Article(id=1319954908325986795, tenantId=1146029695717560320, journalId=1278651732997652489, issueId=1319954807939515170, articleNumber=null, orderNo=null, doi=10.12086/oee.2026.260102, pmid=null, cstr=32245.14.oee.2026.260102, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1777305600000, receivedDateStr=2026-04-28, revisedDate=1781539200000, revisedDateStr=2026-06-16, acceptedDate=1781712000000, acceptedDateStr=2026-06-18, onlineDate=1792631373720, onlineDateStr=2026-10-22, pubDate=1784908800000, pubDateStr=2026-07-25, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792631373720, onlineIssueDateStr=2026-10-22, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792631373720, creator=13701087609, updateTime=1792631373720, updator=13701087609, issue=Issue{id=1319954807939515170, tenantId=1146029695717560320, journalId=1278651732997652489, year='2026', volume='53', issue='7', pageStart='250354', pageEnd='1', issueExtLink='null', onlineDate='null', pubDate='1784908800000', pubDateStr='2026-07-25', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1792631349786, creator='13701087609', updateTime=1792720386185, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1320328253928222956, tenantId=1146029695717560320, journalId=1278651732997652489, issueId=1319954807939515170, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1320328253928222957, tenantId=1146029695717560320, journalId=1278651732997652489, issueId=1319954807939515170, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=260102, endPage=1, ext={EN=ArticleExt(id=1319954908552479212, articleId=1319954908325986795, tenantId=1146029695717560320, journalId=1278651732997652489, language=EN, title=Efficient fabrication of optical waveguides in glass via slm-based multi-foci femtosecond laser longitudinal writing, columnId=1279511634116841602, journalTitle=Opto-Electronic Engineering, columnName=Article, runingTitle=null, highlight=null, articleAbstract=
Objective Femtosecond laser direct writing has emerged as a powerful tool for fabricating three-dimensional photonic circuits inside transparent materials. However, conventional transverse writing geometry suffers from aberration-induced cross-sectional distortion, resulting in pronounced polarization sensitivity of the inscribed waveguides. Moreover, the single-focus point-by-point scanning strategy severely limits fabrication throughput when dealing with large-scale waveguide arrays or complex integrated structures. This work aims to develop a high-efficiency, polarization-insensitive waveguide fabrication strategy that simultaneously addresses the symmetry issue of transverse writing and the throughput bottleneck of serial scanning.
Methods A longitudinal femtosecond-laser multi-focus writing (LFLMW) technique based on a reflective phase-only spatial light modulator (SLM) was proposed. The SLM was loaded with computer-generated holograms designed by the GSW algorithm to convert a single incident beam into programmable multi-focus arrays at the focal plane of the objective lens. The sample was translated parallel to the laser propagation direction, ensuring that the axial direction of the multi-focus array coincided with the sample scanning direction. An optical system incorporating a 1030 nm, 300 fs, 76 kHz femtosecond laser amplifier, a 4f imaging system, and a 20× objective (NA = 0.4) was employed. Fused silica substrates with dimensions of 10 mm × 10 mm × 2 mm were used. Through systematic optimization of pulse energy, scanning speed, and inter-focus spacing, Type I waveguide arrays with different channel counts and cladding waveguides with varied track numbers were fabricated in a single longitudinal scan. Free-space end-face coupling at 633 nm was used to characterize the insertion loss, near-field mode profiles, and polarization dependence of the fabricated waveguides. Based on this technique, a 1×9 beam splitter was fabricated by dynamically switching between a ring-shaped hologram for the input cladding waveguide and a rectangular hologram for the output Type I waveguide array.
Results and Discussions Multi-focus arrays including 2×2, 3×3, 4×4 rectangular matrices and ring-shaped patterns with 8 to 16 foci were generated with high fidelity, as verified by CCD imaging at the Fourier plane. For Type I waveguide arrays, a 2×2 array was fabricated with a total pulse energy of 8.4 μJ and a scanning speed of 2 mm/s. The inter-focus spacing of 9 μm effectively suppressed thermal cross-talk between adjacent channels. All waveguides exhibited approximately circular cross-sections with an average mode-field diameter of ~5 μm. Average propagation losses of 1.1 dB/cm (TE) and 1.0 dB/cm (TM) were achieved. For 3×3 and 4×4 arrays, the total pulse energies were increased to 17.9 μJ and 21.7 μJ, respectively, with a reduced scanning speed of 0.4 mm/s to guarantee sufficient energy deposition at each focal spot. All channels maintained regular matrix arrangement without observable inter-channel distortion. Single-mode guidance was confirmed for both polarizations. The 3×3 array exhibited average losses of 0.4 dB/cm (TE) and 0.5 dB/cm (TM), while the 4×4 array achieved losses as low as 0.1 dB/cm (TE) and 0.2 dB/cm (TM).
Cladding waveguides with 8, 10, 12, 14, and 16 damage tracks were fabricated using a total pulse energy of 21.7 μJ and a scanning speed of 0.4 mm/s. The tighter focal spacing in the ring-shaped arrays induced significantly enhanced cumulative energy deposition through superimposed stress and thermal effects, pushing the local modification beyond the positive refractive index change regime into the negative change region dominated by micro-damage and material rarefaction. All cladding waveguides had a diameter of approximately 32 μm. Single-mode transmission was observed under both TE and TM polarizations for all track numbers. The measured propagation losses ranged from 3.62 to 4.83 dB/cm for TE polarization and from 2.98 to 4.17 dB/cm for TM polarization. Increasing the track number densified the cladding boundary, theoretically enhancing transverse confinement; however, it also introduced additional scattering interfaces, resulting in no monotonic trend in propagation loss as a function of track count.
A 1×9 beam splitter was demonstrated by cascading a 16-track cladding waveguide (core diameter 35 μm) as the input stage with a 3×3 Type I waveguide array as the output splitting stage. Hologram switching was executed without sample repositioning, ensuring precise alignment between the two sections. At 633 nm, total insertion losses of 2.20 dB (TE) and 1.37 dB (TM) were measured.
Coclusions A SLM-based longitudinal femtosecond-laser multi-focus writing technique was successfully developed for parallel and efficient fabrication of optical waveguides and integrated devices in glass. By active wavefront modulation, programmable multi-focus arrays were generated at the objective focal plane, enabling simultaneous inscription of multiple waveguide tracks in a single longitudinal scan. Type I waveguide arrays scaled from 2×2 to 4×4 and cladding waveguides with tunable track numbers from 8 to 16 were fabricated. Type I waveguide exhibited high cross-sectional circularity, polarization-insensitive guidance, and propagation losses comparable to those fabricated by conventional single-focus serial writing. Cladding waveguides shown a slightly larger TE/TM loss difference, while all cladding waveguides maintain stable single-mode guidance under arbitrary polarization. The cascaded integration of a cladding waveguide input and a Type I waveguide array output was achieved through dynamic hologram switching, realizing a 1×9 polarization-independent beam splitter with low insertion loss and high splitting uniformity at 633 nm. Compared with conventional serial writing, the proposed method theoretically reduces the processing time of an N-track structure to 1/N. Compared with transverse writing approaches, the longitudinal geometry eliminates aberration-induced cross-sectional asymmetry. This technique provides a promising route toward rapid prototyping and scalable manufacturing of high-performance photonic integrated devices for applications in quantum photonics, optical interconnects, and waveguide lasers.
, authors=Xue Bai, Yang Song, Yingying Ren, authorsList=Xue Bai, Yang Song, Yingying Ren, authorCompany=null, correspAuthors=Yingying Ren, authorNote=null, correspAuthorsNote=
, copyrightStatement=Copyright © 2026 Opto-Electronic Engineering. All rights reserved., copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1319954916718789129, articleId=1319954908325986795, tenantId=1146029695717560320, journalId=1278651732997652489, language=CN, title=基于SLM的飞秒激光多焦点纵向直写高效制备玻璃光波导, columnId=1279511637858160772, journalTitle=光电工程, columnName=科研论文, runingTitle=null, highlight=null, articleAbstract=
为解决传统飞秒激光横向逐线直写光波导存在的加工效率低、截面易畸变、偏振敏感性强等问题,本文提出一种基于空间光调制器(spatial light modulator,SLM)的纵向飞秒激光多焦点直写策略。通过GSW算法设计多焦点阵列全息图,将多焦点阵列轴向与样品纵向运动方向重合,实现光波导的纵向并行高效制备。在石英玻璃内成功制备出2×2、3×3、4×4规模的I型光波导阵列及轨迹数8~16可调的环形包层光波导。所制备波导截面呈近似圆形,4×4的I型波导阵列在横电 (transverse electric, TE)和横磁(transverse magnetic, TM)偏振下,单条波导损耗最低可达0.1 dB/cm和0.2 dB/cm,展示了偏振无关的传输特性;包层光波导在任意偏振下均实现了良好的单模传输。基于该技术,通过SLM实时切换全息图,一步式完成“包层光波导输入端-I型波导阵列输出端”级联的1×9分束器集成制备,器件能够实现任意偏振分光,插入损耗低、分光均匀性优良。该方法兼具纵向直写的高对称性优势与多焦点并行加工的高效性,简化了复杂光子器件的制备流程,为高性能光子集成器件的快速制备提供了新方案。
, authors=白雪, 宋杨, 任莹莹
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作者贡献
白雪:文献调研,进行数据处理,论文写作与修改;宋杨:文献调研,实验设计,论文初稿写作,实验系统搭建,实验数据采集;任莹莹:指导论文选题、论文方法设计。
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18(15): 16035−16041., articleTitle=null, refAbstract=null)], funds=null, companyList=[AuthorCompany(id=1319954917201134090, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, xref=null, ext=[AuthorCompanyExt(id=1319954917243077131, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, companyId=1319954917201134090, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Shandong Provincial Key Laboratory of Light Field Manipulation Physics and Application, School of Physics and Electronics, Shandong Normal University, Jinan, Shandong 250358, China), AuthorCompanyExt(id=1319954917272437260, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, companyId=1319954917201134090, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=山东师范大学物理与光电学院,山东省光场调控物理及应用重点实验室,山东 济南 250358)])], figs=[ArticleFig(id=1319954920934064676, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Fig.1, caption=
Schematic of optical path for femtosecond laser multi-focus longitudinal processing, figureFileSmall=xbJ8E/ZZG9m8be7/4BONFw==, figureFileBig=t/PnFpUN2xN8iQF8JV4EQw==, tableContent=null), ArticleFig(id=1319954921022145061, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=图1, caption=
飞秒激光纵向多焦点并行加工光路示意图, figureFileSmall=xbJ8E/ZZG9m8be7/4BONFw==, figureFileBig=t/PnFpUN2xN8iQF8JV4EQw==, tableContent=null), ArticleFig(id=1319954921231860262, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Fig.2, caption=
Fabrication of 2×2 waveguide arrays. (a) Target light field distribution of a 2×2 focal array; (b) Computed hologram; (c) Actual light field distribution captured by CCD; (d) Cross-sectional view for 2×2 waveguide array; Mode distributions under (e) TE polarization and (f) TM polarization, figureFileSmall=O3nj4Y4oEhlRSaTOmPyTRg==, figureFileBig=b0rV6S74zAqfhVUn4ITJIQ==, tableContent=null), ArticleFig(id=1319954921315746343, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=图2, caption=
2×2光波导阵列的制备。(a) 2×2 焦点阵列的目标光场分布图;(b)计算全息图;(c) CCD采集的光场实际分布图;(d) 2×2波导阵列的端面显微镜图像;(e) TE偏振和(f) TM偏振下的模式分布图, figureFileSmall=O3nj4Y4oEhlRSaTOmPyTRg==, figureFileBig=b0rV6S74zAqfhVUn4ITJIQ==, tableContent=null), ArticleFig(id=1319954921408021032, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Fig.3, caption=
Fabrication of 3×3 and 4×4 waveguide arrays. (a) Target light field distribution for 3×3 foci array; (b) Cross-sectional view, for 3×3 waveguide array; Mode distributions under (c) TE polarization and (d) TM polarization; (e) Target light field distribution for 4×4 foci array; (f) Cross-sectional viewfor 4×4 waveguide array; Mode distributions under (g) TE polarization and (h) TM polarization, figureFileSmall=hwCyNdEFD2wnBG6Z1/0Ysw==, figureFileBig=hFoIKhJdOFsp1fCzBW5PMw==, tableContent=null), ArticleFig(id=1319954921470935593, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=图3, caption=
3×3和4×4光波导阵列的制备。(a) 3×3焦点阵列的目标光场分布图;(b) 3×3波导阵列的端面显微镜图像;(c) TE偏振和(d) TM偏振下的模式分布图;(e) 4×4焦点阵列的目标光场分布图;(f) 4×4波导阵列的端面显微镜图像;(g) TE偏振和(h) TM偏振下的模式分布图, figureFileSmall=hwCyNdEFD2wnBG6Z1/0Ysw==, figureFileBig=hFoIKhJdOFsp1fCzBW5PMw==, tableContent=null), ArticleFig(id=1319954921554821674, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Fig.4, caption=
Fabrication of cladding waveguide with 8 tracks. (a) Designed target light field distribution for annularly arranged 8 foci; (b) Computed hologram; (c) Actual target light field distribution captured by CCD; (d) Cross-sectional view for cladding waveguide composed of 8 tracks; Mode distributions under (e) TE polarization and (f) TM polarization, figureFileSmall=i4QfLJl9d1a9IYUF2BHTYA==, figureFileBig=XJDUY5BbZwkwzkSOokkJRQ==, tableContent=null), ArticleFig(id=1319954921634513451, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=图4, caption=
轨迹数为8的包层光波导的制备。(a) 环形分布的8焦点目标光场分布设计图;(b)计算全息图;(c) CCD采集的光场实际分布图;(d) 8条轨迹构成的包层光波导的端面显微镜图像;(e) TE偏振和(f) TM偏振下的模式分布图, figureFileSmall=i4QfLJl9d1a9IYUF2BHTYA==, figureFileBig=XJDUY5BbZwkwzkSOokkJRQ==, tableContent=null), ArticleFig(id=1319954921705816620, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Fig.5, caption=
Fabrication of cladding waveguide with 10, 12, 14 and 16 tracks. (a1-a4) Designed patterns of annularly distributed foci with the number of 10, 12, 14 and 16; (b1-b4) Cross-sectional views of cladding waveguides composed of 10, 12, 14 and 16 tracks; Mode distributions under (c1-c4) TE polarization and (d1-d4) TM polarization, figureFileSmall=5NGMp1lcmhGc+oz2pqC/Ow==, figureFileBig=JbE8Qhi2JssMRDYs7/aCng==, tableContent=null), ArticleFig(id=1319954921768731181, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=图5, caption=
轨迹数为10,12,14,16的包层光波导的制备。(a1-a4)数量为10、12、14、16的环形分布焦点分布设计图;(b1-b4)轨迹数量为10、12、14、16的包层光波导端面显微镜图像;(c1-c4) TE偏振和(d1-d4) TM偏振下的模式分布图, figureFileSmall=5NGMp1lcmhGc+oz2pqC/Ow==, figureFileBig=JbE8Qhi2JssMRDYs7/aCng==, tableContent=null), ArticleFig(id=1319954921848422958, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Fig.6, caption=
Integrated fabrication of 1×9 beam splitter. (a) Schematic of 1×9 beam splitter; (b) Simulated target light field distribution for fabricating input cladding waveguide; (c) Computed hologram; (d) Actual light field distribution; (e) Cross-sectional view of input cladding waveguide composed of 16 tracks; (f) Output 3×3 type-I waveguide array; Output mode distributions of the beam splitter under (g) TE polarization and (h) TM polarization, figureFileSmall=Xaun794Yh9Ny0YzLri00TA==, figureFileBig=lD9CTbZFnzhO43PH1U74pQ==, tableContent=null), ArticleFig(id=1319954921949086255, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=图6, caption=
1×9分束器的集成制备。(a) 1×9分束器结构示意图;(b)输入端包层光波导制备对应的目标光场分布模拟图;(c)计算全息图;(d)目标光场实际分布图;(e)输入端16条轨迹构成的包层光波导端面图;(f)输出端3×3 I型光波导阵列端面图;分束器在(g) TE偏振和(h) TM偏振下的输出模式分布图, figureFileSmall=Xaun794Yh9Ny0YzLri00TA==, figureFileBig=lD9CTbZFnzhO43PH1U74pQ==, tableContent=null), ArticleFig(id=1319954922062332464, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=EN, label=Tab.1, caption=
Normalized splitting ratios of each output port of the 1×9 beam splitter (output ports are numbered from top to bottom and left to right)
, figureFileSmall=null, figureFileBig=null, tableContent=
| Port number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|
| Splitting ratio at TE polarization | 0.83 | 0.98 | 0.91 | 0.72 | 1.00 | 0.68 | 0.67 | 0.75 | 0.71 |
| Splitting ratio at TM polarization | 0.96 | 0.81 | 0.72 | 0.64 | 0.75 | 0.73 | 1.00 | 0.87 | 0.65 |
), ArticleFig(id=1319954922183967281, tenantId=1146029695717560320, journalId=1278651732997652489, articleId=1319954908325986795, language=CN, label=表1, caption=
1×9分束器各输出端口TE/TM 偏振分光比(输出端口按照从上至下、从左至右顺序编号)
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| Port number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|
| Splitting ratio at TE polarization | 0.83 | 0.98 | 0.91 | 0.72 | 1.00 | 0.68 | 0.67 | 0.75 | 0.71 |
| Splitting ratio at TM polarization | 0.96 | 0.81 | 0.72 | 0.64 | 0.75 | 0.73 | 1.00 | 0.87 | 0.65 |
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