Explanation Given data: The elements of the array factor a 0 = 1 and a 1 = 1 . The phase of excitation for antenna ψ is 0 . Calculation: The expression for the array factor F a ( θ ) is given by, F a ( θ ) = | ∑ i = 0 1 a i e j ψ i e j i 2 π d cos θ λ | 2 Here, a i is the constant. d is the distance between the elements. λ is the wavelength. ψ i is the phase angle. θ is the angle of direction of radiation. Substitute 1 for a 0 , 1 for a 1 and 0 for ψ 0 and ψ 1 in the above equation. F a ( θ ) = | 1 e j 0 e j 0 + 1 e j 0 e j 2 π d cos θ λ | 2 = | 1 + e j 2 π d cos θ λ | 2 = ( 1 + e j 2 π d cos θ λ ) (

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ISBN: 8220100663659

Author: ULABY

Publisher: PEARSON

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Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so o…

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Chapter 9, Problem 40P

To determine

The ratio dλ such that the array factor has a null at θ=45°.

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Chapter 9, Problem 39P

Chapter 9, Problem 41P

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Ch. 9.3 - How does the radiation pattern of a half-wave...Ch. 9.3 - How does the radiation efficiency of a...Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - At 100 MHz, the pattern solid angle of an antenna...Ch. 9.6 - If the operating frequency of the communication...Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9.8 - Verify that Eq. (9.86) is a solution of Eq. (9.85)...Ch. 9.8 - Prob. 12E Ch. 9.8 - What condition must be satisfied in order to use...Ch. 9.8 - Derive an expression for the array factor of a...Ch. 9.8 - Prob. 15E Ch. 9.11 - Prob. 11CQ Ch. 9.11 - Prob. 12CQ Ch. 9.11 - Prob. 13CQ Ch. 9.11 - Prob. 14CQ Ch. 9.11 - Prob. 15CQ Ch. 9 - A center-fed Hertzian dipole is excited by a...Ch. 9 - A 50 cm long center-fed dipole directed along the...Ch. 9 - Prob. 3P Ch. 9 - Determine the following: (a) The direction of...Ch. 9 - Repeat Problem 9.4 for an antenna with...Ch. 9 - A 2 m long center-fed dipole antenna operates in...Ch. 9 - Repeat Problem 9.6 for a 20 cm long antenna...Ch. 9 - Prob. 9P Ch. 9 - An antenna with a radiation efficiency of 90% has...Ch. 9 - Prob. 11P Ch. 9 - The normalized radiation intensity of a certain...Ch. 9 - Repeat Problem 9.6 for a 1 m long half-wave dipole...Ch. 9 - Prob. 14P Ch. 9 - A 50 cm long dipole is excited by a sinusoidally...Ch. 9 - Prob. 16P Ch. 9 - For a dipole antenna of length l = 3/2, (a)...Ch. 9 - Prob. 18P Ch. 9 - Prob. 19P Ch. 9 - Prob. 20P Ch. 9 - A car antenna is a vertical monopole over a...Ch. 9 - Determine the effective area of a half-wave dipole...Ch. 9 - A 3 GHz line-of-sight microwave communication link...Ch. 9 - A half-wave dipole TV broadcast antenna transmits...Ch. 9 - A 150 MHz communication link consists of two...Ch. 9 - Consider the communication system shown in Fig....Ch. 9 - The configuration shown in Fig. P9.27 depicts two...Ch. 9 - Prob. 28P Ch. 9 - The configuration shown in Fig. P9.29 depicts a...Ch. 9 - Prob. 30P Ch. 9 - Prob. 31P Ch. 9 - A uniformly illuminated rectangular aperture...Ch. 9 - An antenna with a circular aperture has a circular...Ch. 9 - Prob. 34P Ch. 9 - Prob. 35P Ch. 9 - Prob. 36P Ch. 9 - Prob. 37P Ch. 9 - Prob. 38P Ch. 9 - Prob. 39P Ch. 9 - Prob. 40P Ch. 9 - Find and plot the normalized array factor and...Ch. 9 - Prob. 44P Ch. 9 - A three-element linear array of isotropic sources...Ch. 9 - An eight-element linear array with /2 spacing is...Ch. 9 - A linear array arranged along the z axis consists...

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