Conformal Array Antenna Theory and Design
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This is the first comprehensive treatment of conformal antenna arrays from an engineering perspective. While providing a thorough foundation in theory, the authors of this publication provide a wealth of hands-on instruction for practical analysis and design of conformal antenna arrays. Thus, you get the knowledge you need, alongside the practical know-how to design antennas that are integrated into such structures aircrafts or skyscrapers.
CONFORMAL ARRAY ANTENNA THEORY AND DESIGN Lars Josefsson Chalmers University of Technology, Sweden Patrik Persson Royal Institute of Technology, Sweden IEEE Antennas and Propagation Society, Sponsor IEEE Press A WILEY-INTERSCIENCE PUBLICATION CONFORMAL ARRAY ANTENNA THEORY AND DESIGN IEEE Press 445 Hoes Lane Piscataway, NJ 08854 IEEE Press Editorial Board Mohamed E. El-Hawary, Editor in Chief M. Akay J. B. Anderson R. J. Baker J. E. Brewer T. G. Croda R.J. Herrick S. V. Kartalopoulos M.
Hussar and Smith-Rowland 2003]. The work by Hussar is similar to the work by Munk. Thus, despite the efforts presented above, there is still no satisfactory asymptotic solution for coated (convex) surfaces. Maybe a modified or completely different approach is needed! 4.5 TWO EXAMPLES Alternative approaches based on impedance boundary conditions (IBC) have been studied in the past, especially in connection with the theory of radio wave propagation around the earth; see, for example, [Wait
)2vЈ + (⌫ 222 – 2⌫ 112)uЈ(vЈ )2 – ⌫122(vЈ )3 ෆG ෆෆ –ෆ F2ෆ + uЈvЈЈ – uЈЈvЈ ] ͙E (5.7) where the root is taken to be positive and the gamma functions are the Christoffel symbols [Struik 1988, pp. 107–108], depending only on the coefficients of the first fundamental form and their first derivatives. 5.1.2 The Geodesic Equation As mentioned earlier, the details of the derivation of the geodesic equation are beyond the scope of this book. But, by using the defined parameters above, a schematic
such as those shown in Table 5.3. Geodesics between A and B on the GPOR can be drawn both in the clockwise (negative direction) and the counterclockwise (positive direction) directions. Besides, in each direction there can be higher-order geodesics (multiple encircling surface ray paths) in addition to the primary geodesics. The analysis presented here is valid for all geodesics on the surface, but we focus on different orders of geodesics in the positive direction. The general expression
radiation pattern can be obtained directly once the aperture field is found with or without the effect of mutual coupling. An important observation is that the IE is referred to the curved aperture plane, as discussed in Section 4.5.2. However, the waveguide modes used in the IE formulation are valid for a planar surface in a cross section of the waveguide; see Figure 4.14. This gap is often disregarded; however, we have taken it into account by adding a phase correction to the aperture field at