Cantor ring diffractals
We examine diffraction by a new class of Cantor ring diffractals (Cantor targets) based on a polyadic Cantor set described by several fractal descriptors including fractal dimension, lacunarity, number of gaps, and stage of growth. We find scaling properties characteristic of these diffractals and e...
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Veröffentlicht in: | Optics communications 1998-12, Vol.158 (1), p.141-148 |
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container_title | Optics communications |
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creator | Jaggard, Aaron D Jaggard, Dwight L |
description | We examine diffraction by a new class of
Cantor ring diffractals (Cantor targets) based on a polyadic Cantor set described by several fractal descriptors including fractal dimension, lacunarity, number of gaps, and stage of growth. We find scaling properties characteristic of these diffractals and examine their radiation patterns through the use of
twist plots. These twist plots can be used to find lacunarity “windows” where diffracted sidelobes are relatively low. We find that Cantor ring diffractals have distinctive
subfractal,
fractal and
superfractal diffraction regimes whose boundaries we predict from the diffractal geometry. |
doi_str_mv | 10.1016/S0030-4018(98)00550-1 |
format | Article |
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Cantor ring diffractals (Cantor targets) based on a polyadic Cantor set described by several fractal descriptors including fractal dimension, lacunarity, number of gaps, and stage of growth. We find scaling properties characteristic of these diffractals and examine their radiation patterns through the use of
twist plots. These twist plots can be used to find lacunarity “windows” where diffracted sidelobes are relatively low. We find that Cantor ring diffractals have distinctive
subfractal,
fractal and
superfractal diffraction regimes whose boundaries we predict from the diffractal geometry.</description><identifier>ISSN: 0030-4018</identifier><identifier>EISSN: 1873-0310</identifier><identifier>DOI: 10.1016/S0030-4018(98)00550-1</identifier><identifier>CODEN: OPCOB8</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Antenna ; Aperture ; Array ; Diffraction and scattering ; Exact sciences and technology ; Fractal ; Fundamental areas of phenomenology (including applications) ; Lacunarity ; Optics ; Physics ; Wave optics</subject><ispartof>Optics communications, 1998-12, Vol.158 (1), p.141-148</ispartof><rights>1998 Elsevier Science B.V.</rights><rights>1999 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c414t-628d023411536d6ca4088cca7b40da25c6d87a47a286e55a4851d59e39f40c9e3</citedby><cites>FETCH-LOGICAL-c414t-628d023411536d6ca4088cca7b40da25c6d87a47a286e55a4851d59e39f40c9e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0030401898005501$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,65309</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1631555$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Jaggard, Aaron D</creatorcontrib><creatorcontrib>Jaggard, Dwight L</creatorcontrib><title>Cantor ring diffractals</title><title>Optics communications</title><description>We examine diffraction by a new class of
Cantor ring diffractals (Cantor targets) based on a polyadic Cantor set described by several fractal descriptors including fractal dimension, lacunarity, number of gaps, and stage of growth. We find scaling properties characteristic of these diffractals and examine their radiation patterns through the use of
twist plots. These twist plots can be used to find lacunarity “windows” where diffracted sidelobes are relatively low. We find that Cantor ring diffractals have distinctive
subfractal,
fractal and
superfractal diffraction regimes whose boundaries we predict from the diffractal geometry.</description><subject>Antenna</subject><subject>Aperture</subject><subject>Array</subject><subject>Diffraction and scattering</subject><subject>Exact sciences and technology</subject><subject>Fractal</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Lacunarity</subject><subject>Optics</subject><subject>Physics</subject><subject>Wave optics</subject><issn>0030-4018</issn><issn>1873-0310</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><recordid>eNqFkL1LxEAUxBdR8DytrYQrRLSIvpf9yKYSCX7BgYVaL-vbjazkknM3J_jfm9wdWlpN85sZZhg7QbhEQHX1DMAhE4D6vNQXAFJChjtsgrrgGXCEXTb5RfbZQUofAICC6wk7rmzbd3EWQ_s-c6Guo6XeNumQ7dWD-KOtTtnr3e1L9ZDNn-4fq5t5RgJFn6lcO8i5QJRcOUVWgNZEtngT4GwuSTldWFHYXCsvpRVaopOl52UtgAadsrNN7jJ2nyuferMIiXzT2NZ3q2TyQigtSjmAcgNS7FKKvjbLGBY2fhsEM95g1jeYcaMptVnfYHDwnW4LbCLbDPtaCunPrDhKOcZfbzA_jP0KPppEwbfkXYieeuO68E_RD1K6bjc</recordid><startdate>19981215</startdate><enddate>19981215</enddate><creator>Jaggard, Aaron D</creator><creator>Jaggard, Dwight L</creator><general>Elsevier B.V</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>19981215</creationdate><title>Cantor ring diffractals</title><author>Jaggard, Aaron D ; Jaggard, Dwight L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c414t-628d023411536d6ca4088cca7b40da25c6d87a47a286e55a4851d59e39f40c9e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Antenna</topic><topic>Aperture</topic><topic>Array</topic><topic>Diffraction and scattering</topic><topic>Exact sciences and technology</topic><topic>Fractal</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Lacunarity</topic><topic>Optics</topic><topic>Physics</topic><topic>Wave optics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jaggard, Aaron D</creatorcontrib><creatorcontrib>Jaggard, Dwight L</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Optics communications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jaggard, Aaron D</au><au>Jaggard, Dwight L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cantor ring diffractals</atitle><jtitle>Optics communications</jtitle><date>1998-12-15</date><risdate>1998</risdate><volume>158</volume><issue>1</issue><spage>141</spage><epage>148</epage><pages>141-148</pages><issn>0030-4018</issn><eissn>1873-0310</eissn><coden>OPCOB8</coden><abstract>We examine diffraction by a new class of
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twist plots. These twist plots can be used to find lacunarity “windows” where diffracted sidelobes are relatively low. We find that Cantor ring diffractals have distinctive
subfractal,
fractal and
superfractal diffraction regimes whose boundaries we predict from the diffractal geometry.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0030-4018(98)00550-1</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Antenna Aperture Array Diffraction and scattering Exact sciences and technology Fractal Fundamental areas of phenomenology (including applications) Lacunarity Optics Physics Wave optics |
title | Cantor ring diffractals |
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