely important within the improvement excessive functionality microwave units and new forms composite layered constructions. for this reason, it's a have to comprehend the wave propagation and radiation features of those fabrics in order to detect them in perform. This booklet is meant to supply engineers and scientists the mandatory ability set to layout excessive frequency units utilizing anisotropic, and gyrotropic fabrics by means of delivering them the theoretical historical past that's combined with the genuine international engineering program examples. it's the author’s desire that this ebook may help to ?ll the space within the region of utilized electromagnetics for the layout of microwave and millimeter wave units utilizing new different types of fabrics. each one bankruptcy within the e-book is designed to provide the idea ?rst at the topic and solidify it with software examples given within the final bankruptcy. the appliance examples for the radiation difficulties are given on the finish of Chap. five and Chap. 6 for anisotropic and gyrotropic fabrics, respectively, after the speculation section.
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Extra resources for Wave Propagation and Radiation in Gyrotropic and Anisotropic Media
Example text
The attenuation Àk2 is small just beyond cut-off but large just beyond resonance. 1. 95c) where As seen from the above relations, if C ¼ 0 and either A 6¼ 0 or B 6¼ 0, at least one root of the equation is zero. This represents then the cut-off condition. As C is independent of y, the cut-off condition does not depend on the direction of propagation. Similarly, A ¼ 0 represents the resonance condition. 96) In contrast to cut-off condition, resonance condition depends on y. 58) have always real values.
31) can be used to obtain the wave surfaces for ordinary and extraordinary waves for negatively and positively uniaxially anisotropic media. The wave surface for negatively uniaxial medium is illustrated in Fig. 3 whereas the wave surface for positively uniaxial medium is illustrated in Fig. 4. a Ordinary Wave Surface b k0 e33 k0 e11 Extraordinary Wave Surface Fig. 3 Wave surface for negatively unaxial medium, e33 < e11 . (a) 3D plot ordinary wave and extraordinary wave surfaces (b) 2D plot of wave normal surfaces 22 a 2 Wave Propagation and Dispersion Characteristics in Anisotropic Medium b Extraordinary Wave Surface k0 e33 k0 e11 Ordinary Wave Surface Fig.
47) using two different methods. 3 Dispersion Relations and Wave Matrices 37 dispersion relation in terms of the angle y which is the angle between the wave vector k^ which represents the direction of the wave normal and the vector b^0 which represents the direction of the static magnetic field. The two roots kI and kII represent the wave numbers for the type I and the type II waves. Then, we give the solutions for the wave numbers kI and kII in term of y. In the second method, we represent the dispersion relation in terms of kzI and kzII which represent the wave numbers in the z-direction and then give the solutions for the wave numbers kzI and kzII in terms kr which is the transverse component of the wave vector.