Exact Gaussian-Beam Theory for Outgoing and Standing Spherical Waves: Application to Transmitting and Receiving Antennas
Outgoing spherical vector-wave functions are expressed in terms of Gaussian beams (also called complex source-point beams) radiating in all directions. By use of a vector-wave expansion, the electromagnetic field of an arbitrary source of finite extent is thus expressed in terms of Gaussian beams wi...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2012-03, Vol.60 (3), p.1291-1302 |
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| creator | Hansen, T. B. |
| description | Outgoing spherical vector-wave functions are expressed in terms of Gaussian beams (also called complex source-point beams) radiating in all directions. By use of a vector-wave expansion, the electromagnetic field of an arbitrary source of finite extent is thus expressed in terms of Gaussian beams with weights determined directly from the spherical expansion coefficients of the source. These outgoing-wave formulas allow the field of any transmitting antenna to be expressed in terms of Gaussian beams. Elementary Gaussian-beam receivers are introduced as the electromagnetic field at complex points in space. The outputs of elementary Gaussian-beam receivers pointing in all directions determine the spherical expansion coefficients in a standing-wave expansion. These standing-wave formulas allow the output of any receiving antenna to be expressed in terms of the outputs of elementary Gaussian-beam receivers. Combining the formulas for outgoing and standing waves produces a new antenna-antenna transmission formula based solely on Gaussian beams. The theory is exact and validated through numerical examples. |
| doi_str_mv | 10.1109/TAP.2011.2180342 |
| format | Article |
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B.</creator><creatorcontrib>Hansen, T. B.</creatorcontrib><description>Outgoing spherical vector-wave functions are expressed in terms of Gaussian beams (also called complex source-point beams) radiating in all directions. By use of a vector-wave expansion, the electromagnetic field of an arbitrary source of finite extent is thus expressed in terms of Gaussian beams with weights determined directly from the spherical expansion coefficients of the source. These outgoing-wave formulas allow the field of any transmitting antenna to be expressed in terms of Gaussian beams. Elementary Gaussian-beam receivers are introduced as the electromagnetic field at complex points in space. The outputs of elementary Gaussian-beam receivers pointing in all directions determine the spherical expansion coefficients in a standing-wave expansion. These standing-wave formulas allow the output of any receiving antenna to be expressed in terms of the outputs of elementary Gaussian-beam receivers. Combining the formulas for outgoing and standing waves produces a new antenna-antenna transmission formula based solely on Gaussian beams. The theory is exact and validated through numerical examples.</description><identifier>ISSN: 0018-926X</identifier><identifier>EISSN: 1558-2221</identifier><identifier>DOI: 10.1109/TAP.2011.2180342</identifier><identifier>CODEN: IETPAK</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Antenna theory ; Antennas ; Applied classical electromagnetism ; Applied sciences ; Electromagnetic propagation ; electromagnetic theory PRODUCTION ED: FYI - 2 texmacs here ; Electromagnetic wave propagation, radiowave propagation ; Electromagnetics ; Electromagnetism; electron and ion optics ; Exact sciences and technology ; Frequency modulation ; Fundamental areas of phenomenology (including applications) ; Physics ; Radiocommunications ; Receivers & amplifiers ; Receiving antennas ; Studies ; Telecommunications ; Telecommunications and information theory ; Transmitting antennas ; Vectors</subject><ispartof>IEEE transactions on antennas and propagation, 2012-03, Vol.60 (3), p.1291-1302</ispartof><rights>2015 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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The outputs of elementary Gaussian-beam receivers pointing in all directions determine the spherical expansion coefficients in a standing-wave expansion. These standing-wave formulas allow the output of any receiving antenna to be expressed in terms of the outputs of elementary Gaussian-beam receivers. Combining the formulas for outgoing and standing waves produces a new antenna-antenna transmission formula based solely on Gaussian beams. The theory is exact and validated through numerical examples.</description><subject>Antenna theory</subject><subject>Antennas</subject><subject>Applied classical electromagnetism</subject><subject>Applied sciences</subject><subject>Electromagnetic propagation</subject><subject>electromagnetic theory PRODUCTION ED: FYI - 2 texmacs here</subject><subject>Electromagnetic wave propagation, radiowave propagation</subject><subject>Electromagnetics</subject><subject>Electromagnetism; electron and ion optics</subject><subject>Exact sciences and technology</subject><subject>Frequency modulation</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Radiocommunications</subject><subject>Receivers & amplifiers</subject><subject>Receiving antennas</subject><subject>Studies</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>Transmitting antennas</subject><subject>Vectors</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kM1LAzEQxYMoWD_ugpcgeNyaSbLdjbda_AJB0YreljQ7q5E2uyZp0f_eLK29zPCY92aYHyEnwIYATF1Mx09DzgCGHEomJN8hA8jzMuOcwy4ZMAZlpvjofZ8chPCVpCylHJCf6x9tIr3VyxCsdtkV6gWdfmLrf2nTevq4jB-tdR9Uu5q-xFR78dJ9ordGz-mbXmG4pOOumycdbetobOnUaxcWNsb_5DMatKtejV1E53Q4InuNngc83vRD8npzPZ3cZQ-Pt_eT8UNmBGcx44isyHPZ6Bo4q2vVQGG4Lg2qGlQtaxQgpWBiJkShC5Ems8IUBhAUL2ZKHJKz9d7Ot99LDLH6apfepZOV4iXLi5HiycTWJuPbEDw2VeftQvvfCljV460S3qrHW23wpsj5Zq8OCUSTPjY2bHM8z5XMRX__dO2ziLgdjyB9JaT4AxnphBg</recordid><startdate>20120301</startdate><enddate>20120301</enddate><creator>Hansen, T. 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B.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><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>IEEE transactions on antennas and propagation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Hansen, T. B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact Gaussian-Beam Theory for Outgoing and Standing Spherical Waves: Application to Transmitting and Receiving Antennas</atitle><jtitle>IEEE transactions on antennas and propagation</jtitle><stitle>TAP</stitle><date>2012-03-01</date><risdate>2012</risdate><volume>60</volume><issue>3</issue><spage>1291</spage><epage>1302</epage><pages>1291-1302</pages><issn>0018-926X</issn><eissn>1558-2221</eissn><coden>IETPAK</coden><abstract>Outgoing spherical vector-wave functions are expressed in terms of Gaussian beams (also called complex source-point beams) radiating in all directions. By use of a vector-wave expansion, the electromagnetic field of an arbitrary source of finite extent is thus expressed in terms of Gaussian beams with weights determined directly from the spherical expansion coefficients of the source. These outgoing-wave formulas allow the field of any transmitting antenna to be expressed in terms of Gaussian beams. Elementary Gaussian-beam receivers are introduced as the electromagnetic field at complex points in space. The outputs of elementary Gaussian-beam receivers pointing in all directions determine the spherical expansion coefficients in a standing-wave expansion. These standing-wave formulas allow the output of any receiving antenna to be expressed in terms of the outputs of elementary Gaussian-beam receivers. Combining the formulas for outgoing and standing waves produces a new antenna-antenna transmission formula based solely on Gaussian beams. The theory is exact and validated through numerical examples.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAP.2011.2180342</doi><tpages>12</tpages></addata></record> |
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| subjects | Antenna theory Antennas Applied classical electromagnetism Applied sciences Electromagnetic propagation electromagnetic theory PRODUCTION ED: FYI - 2 texmacs here Electromagnetic wave propagation, radiowave propagation Electromagnetics Electromagnetism electron and ion optics Exact sciences and technology Frequency modulation Fundamental areas of phenomenology (including applications) Physics Radiocommunications Receivers & amplifiers Receiving antennas Studies Telecommunications Telecommunications and information theory Transmitting antennas Vectors |
| title | Exact Gaussian-Beam Theory for Outgoing and Standing Spherical Waves: Application to Transmitting and Receiving Antennas |
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