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Electromagnetic Waves and Antennas combined - Chapter 6

Multilayer Structures Chuyển cao chức năng của các loại Eq. (5.7.2) có thể đạt được các bậc reflectionless rộng hơn và được sử dụng trong thiết kế của lớp phủ chống phản xạ mỏng phim, gương lưỡng cực điện, và các bộ lọc giao thoa quang học [615-677,737-770], và trong thiết kế của chấm dứt băng thông rộng của đường dây truyền tải 805 -815]. Họ cũng được sử dụng vào việc phân tích, tổng hợp, và mô phỏng các sợi cách tử Bragg [771-791], trong việc thiết kế các bộ lọc truyền dữ liệu băng hẹp cho ghép kênh. | 6 Multilayer Structures Higher-order transfer functions of the type of Eq. 5.7.2 can achieve broader reflectionless notches and are used in the design of thin-film antireflection coatings dielectric mirrors and optical interference filters 615-677 737-770 and in the design of broadband terminations of transmission lines 805-815 . They are also used in the analysis synthesis and simulation of fiber Bragg gratings 771-791 in the design of narrow-band transmission filters for wavelength-division multiplexing WDM and in other fiber-optic signal processing systems 801-804 . They are used routinely in making acoustic tube models for the analysis and synthesis of speech with the layer recursions being mathematically equivalent to the Levinson lattice recursions of linear prediction 816-822 . The layer recursions are also used in speech recognition disguised as the Schur algorithm. They also find application in geophysical deconvolution and inverse scattering problems for oil exploration 823-832 . The layer recursions known as the Schur recursions in this context are intimately connected to the mathematical theory of lossless bounded real functions in the z-plane and positive real functions in the s-plane and find application in network analysis synthesis and stability 836-850 . 6.1 Multiple Dielectric Slabs The general case of arbitrary number of dielectric slabs of arbitrary thicknesses is shown in Fig. 6.1.1. There are M slabs M 1 interfaces and M 2 dielectric media including the left and right semi-infinite media ria and r . The incident and reflected fields are considered at the left of each interface. The overall reflection response Fl E1- E1 can be obtained recursively in a variety of ways such as by the propagation matrices the propagation of the impedances at the interfaces or the propagation of the reflection responses. The elementary reflection coefficients pi from the left of each interface are defined in terms of the characteristic impedances or refractive .