Comparison of absorbing boundary conditions for numerical analysis of periodic structures
Periodic structures like gratings or frequency selective surfaces are widely met in antenna design and applications. Some problems require calculating reflectivity in a wide frequency band. Time domain methods like FDTD are beneficial in such problems since they provide the whole spectrum in a singl...
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| creator | Butrym, A. Yu Legenkiy, M. N. |
| description | Periodic structures like gratings or frequency selective surfaces are widely met in antenna design and applications. Some problems require calculating reflectivity in a wide frequency band. Time domain methods like FDTD are beneficial in such problems since they provide the whole spectrum in a single simulation. A periodic structure is modeled as a Floquet waveguide. In FDTD the simulation region needs to be bound with absorbing boundary condition that imitates a semi-infinite waveguide. We tested several such conditions, which are widely used, and reveal that none of these performs well near cutoff frequencies. The problem is demonstrated on a simple illustrative diffraction problem. Some possible ways of improving ABC to overcome the difficulty are discussed. |
| doi_str_mv | 10.1109/ICATT.2007.4425170 |
| format | Conference Proceeding |
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Yu ; Legenkiy, M. N.</creator><creatorcontrib>Butrym, A. Yu ; Legenkiy, M. N.</creatorcontrib><description>Periodic structures like gratings or frequency selective surfaces are widely met in antenna design and applications. Some problems require calculating reflectivity in a wide frequency band. Time domain methods like FDTD are beneficial in such problems since they provide the whole spectrum in a single simulation. A periodic structure is modeled as a Floquet waveguide. In FDTD the simulation region needs to be bound with absorbing boundary condition that imitates a semi-infinite waveguide. We tested several such conditions, which are widely used, and reveal that none of these performs well near cutoff frequencies. The problem is demonstrated on a simple illustrative diffraction problem. Some possible ways of improving ABC to overcome the difficulty are discussed.</description><identifier>ISBN: 1424415845</identifier><identifier>ISBN: 9781424415847</identifier><identifier>DOI: 10.1109/ICATT.2007.4425170</identifier><language>eng</language><publisher>IEEE</publisher><subject>Absorbing Boundary Condition ; Boundary conditions ; Finite difference methods ; Floquet waveguide ; Frequency selective surfaces ; Gratings ; Klein-Gordon equation ; Mode Basis Method ; Numerical analysis ; Perfectly Matched Layer ; Performance evaluation ; Periodic structures ; Reflectivity ; Testing ; Time domain analysis</subject><ispartof>2007 6th International Conference on Antenna Theory and Techniques, 2007, p.239-242</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4425170$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2051,27904,54898</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4425170$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Butrym, A. Yu</creatorcontrib><creatorcontrib>Legenkiy, M. N.</creatorcontrib><title>Comparison of absorbing boundary conditions for numerical analysis of periodic structures</title><title>2007 6th International Conference on Antenna Theory and Techniques</title><addtitle>ICATT</addtitle><description>Periodic structures like gratings or frequency selective surfaces are widely met in antenna design and applications. Some problems require calculating reflectivity in a wide frequency band. Time domain methods like FDTD are beneficial in such problems since they provide the whole spectrum in a single simulation. A periodic structure is modeled as a Floquet waveguide. In FDTD the simulation region needs to be bound with absorbing boundary condition that imitates a semi-infinite waveguide. We tested several such conditions, which are widely used, and reveal that none of these performs well near cutoff frequencies. The problem is demonstrated on a simple illustrative diffraction problem. Some possible ways of improving ABC to overcome the difficulty are discussed.</description><subject>Absorbing Boundary Condition</subject><subject>Boundary conditions</subject><subject>Finite difference methods</subject><subject>Floquet waveguide</subject><subject>Frequency selective surfaces</subject><subject>Gratings</subject><subject>Klein-Gordon equation</subject><subject>Mode Basis Method</subject><subject>Numerical analysis</subject><subject>Perfectly Matched Layer</subject><subject>Performance evaluation</subject><subject>Periodic structures</subject><subject>Reflectivity</subject><subject>Testing</subject><subject>Time domain analysis</subject><isbn>1424415845</isbn><isbn>9781424415847</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2007</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj81KxDAcxAMiqOu-gF7yAl3z8U_SHKX4BQteevG0JGkikTYpSXvYt7fizmVgYIbfIPRAyYFSop8-uue-PzBC1AGACarIFbqjwACoaEHcoH2tP2QT11wScYu-ujzNpsSaE84BG1tzsTF9Y5vXNJhyxi6nIS4xp4pDLjitky_RmRGbZMZzjfWvN29ZHqLDdSmrW9bi6z26Dmasfn_xHepfX_ruvTl-vm2YxyZSJZbGSs28163WVEJoKQ-KhHYAF6QAIzmTktmBKyAOnOOMG6EDUw5CIN4yvkOP_7PRe3-aS5w26NPlPP8FVh9R2A</recordid><startdate>200709</startdate><enddate>200709</enddate><creator>Butrym, A. Yu</creator><creator>Legenkiy, M. N.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200709</creationdate><title>Comparison of absorbing boundary conditions for numerical analysis of periodic structures</title><author>Butrym, A. Yu ; Legenkiy, M. N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-b692ee9899164f813f70f8d4cf654a632662bd3740c4cc323a59f27c4ff0eb23</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Absorbing Boundary Condition</topic><topic>Boundary conditions</topic><topic>Finite difference methods</topic><topic>Floquet waveguide</topic><topic>Frequency selective surfaces</topic><topic>Gratings</topic><topic>Klein-Gordon equation</topic><topic>Mode Basis Method</topic><topic>Numerical analysis</topic><topic>Perfectly Matched Layer</topic><topic>Performance evaluation</topic><topic>Periodic structures</topic><topic>Reflectivity</topic><topic>Testing</topic><topic>Time domain analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Butrym, A. Yu</creatorcontrib><creatorcontrib>Legenkiy, M. N.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Butrym, A. Yu</au><au>Legenkiy, M. N.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Comparison of absorbing boundary conditions for numerical analysis of periodic structures</atitle><btitle>2007 6th International Conference on Antenna Theory and Techniques</btitle><stitle>ICATT</stitle><date>2007-09</date><risdate>2007</risdate><spage>239</spage><epage>242</epage><pages>239-242</pages><isbn>1424415845</isbn><isbn>9781424415847</isbn><abstract>Periodic structures like gratings or frequency selective surfaces are widely met in antenna design and applications. Some problems require calculating reflectivity in a wide frequency band. Time domain methods like FDTD are beneficial in such problems since they provide the whole spectrum in a single simulation. A periodic structure is modeled as a Floquet waveguide. In FDTD the simulation region needs to be bound with absorbing boundary condition that imitates a semi-infinite waveguide. We tested several such conditions, which are widely used, and reveal that none of these performs well near cutoff frequencies. The problem is demonstrated on a simple illustrative diffraction problem. Some possible ways of improving ABC to overcome the difficulty are discussed.</abstract><pub>IEEE</pub><doi>10.1109/ICATT.2007.4425170</doi><tpages>4</tpages></addata></record> |
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| subjects | Absorbing Boundary Condition Boundary conditions Finite difference methods Floquet waveguide Frequency selective surfaces Gratings Klein-Gordon equation Mode Basis Method Numerical analysis Perfectly Matched Layer Performance evaluation Periodic structures Reflectivity Testing Time domain analysis |
| title | Comparison of absorbing boundary conditions for numerical analysis of periodic structures |
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