A convenient and eective ®nite-element-based method for bueting analysis of complex structures is presented. This method is very ecient for structures with the natural frequencies closely spaced because their corresponding modes and the cross-correlation terms between them should be included in the
Reformulation of FFT-BPM for highly accurate analysis
✍ Scribed by Masayuki Yamamoto; Yasuhide Tsuji; Masanori Koshiba
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 232 KB
- Volume
- 81
- Category
- Article
- ISSN
- 8756-663X
No coin nor oath required. For personal study only.
✦ Synopsis
The formulation of FFT-BPM to be effective in the analysis and design of optical waveguide devices is revised. A new method is conceived that can prevent degradation of numerical accuracy by keeping the phase rotation term small regardless of the value of the reference refractive index. By using two-and three-dimensional tilted straight waveguides, the performance of the FFT-BPM developed here is evaluated. It is confirmed that the accuracy of the paraxial equation, whose use in the analysis of a wide-angle beam propagation is considered difficult, has been increased substantially. Also, the Padé approximation is applied for the first time to three-dimensional FFT-BPM. In addition, we point out that the method proposed here is effective for Padé approximation.
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