13.07.2015 Views

View File - University of Engineering and Technology, Taxila

View File - University of Engineering and Technology, Taxila

View File - University of Engineering and Technology, Taxila

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

FIGURE 2.13Geometry <strong>of</strong> a parabolic antenna (v ¼ vertex; f ¼ focus).tracing obeying Snell’s law <strong>of</strong> reflection. This means that rays emergingorthogonally (perpendicularly) to the plane-wave front will collimate atinfinity, thereby concentrating the radiation in the reflector axis direction.Conversely, when receiving, all the rays intercepted from a plane wave comingfrom the reflector axis direction will be collimated in the focus, where asuitably located primary radiator will be able to extract maximum energy fromthe incoming electromagnetic wave. As earlier discussed in terms <strong>of</strong> theprinciple <strong>of</strong> reciprocity, every antenna is a completely reciprocal device, whichbehaves in exactly the same way (gain, sidelobes, <strong>and</strong> polarization) in bothtransmission <strong>and</strong> reception modes.The gain <strong>and</strong> beamwidths <strong>of</strong> a paraboloidal antenna can be calculatedusing this formula:G ¼ 10 log Z pD l 2dBi ð2:45ÞThe paraboloidal antenna’s overall efficiency Z is typically within the range55% to 75%. For design purposes, the mean value is <strong>of</strong>ten taken.Alternatively, if the 3-dB azimuth <strong>and</strong> 3-dB elevation beamwidths areknown, the gain can be written asG ¼ 10 log 41250Zy e y adBi ð2:46Þwhere y a <strong>and</strong> y e correspond to the 3-dB azimuth beamwidth <strong>and</strong> 3-dBelevation beamwidth, respectively. Their units are in degrees. If a pencilCopyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!