Book contents
- Frontmatter
- Contents
- Preface
- Preface to first edition
- 1 Introduction
- 2 An approximate analysis of the cylindrical antenna
- 3 The two-element array
- 4 The circular array
- 5 The circuit and radiating properties of curtain arrays
- 6 Arrays with unequal elements: parasitic and log-periodic antennas
- 7 Planar and three-dimensional arrays
- 8 Vertical dipoles on and over the earth or sea
- 9 Dipoles parallel to the plane boundaries of layered regions; horizontal dipole over, on, and in the earth or sea
- 10 Application of the two-term theory to general arrays of parallel non-staggered elements
- 11 Resonances in large circular arrays of perfectly conducting dipoles
- 12 Resonances in large circular arrays of highly conducting dipoles
- 13 Direct numerical methods: a detailed discussion
- 14 Techniques and theory of measurements
- Appendix I Tables of Ψd R, T(m) or T′(m) and self-and mutual admittances for single elements and circular arrays
- Appendix II Tables of matrix elements Φu and Φυ for curtain arrays
- Appendix III Tables of admittance and impedance for curtain arrays
- References
- List of symbols
- Index
7 - Planar and three-dimensional arrays
Published online by Cambridge University Press: 07 August 2009
- Frontmatter
- Contents
- Preface
- Preface to first edition
- 1 Introduction
- 2 An approximate analysis of the cylindrical antenna
- 3 The two-element array
- 4 The circular array
- 5 The circuit and radiating properties of curtain arrays
- 6 Arrays with unequal elements: parasitic and log-periodic antennas
- 7 Planar and three-dimensional arrays
- 8 Vertical dipoles on and over the earth or sea
- 9 Dipoles parallel to the plane boundaries of layered regions; horizontal dipole over, on, and in the earth or sea
- 10 Application of the two-term theory to general arrays of parallel non-staggered elements
- 11 Resonances in large circular arrays of perfectly conducting dipoles
- 12 Resonances in large circular arrays of highly conducting dipoles
- 13 Direct numerical methods: a detailed discussion
- 14 Techniques and theory of measurements
- Appendix I Tables of Ψd R, T(m) or T′(m) and self-and mutual admittances for single elements and circular arrays
- Appendix II Tables of matrix elements Φu and Φυ for curtain arrays
- Appendix III Tables of admittance and impedance for curtain arrays
- References
- List of symbols
- Index
Summary
The study of dipole arrays in Chapters 3 through 6 has proceeded from simpler to more complicated configurations. In Chapters 3 and 4 all elements are physically alike and arranged to be parallel with their centers uniformly spaced around a circle so that when driven in suitable phase sequences all elements are geometrically and electrically identical. Chapter 5 is also concerned with parallel elements that are structurally alike, but they lie in a curtain with their centers along a straight line of finite length; consequently the electromagnetic environments of the several elements are not all the same. In Chapter 6 the requirement that the elements in a curtain array be equal in length is omitted and consideration is given first to arrays of elements that differ only moderately in length, then to arrays in which not only the lengths but also the radii of the elements and the distances between them vary widely. The lifting of each restriction introduces additional complications in the approximate representation of the currents on the elements by simple trigonometric functions and in the reduction of the integrals in the simultaneous integral equations to sums of such functions with suitably defined complex coefficients.
The final generalization, which is carried out in this chapter, is the omission of the requirement maintained throughout the book until this point, that all elements be non-staggered.
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- Cylindrical Antennas and Arrays , pp. 241 - 289Publisher: Cambridge University PressPrint publication year: 2002