Transfer Matrix Approach to Four Mode Coupling in Fiber Bragg Gratings
Shear strain effects within fiber Bragg grating sensors have been neglected in the theoretical treatment of these devices. Shear strains do however occur in everyday applications and additionally shear strains do change the spectral response of these sensors. This may lead to a nonlinear behavior or...
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| Veröffentlicht in: | IEEE journal of quantum electronics 2009-09, Vol.45 (9), p.1142-1148 |
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| container_title | IEEE journal of quantum electronics |
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| creator | Muller, M.S. El-Khozondar, H.J. Bernardini, A. Koch, A.W. |
| description | Shear strain effects within fiber Bragg grating sensors have been neglected in the theoretical treatment of these devices. Shear strains do however occur in everyday applications and additionally shear strains do change the spectral response of these sensors. This may lead to a nonlinear behavior or measurement errors. We develop a transfer matrix method using coupled mode theory, that is capable of modeling the encountered effects. The effects include intra grating polarization mode coupling and changes of the spectral response. We show how the transfer matrix is derived and construct a test case for checking the correctness of its results. We compute different load cases and compare the obtained solutions to the numerically integrated coupled mode equations. |
| doi_str_mv | 10.1109/JQE.2009.2021076 |
| format | Article |
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Shear strains do however occur in everyday applications and additionally shear strains do change the spectral response of these sensors. This may lead to a nonlinear behavior or measurement errors. We develop a transfer matrix method using coupled mode theory, that is capable of modeling the encountered effects. The effects include intra grating polarization mode coupling and changes of the spectral response. We show how the transfer matrix is derived and construct a test case for checking the correctness of its results. 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(IEEE) 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-c593cb9765731eff2b6b2310d5263641c2588c0a52d692601ac28fa459d15a1a3</citedby><cites>FETCH-LOGICAL-c383t-c593cb9765731eff2b6b2310d5263641c2588c0a52d692601ac28fa459d15a1a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5210222$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5210222$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21974295$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Muller, M.S.</creatorcontrib><creatorcontrib>El-Khozondar, H.J.</creatorcontrib><creatorcontrib>Bernardini, A.</creatorcontrib><creatorcontrib>Koch, A.W.</creatorcontrib><title>Transfer Matrix Approach to Four Mode Coupling in Fiber Bragg Gratings</title><title>IEEE journal of quantum electronics</title><addtitle>JQE</addtitle><description>Shear strain effects within fiber Bragg grating sensors have been neglected in the theoretical treatment of these devices. Shear strains do however occur in everyday applications and additionally shear strains do change the spectral response of these sensors. This may lead to a nonlinear behavior or measurement errors. We develop a transfer matrix method using coupled mode theory, that is capable of modeling the encountered effects. The effects include intra grating polarization mode coupling and changes of the spectral response. We show how the transfer matrix is derived and construct a test case for checking the correctness of its results. We compute different load cases and compare the obtained solutions to the numerically integrated coupled mode equations.</description><subject>Bragg gratings</subject><subject>Capacitive sensors</subject><subject>coupled mode analysis</subject><subject>Coupled modes</subject><subject>Electromagnetic measurements</subject><subject>Electromagnetic wave polarization</subject><subject>Exact sciences and technology</subject><subject>Fiber gratings</subject><subject>Fiber optics</subject><subject>Fibers</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>General equipment and techniques</subject><subject>Gratings</subject><subject>Instruments, apparatus, components and techniques common to several branches of physics and astronomy</subject><subject>Joining</subject><subject>Mathematical models</subject><subject>Optical elements, devices, and systems</subject><subject>optical fiber measurements</subject><subject>Optical fiber polarization</subject><subject>optical fiber transducers</subject><subject>Optical fibers</subject><subject>Optics</subject><subject>Other fiber-optical devices</subject><subject>Physics</subject><subject>polarization</subject><subject>Sensors</subject><subject>Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing</subject><subject>Sensors, gyros</subject><subject>Shear strain</subject><subject>Spectral response</subject><subject>Strain measurement</subject><subject>Temperature sensors</subject><subject>Tensile stress</subject><issn>0018-9197</issn><issn>1558-1713</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kcFLwzAUh4MoOKd3wUsR1FNnXtKkyVHHNpWJCPMcsiydHV07kxb0v_eNjR08eEnIy5cf730h5BLoAIDq-5f30YBRqnFhQHN5RHoghEohB35MepSCSjXo_JScxbjCY5Yp2iPjWbB1LHxIXm0byu_kYbMJjXWfSdsk46bDerPwybDpNlVZL5OyTsblHPHHYJfLZBJsi-V4Tk4KW0V_sd_75GM8mg2f0unb5Hn4ME0dV7xNndDczXUuRc7BFwWbyznjQBeCSS4zcEwo5agVbCE1kxSsY6qwmdALEBYs75O7XS42-dX52Jp1GZ2vKlv7potGSa0ypTC-T27_JbmgQlLsp0-u_4ArHLvGKQzmCIoWASG6g1xoYgy-MJtQrm34MUDN1r9B_2br3-z945Obfa6NzlYFenZlPLxj-BcZ0wK5qx1Xeu8P1wJDGGP8Fx6oirY</recordid><startdate>20090901</startdate><enddate>20090901</enddate><creator>Muller, M.S.</creator><creator>El-Khozondar, H.J.</creator><creator>Bernardini, A.</creator><creator>Koch, A.W.</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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Shear strains do however occur in everyday applications and additionally shear strains do change the spectral response of these sensors. This may lead to a nonlinear behavior or measurement errors. We develop a transfer matrix method using coupled mode theory, that is capable of modeling the encountered effects. The effects include intra grating polarization mode coupling and changes of the spectral response. We show how the transfer matrix is derived and construct a test case for checking the correctness of its results. We compute different load cases and compare the obtained solutions to the numerically integrated coupled mode equations.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/JQE.2009.2021076</doi><tpages>7</tpages></addata></record> |
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| subjects | Bragg gratings Capacitive sensors coupled mode analysis Coupled modes Electromagnetic measurements Electromagnetic wave polarization Exact sciences and technology Fiber gratings Fiber optics Fibers Fundamental areas of phenomenology (including applications) General equipment and techniques Gratings Instruments, apparatus, components and techniques common to several branches of physics and astronomy Joining Mathematical models Optical elements, devices, and systems optical fiber measurements Optical fiber polarization optical fiber transducers Optical fibers Optics Other fiber-optical devices Physics polarization Sensors Sensors (chemical, optical, electrical, movement, gas, etc.) remote sensing Sensors, gyros Shear strain Spectral response Strain measurement Temperature sensors Tensile stress |
| title | Transfer Matrix Approach to Four Mode Coupling in Fiber Bragg Gratings |
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