Band-extended angular spectrum method for accurate diffraction calculation in a wide propagation range
The band-extended angular spectrum method (ASM) is proposed in this Letter for both near- and far-field diffraction calculation with high accuracy. Due to the aliasing problem of the transfer function (TF), the ASM is not suitable for far-field diffraction calculation. For band-limited ASM, the non-...
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Veröffentlicht in: | Optics letters 2020-03, Vol.45 (6), p.1543-1546 |
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description | The band-extended angular spectrum method (ASM) is proposed in this Letter for both near- and far-field diffraction calculation with high accuracy. Due to the aliasing problem of the transfer function (TF), the ASM is not suitable for far-field diffraction calculation. For band-limited ASM, the non-aliased bandwidth of the TF would shrink rapidly with the increase of the propagation distance, which would reduce the calculation accuracy in the far field. For the proposed band-extended ASM, the non-aliased bandwidth is significantly extended by rearranging the sampling points in the spatial frequency domain. Therefore, more frequency components of the TF contribute to the wave-field calculation, leading to a much wider propagation range and a higher computational accuracy. |
doi_str_mv | 10.1364/OL.385553 |
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Due to the aliasing problem of the transfer function (TF), the ASM is not suitable for far-field diffraction calculation. For band-limited ASM, the non-aliased bandwidth of the TF would shrink rapidly with the increase of the propagation distance, which would reduce the calculation accuracy in the far field. For the proposed band-extended ASM, the non-aliased bandwidth is significantly extended by rearranging the sampling points in the spatial frequency domain. Therefore, more frequency components of the TF contribute to the wave-field calculation, leading to a much wider propagation range and a higher computational accuracy.</description><identifier>ISSN: 0146-9592</identifier><identifier>EISSN: 1539-4794</identifier><identifier>DOI: 10.1364/OL.385553</identifier><identifier>PMID: 32164012</identifier><language>eng</language><publisher>United States: Optical Society of America</publisher><subject>Accuracy ; Aliasing ; Diffraction ; Far fields ; Mathematical analysis ; Propagation ; Spectrum allocation ; Transfer functions ; Wave propagation</subject><ispartof>Optics letters, 2020-03, Vol.45 (6), p.1543-1546</ispartof><rights>Copyright Optical Society of America Mar 15, 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c379t-8bf4af36291f84e577b7b61f0658fb0e3f3d2a6966fd4f5a89a8425063f252bf3</citedby><cites>FETCH-LOGICAL-c379t-8bf4af36291f84e577b7b61f0658fb0e3f3d2a6966fd4f5a89a8425063f252bf3</cites><orcidid>0000-0001-9786-5008 ; 0000-0002-9459-8685</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,3256,27923,27924</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/32164012$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Zhang, Wenhui</creatorcontrib><creatorcontrib>Zhang, Hao</creatorcontrib><creatorcontrib>Jin, Guofan</creatorcontrib><title>Band-extended angular spectrum method for accurate diffraction calculation in a wide propagation range</title><title>Optics letters</title><addtitle>Opt Lett</addtitle><description>The band-extended angular spectrum method (ASM) is proposed in this Letter for both near- and far-field diffraction calculation with high accuracy. 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Therefore, more frequency components of the TF contribute to the wave-field calculation, leading to a much wider propagation range and a higher computational accuracy.</description><subject>Accuracy</subject><subject>Aliasing</subject><subject>Diffraction</subject><subject>Far fields</subject><subject>Mathematical analysis</subject><subject>Propagation</subject><subject>Spectrum allocation</subject><subject>Transfer functions</subject><subject>Wave propagation</subject><issn>0146-9592</issn><issn>1539-4794</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpdkMtOwzAQRS0EoqWw4AeQJTawSLE9fiRLqHhJkbqBdeT4UVLlUexEwN8TCLBgNaPRmaurg9ApJUsKkl-t8yWkQgjYQ3MqIEu4yvg-mhPKZZKJjM3QUYxbQohUAIdoBoxKTiibI3-jW5u499611lms281Q64Djzpk-DA1uXP_SWey7gLUxQ9C9w7byPmjTV12Lja7N-PG9Vy3W-K2yDu9Ct9Ob6RrGTHeMDryuozv5mQv0fHf7tHpI8vX94-o6TwyorE_S0nPtQbKM-pQ7oVSpSkk9kSL1JXHgwTItMym95V7oNNMpZ4JI8Eyw0sMCXUy5Y4PXwcW-aKpoXF3r1nVDLBgoBZwTUCN6_g_ddkNox3YjlYJgjI3cAl1OlAldjMH5YheqRoePgpLiS36xzotJ_sie_SQOZePsH_lrGz4BPN9-1Q</recordid><startdate>20200315</startdate><enddate>20200315</enddate><creator>Zhang, Wenhui</creator><creator>Zhang, Hao</creator><creator>Jin, Guofan</creator><general>Optical Society of America</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0001-9786-5008</orcidid><orcidid>https://orcid.org/0000-0002-9459-8685</orcidid></search><sort><creationdate>20200315</creationdate><title>Band-extended angular spectrum method for accurate diffraction calculation in a wide propagation range</title><author>Zhang, Wenhui ; Zhang, Hao ; Jin, Guofan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c379t-8bf4af36291f84e577b7b61f0658fb0e3f3d2a6966fd4f5a89a8425063f252bf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Accuracy</topic><topic>Aliasing</topic><topic>Diffraction</topic><topic>Far fields</topic><topic>Mathematical analysis</topic><topic>Propagation</topic><topic>Spectrum allocation</topic><topic>Transfer functions</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Wenhui</creatorcontrib><creatorcontrib>Zhang, Hao</creatorcontrib><creatorcontrib>Jin, Guofan</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Optics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Wenhui</au><au>Zhang, Hao</au><au>Jin, Guofan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Band-extended angular spectrum method for accurate diffraction calculation in a wide propagation range</atitle><jtitle>Optics letters</jtitle><addtitle>Opt Lett</addtitle><date>2020-03-15</date><risdate>2020</risdate><volume>45</volume><issue>6</issue><spage>1543</spage><epage>1546</epage><pages>1543-1546</pages><issn>0146-9592</issn><eissn>1539-4794</eissn><abstract>The band-extended angular spectrum method (ASM) is proposed in this Letter for both near- and far-field diffraction calculation with high accuracy. Due to the aliasing problem of the transfer function (TF), the ASM is not suitable for far-field diffraction calculation. For band-limited ASM, the non-aliased bandwidth of the TF would shrink rapidly with the increase of the propagation distance, which would reduce the calculation accuracy in the far field. For the proposed band-extended ASM, the non-aliased bandwidth is significantly extended by rearranging the sampling points in the spatial frequency domain. Therefore, more frequency components of the TF contribute to the wave-field calculation, leading to a much wider propagation range and a higher computational accuracy.</abstract><cop>United States</cop><pub>Optical Society of America</pub><pmid>32164012</pmid><doi>10.1364/OL.385553</doi><tpages>4</tpages><orcidid>https://orcid.org/0000-0001-9786-5008</orcidid><orcidid>https://orcid.org/0000-0002-9459-8685</orcidid></addata></record> |
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subjects | Accuracy Aliasing Diffraction Far fields Mathematical analysis Propagation Spectrum allocation Transfer functions Wave propagation |
title | Band-extended angular spectrum method for accurate diffraction calculation in a wide propagation range |
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