Stability Condition of Finite-Element Beam Propagation Methods in Lossy Waveguides
A simple tool for evaluating the stability of the finite-element beam propagation method (FEBPM) for lossy waveguides is described. Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation functio...
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| Veröffentlicht in: | IEEE journal of quantum electronics 2014-10, Vol.50 (10), p.808-814 |
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| creator | Tran, Thang Q. Kim, Sangin |
| description | A simple tool for evaluating the stability of the finite-element beam propagation method (FEBPM) for lossy waveguides is described. Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. The dependence of the stability of the FEBPM on the propagation step size is also noted. |
| doi_str_mv | 10.1109/JQE.2014.2347371 |
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Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. 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Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. The dependence of the stability of the FEBPM on the propagation step size is also noted.</description><subject>Approximants</subject><subject>Beams (radiation)</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Indexes</subject><subject>Mathematical analysis</subject><subject>Numerical stability</subject><subject>Optical waveguides</subject><subject>Quantum electronics</subject><subject>Stability</subject><subject>Stability criteria</subject><subject>Transmission line matrix methods</subject><subject>Waveguides</subject><issn>0018-9197</issn><issn>1558-1713</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkM1PwzAMxSMEEmNwR-JSiQuXjrhJmvYI08aHhvgWxyhN3ZGpa0bTIu2_J2MTB-SDZev3rOdHyCnQEQDNL--fJ6OEAh8ljEsmYY8MQIgsBglsnwwohSzOIZeH5Mj7RRg5z-iAvLx2urC17dbR2DWl7axrIldFU9vYDuNJjUtsuuga9TJ6at1Kz_Uv8oDdpyt9ZJto5rxfRx_6G-e9LdEfk4NK1x5Pdn1I3qeTt_FtPHu8uRtfzWLDctrFRW7KVGhZMJAZ1UYYUwXfCWrOK2AmrFOtmWaJLMrSSCFMmpsiMyCZxlyzIbnY3l217qtH36ml9QbrWjfoeq8gTSjNQ8mAnv9DF65vm-BOgUiFEDzhECi6pUwbXmqxUqvWLnW7VkDVJmQVQlabkNUu5CA520osIv7haSYzDpT9AOmRd8A</recordid><startdate>20141001</startdate><enddate>20141001</enddate><creator>Tran, Thang Q.</creator><creator>Kim, Sangin</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. The dependence of the stability of the FEBPM on the propagation step size is also noted.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/JQE.2014.2347371</doi><tpages>7</tpages></addata></record> |
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| subjects | Approximants Beams (radiation) Finite element analysis Finite element method Indexes Mathematical analysis Numerical stability Optical waveguides Quantum electronics Stability Stability criteria Transmission line matrix methods Waveguides |
| title | Stability Condition of Finite-Element Beam Propagation Methods in Lossy Waveguides |
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