By Fan Yang
This accomplished, applications-oriented survey of the state-of-the paintings in Electromagnetic Band hole (EBG) engineering explains the speculation, research, and layout of EBG constructions. It enables you to comprehend EBG functions in antenna engineering via an abundance of novel antenna suggestions, a wealth of useful examples, and entire layout info. you find a personalized FDTD approach to EBG research, for which exact and effective electromagnetic software program is equipped (www.cambridge.org/9780521889919) to supply you with a robust computational engine on your EBG designs. the 1st e-book protecting EBG constructions and their antenna functions, this gives a dynamic source for engineers, and researchers and graduate scholars operating in antennas, electromagnetics and microwaves.
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Additional resources for Electromagnetic Band Gap Structures in Antenna Engineering (The Cambridge RF and Microwave Engineering Series)
To demonstrate the basic principle, let’s consider a TM wave obliquely incident from free space to a uniaxial medium, as shown in Fig. 3. The permittivity and permeability of the uniaxial medium are deﬁned in tensor forms as below: a 0 0 c 0 0 ¯ = µ0 0 d 0 . 17) 2 2 + k1y = ω2 ε0 µ0 . 18) E 2 = − xˆ ωεa ωεb 2 2 k2y k2x + = ω2 ε0 µ0 . bd ad Here, and τ are reﬂection and transmission coefﬁcients. Applying the boundary conditions on the interface, we obtain: 1+ = τ k2x k1x τ (1 − ) = ωε0 ωεb k1y = k2y .
The reason is that the patch size is much smaller than the wavelength at the frequency of interest. Thus, the difference in the wavenumbers between the x direction and the diagonal direction is too small to be observed. 4 Plane wave scattering analysis Periodic structures also ﬁnd many applications in the design of various scatterers and antenna arrays. For example, frequency selective surfaces (FSS) consisting of periodic dipoles or slots are used as radomes for large antenna systems . Planar reﬂectarray antennas, which are built from hundreds or thousands of antenna elements arranged in a periodic lattice, are installed in spacecraft for Earth remote sensing and deep space exploration programs .
For a thin grounded dielectric slab, only TM0 mode exists within the interested frequency region (0–10 GHz), and the eigen-frequency at a given propagation constant (wavenumber) is slightly lower than the light line. Similar observation is found for the periodic patch loaded structure at the lower frequency region. When the frequency increases, a noticeable deviation is observed between the dispersion curves of the periodic structure and the dispersion curve of the grounded slab. 4 Plane wave scattering analysis 37 10 8 Freq.