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Keywords = microcavity lasers

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19 pages, 7474 KB  
Article
Effect of Picosecond Laser Diverse Scanning Strategies in Fabrication of Broadband AntiReflection Structures on Copper
by Jie Zhao, Zehao Cao, Yilongrui Chen and Zongtai He
Crystals 2026, 16(5), 296; https://doi.org/10.3390/cryst16050296 - 30 Apr 2026
Abstract
Broadband antireflective surface technology constitutes a crucial technique in optoelectronic devices, playing a key role in reducing optical losses. Ultrafast laser processing provides a flexible route for fabricating micro-nano structures on metallic surfaces because it enables efficient fabrication, high spatial resolution, and minimal [...] Read more.
Broadband antireflective surface technology constitutes a crucial technique in optoelectronic devices, playing a key role in reducing optical losses. Ultrafast laser processing provides a flexible route for fabricating micro-nano structures on metallic surfaces because it enables efficient fabrication, high spatial resolution, and minimal chemical consumption. This study uses a variable-angle scanning strategy to texture the copper surface, produce a series of antireflection arrayed micro-nano structures, and study the spectral reflectance characteristics of the copper surface. The results exhibit that 90° orthogonal scanning favors the formation of an arrayed microcone structure, which shows lower reflectance than the non-orthogonal scanning strategies in the 200–1300 nm band, with a minimum reflectance of 0.94%. The 60° and 45° cross-scanning based on the non-orthogonal strategy favors the formation of microcavity structures, and shows low reflectance in the 1300–2500 nm band, with the maximum reflectance remaining below 5%. Laser-induced periodic surface structures (LIPSS) are observed on the structures fabricated by all strategies. This work demonstrates that the scanning angle itself can be used to switch the dominant surface morphology and thereby tailor the spectral antireflection response, and lies in establishing a clear processing–structure–spectral response relationship for copper surfaces, which provides a designable route for wavelength-selective optical absorption in photothermal conversion, infrared detection, and sensing applications. Full article
(This article belongs to the Section Crystalline Metals and Alloys)
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10 pages, 2277 KB  
Article
Laser-Assisted Diamond Turning for Anisotropy Suppression in Calcium Fluoride
by Enbo Xing, Jinsong Xue, Rongbiao Yang, Mingyue Wang, Huimin Zhou, Guohui Xing, Jianglong Li, Jiamin Rong, Huanfei Wen, Jun Tang and Jun Liu
Micromachines 2026, 17(4), 425; https://doi.org/10.3390/mi17040425 - 30 Mar 2026
Viewed by 366
Abstract
This paper proposes the use of laser-assisted cutting technology to control the brittle–plastic transition of single-crystal CaF2 through local thermal softening, thereby suppressing its processing anisotropy. Nano-scratch experiments show that heating significantly increases the critical plastic cutting depth of each crystal plane [...] Read more.
This paper proposes the use of laser-assisted cutting technology to control the brittle–plastic transition of single-crystal CaF2 through local thermal softening, thereby suppressing its processing anisotropy. Nano-scratch experiments show that heating significantly increases the critical plastic cutting depth of each crystal plane and reduces the inter-plane differences. Based on this, laser-assisted ultra-precision turning was used to fabricate CaF2 optical microcavities with a surface roughness below 10 nm, achieving a maximum quality factor of ~7.79 × 107, and significantly reducing the performance differences among different crystal orientations. The research indicates that this method can effectively promote uniform plastic flow on each crystal plane, providing an effective approach for the high-performance and consistent fabrication of anisotropic brittle optical components. Full article
(This article belongs to the Special Issue Laser Micro/Nano Fabrication and Surface Modification Technology)
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24 pages, 4536 KB  
Review
Recent Progress in Gain Materials for Microlasers and Modern Digital Approaches for Biophotonics: From Dyes to Semiconductors
by Carlos A. Calles-Arriaga, Romeo Selvas-Aguilar, Arturo A. Castillo-Guzmán, Wilian J. Pech-Rodríguez, Enrique Rocha-Rangel, María T. Maldonado-Sada, José A. Rodríguez-García, José A. Castillo-Robles and Eddie N. Armendáriz-Mireles
Micromachines 2026, 17(3), 366; https://doi.org/10.3390/mi17030366 - 18 Mar 2026
Viewed by 524
Abstract
Microlasers are innovative photonics devices that have recently attracted attention for their unique characteristics, including compactness, broad spectral emission, and low lasing threshold. These properties are beneficial in biophotonics as these lasers can interact with biological materials without causing damage, especially for optical [...] Read more.
Microlasers are innovative photonics devices that have recently attracted attention for their unique characteristics, including compactness, broad spectral emission, and low lasing threshold. These properties are beneficial in biophotonics as these lasers can interact with biological materials without causing damage, especially for optical biosensing applications. Among the optical materials recently used as gain media in microlasers are organic dyes, rare-earth ions, fluorescent proteins, and semiconductors, including quantum dots and perovskites. Moreover, different optical cavities and current laser configurations have increased the versatility of microlasers. Recently, digital sensing methods based on novel algorithms, machine learning, and neural networks have been combined with microlaser systems to enhance their accuracy and expand their applications. This work provides a comprehensive review of recent progress in microlasers, covering gain media, microcavity types, and their applications in biophotonics, including conventional spectral-based sensing and new digital approaches for the biomedical field. Full article
(This article belongs to the Section B:Biology and Biomedicine)
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25 pages, 2851 KB  
Review
Whispering-Gallery-Mode Microcavity Lasers from Visible to Mid-Infrared: Applications
by Angzhen Li, Yindong Zhang and Xiaosong Lu
Photonics 2026, 13(2), 174; https://doi.org/10.3390/photonics13020174 - 10 Feb 2026
Cited by 1 | Viewed by 783
Abstract
Whispering-gallery-mode (WGM) microcavities, with their ultra-high quality factors and deeply confined mode volumes, provide strong light–matter interaction and underpin a broad range of emerging photonic technologies. Their capabilities now span high-sensitivity sensing, ultra-low-noise microwave and frequency-comb generation, integrated quantum light sources, narrow-linewidth microlasers, [...] Read more.
Whispering-gallery-mode (WGM) microcavities, with their ultra-high quality factors and deeply confined mode volumes, provide strong light–matter interaction and underpin a broad range of emerging photonic technologies. Their capabilities now span high-sensitivity sensing, ultra-low-noise microwave and frequency-comb generation, integrated quantum light sources, narrow-linewidth microlasers, and efficient nonlinear frequency conversion. As WGM devices advance toward greater practicality and integration, this paper reviews the research progress of WGM microcavity lasers across the visible to mid-infrared spectrum, which represents a key focus area, and discusses the challenges hindering their broader application. Full article
(This article belongs to the Special Issue Mid-IR Active Optical Fiber: Technology and Applications)
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11 pages, 1842 KB  
Article
Bidirectional Wavelength Tuning in an Optofluidic Fiber Microcavity Laser Directed by Rhodamine 6G and Co-Dopants
by Huimin Shi, Chao Wang, Lixia Wang, Limian Ren, Junjun Wu, Xinyu Men and Pan Wang
Photonics 2025, 12(12), 1147; https://doi.org/10.3390/photonics12121147 - 21 Nov 2025
Viewed by 582
Abstract
Achieving controllable wavelength tuning in optofluidic whispering gallery mode microcavity lasers is crucial for high-throughput, multi-sample, multiplexed biochemical sensing and multifunctional integrated photonic devices. This paper develops a bidirectionally wavelength-tunable optofluidic fiber whispering gallery mode microcavity laser driven by Rhodamine 6G co-doped with [...] Read more.
Achieving controllable wavelength tuning in optofluidic whispering gallery mode microcavity lasers is crucial for high-throughput, multi-sample, multiplexed biochemical sensing and multifunctional integrated photonic devices. This paper develops a bidirectionally wavelength-tunable optofluidic fiber whispering gallery mode microcavity laser driven by Rhodamine 6G co-doped with different acceptor dyes. Experimentally, a thin-walled silica ring inside a hollow-core anti-resonant fiber served as the optical microcavity, with a fixed 2.5 mM Rhodamine 6G co-doped with other dyes as the gain medium. The results revealed that when co-doped with Rhodamine B or Cy3, the single-longitudinal-mode laser emission wavelength exhibited a red shift with increasing co-dopant concentration. Conversely, when co-doped with Cy5, the laser output wavelength showed a distinct blue shift. This unique bidirectional tuning characteristic originates from the different fluorescence resonance energy transfer efficiencies between the co-dopants and Rhodamine 6G, and their competitive modulation of the system’s effective gain spectrum. The study offers a novel and flexible strategy for achieving wide-range, controllable wavelength tuning on a single laser platform, with significant potential for applications in biochemical sensing and multifunctional integrated photonic devices. Full article
(This article belongs to the Special Issue Research and Applications of Optical Fibers)
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8 pages, 419 KB  
Communication
Parallel DNA Molecular Analysis Platform Based on a Plano-Concave Fabry–Pérot Microcavity Laser Array
by Chan Seok Jun and Wonsuk Lee
Photonics 2025, 12(11), 1144; https://doi.org/10.3390/photonics12111144 - 20 Nov 2025
Viewed by 499
Abstract
We present a parallel DNA molecular analysis platform based on an array of plano-concave Fabry–Pérot (PC-FP) microcavity lasers that enables the simultaneous, sequence-specific detection of multiple DNA targets. Each PC-FP cavity is functionalized with a distinct probe DNA and integrated within a microfluidic [...] Read more.
We present a parallel DNA molecular analysis platform based on an array of plano-concave Fabry–Pérot (PC-FP) microcavity lasers that enables the simultaneous, sequence-specific detection of multiple DNA targets. Each PC-FP cavity is functionalized with a distinct probe DNA and integrated within a microfluidic channel, allowing localized hybridization and lasing emission upon optical pumping. When Cy3-labeled complementary targets were introduced, distinct lasing peaks emerged from corresponding cavities at ~607 nm, whereas single-base-mismatched sequences produced no measurable signal. The lasing threshold was approximately 0.6 µJ/mm2, confirming highly efficient optical feedback and cavity-enhanced signal amplification. The parallel operation of three PC-FP cavities demonstrated independent, multiplexed detection without optical crosstalk. The plano-concave geometry provides mode stability, compact alignment tolerance, and a tenfold reduction in threshold compared to flat FP mirrors. These results highlight the potential of PC-FP microcavity laser arrays as a scalable alternative to fluorescence-based assays, offering rapid, high-throughput DNA hybridization and melting analysis within a miniaturized solid-state architecture. Full article
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10 pages, 1407 KB  
Article
Sensitive Displacement Sensor Based on a Flexible Grating Random Laser
by Guang Dai, Yan Liu, Zhenzhen Shang, Yangjun Yan, Hui Peng and Heng Zhang
Nanomaterials 2025, 15(21), 1605; https://doi.org/10.3390/nano15211605 - 22 Oct 2025
Viewed by 661
Abstract
This study proposes and demonstrates a highly sensitive displacement sensor based on a flexible random laser. The sensor utilizes a polydimethylsiloxane (PDMS) film where a self-assembled surface grating structure is formed via oxygen plasma surface treatment combined with bending prestress. This structure acts [...] Read more.
This study proposes and demonstrates a highly sensitive displacement sensor based on a flexible random laser. The sensor utilizes a polydimethylsiloxane (PDMS) film where a self-assembled surface grating structure is formed via oxygen plasma surface treatment combined with bending prestress. This structure acts as a photon-trapping microcavity and multiple scattering feedback center, integrated with embedded laser dye PM597 as the gain medium to form a flexible grating random laser. Experiments show that the device generates random lasing emission under 532 nm pumping (threshold ~21 mJ/cm2) with a linewidth of ~0.25 nm and a degree of polarization of ~0.82. Applying micro-displacement alters the PDMS film curvature, subsequently changing the grating morphology (height, angle). This modifies photon trapping efficiency and geometric deflection loss within the equivalent resonator cavity, leading to significant modulation of the random laser output intensity. A linear correspondence between displacement and lasing intensity was established (R2 ≈ 0.91), successfully demonstrating displacement sensing functionality. This scheme not only provides a low-cost method for fabricating flexible grating random lasers but also leverages the extreme sensitivity of random lasing modes to local disordered structural changes, paving the way for novel high-sensitivity mechanical sensors and on-chip integrated photonic devices. Full article
(This article belongs to the Special Issue Laser–Nanostructure Interactions: From Fundamentals to Applications)
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15 pages, 1937 KB  
Article
Standing Wave Photon Structures in Constraint Spaces
by Donglin Zu
Photonics 2025, 12(9), 841; https://doi.org/10.3390/photonics12090841 - 22 Aug 2025
Cited by 1 | Viewed by 949
Abstract
Based on the single-photon structure model, the standing wave electric 4-photon (SWE4-P) composite, the standing wave magnetic 4-photon (SWM4-P) composite in one-dimensional longitudinal constraint space, and the standing wave 8-photon (SW8-P) composite structure in a laser microcavity are derived. The electromagnetic field of [...] Read more.
Based on the single-photon structure model, the standing wave electric 4-photon (SWE4-P) composite, the standing wave magnetic 4-photon (SWM4-P) composite in one-dimensional longitudinal constraint space, and the standing wave 8-photon (SW8-P) composite structure in a laser microcavity are derived. The electromagnetic field of the TM010 mode in a microwave cylindrical resonant cavity is studied and analyzed, and the photon structure basic unit of this mode is identified as the standing wave cylindrical 8-photon composite structure. The cylindrical photon is of the same size as the cavity volume, the photon volume being V = πR2L. The standing wave 8-photon composite structure contains an SWE4-P composite and an SWM4-P composite, with a phase difference of 90°. Therefor, the energy unit of the TM010 mode in the cavity is 8ω. Full article
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7 pages, 1290 KB  
Communication
Direct Nanoparticle Sensing in Liquids with Free-Space Excited Optical Whispering-Gallery-Mode Microresonators
by Davide D’Ambrosio, Saverio Avino and Gianluca Gagliardi
Sensors 2025, 25(16), 5111; https://doi.org/10.3390/s25165111 - 18 Aug 2025
Cited by 1 | Viewed by 1290
Abstract
Whispering-gallery-mode (WGM) microresonators are amongst the most promising optical sensors for detecting bio-chemical targets. A number of laser interrogation methods have been proposed and demonstrated over the last decade, based on scattering and absorption losses or resonance splitting and shift, harnessing the high-quality [...] Read more.
Whispering-gallery-mode (WGM) microresonators are amongst the most promising optical sensors for detecting bio-chemical targets. A number of laser interrogation methods have been proposed and demonstrated over the last decade, based on scattering and absorption losses or resonance splitting and shift, harnessing the high-quality factor and ultra-small volume of WGMs. Actually, regardless of the sensitivity enhancement, their practical sensing operation may be hampered by the complexity of coupling devices as well as the signalprocessing required to extract the WGM response. Here, we use a silica microsphere immersed in an aqueous environment and efficiently excite optical WGMs with a free-space visible laser, thus collecting the relevant information from the transmitted and back-scattered light without any optical coupler, fiber, or waveguide. We show that a 640-nm diode laser, actively frequency-locked on resonance, provides real-time, fast sensing of dielectric nanoparticles approaching the surface with direct analog readout. Thanks to our illumination scheme, the sensor can be kept in water and operate for days without degradation or loss of sensitivity. Diverse noise contributions are carefully considered and quantified in our system, showing a minimum detectable particle size below 1 nm essentially limited by the residual laser microcavity jitter. Further analysis reveals that the inherent laserfrequency instability in the short, -mid-term operation regime sets an ultimate bound of 0.3 nm. Based on this work, we envisage the possibility to extend our method in view of developing new viable approaches for detection of nanoplastics in natural water without resorting to complex chemical laboratory methods. Full article
(This article belongs to the Section Communications)
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10 pages, 2570 KB  
Article
Demonstration of Monolithic Integration of InAs Quantum Dot Microdisk Light Emitters and Photodetectors Directly Grown on On-Axis Silicon (001)
by Shuaicheng Liu, Hao Liu, Jihong Ye, Hao Zhai, Weihong Xiong, Yisu Yang, Jun Wang, Qi Wang, Yongqing Huang and Xiaomin Ren
Micromachines 2025, 16(8), 897; https://doi.org/10.3390/mi16080897 - 31 Jul 2025
Cited by 3 | Viewed by 1497
Abstract
Silicon-based microcavity quantum dot lasers are attractive candidates for on-chip light sources in photonic integrated circuits due to their small size, low power consumption, and compatibility with silicon photonic platforms. However, integrating components like quantum dot lasers and photodetectors on a single chip [...] Read more.
Silicon-based microcavity quantum dot lasers are attractive candidates for on-chip light sources in photonic integrated circuits due to their small size, low power consumption, and compatibility with silicon photonic platforms. However, integrating components like quantum dot lasers and photodetectors on a single chip remains challenging due to material compatibility issues and mode field mismatch problems. In this work, we have demonstrated monolithic integration of an InAs quantum dot microdisk light emitter, waveguide, and photodetector on a silicon platform using a shared epitaxial structure. The photodetector successfully monitored variations in light emitter output power, experimentally proving the feasibility of this integrated scheme. This work represents a key step toward multifunctional integrated photonic systems. Future efforts will focus on enhancing the light emitter output power, improving waveguide efficiency, and scaling up the integration density for advanced applications in optical communication. Full article
(This article belongs to the Special Issue Silicon-Based Photonic Technology and Devices)
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16 pages, 9618 KB  
Article
Scattering of Radiation by a Periodic Structure of Circular and Elliptical Microcavities in a Multimode Optical Waveguide
by Alexandra Yu. Petukhova, Anatolii V. Perminov, Mikhail A. Naparin and Victor V. Krishtop
Photonics 2025, 12(7), 727; https://doi.org/10.3390/photonics12070727 - 17 Jul 2025
Viewed by 944
Abstract
We developed a mathematical model to examine the scattering of radiation by a periodic structure of circular and elliptical microcavities formed in a planar optical waveguide. The waveguide simulates the behaviour of a 62.5/125 µm multimode optical fibre. The calculations focused on the [...] Read more.
We developed a mathematical model to examine the scattering of radiation by a periodic structure of circular and elliptical microcavities formed in a planar optical waveguide. The waveguide simulates the behaviour of a 62.5/125 µm multimode optical fibre. The calculations focused on the intensity distribution of scattered light with a wavelength of 1310 nm along the periodic structure, i.e., along the side surface of the waveguide, as a function of the microcavity dimensions and their spatial arrangement within the waveguide core. The optimal geometrical parameters of the microstructure, ensuring the most uniform light scattering, were identified. The model is valid for multimode optical fibres containing strictly periodic structures of microcavities with spherical or elliptical cross-sections that scatter laser radiation in all directions. One potential application of such fibres is as light sources in medical probes for surgical procedures requiring additional illumination and uniform irradiation of affected tissues. Furthermore, the findings of this study offer significant potential for the development of sensing elements for fibre-optic sensors. The findings of this study will facilitate the design of scattering structures with microcavities that ensure a highly uniform scattering pattern. Full article
(This article belongs to the Section Optical Interaction Science)
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11 pages, 4127 KB  
Article
Optimizing Semiconductor Saturable Absorption Mirrors Using Subwavelength Dielectric Gratings for Fiber Lasers
by Chaoqun Wei, Xiansheng Jia, Hongmei Chen, Boyuan Liu, Ziyang Zhang and Cheng Jiang
Photonics 2025, 12(3), 213; https://doi.org/10.3390/photonics12030213 - 28 Feb 2025
Cited by 2 | Viewed by 1474
Abstract
Ultrafast fiber lasers have shown exceptional performance across various domains, including material processing, medical applications, and optoelectronic communication. The semiconductor saturable absorber mirror (SESAM) is a key enabler of ultrafast laser operation. However, the narrow wavelength range and limited modulation depth of conventional [...] Read more.
Ultrafast fiber lasers have shown exceptional performance across various domains, including material processing, medical applications, and optoelectronic communication. The semiconductor saturable absorber mirror (SESAM) is a key enabler of ultrafast laser operation. However, the narrow wavelength range and limited modulation depth of conventional SESAMs pose challenges to further advancing ultrafast fiber laser technology. To address these limitations, we explored the integration of guided mode resonance (GMR) effects to enhance light–matter interaction within the absorption layer. By incorporating subwavelength dielectric film gratings onto the cap layer of SESAMs, we excited GMR and formed a microcavity structure in conjunction with the distributed Bragg mirror (DBR). This design significantly improved the absorption efficiency of InAs quantum dots. The experimental results demonstrate that the modulation depth of the SESAM increased from 6.7% to 17.3%, while the pulse width was reduced by 2.41 times. These improvements facilitated the realization of a high-quality, stable ultrafast fiber laser. This study not only broadens the application potential of ultrafast lasers in diverse fields but also offers a practical pathway for advancing SESAM technology toward industrial-scale deployment. Full article
(This article belongs to the Special Issue Fiber Lasers: Recent Advances and Applications)
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10 pages, 3672 KB  
Article
Random Plasmonic Laser Based on Bismuth/Aluminum/Yttria/Silver Co-Doped Silica Fiber with Microcavity Shaped Tip
by José Augusto de la Fuente León, Ma. Alejandrina Martínez Gámez, José Luis Lucio Martinez, Alexander V. Kir’yanov, Karim Gibrán Hernández Chahín and Mukul Chandra Paul
Fibers 2025, 13(2), 17; https://doi.org/10.3390/fib13020017 - 5 Feb 2025
Viewed by 1642
Abstract
In this study, we demonstrate a proof of principle of an all-fiber random laser due to the plasmonic effect. This was achieved with a fiber co-doped with bismuth/aluminum/yttria/silver in which a microsphere (microcavity) at the fiber’s tip was made using a splicing machine. [...] Read more.
In this study, we demonstrate a proof of principle of an all-fiber random laser due to the plasmonic effect. This was achieved with a fiber co-doped with bismuth/aluminum/yttria/silver in which a microsphere (microcavity) at the fiber’s tip was made using a splicing machine. The presence of bismuth and silver nanoparticles in the fiber along with bismuth–aluminum phototropic centers stands behind the observed phenomenon. The effect can be attributed to the in-pair functioning of this unit as an active medium and volumetric plasmonic feedback, resulting in lasing at 807 nm under 532 nm pumping with a notably low (~2 mW) threshold. Full article
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11 pages, 2763 KB  
Article
Random Emission and Control of Whispering Gallery Mode Using Flexible Optical Fiber
by Bingyang Cao, Zhen He and Weili Zhang
Photonics 2025, 12(1), 29; https://doi.org/10.3390/photonics12010029 - 1 Jan 2025
Cited by 1 | Viewed by 2015
Abstract
Axially uniform optical fibers provide a low-cost, scalable platform for the emission of whispering gallery mode (WGM) lasers. This paper proposes a method for generating and controlling WGM lasers based on the design of a flexible optical fiber array structure. By adjusting the [...] Read more.
Axially uniform optical fibers provide a low-cost, scalable platform for the emission of whispering gallery mode (WGM) lasers. This paper proposes a method for generating and controlling WGM lasers based on the design of a flexible optical fiber array structure. By adjusting the spacing between the flexible fibers, the coupling relationship between different WGM modes is modulated, achieving a transition from regular to random WGM (R-WGM) mechanisms. Additionally, the application of this laser in information security encryption is demonstrated and explored. Full article
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12 pages, 4728 KB  
Article
A Widely and Continuously Tunable Single-Mode Transmitter Based on a Hybrid Microcavity Laser
by Miao-Qing Wang, Bin Zhang, Zhen-Ning Zhang, You-Zeng Hao, Zun-Hao Hu, Yue-De Yang, Jin-Long Xiao, António L. Teixeira and Yong-Zhen Huang
Photonics 2024, 11(11), 1080; https://doi.org/10.3390/photonics11111080 - 17 Nov 2024
Viewed by 1899
Abstract
A method for achieving the single-mode and efficient unidirectional emission of a whispering gallery mode (WGM) semiconductor laser is presented herein. Hybrid square-rectangular lasers (HSRLs) and hybrid square/rhombus-rectangular lasers (HSRRLs) consisting of a Fabry–Pérot (FP) cavity and a square or rhombus cavity microcavity [...] Read more.
A method for achieving the single-mode and efficient unidirectional emission of a whispering gallery mode (WGM) semiconductor laser is presented herein. Hybrid square-rectangular lasers (HSRLs) and hybrid square/rhombus-rectangular lasers (HSRRLs) consisting of a Fabry–Pérot (FP) cavity and a square or rhombus cavity microcavity are described. In addition, a transmitter optical subassembly (TOSA) based on an HSRRL chip was fabricated, which has a wide and continuous wavelength tuning range. Wavelength channels from 1555.75 nm to 1568.15 nm with a spacing of 50 GHz were demonstrated with a good side mode suppression ratio (SMSR) and good output power. These devices have the potential to meet the typical requirements of optical communication networks. Full article
(This article belongs to the Special Issue Advanced Lasers and Their Applications, 2nd Edition )
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