2.1. An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4 sides, 2 of which are parallel to each other) on the surface of a sphere of radius r. The angular space of the patch on the surface of the sphere extends between z/6 <0SR/3(30°sos 60°) in latitude and R/4 soSa/3(45° sos 60°) in longitude. Find the following: (a) Equivalent beam solid angle [which is equal to number of square radians/steradians or (degrees) ] of the patch [in square radians/steradians and in (degrees). • Exact. Approximate using = A0 A (0, - 0) (2-). Compare with the exact. (b) Corresponding antenna maximum directivities of part a (dimensionless and in dB). %3D

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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2.1. An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4
sides, 2 of which are parallel to each other) on the surface of a sphere of radius r. The angular
space of the patch on the surface of the sphere extends between z/6 <0 <R/3(30° SS
60°) in latitude and n/4 <0 Sa/3(45° < o < 60°) in longitude. Find the following:
(a) Equivalent beam solid angle [which is equal to number of square radians/steradians or
(degrees)'] of the patch [in square radians/steradians and in (degrees ).
• Exact.
• Approximate using 24 = AO AO = (02 – 0,) (2-). Compare with the exact.
(b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).
Transcribed Image Text:2.1. An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4 sides, 2 of which are parallel to each other) on the surface of a sphere of radius r. The angular space of the patch on the surface of the sphere extends between z/6 <0 <R/3(30° SS 60°) in latitude and n/4 <0 Sa/3(45° < o < 60°) in longitude. Find the following: (a) Equivalent beam solid angle [which is equal to number of square radians/steradians or (degrees)'] of the patch [in square radians/steradians and in (degrees ). • Exact. • Approximate using 24 = AO AO = (02 – 0,) (2-). Compare with the exact. (b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).
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