Chapt7

Chapt7 - EEE 443 Antennas for Wireless Communications by...

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1 Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular EEE 443 Antennas for Wireless Communications by Constantine A. Balanis Lecture #23 Copyright©2005 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Arrays II. Non-uniform A. Binomial B. Dolph-Tschebyscheff C. Schelkunoff Polynomial (7.3) D. Fourier Transform (7.4) F. Woodward-Lawson (7.5) C. Taylor (Chapter 7) 1. Line-source (Tschebyscheff Error: 7.6) 2. Line-source (One-parameter: 7.7) G. Others (Triangular, Cosine, Cosine-square, Cosine On-a-pedestal, . . . ) Copyright©2005 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Synthesis 1. Continuous Sources 2. Discrete (Arrays) Sources Copyright©2005 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Antenna Synthesis And Continuous Sources 1. Schelkunoff polynomial method 2. Fourier transform method 3. Woodward-Lawson method 4. Taylor line-source (Tschebyscheff-Error) 5. Taylor line-source (One-Parameter) 6. Triangular, cosine, and cosine-square Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Continuous Source Fig. 7.1a Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Discrete Source Fig. 7.1b
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2 Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Geometrical Arrangement for Loop Antenna Analysis Fig. 5.2b Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Circular Array R n r for phase f co or ampli s tude n n n n n r r r a R r R R ψ ≈− Δ Fig. 16.50 Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular sin 2 sin 2 ˆ () o o I kz e z I Iz a ⎡⎤ ⎛⎞ ⎜⎟ ⎢⎥ ⎝⎠ ⎣⎦ + ′ = A A 2 / 0 A + z 0 2 / z A Ideal Current Distribution (4-56) Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular /2 λ = A Fig. 1.16b Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular << A Fig. 1.16c N =9 Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Discrete Source: Array Factor (1 ) (c o s ) 1 N jn k d n n AF a e θβ −+ = = Continuous Source: Space Factor [] 'cos ( ') (' ) ' n jk z z n SF I z e dz θφ + = A A (7-1) (7-2)
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3 Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular Linear Dipole: element /2 'cos space factor factor (' ) ' sin 4 jk jkr z e I ze d z ke Ej r θ ηθ π + + ⎡⎤ = ⎢⎥ ⎣⎦ A A ±²²³ ² ² ±²²²²³ ´ ²²²²´ Pattern Multiplication (Continuous Source): Total Field = Element Factor ⎛⎞ ⎜⎟ ⎝⎠ x Factor Space (4-58a) (4-59) Copyright©2007 by Constantine A. Balanis All rights reserved Chapter 6 Arrays: Linear, Planar, & Circular sin 2 sin 2 ˆ () o o I kz e z I Iz a + ′ =
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This note was uploaded on 11/01/2009 for the course EEE 443 taught by Professor Balanis during the Spring '08 term at ASU.

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Chapt7 - EEE 443 Antennas for Wireless Communications by...

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