An_Th_Solutions

An_Th_Solutions - Introduction to Antenna Theory. Solutions...

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Unformatted text preview: Introduction to Antenna Theory. Solutions Compilation. Jerzy Piotrowski Miguel A. Palacios July 15, 2003 2 Contents 1 Introduction. Fundamentals and Principles of Analysis. 7 2 Antenna Parameters. 27 3 Linear Wire Antennas. 43 4 Loop Antennas. 51 5 Arrays. 57 3 4 CONTENTS List of Figures 1.1 Electric and magnetic fields when the former is directed along ~u and the decrease in 1/r is neglected. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.2 Real and imaginary parts of the vector phasor, showing the ellipse traced by the instantaneous field. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.3 Sources for Task 1.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 Far field dependance (on angle ) for Task 1.8 . . . . . . . . . . . . . . . . . . . . 15 1.5 Sources for Task 1.10 (a), with image sources of electric sources (b) and of mag- netic sources (c) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.6 Task 1.10.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.7 Task 1.10.d . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.8 Aperture illuminated by constant fields: Task 1.11 . . . . . . . . . . . . . . . . . . 20 1.9 Solutions of Task 1.11.a for two different apertures . . . . . . . . . . . . . . . . . 21 1.10 Task 1.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.11 Task 1.12 (a), and solution step by step (b-e) . . . . . . . . . . . . . . . . . . . . . 24 1.12 (a) Half-wavelength slot whose input impedance has to be computed; (b) comple- mentary dipole, with Z c = 73 + j 42 . 5 ; (c) magnetic field pattern for the half- wavelength slot; (d) electric field pattern for the complementary dipole . . . . . . . 25 2.1 Source distribution for (a) Task 2.1 and (b) Task 2.2 . . . . . . . . . . . . . . . . . 29 2.2 Detail of conducting wire for (a) low and (b) high frequencies . . . . . . . . . . . 35 2.3 Transmit and receive antennas for Task 2.6(d) . . . . . . . . . . . . . . . . . . . . 36 2.4 Equivalent circuit for transmit and receive antennas in Task 2.6.d . . . . . . . . . . 37 2.5 Receiving antenna and waveguide for Task 2.7. . . . . . . . . . . . . . . . . . . . 39 2.6 Incoming signal and noise from antenna . . . . . . . . . . . . . . . . . . . . . . . 40 2.7 Output of waveguide, without noise from receiver . . . . . . . . . . . . . . . . . . 41 2.8 Output of waveguide, including noise from receiver . . . . . . . . . . . . . . . . . 41 3.1 Task 3.1: Comparison between radiation patterns for a dipole slightly longer than , both when the current distribution is assumed to be real, and when the finite feed gap is accounted for . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.2 Task 3.2: (a) arrangement of the infinitesimal electric dipole over conducting plane; (b) equivalent image problem . . . . . . . . . . . . . . . . . . . . . . . . . 47plane; (b) equivalent image problem ....
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An_Th_Solutions - Introduction to Antenna Theory. Solutions...

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