{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T04:18:06Z","timestamp":1777609086191,"version":"3.51.4"},"reference-count":30,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Electron."],"published-print":{"date-parts":[[2022,11,1]]},"DOI":"10.1587\/transele.2021esi0001","type":"journal-article","created":{"date-parts":[[2022,5,19]],"date-time":"2022-05-19T22:11:37Z","timestamp":1652998297000},"page":"644-651","source":"Crossref","is-referenced-by-count":2,"title":["Optimal Design of Optical Waveguide Devices Utilizing Beam Propagation Method with ADI Scheme"],"prefix":"10.1587","volume":"E105.C","author":[{"given":"Akito","family":"IGUCHI","sequence":"first","affiliation":[{"name":"Muroran Institute of Technology"}]},{"given":"Yasuhide","family":"TSUJI","sequence":"additional","affiliation":[{"name":"Muroran Institute of Technology"}]}],"member":"532","reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] J.S. Jensen and O. Sigmund, \u201cSystematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends,\u201d Appl. Phys. Lett., vol.84, no.12, pp.2022-2024, March 2004. 10.1063\/1.1688450","DOI":"10.1063\/1.1688450"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] P.I. Borel, L.H. Frandsen, A. Harp\u00f8th, M. Kristensen, J.S. Jensen, and O. Sigmund, \u201cTopology optimised broadband photonic crystal Y-splitter,\u201d Electron. Lett., vol.41, no.2, pp.69-71, Jan. 2005. 10.1049\/el:20057717","DOI":"10.1049\/el:20057717"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] Y. Tsuji and K. Hirayama, \u201cDesign of optical circuit devices using topology optimization method with function-expansion-based refractive index distribution,\u201d IEEE Photon. Technol. Lett., vol.20, no.12, pp.982-984, June 2008. 10.1109\/LPT.2008.922921","DOI":"10.1109\/LPT.2008.922921"},{"key":"4","doi-asserted-by":"publisher","unstructured":"[4] J.L.P. Ruiz, I. Aldaya, P. Dainese, and L.H. Gabrielli, \u201cDesign of compact arbitrary-ratio multimode power splitters based on topological derivative,\u201d IEEE Photon. Technol. Lett., vol.32, no.18, pp.1187-1190, Sept. 2020. 10.1109\/LPT.2020.3016012","DOI":"10.1109\/LPT.2020.3016012"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] M. Tomiyasu, K. Morimoto, A. Iguchi, and Y. Tsuji, \u201cA study on function-expansion-based topology optimization without gray area for optimal design of photonic devices,\u201d IEICE Trans. Electron., vol.E103-C, no.11, pp.552-559, Nov. 2020. 10.1587\/transele.2019ESP0005","DOI":"10.1587\/transele.2019ESP0005"},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] L.H. Frandsen, Y. Elesin, L.F. Frellsen, M. Mitrovic, Y. Ding, O. Sigmund, and K. Yvind, \u201cTopology optimized mode conversion in a photonic crystal waveguide fabricated in silicon-on-insulator material,\u201d Opt. Express, vol.22, no.7, pp.8525-8532, April 2014. 10.1364\/OE.22.008525","DOI":"10.1364\/OE.22.008525"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] A.Y. Piggott, J. Lu, K.G. Lagoudakis, J. Petykiewicz, T.M. Babinec, and J. Vu\u010dkovi\u0107, \u201cInverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer,\u201d Nature Photon., vol.9, pp.374-377, May 2015. 10.1038\/nphoton.2015.69","DOI":"10.1038\/nphoton.2015.69"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] J. Lu and J. Vu\u010dkovi\u0107, \u201cNanophotonic computational design,\u201d Opt. Express., vol.21, no.11, pp.13351-13367, June 2013. 10.1364\/OE.21.013351","DOI":"10.1364\/OE.21.013351"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] M. Perestjuk, H. Boerma, A. Schindler, P. Runge, and M. Schell, \u201cInverse design strategies for large passive waveguide structures,\u201d IEEE Photon. Technol. Lett., vol.33, no.5, pp.259-262, March 2021. 10.1109\/LPT.2021.3055137","DOI":"10.1109\/LPT.2021.3055137"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] Y. Sakamaki, T. Saida, T. Hashimoto, and H. Takahashi, \u201cNew optical waveguide design based on wavefront matching method,\u201d J. Lightw. Technol., vol.25, no.11, pp.3511-3518, Nov. 2007. 10.1109\/JLT.2007.906798","DOI":"10.1109\/JLT.2007.906798"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] Y. Sakamaki, T. Saida, T. Shibata, Y. Hida, T. Hashimoto, M. Tamura, and H. Takahashi, \u201cY-branch waveguides with stabilized splitting ratio designed by wavefront matching method,\u201d IEEE Photon. Technol. Lett., vol.18, no.7, pp.817-819, April 2006. 10.1109\/LPT.2006.871836","DOI":"10.1109\/LPT.2006.871836"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] Y. Sakamaki, T. Saida, T. Hashimoto, S. Kamei, and H. Takahashi, \u201cLoss reduction of waveguide crossings by wavefront matching method and their application to integrated optical circuits,\u201d J. Lightw. Technol., vol.27, no.13, pp.2257-2263, July 2009. 10.1109\/JLT.2008.2006411","DOI":"10.1109\/JLT.2008.2006411"},{"key":"13","doi-asserted-by":"publisher","unstructured":"[13] Y. Sakamaki, S. Kamei, T. Hashimoto, T. Kitoh, and H. Takahashi, \u201cLoss uniformity improvement of arrayed-waveguide grating with mode-field converters designed by wavefront matching method,\u201d J. Lightw. Technol., vol.27, no.24, pp.5170-5715, Dec. 2009. 10.1109\/JLT.2009.2034030","DOI":"10.1109\/JLT.2009.2034030"},{"key":"14","doi-asserted-by":"publisher","unstructured":"[14] A. Iguchi, Y. Tsuji, T. Yasui, and K. Hirayama, \u201cEfficient topology optimization of optical waveguide devices utilizing semi-vectorial finite-difference beam propagation method,\u201d Opt. Express, vol.25, no.3, pp.28210-28222, Nov. 2017. 10.1364\/OE.25.028210","DOI":"10.1364\/OE.25.028210"},{"key":"15","doi-asserted-by":"publisher","unstructured":"[15] A. Iguchi, Y. Tsuji, T. Yasui, and K. Hirayama, \u201cEfficient shape and topology optimization based on sensitivity analysis for optical waveguide devices utilizing full-vectorial BPM,\u201d J. Lightw. Technol., vol.38, no.8, pp.2328-2335, April 2020. 10.1109\/JLT.2020.2964781","DOI":"10.1109\/JLT.2020.2964781"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] A. Iguchi, Y. Tsuji, T. Yasui, and K. Hirayama, \u201cTopology optimal design for optical waveguides using time domain beam propagation method,\u201d IEICE Electron. Express, vol.15, no.11, 20180417, pp.1-7, May 2018. 10.1587\/elex.15.20180417","DOI":"10.1587\/elex.15.20180417"},{"key":"17","doi-asserted-by":"publisher","unstructured":"[17] M.D. Feit and J.A. Fleck, \u201cLight propagation in graded-index optical fibers,\u201d Appl. Opt., vol.17, no.24, pp.3990-3998, Dec. 1978. 10.1364\/AO.17.003990","DOI":"10.1364\/AO.17.003990"},{"key":"18","doi-asserted-by":"publisher","unstructured":"[18] Y. Chung and N. Dagli, \u201cAn assessment of finite difference beam propagation method,\u201d IEEE J. Quantum. Electron., vol.26, no.8, pp.1335-1339, Aug. 1990. 10.1109\/3.59679","DOI":"10.1109\/3.59679"},{"key":"19","doi-asserted-by":"publisher","unstructured":"[19] J. Yamauchi, T. Ando, and H. Nakano, \u201cBeam-propagation analysis of optical fibres by alternating direction implicit method,\u201d Electron. Lett., vol.27, no.18, pp.1663-1665, Aug. 1991. 10.1049\/el:19911039","DOI":"10.1049\/el:19911039"},{"key":"20","doi-asserted-by":"publisher","unstructured":"[20] P.L. Liu and B.J. Li, \u201cSemivectorial beam-propagation method for analyzing polarized modes of rib waveguides,\u201d IEEE J. Quantum. Electron., vol.28, no.4, pp.778-782, April 1992. 10.1109\/3.135193","DOI":"10.1109\/3.135193"},{"key":"21","doi-asserted-by":"publisher","unstructured":"[21] Y. Hsueh, M. Yang, and H. Chang, \u201cThree-dimensional noniterative full-vectorial beam propagation method based on the alternating direction implicit method,\u201d J. Ligthw. Technol., vol.17, no.11, pp.2389-2397, Nov. 1999. 10.1109\/50.803035","DOI":"10.1109\/50.803035"},{"key":"22","doi-asserted-by":"publisher","unstructured":"[22] M. Takahashi, Y. Uchida, S. Yamasaki, J. Hasegawa, and T. Yagi, \u201cDevelopment of low loss ultra-high \u0394 ZrO<sub>2<\/sub>-SiO<sub>2<\/sub> PLC for next generation compact and high-density integrated devices,\u201d IEICE Trans. Electron., vol.E97-C, no.7, pp.725-730, July 2014. 10.1587\/transele.E97.C.725","DOI":"10.1587\/transele.E97.C.725"},{"key":"23","doi-asserted-by":"publisher","unstructured":"[23] J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, \u201cComparative study of several time-domain methods for optical waveguide analyses,\u201d J. Lightw. Technol., vol.23, no.7, pp.2285-2293, July 2005. 10.1109\/JLT.2005.850032","DOI":"10.1109\/JLT.2005.850032"},{"key":"24","doi-asserted-by":"publisher","unstructured":"[24] P-L. Liu, Q. Zhao, and F-S. Choa, \u201cSlow-wave finite-difference beam propagation method,\u201d IEEE Photon. Technol. Lett., vol.7, no.8, pp.890-892, Aug. 1995. 10.1109\/68.404005","DOI":"10.1109\/68.404005"},{"key":"25","doi-asserted-by":"publisher","unstructured":"[25] W.C. Chew and W.H. Weedon, \u201cA 3D perfectly matched medium from modified maxwell&apos;s equations with stretched coordinates,\u201d Microw. Opt. Technol. Lett., vol.7, no.13, pp.599-604, Sept. 1994. 10.1002\/mop.4650071304","DOI":"10.1002\/mop.4650071304"},{"key":"26","doi-asserted-by":"publisher","unstructured":"[26] W.P. Huang, C.L. Xu, W. Lui, and K. Yokoyama, \u201cThe perfectly matched layer (PML) boundary condition for the beam propagation method,\u201d IEEE Photon. Technol. Lett., vol.8, no.5, pp.649-651, May 1996. 10.1109\/68.491568","DOI":"10.1109\/68.491568"},{"key":"27","doi-asserted-by":"publisher","unstructured":"[27] Q. Liu, K.S. Chiang, and V. Rastogi, \u201cAnalysis of corrugated long-period gratings in slab waveguides and their polarization dependence,\u201d J. Lightw. Technol., vol.21, no.12, pp.3399-3405, Dec. 2003. 10.1109\/JLT.2003.821749","DOI":"10.1109\/JLT.2003.821749"},{"key":"28","doi-asserted-by":"publisher","unstructured":"[28] Y. Yang, K. Chen, W. Jin, and K.S. Chiang, \u201cWidely wavelength-tunable mode converter based on polymer waveguide grating,\u201d IEEE Photon. Technol. Lett., vol.27, no.18, pp.1985-1988, Sept. 2015. 10.1109\/LPT.2015.2448793","DOI":"10.1109\/LPT.2015.2448793"},{"key":"29","doi-asserted-by":"publisher","unstructured":"[29] K. Saitoh, T. Uematsu, N. Hanzawa, Y. Ishizaka, K. Masumoto, T. Sakamoto, T. Matsui, K. Tsujikawa, and F. Yamamoto, \u201cPLC-based LP<sub>11<\/sub> mode rotator for mode-division multiplexing transmission,\u201d Opt. Express, vol.22, no.16, pp.11917-19130, Aug. 2014. 10.1364\/OE.22.019117","DOI":"10.1364\/OE.22.019117"},{"key":"30","doi-asserted-by":"publisher","unstructured":"[30] N. Hanzawa, K. Saitoh, T. Sakamoto, T. Matsui, K. Tsujikawa, T. Uematsu, and F. Yamamoto, \u201cPLC-Based four-mode multi\/ demultiplexer with LP<sub>11<\/sub> mode rotator on one chip,\u201d J. Lightw. Technol., vol.33, no.6, pp.1161-1165, March 2015. 10.1109\/JLT.2014.2378281","DOI":"10.1109\/JLT.2014.2378281"}],"container-title":["IEICE Transactions on Electronics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E105.C\/11\/E105.C_2021ESI0001\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,5]],"date-time":"2022-11-05T03:36:12Z","timestamp":1667619372000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E105.C\/11\/E105.C_2021ESI0001\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,1]]},"references-count":30,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.1587\/transele.2021esi0001","relation":{},"ISSN":["0916-8524","1745-1353"],"issn-type":[{"value":"0916-8524","type":"print"},{"value":"1745-1353","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,1]]},"article-number":"2021ESI0001"}}