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On a Fast Integral Equation Method for diffraction gratings

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Communications in Computational Physics 2006年第6期1卷 984-1009页

作者： A.Rathsfeld G.Schmidt B.H.Kleemann Weierstrass Institute for Applied Analysis and Stochastics Mohrenstr.3910117 BerlinGermany Carl Zeiss AG Corporate Research and TechnologyOptical Design73446 OberkochenGermany

The integral equation method for the simulation of the diffraction by optical gratings is an efficient numerical tool if profile gratings determined by simple crosssection curves are *** method in its recent version is capable to tackle profile curves with corners,gratings with thin coated layers,and diffraction scenarios with unfavorably large ratio period over *** discuss special implementational issues including the efficient evaluation of the quasi-periodic Green kernels,the quadrature algorithm,and the iterative solution of the arising systems of linear ***,as an example we present the simulation of echelle gratings which demonstrates the efficency of our approach.

关键词： diffraction gratings integral equation method preconditioning

Efficient and Explicit Fourier Modal Method for Ultrathin Metallic gratings

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Chinese Journal of Electronics 2022年第6期31卷 1155-1160页

作者： LI Jie SHI Lihua JIN Xin ZHANG Qi RAN Yuzhou LEI Qi MA Yao LIU Yicheng XIAO Jie WANG Jianbao National Key Laboratory on Electromagnetic Environment Effects and Electro-optical Engineering Army Engineering University of PLA Dongbei University of Finance and Economics National Innovation Institute of Defense Technology Academy of Military Sciences Unit 31007 of the PLA Cangxi School Education Bureau of Xinhua County

The solution of large matrix eigenvalues and complex linear equations limits the Fourier modal method(FMM) application in ultrathin metallic gratings(UMG) analysis. This paper proposes an efficient and explicit FMM method for analyzing UMG. The proposed method avoids solving complex linear equations and eigenvalues of eigenmatrix in the conventional method by simplifying the implementation equations. Two numerical examples then verify the reliability of the proposed method compared with CST simulations and the conventional method. The proposed method is proven efficient in decreasing the CPU time by over 80% and demanding significantly less memory.

关键词： Fourier modal method application implementation equations efficient FMM method matrix eigenvalues explicit FMM method diffraction gratings Fourier transform optics ultrathin metallic grating analysis eigenvalues and eigenfunctions eigenmatrix CPU time complex linear equations matrix algebra

Silicon-on-Insulator-Based Compact Optical Demultiplexer Employing Etched diffraction Grating

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Chinese Physics Letters 2004年第7期21卷 1265-1267页

作者： WANGWen-Hui TANGYan-Zhe WANGYun-Xiang QUHong-Chang WUYa-Ming LITie YANGJian-Yi WANGYue-Lin LIUMing StateKeyLaboratoriesofTransducerTechnology ShanghaiInstituteofMicrosystemandInformationTechnologyChineseAcademyofSciencesShanghai200050 DepartmentofInformationScienceandElectronicsEngineering ZhejiangUniversityHangzhou310027 MicroelectronicsR&DCentre ChineseAcademyofSciencesBeijing100029

A compact optical demultiplexer with etched diffraction grating (EDG) is designed and fabricated on a silicon-on-insulator (SOI) material. Several 90° turning mirrors are used to bend the waveguides, and the size of the EDG-based demultiplexer is minimized to only 16×1.7mm2. The crosstalk is about -18dB. The on-chip loss is about 18.2dB, which is composed of about 16.9dB excess loss and 1.3dB diffraction loss. Measures to improve the performance are discussed.

关键词： diffraction gratings

Sensitivity Analysis of a Bioinspired Refractive Index Based Gas Sensor

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Journal of Bionic Engineering 2011年第3期8卷 323-334页

作者： Yang Gao Qi Xia Guanglan Liao Tielin Shi Wuhan National Laboratory for Optoelectronic Wuhan 430074 P. R. Chinao State Key Laboratory of Digital Manufacturing Equipment and Technology Huazhong University of Science and Technology Wuhan 430074 P. R. China

It was found out that the change of refractive index of ambient gas can lead to obvious change of the color of Morpho butterfly＇s wing. Such phenomenon has been employed as a sensing principle for detecting gas. In the present study, Rigorous Coupled-Wave Analysis （RCWA） was described briefly, and the partial derivative of optical reflection efficiency with respect to the refractive index of ambient gas, i.e., sensitivity of the sensor, was derived based on RCWA. A bioinspired grating model was constructed by mimicking the nanostructure on the ground scale of Morpho didius butterfly＇s wing. The analytical sensitivity was verified and the effect of the grating shape on the reflection spectra and its sensitivity were discussed. The results show that by tuning shape parameters of the grating, we can obtain desired reflection spectra and sensitivity, which can be applied to the design of the bioinspired refractive index based gas sensor.

关键词： bioinspired gas sensor sensitivity diffraction gratings refractive index subwavelength structures

Reflex optical sensor based on dual metal gratings with high angular sensitivity

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Chinese Optics Letters 2011年第6期9卷 17-20页

作者：许吉程晨白强陈璟丁剑平 Nanjing National Laboratory of Microstructures and School of Physics Nanjing University School of Physics and Key Laboratory of Weak Light Nonlinear Photonics Nankai University State Key Laboratory of Functional Materials for Informatics Shanghai Institute of Microsystem and Information Technology Chinese Academy of Sciences

An interesting reflection phenomenon in a dual metal grating （DMG） structure is studied, which is related to the competition between Fabry-Prot （F-P） resonance effect and evanescent-field coupling effect inside the gap between the two composing single metal gratings. This competition leads to high angular sensitivity in response to the refractive index variation of the sample solution in the gap. A reflex optical sensor with high sensitivity based on DMG for detecting the change in refractive index is proposed and its performance theoretically is discussed.

关键词： Competition diffraction gratings Light refraction Optical sensors Refractive index Refractometers

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Low-threshold mid-IR MgO:PPLN optical parametric generation with high reflectivity mirror for signal wavelength

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Chinese Optics Letters 2008年第3期6卷 204-206页

作者：张兴宝王月珠鞠有伦姚宝权张云军 Institute of Opto-Electronics Harbin Institute of Technology

A low-threshold middle-infrared （mid-IR） MgO：PPLN optical parametric generation （OPG） pumped by a laser diode （LD） end-pumped Z-type Nd：YLF laser at 1047 nm is realized with high reflectivity（HR） mirror for signal. At repetition rate of 10 kHz, the OPG threshold of 50 μJ has been achieved with HR mirror for signal. Compared with the threshold without mirror, the threshold decreases by 17%. Using HR mirror for pump at output side of crystal, the threshold of 40 μJ is achieved. The 2.7 - 4.1 μm continuous tunable output is produced with seven grating periods from 28.5 to 31.5 μm and temperatures from 30 to 200 ℃. When the incident average pump power is 3 W, the OPG idler output power is 0.46 W at 3.26 μm, which corresponds to optical-to-optical conversion efficiency up to 15.3%.

关键词： Conversion efficiency diffraction gratings Mirrors Pumping (laser) Semiconductor lasers Solid state lasers

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Multi-Mode Coupling in Long-Period Fibre gratings

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Chinese Physics Letters 2004年第8期21卷 1549-1552页

作者：刘子熹杨昌喜 DepartmentofPrecisionInstruments TsinghuaUniversityBeijing100084

We report multi-mode coupling in long-period fibre gratings (LPFGs). The analytical solution to three-mode coupling equations is presented for the first time. A 3×3 transmission matrix is attained and can be used to calculate the transmission spectra of nonuniform gratings in a way much faster than direct numerical integration. It is shown that when the resonant wavelengths of cladding modes are far from each other, two-mode coupling model can still be used. Otherwise we can only choose a multi-mode coupling model. Theoretically fitting of the result from the multi-mode coupling equations agrees well with the experimental one for mechanically-induced LPFGs.

关键词： diffraction gratings

Design and Fabrication of Six-Channel Complex-Coupled DFB Quantum Cascade Laser Arrays Based on a Sampled Grating

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Chinese Physics Letters 2014年第1期31卷 102-105页

作者：闫方亮张锦川姚丹阳谭松刘峰奇王利军王占国 Key Laboratory of Semiconductor Materials Science Institute of Semiconductors Chinese Academy of Sciences Beijing 100083 Beijing Key Laboratory of Low Dimensional Semiconductor Materials and Devices Beijing 100083

We designed and fabricated a six-channel complex-coupled distributed feedback （DFB） quantum cascade laser arrays based on a sampled Bragg grating. The six-channel DFB laser arrays exhibit a linear tuning range of 74nm centered at a wavelength of 7.55μm at room temperature. Robust single-mode emission with a side mode suppression ratio about 20 dB was observed, even at full power. The used sampled grating and reflectivity coating on the back facet lead to the peak output power varying from 55 to 82 m W with a small difference in slope efficiency from 100 to 128mW/A.

关键词： DISTRIBUTED feedback lasers diffraction gratings QUANTUM cascade lasers LASER arrays SEMICONDUCTOR laser arrays

Single order soft X-ray diffraction with quasi-random radius pinhole array spectroscopic photon sieves

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Chinese Physics B 2014年第4期23卷 342-346页

作者：张强强魏来杨祖华钱凤范全平张博谷渝秋曹磊峰 Research Center of Laser Fusion China Academy of Engineering Physics

A novel single order diffraction grating in the soft X-ray region, called quasi-random radius pinhole array spectro- scopic photon sieves （QRSPS）, is proposed in this paper. This new grating is composed of pinholes on a substrate, whose radii are quasi-random, while their centers are regular. Analysis proves that its transmittance function across the grating bar is similar to that of sinusoidal transmission gratings. Simulation results show that the QRSPS can suppress higher-order diffraction effectively. And the QRSPS would still retain its characteristic of single order diffraction when we take the effect of X-ray penetration into account. These properties indicate that the QRSPS can be used in the soft X-ray spectra measurement.

关键词： diffraction properties diffraction gratings soft X-rays single-order diffraction

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