Numerical Properties of a Gaussian Translation Operator for the 2D FMM
A diagonal Gaussian translation operator for the time-harmonic fast multipole method (FMM) in two dimensions is examined numerically. The Gaussian translation operator depends on a beam parameter that determines its sharpness. When the beam parameter is set to zero, the Gaussian translation operator...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2014-06, Vol.62 (6), p.3119-3129 |
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| container_title | IEEE transactions on antennas and propagation |
| container_volume | 62 |
| creator | Hansen, Thorkild B. |
| description | A diagonal Gaussian translation operator for the time-harmonic fast multipole method (FMM) in two dimensions is examined numerically. The Gaussian translation operator depends on a beam parameter that determines its sharpness. When the beam parameter is set to zero, the Gaussian translation operator reduces to the standard FMM translation operator. The sampling rate can be determined straightforwardly to achieve any desired accuracy. The directionality of the Gaussian translation operator makes it possible to reduce the number of plane waves required to achieve a given accuracy. The required number of plane waves depends strongly on the actual source-receiver locations, not just on the diameter of the source and receiver regions. |
| doi_str_mv | 10.1109/TAP.2014.2314291 |
| format | Article |
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The Gaussian translation operator depends on a beam parameter that determines its sharpness. When the beam parameter is set to zero, the Gaussian translation operator reduces to the standard FMM translation operator. The sampling rate can be determined straightforwardly to achieve any desired accuracy. The directionality of the Gaussian translation operator makes it possible to reduce the number of plane waves required to achieve a given accuracy. 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The required number of plane waves depends strongly on the actual source-receiver locations, not just on the diameter of the source and receiver regions.</description><subject>Accuracy</subject><subject>Applied classical electromagnetism</subject><subject>Electromagnetic propagation</subject><subject>electromagnetic theory</subject><subject>Electromagnetic wave propagation, radiowave propagation</subject><subject>Electromagnetism; electron and ion optics</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Geometry</subject><subject>Physics</subject><subject>Receiving antennas</subject><subject>Transmitting antennas</subject><subject>Vectors</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kFFLwzAQgIMoOKfvgi8B8bHz7pq26eOYbgqb28ME30IaE-zY2pm0D_57Mzb2cBzHfXfHfYzdI4wQoXxej1cjAhQjSlFQiRdsgFkmEyLCSzYAQJmUlH9ds5sQNrEUUogBm370O-tro7d85du99V1tA28d13ym-xBq3fC1103Y6q5uG76MiO5az12M7sdyeuHTxeKWXTm9DfbulIfsc_q6nrwl8-XsfTKeJyYl7BLroEJd6bSQxoLLUEvSxoqq1EUlhM1MWaAuv00lCY10FZAjKEHmKMERpUP2eNy79-1vb0OnNm3vm3hSYSZygCIvMFJwpIxvQ_DWqb2vd9r_KQR1sKWiLXWwpU624sjTabEOUYaLL5s6nOdI5pCmlEXu4cjV1tpzOy8kAon0H_VgcU0</recordid><startdate>20140601</startdate><enddate>20140601</enddate><creator>Hansen, Thorkild B.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Accuracy Applied classical electromagnetism Electromagnetic propagation electromagnetic theory Electromagnetic wave propagation, radiowave propagation Electromagnetism electron and ion optics Exact sciences and technology Fundamental areas of phenomenology (including applications) Geometry Physics Receiving antennas Transmitting antennas Vectors |
| title | Numerical Properties of a Gaussian Translation Operator for the 2D FMM |
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