https://en.wikipedia.org/w/index.php?action=history&feed=atom&title=Distributed-element_circuitDistributed-element circuit - Revision history2025-06-09T08:46:39ZRevision history for this page on the wikiMediaWiki 1.45.0-wmf.4https://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1225197619&oldid=prevCatslash: Undid revision 1225173465 by Liz (talk) The image file still exists2024-05-22T23:23:34Z<p>Undid revision <a href="/wiki/Special:Diff/1225173465" title="Special:Diff/1225173465">1225173465</a> by <a href="/wiki/Special:Contributions/Liz" title="Special:Contributions/Liz">Liz</a> (<a href="/wiki/User_talk:Liz" title="User talk:Liz">talk</a>) The image file still exists</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits were studied during the 1920s and 1930s but did not become important until [[World War II]], when they were used in [[radar]]. After the war their use was limited to military, space, and [[broadcasting]] infrastructure, but improvements in [[materials science]] in the field soon led to broader applications. They can now be found in domestic products such as satellite dishes and mobile phones.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits were studied during the 1920s and 1930s but did not become important until [[World War II]], when they were used in [[radar]]. After the war their use was limited to military, space, and [[broadcasting]] infrastructure, but improvements in [[materials science]] in the field soon led to broader applications. They can now be found in domestic products such as satellite dishes and mobile phones.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><!-- Commented out: </del>[[File:Lumped-distributed comparison.png|thumb|upright=2|A [[low-pass filter]] as conventional discrete components connected on a [[printed circuit board]] (left), and as a distributed-element design printed on the board itself (right)]]<del style="font-weight: bold; text-decoration: none;"> --></del></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:Lumped-distributed comparison.png|thumb|upright=2|A [[low-pass filter]] as conventional discrete components connected on a [[printed circuit board]] (left), and as a distributed-element design printed on the board itself (right)]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Circuit modelling ==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Circuit modelling ==</div></td>
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</table>Catslashhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1225174637&oldid=prevPokechu22: Undid revision 1225173465 and 1225173581 by Liz (talk) - Huh? They both still on commons at c:File:Hilbert resonator.svg and c:File:Lumped-distributed comparison.png, it looks like you just removed the local copy for reasons that make sense for that but don't make sense for removing from the article2024-05-22T20:16:05Z<p>Undid revision <a href="/wiki/Special:Diff/1225173465" title="Special:Diff/1225173465">1225173465</a> and <a href="/wiki/Special:Diff/1225173581" title="Special:Diff/1225173581">1225173581</a> by <a href="/wiki/Special:Contributions/Liz" title="Special:Contributions/Liz">Liz</a> (<a href="/wiki/User_talk:Liz" title="User talk:Liz">talk</a>) - Huh? They both still on commons at <a href="https://commons.wikimedia.org/wiki/File:Hilbert_resonator.svg" class="extiw" title="c:File:Hilbert resonator.svg">c:File:Hilbert resonator.svg</a> and <a href="https://commons.wikimedia.org/wiki/File:Lumped-distributed_comparison.png" class="extiw" title="c:File:Lumped-distributed comparison.png">c:File:Lumped-distributed comparison.png</a>, it looks like you just removed the local copy for reasons that make sense for that but don't make sense for removing from the article</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Fractals ===</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{see also|Fractal antenna}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{see also|Fractal antenna}}</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><!-- Commented out: </del>[[file:Hilbert resonator.svg|thumb|upright|alt=diagram|Three-iteration Hilbert fractal resonator in microstrip<ref>Janković ''et al.'', p. 197</ref>]]<del style="font-weight: bold; text-decoration: none;"> --></del></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[file:Hilbert resonator.svg|thumb|upright|alt=diagram|Three-iteration Hilbert fractal resonator in microstrip<ref>Janković ''et al.'', p. 197</ref>]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The use of [[fractal]]-like curves as a circuit component is an emerging field in distributed-element circuits.<ref>Ramadan ''et al.'', p. 237</ref> Fractals have been used to make resonators for filters and antennae. One of the benefits of using fractals is their space-filling property, making them smaller than other designs.<ref>Janković ''et al.'', p. 191</ref> Other advantages include the ability to produce [[wide-band]] and [[Multi-band device|multi-band]] designs, good in-band performance, and good [[out-of-band]] rejection.<ref>Janković ''et al.'', pp. 191–192</ref> In practice, a true fractal cannot be made because at each [[Iterated function system|fractal iteration]] the manufacturing tolerances become tighter and are eventually greater than the construction method can achieve. However, after a small number of iterations, the performance is close to that of a true fractal. These may be called ''pre-fractals'' or ''finite-order fractals'' where it is necessary to distinguish from a true fractal.<ref>Janković ''et al.'', p. 196</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The use of [[fractal]]-like curves as a circuit component is an emerging field in distributed-element circuits.<ref>Ramadan ''et al.'', p. 237</ref> Fractals have been used to make resonators for filters and antennae. One of the benefits of using fractals is their space-filling property, making them smaller than other designs.<ref>Janković ''et al.'', p. 191</ref> Other advantages include the ability to produce [[wide-band]] and [[Multi-band device|multi-band]] designs, good in-band performance, and good [[out-of-band]] rejection.<ref>Janković ''et al.'', pp. 191–192</ref> In practice, a true fractal cannot be made because at each [[Iterated function system|fractal iteration]] the manufacturing tolerances become tighter and are eventually greater than the construction method can achieve. However, after a small number of iterations, the performance is close to that of a true fractal. These may be called ''pre-fractals'' or ''finite-order fractals'' where it is necessary to distinguish from a true fractal.<ref>Janković ''et al.'', p. 196</ref></div></td>
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</table>Pokechu22https://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1225173581&oldid=prevLiz: Commenting out use(s) of file "File:Hilbert resonator.svg": Removing usages of and/or links to deleted file File:Hilbert resonator.svg.2024-05-22T20:09:04Z<p>Commenting out use(s) of file "File:Hilbert resonator.svg": Removing usages of and/or links to deleted file File:Hilbert resonator.svg.</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Fractals ===</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{see also|Fractal antenna}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{see also|Fractal antenna}}</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[file:Hilbert resonator.svg|thumb|upright|alt=diagram|Three-iteration Hilbert fractal resonator in microstrip<ref>Janković ''et al.'', p. 197</ref>]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><!-- Commented out: </ins>[[file:Hilbert resonator.svg|thumb|upright|alt=diagram|Three-iteration Hilbert fractal resonator in microstrip<ref>Janković ''et al.'', p. 197</ref>]]<ins style="font-weight: bold; text-decoration: none;"> --></ins></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The use of [[fractal]]-like curves as a circuit component is an emerging field in distributed-element circuits.<ref>Ramadan ''et al.'', p. 237</ref> Fractals have been used to make resonators for filters and antennae. One of the benefits of using fractals is their space-filling property, making them smaller than other designs.<ref>Janković ''et al.'', p. 191</ref> Other advantages include the ability to produce [[wide-band]] and [[Multi-band device|multi-band]] designs, good in-band performance, and good [[out-of-band]] rejection.<ref>Janković ''et al.'', pp. 191–192</ref> In practice, a true fractal cannot be made because at each [[Iterated function system|fractal iteration]] the manufacturing tolerances become tighter and are eventually greater than the construction method can achieve. However, after a small number of iterations, the performance is close to that of a true fractal. These may be called ''pre-fractals'' or ''finite-order fractals'' where it is necessary to distinguish from a true fractal.<ref>Janković ''et al.'', p. 196</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The use of [[fractal]]-like curves as a circuit component is an emerging field in distributed-element circuits.<ref>Ramadan ''et al.'', p. 237</ref> Fractals have been used to make resonators for filters and antennae. One of the benefits of using fractals is their space-filling property, making them smaller than other designs.<ref>Janković ''et al.'', p. 191</ref> Other advantages include the ability to produce [[wide-band]] and [[Multi-band device|multi-band]] designs, good in-band performance, and good [[out-of-band]] rejection.<ref>Janković ''et al.'', pp. 191–192</ref> In practice, a true fractal cannot be made because at each [[Iterated function system|fractal iteration]] the manufacturing tolerances become tighter and are eventually greater than the construction method can achieve. However, after a small number of iterations, the performance is close to that of a true fractal. These may be called ''pre-fractals'' or ''finite-order fractals'' where it is necessary to distinguish from a true fractal.<ref>Janković ''et al.'', p. 196</ref></div></td>
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</table>Lizhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1225173465&oldid=prevLiz: Commenting out use(s) of file "File:Lumped-distributed comparison.png": Removing usages of and/or links to deleted file File:Lumped-distributed comparison.png.2024-05-22T20:08:13Z<p>Commenting out use(s) of file "File:Lumped-distributed comparison.png": Removing usages of and/or links to deleted file File:Lumped-distributed comparison.png.</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits were studied during the 1920s and 1930s but did not become important until [[World War II]], when they were used in [[radar]]. After the war their use was limited to military, space, and [[broadcasting]] infrastructure, but improvements in [[materials science]] in the field soon led to broader applications. They can now be found in domestic products such as satellite dishes and mobile phones.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits were studied during the 1920s and 1930s but did not become important until [[World War II]], when they were used in [[radar]]. After the war their use was limited to military, space, and [[broadcasting]] infrastructure, but improvements in [[materials science]] in the field soon led to broader applications. They can now be found in domestic products such as satellite dishes and mobile phones.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:Lumped-distributed comparison.png|thumb|upright=2|A [[low-pass filter]] as conventional discrete components connected on a [[printed circuit board]] (left), and as a distributed-element design printed on the board itself (right)]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><!-- Commented out: </ins>[[File:Lumped-distributed comparison.png|thumb|upright=2|A [[low-pass filter]] as conventional discrete components connected on a [[printed circuit board]] (left), and as a distributed-element design printed on the board itself (right)]]<ins style="font-weight: bold; text-decoration: none;"> --></ins></div></td>
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</table>Lizhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1060746637&oldid=prevSpinningspark: Reverted good faith edits by Alexander Davronov (talk): Already linked earlier2021-12-17T11:50:17Z<p>Reverted <a href="/wiki/Wikipedia:AGF" class="mw-redirect" title="Wikipedia:AGF">good faith</a> edits by <a href="/wiki/Special:Contributions/Alexander_Davronov" title="Special:Contributions/Alexander Davronov">Alexander Davronov</a> (<a href="/wiki/User_talk:Alexander_Davronov" title="User talk:Alexander Davronov">talk</a>): Already linked earlier</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits are cheap and easy to manufacture in some formats, but take up more space than <del style="font-weight: bold; text-decoration: none;">[[Lumped-element model|</del>lumped-element <del style="font-weight: bold; text-decoration: none;">circuit]]<nowiki/>s</del>. This is problematic in mobile devices (especially hand-held ones), where space is at a premium. If the operating frequencies are not too high, the designer may miniaturise components rather than switching to distributed elements. However, [[Parasitic element (electrical networks)|parasitic elements]] and resistive losses in lumped components are greater with increasing frequency as a proportion of the nominal value of the lumped-element impedance. In some cases, designers may choose a distributed-element design (even if lumped components are available at that frequency) to benefit from improved [[Q factor|quality]]. Distributed-element designs tend to have greater power-handling capability; with a lumped component, all the energy passed by a circuit is concentrated in a small volume.<ref>{{multiref|Doumanis ''et al.'', pp. 45–46|Nguyen, pp. 27–28}}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits are cheap and easy to manufacture in some formats, but take up more space than lumped-element <ins style="font-weight: bold; text-decoration: none;">circuits</ins>.<ins style="font-weight: bold; text-decoration: none;"> </ins> This is problematic in mobile devices (especially hand-held ones), where space is at a premium. If the operating frequencies are not too high, the designer may miniaturise components rather than switching to distributed elements. However, [[Parasitic element (electrical networks)|parasitic elements]] and resistive losses in lumped components are greater with increasing frequency as a proportion of the nominal value of the lumped-element impedance. In some cases, designers may choose a distributed-element design (even if lumped components are available at that frequency) to benefit from improved [[Q factor|quality]]. Distributed-element designs tend to have greater power-handling capability; with a lumped component, all the energy passed by a circuit is concentrated in a small volume.<ref>{{multiref|Doumanis ''et al.'', pp. 45–46|Nguyen, pp. 27–28}}</ref></div></td>
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</table>Spinningsparkhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1060736894&oldid=prevAlexander Davronov: /* Advantages and disadvantages */2021-12-17T10:07:37Z<p><span class="autocomment">Advantages and disadvantages</span></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits are cheap and easy to manufacture in some formats, but take up more space than lumped-element <del style="font-weight: bold; text-decoration: none;">circuits</del>.<del style="font-weight: bold; text-decoration: none;"> </del> This is problematic in mobile devices (especially hand-held ones), where space is at a premium. If the operating frequencies are not too high, the designer may miniaturise components rather than switching to distributed elements. However, [[Parasitic element (electrical networks)|parasitic elements]] and resistive losses in lumped components are greater with increasing frequency as a proportion of the nominal value of the lumped-element impedance. In some cases, designers may choose a distributed-element design (even if lumped components are available at that frequency) to benefit from improved [[Q factor|quality]]. Distributed-element designs tend to have greater power-handling capability; with a lumped component, all the energy passed by a circuit is concentrated in a small volume.<ref>{{multiref|Doumanis ''et al.'', pp. 45–46|Nguyen, pp. 27–28}}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Distributed-element circuits are cheap and easy to manufacture in some formats, but take up more space than <ins style="font-weight: bold; text-decoration: none;">[[Lumped-element model|</ins>lumped-element <ins style="font-weight: bold; text-decoration: none;">circuit]]<nowiki/>s</ins>. This is problematic in mobile devices (especially hand-held ones), where space is at a premium. If the operating frequencies are not too high, the designer may miniaturise components rather than switching to distributed elements. However, [[Parasitic element (electrical networks)|parasitic elements]] and resistive losses in lumped components are greater with increasing frequency as a proportion of the nominal value of the lumped-element impedance. In some cases, designers may choose a distributed-element design (even if lumped components are available at that frequency) to benefit from improved [[Q factor|quality]]. Distributed-element designs tend to have greater power-handling capability; with a lumped component, all the energy passed by a circuit is concentrated in a small volume.<ref>{{multiref|Doumanis ''et al.'', pp. 45–46|Nguyen, pp. 27–28}}</ref></div></td>
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</table>Alexander Davronovhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1035606273&oldid=prevSpinningspark: Undid revision 1032886323 by DesertPipeline (talk) revert unwanted change to ref system.2021-07-26T17:03:43Z<p>Undid revision 1032886323 by <a href="/wiki/Special:Contributions/DesertPipeline" title="Special:Contributions/DesertPipeline">DesertPipeline</a> (<a href="/wiki/User_talk:DesertPipeline" title="User talk:DesertPipeline">talk</a>) revert unwanted change to ref system.</p>
<a href="//en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1035606273&oldid=1032886323">Show changes</a>Spinningsparkhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1032886323&oldid=prevDesertPipeline: Replace {{Multiref}} with {{Multiref2}}. Remove {{Multiref}} from single-reference citations2021-07-10T07:35:53Z<p>Replace {{Multiref}} with {{Multiref2}}. Remove {{Multiref}} from single-reference citations</p>
<a href="//en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1032886323&oldid=1028441859">Show changes</a>DesertPipelinehttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1028441859&oldid=prevSrleffler: rv refspam2021-06-14T00:52:41Z<p>rv refspam</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=== Taper ===</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A taper is a transmission line with a gradual change in cross-section. It can be considered the limiting case of the stepped impedance structure with an infinite number of steps.<ref>Zhurbenko, p. 310</ref> Tapers are a simple way of joining two transmission lines of different characteristic impedances. Using tapers greatly reduces the mismatch effects that a direct join would cause. If the change in cross-section is not too great, no other matching circuitry may be needed.<ref>Garg ''et al.'', pp. 180–181</ref> Tapers can provide [[Planar transmission line#Transitions|transitions]] between lines in different media, especially different forms of planar media.<ref>{{multiref|Garg ''et al.'', pp. 404–406, 540|Edwards & Steer, p. 493}}</ref> Tapers commonly change shape linearly<del style="font-weight: bold; text-decoration: none;"><ref>Sangam and Kshetrimayum</ref></del>, but a variety of other profiles may be used. The profile that achieves a specified match in the shortest length is known as a Klopfenstein taper and is based on the [[Chebychev filter]] design.<ref>{{multiref|Zhurbenko, p. 311|Misra, p. 276|Lee, p. 100}}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A taper is a transmission line with a gradual change in cross-section. It can be considered the limiting case of the stepped impedance structure with an infinite number of steps.<ref>Zhurbenko, p. 310</ref> Tapers are a simple way of joining two transmission lines of different characteristic impedances. Using tapers greatly reduces the mismatch effects that a direct join would cause. If the change in cross-section is not too great, no other matching circuitry may be needed.<ref>Garg ''et al.'', pp. 180–181</ref> Tapers can provide [[Planar transmission line#Transitions|transitions]] between lines in different media, especially different forms of planar media.<ref>{{multiref|Garg ''et al.'', pp. 404–406, 540|Edwards & Steer, p. 493}}</ref> Tapers commonly change shape linearly, but a variety of other profiles may be used. The profile that achieves a specified match in the shortest length is known as a Klopfenstein taper and is based on the [[Chebychev filter]] design.<ref>{{multiref|Zhurbenko, p. 311|Misra, p. 276|Lee, p. 100}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Tapers can be used to match a transmission line to an antenna. In some designs, such as the [[horn antenna]] and [[Vivaldi antenna]], the taper is itself the antenna. Horn antennae, like other tapers, are often linear, but the best match is obtained with an exponential curve. The Vivaldi antenna is a flat (slot) version of the exponential taper.<ref>{{multiref|Bakshi & Bakshi|pp. 3-68–3-70|Milligan, p. 513}}</ref></div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Tapers can be used to match a transmission line to an antenna. In some designs, such as the [[horn antenna]] and [[Vivaldi antenna]], the taper is itself the antenna. Horn antennae, like other tapers, are often linear, but the best match is obtained with an exponential curve. The Vivaldi antenna is a flat (slot) version of the exponential taper.<ref>{{multiref|Bakshi & Bakshi|pp. 3-68–3-70|Milligan, p. 513}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Richtmeyer, R D, [https://doi.org/10.1063/1.1707320 "Dielectric resonators"], ''Journal of Applied Physics'', vol. 10, iss. 6, pp.&nbsp;391–397, June 1939.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Roer, T G, ''Microwave Electronic Devices'', Springer, 2012 {{ISBN|1461525004}}.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Roer, T G, ''Microwave Electronic Devices'', Springer, 2012 {{ISBN|1461525004}}.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*Sangam, R. S., Kshetrimayum, R. S. "Linear Tapers: Analysis, Design and Applications", in Proc. IEEE MTT-S International Microwave and RF Conference (IMaRC), Nov. 2018. [https://ieeexplore.ieee.org/document/8877280 10.1109/IMaRC.2018.8877280]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sharma, K K, ''Fundamental of Microwave and Radar Engineering'', S. Chand Publishing, 2011 {{ISBN|8121935377}}.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sharma, K K, ''Fundamental of Microwave and Radar Engineering'', S. Chand Publishing, 2011 {{ISBN|8121935377}}.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sheingold, L S; Morita, T, [https://ieeexplore.ieee.org/document/1124845/ "A coaxial magic-T"], ''Transactions of the IRE Professional Group on Microwave Theory and Techniques'', vol. 1, iss. 2, pp.&nbsp;17–23, November 1953.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sheingold, L S; Morita, T, [https://ieeexplore.ieee.org/document/1124845/ "A coaxial magic-T"], ''Transactions of the IRE Professional Group on Microwave Theory and Techniques'', vol. 1, iss. 2, pp.&nbsp;17–23, November 1953.</div></td>
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</table>Srlefflerhttps://en.wikipedia.org/w/index.php?title=Distributed-element_circuit&diff=1028295114&oldid=prevExcell strive: /* Bibliography */2021-06-13T03:22:53Z<p><span class="autocomment">Bibliography</span></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Richtmeyer, R D, [https://doi.org/10.1063/1.1707320 "Dielectric resonators"], ''Journal of Applied Physics'', vol. 10, iss. 6, pp.&nbsp;391–397, June 1939.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Richtmeyer, R D, [https://doi.org/10.1063/1.1707320 "Dielectric resonators"], ''Journal of Applied Physics'', vol. 10, iss. 6, pp.&nbsp;391–397, June 1939.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Roer, T G, ''Microwave Electronic Devices'', Springer, 2012 {{ISBN|1461525004}}.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Roer, T G, ''Microwave Electronic Devices'', Springer, 2012 {{ISBN|1461525004}}.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*Sangam, R. S., Kshetrimayum, R. S. "Linear Tapers: Analysis, Design and Applications", in Proc. IEEE MTT-S International Microwave and RF Conference (IMaRC), Nov. 2018. [https://ieeexplore.ieee.org/document/8877280 10.1109/IMaRC.2018.8877280]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sharma, K K, ''Fundamental of Microwave and Radar Engineering'', S. Chand Publishing, 2011 {{ISBN|8121935377}}.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sharma, K K, ''Fundamental of Microwave and Radar Engineering'', S. Chand Publishing, 2011 {{ISBN|8121935377}}.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sheingold, L S; Morita, T, [https://ieeexplore.ieee.org/document/1124845/ "A coaxial magic-T"], ''Transactions of the IRE Professional Group on Microwave Theory and Techniques'', vol. 1, iss. 2, pp.&nbsp;17–23, November 1953.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Sheingold, L S; Morita, T, [https://ieeexplore.ieee.org/document/1124845/ "A coaxial magic-T"], ''Transactions of the IRE Professional Group on Microwave Theory and Techniques'', vol. 1, iss. 2, pp.&nbsp;17–23, November 1953.</div></td>
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</table>Excell strive