An assessment of finite difference beam propagation method
A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered i...
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| Published in | IEEE journal of quantum electronics Vol. 26; no. 8; pp. 1335 - 1339 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.08.1990
Institute of Electrical and Electronics Engineers |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9197 |
| DOI | 10.1109/3.59679 |
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| Abstract | A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered in integrated optics are utilized. Using both methods normalized effective index values of the eigenmodes of these waveguides are calculated and compared with the exact values obtained from analytical expressions. As a further accuracy criterion, the power loss due to numerical errors when an eigenmode of a waveguide is excited is evaluated. Based on this comparison the accuracy, computational efficiency, and stability of the FD-BPM are assessed.< > |
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| AbstractList | A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered in integrated optics are utilized. Using both methods normalized effective index values of the eigenmodes of these waveguides are calculated and compared with the exact values obtained from analytical expressions. As a further accuracy criterion, the power loss due to numerical errors when an eigenmode of a waveguide is excited is evaluated. Based on this comparison the accuracy, computational efficiency, and stability of the FD-BPM are assessed A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered in integrated optics are utilized. Using both methods normalized effective index values of the eigenmodes of these waveguides are calculated and compared with the exact values obtained from analytical expressions. As a further accuracy criterion, the power loss due to numerical errors when an eigenmode of a waveguide is excited is evaluated. Based on this comparison the accuracy, computational efficiency, and stability of the FD-BPM are assessed.< > |
| Author | Chung, Y. Dagli, N. |
| Author_xml | – sequence: 1 givenname: Y. surname: Chung fullname: Chung, Y. organization: Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA – sequence: 2 givenname: N. surname: Dagli fullname: Dagli, N. organization: Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=19503041$$DView record in Pascal Francis |
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| Cites_doi | 10.1007/BF00619865 10.1364/AO.20.000848 10.1049/ip-j.1989.0043 10.1364/AO.25.001759 10.1364/JOSA.71.000803 10.1049/el:19890352 10.1109/3.8563 |
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| References | de zutter (ref4) 1989; 136 ref10 brigham (ref11) 1974 haus (ref9) 1984 ref8 ref7 robertson (ref2) 1985; 132 ref3 press (ref12) 1986 ref6 ref5 kogelnik (ref13) 1977 thylen (ref1) 1989; 3 |
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| Snippet | A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses... |
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| SubjectTerms | Applied sciences Circuit properties Computational efficiency Difference equations Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Finite difference methods Finite element methods Integrated optics Integrated optics. Optical fibers and wave guides Nonlinear optics Optical and optoelectronic circuits Optical losses Optical propagation Optical waveguides Partial differential equations |
| Title | An assessment of finite difference beam propagation method |
| URI | https://ieeexplore.ieee.org/document/59679 https://www.proquest.com/docview/28447924 |
| Volume | 26 |
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