Log-periodic antenna: Difference between revisions

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In general terms, at any given frequency the log-periodic design operates somewhat similar to a three-element Yagi antenna; the dipole element closest to resonant at the operating frequency acts as a driven element, with the two adjacent elements on either side as director and reflector to increase the gain, the shorter element in front acting as a director and the longer element behind as a reflector. However, the system is somewhat more complex than that, and all the elements contribute to some degree, so the gain for any given frequency is higher than a Yagi of the same dimensions as any one section of the log-periodic. However, it should also be noted that a Yagi with the same number of elements as a log-periodic would have ''far'' higher gain, as all of those elements are improving the gain of a single driven element. In its use as a television antenna, it was common to combine a log-periodic design for VHF with a Yagi for UHF, with both halves being roughly equal in size. This resulted in much higher gain for UHF, typically on the order of 10 to 14&nbsp;dB on the Yagi side and 6.5&nbsp;dB for the log-periodic.<ref>{{cite book |url=https://books.google.ca/books?id=jDCs1Ckne_EC&pg=PA177 |page=178 |title= Computational Electromagnetics for RF and Microwave Engineering |first=David |last=Davidson |publisher=Cambridge University Press |date=2010}}</ref> But this extra gain was needed anyway in order to make up for a number of problems with [[UHF television broadcasting#UHF vs VHF|UHF signals]].
 
It should be strictly noted that the log-periodic shape, according to the IEEE definition,<ref>“''Log-periodic antenna'' Any one of a class of antennas having a structural geometry such that its impedance and radiation characteristics repeat periodically as the logarithm of frequency.” (see ''The new IEEE Standard Dictionary of Electrical and Electronics Terms'', 1993 ⓒ IEEE.) </ref><ref>“''Log-periodic antenna'' Any one of a class of antennas having a structural geometry such that its impedance and radiation characteristics repeat periodically as the logarithm of frequency.” (see Acknowledgments, and footnote in page 1), ''Self-Complementary Antennas―Principle of Self-Complementarity for Constant Impedance''―, by Y. Mushiake, Springer-Verlag London Ltd., London, 1996</ref> does not providealign with broadband property for antennas.<ref>Y. Mushiake, “Constant-impedance antennas", ''J. IECE Japan'', 48, 4, pp. 580-584, April 1965. (in Japanese)</ref><ref>{{cite web|url=http://www.sm.rim.or.jp/~ymushiak/sub.non-const.htm|title=Y. Mushiake, &#39;’’ Log-periodic structure provides no broad-band property for antennas."&#39; ''J. IEE Japan'', 69, 3, p. 88, March 1949. |publisher=Sm.rim.or.jp |accessdate=15 January 2014}}</ref> The broadband property of log-periodic antennas comes from its [[self-similarity]]. A planar log-periodic antenna can also be made [[self-complementary antenna|self-complementary]], such as logarithmic [[spiral antenna]]s (which are not classified as log-periodic ''per se'' but among the [[frequency independent antennas]] that are also self-similar) or the log-periodic toothed design. Y. Mushiake found, for what he termed "the simplest self-complementary planar antenna," a driving point impedance of [[Impedance of free space|η<sub>0</sub>]]/2=188.4&nbsp;Ω at frequencies well within its bandwidth limits.<ref>{{cite web|url=http://www.sm.rim.or.jp/~ymushiak/sub.docu.1.htm##%% |title=Y. Mushiake, &#39;’’Origination of self-complementary structure and discovery of its constant-impedance property.&#39; ''J. IEE Japan'', 69, 3, p. 88, March 1949. (in Japanese) |publisher=Sm.rim.or.jp |accessdate=31 January 2014}}</ref><ref>{{cite web|url=http://www.sm.rim.or.jp/~ymushiak/sub.sca.htm|title=Y. Mushiake, &#39;’’ Infinite freedom."&#39; |publisher=Sm.rim.or.jp |accessdate=15 January 2014}}</ref><ref name="Rumsey Frequency">V. H. Rumsey, ''Frequency independent antennas'', Academic Press, New York and London. 1966. [p. 55]</ref>
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