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Journal articles on the topic 'Fourier modal method'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Walz, Michael, Thomas Zebrowski, Jens Küchenmeister, and Kurt Busch. "B-spline modal method: A polynomial approach compared to the Fourier modal method." Optics Express 21, no. 12 (June 13, 2013): 14683. http://dx.doi.org/10.1364/oe.21.014683.

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2

Song, Dawei, Lijun Yuan, and Ya Yan Lu. "Fourier-matching pseudospectral modal method for diffraction gratings." Journal of the Optical Society of America A 28, no. 4 (March 21, 2011): 613. http://dx.doi.org/10.1364/josaa.28.000613.

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3

Granet, Gérard. "Fourier-matching pseudospectral modal method for diffraction gratings: comment." Journal of the Optical Society of America A 29, no. 9 (August 9, 2012): 1843. http://dx.doi.org/10.1364/josaa.29.001843.

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4

Song, Dawei, Lijun Yuan, and Ya Yan Lu. "Fourier-matching pseudospectral modal method for diffraction gratings: reply." Journal of the Optical Society of America A 29, no. 9 (August 9, 2012): 1846. http://dx.doi.org/10.1364/josaa.29.001846.

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5

Tkachenko, Sergey V., Juergen B. Nitsch, Felix Middelstaedt, Ronald Rambousky, Martin Schaarschmidt, and Ralf Vick. "Singularity Expansion Method for thin wires and the Method of Modal Parameters." Advances in Radio Science 17 (September 19, 2019): 177–87. http://dx.doi.org/10.5194/ars-17-177-2019.

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Abstract. Here, we describe a technique to define the Singularity Expansion Method (SEM) poles for short-circuited thin-wire structures developed using the Method of Modal Parameters (MoMP). The MoMP method consists of in the expansion of the system of mixed-potential integral equations (MPIE) into the Fourier series, including the kernels containing Green's function. Corresponding equations for Fourier modes contain infinite matrices of p.u.l. inductance and capacitance, and the solution for current can be obtained using the infinity matrix of p.u.l. impedance. The SEM poles are given by the zeros of the determinant of this matrix. For the case of the symmetrical circular loop, this equation transforms to one well-know from the literature. Numerical investigation of solutions for the poles of the first layer has shown good agreement with previously obtained analytical and numerical results for different wire configurations.

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6

Xi, Chen, Zhong Yuan, Wang Qing, Zhang Ye-Jin, and Chen Liang-Hui. "Study on tapered crossed subwavelength gratings by Fourier modal method." Chinese Physics B 19, no. 10 (October 2010): 104101. http://dx.doi.org/10.1088/1674-1056/19/10/104101.

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7

Küchenmeister, Jens. "Three-dimensional adaptive coordinate transformations for the Fourier modal method." Optics Express 22, no. 2 (January 14, 2014): 1342. http://dx.doi.org/10.1364/oe.22.001342.

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8

Park, Shin-woong, Gyunam Park, Youngbaek Kim, Joong Hwee Cho, Junho Lee, and Hwi Kim. "Through-focus scanning optical microscopy with the Fourier modal method." Optics Express 26, no. 9 (April 20, 2018): 11649. http://dx.doi.org/10.1364/oe.26.011649.

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9

Gushchin, Ivan, and Alexandre V. Tishchenko. "Fourier modal method for relief gratings with oblique boundary conditions." Journal of the Optical Society of America A 27, no. 7 (June 7, 2010): 1575. http://dx.doi.org/10.1364/josaa.27.001575.

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10

Lyndin, Nikolay M., Olivier Parriaux, and Alexander V. Tishchenko. "Modal analysis and suppression of the Fourier modal method instabilities in highly conductive gratings." Journal of the Optical Society of America A 24, no. 12 (November 21, 2007): 3781. http://dx.doi.org/10.1364/josaa.24.003781.

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11

Yulian, Eko. "Penanganan Endogenitas Modal Sosial Pada Pemodelan Kemiskinan Rumah Tangga di Indonesia Dengan Metode Two Probit Least Square (2PLS)." Jurnal Fourier 8, no. 1 (April 30, 2019): 19–26. http://dx.doi.org/10.14421/fourier.2019.81.19-26.

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Kemiskinan merupakan salah satu permasalahan mendasar yang telah menjadi perhatian utama berbagai negara di dunia termasuk Indonesia. Agar pengentasan kemiskinan berjalan efektif tentunya perlu diketahui dan diukur kuat pengaruh faktor-faktor yang mempengaruhi kemiskinan. Faktor-faktor tersebut diantaranya adalah modal SDM dan modal sosial. Untuk mengukur kontribusi faktor-faktor tersebut digunakan analisis regresi. Variabel bebas pada penelitian ini bersifat kategorik biner (1=miskin, 0=tidak) sehingga analisis regresi yang bisa digunakan adalah analisis regresi logistik dan probit. Penelitian ini menggunakan regresi probit untuk mengetahui pengaruh modal sosial dan modal SDM terhadap kemiskinan. Pada analisis regresi probit, asumsi yang harus dipenuhi adalah tidak adanya korelasi antara variabel bebas dan error pada model, apabila hal tersebut tidak terpenuhi maka akan muncul permasalahan yang disebut dengan endogenitas yang mengakibatkan hasil taksiran parameter yang dihasilkan bias. Pada penelitian ini diperoleh informasi bahwa variabel modal sosial merupakan variabel endogen sehingga digunakan metode Two Probit Least Square (2PLS) untuk mengatasi permasalahan endogenitas yang terjadi. Berdasarkan hasil regresi probit dengan menggunakan metode 2PLS diperoleh tiga variabel bebas yang berpengaruh negatif terhadap peluang rumah tangga menjadi miskin, variabel-variabel tersebut adalah modal sosial, lama sekolah dan umur. Sedangkan variabel ukuran rumah tangga berpengaruh positif terhadap peluang rumah tangga menjadi miskin di Indonesia. [Poverty is one of the fundamental problems. It has been a major concern of governments in various countries around the world, including Indonesia. In order for poverty alleviation to be effective, it is necessary to know and measured strongly the influence of factors affecting poverty. These factors include human capital and social capital. To measure the contribution of these factors is used regression analysis. The independent variables in this study are binary categorical (1=poor, 0=no) so that regression analysis that can be used is logistic and probit regression analysis. This research uses probit regression to know the influence of social capital and human capital to poverty. In the probit regression analysis, the assumption that must be met is the absence of correlation between the independent variable and error in the model, if it is not fulfilled then the problem will arise called endogeneity which can lead to bias parameter. In this study obtained information that social capital variable is an endogenous variable, so Two Probit Least Square (2PLS) method used to overcome the problem of endogeneity that happened. Based on the results of probit regression using 2PLS method obtained three independent variables that negatively affect the probability of households to be poor, these variables are social capital, school, and age. While the variable size of households positively affects the probability of households being poor in Indonesia.]

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12

Gao, Fuhua, Chengcheng Wang, Xionggui Tang, Chi Ma, Zheng Cui, and Yongkang Guo. "Near field analysis for periodic diffractive gratings using Fourier modal method." Microelectronic Engineering 83, no. 4-9 (April 2006): 1062–66. http://dx.doi.org/10.1016/j.mee.2006.01.044.

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13

Ben Rhouma, Maha. "Graphene based 1D photonic crystals bands via the Fourier Modal Method." Superlattices and Microstructures 111 (November 2017): 466–74. http://dx.doi.org/10.1016/j.spmi.2017.06.058.

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14

Rook, Ronald, Maxim Pisarenco, and Irwan D. Setija. "Near- to far-field transformation in the aperiodic Fourier modal method." Applied Optics 52, no. 28 (October 1, 2013): 6962. http://dx.doi.org/10.1364/ao.52.006962.

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15

Li, Ying, Haitao Liu, Hongwei Jia, Fang Bo, Guoquan Zhang, and Jingjun Xu. "Fully vectorial modeling of cylindrical microresonators with aperiodic Fourier modal method." Journal of the Optical Society of America A 31, no. 11 (October 15, 2014): 2459. http://dx.doi.org/10.1364/josaa.31.002459.

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16

Häyrynen, Teppo, Jakob Rosenkrantz de Lasson, and Niels Gregersen. "Open-geometry Fourier modal method: modeling nanophotonic structures in infinite domains." Journal of the Optical Society of America A 33, no. 7 (June 9, 2016): 1298. http://dx.doi.org/10.1364/josaa.33.001298.

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17

Weiss, Thomas, Gérard Granet, Nikolay A. Gippius, Sergei G. Tikhodeev, and Harald Giessen. "Matched coordinates and adaptive spatial resolution in the Fourier modal method." Optics Express 17, no. 10 (April 29, 2009): 8051. http://dx.doi.org/10.1364/oe.17.008051.

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18

Ma, Longxiang, and Weining Liu. "A numerical train–floating slab track coupling model based on the periodic-Fourier-modal method." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 232, no. 1 (September 23, 2016): 315–34. http://dx.doi.org/10.1177/0954409716668552.

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A numerical model based on the periodic-Fourier-modal method is proposed for the dynamic analysis of a train-floating slab track coupling system with random track irregularity. In the model, each vehicle of the train is modeled as a multiple-degree-of-freedom vibration system consisting of one car body, two bogies, four wheelsets, and two groups of spring-damper suspension devices. The floating slab track is modeled as a periodic-infinite structure with discrete supports and discontinuous slabs. Linear springs are used to couple the train and the track. In order to establish this numerical model, an efficient periodic approach named periodic-Fourier-modal method for solving the dynamic response of the floating slab track under a harmonic moving load is first developed. Based on this, a strategy is then proposed which can couple the moving train to the track with random irregularity and express the wheel–rail force as a superposition of a series of harmonic loads. With the solved wheel–rail force, the vehicle response can be directly calculated through vehicle dynamics, while track response can be calculated through the principle of superposition and the reuse of the initially proposed periodic-Fourier-modal method. Using this train–floating slab track coupling model, the solution of the dynamic response of the infinite track can be transformed to perform only within a single periodic range, which can save the calculation time significantly. The numerical results of the Beijing subway, based on the proposed model, are discussed in detail, and some important conclusions are drawn.

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19

Yang, J., H. F. Lam, and J. Hu. "Ambient Vibration Test, Modal Identification and Structural Model Updating Following Bayesian Framework." International Journal of Structural Stability and Dynamics 15, no. 07 (August 31, 2015): 1540024. http://dx.doi.org/10.1142/s0219455415400246.

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Structural health monitoring (SHM) of civil engineering structures based on vibration data includes three main components: ambient vibration test, modal identification and model updating. This paper discussed these three components in detail and proposes a general framework of SHM for practical application. First, a fast Bayesian modal identification method based on Fast Fourier Transform (FFT) is introduced for efficiently extracting modal parameters together with the corresponding uncertainties from ambient vibration data. A recently developed Bayesian model updating method using Markov chain Monte Carlo simulation (MCMCS) is then discussed. To illustrate the performance of the proposed modal identification and model updating methods, a scale-down transmission tower is investigated. Ambient vibration test is conducted on the target structure to obtain modal parameters. By using the measured modal parameters, model updating is carried out. The MCMC-based Bayesian model updating method can efficiently evaluate the posterior marginal PDFs of the uncertain parameters without calculating high-dimension numerical integration, which provides posterior uncertainties for the target systems.

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20

Küchenmeister, Jens, Thomas Zebrowski, and Kurt Busch. "A construction guide to analytically generated meshes for the Fourier Modal Method." Optics Express 20, no. 16 (July 16, 2012): 17319. http://dx.doi.org/10.1364/oe.20.017319.

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21

Deng, Hao, and Shuqiang Chen. "Efficient implementation of Fourier modal slice absorption method for lamellar crossed gratings." Optical Engineering 52, no. 6 (June 3, 2013): 068201. http://dx.doi.org/10.1117/1.oe.52.6.068201.

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22

Essig, Sabine, and Kurt Busch. "Generation of adaptive coordinates and their use in the Fourier Modal Method." Optics Express 18, no. 22 (October 20, 2010): 23258. http://dx.doi.org/10.1364/oe.18.023258.

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23

Granet, G., and B. Guizal. "Analysis of strip gratings using a parametric modal method by Fourier expansions." Optics Communications 255, no. 1-3 (November 2005): 1–11. http://dx.doi.org/10.1016/j.optcom.2005.06.018.

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24

Yala, Hakim, Brahim Guizal, and Didier Felbacq. "Fourier modal method with spatial adaptive resolution for structures comprising homogeneous layers." Journal of the Optical Society of America A 26, no. 12 (November 9, 2009): 2567. http://dx.doi.org/10.1364/josaa.26.002567.

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25

Li, Lifeng. "New formulation of the Fourier modal method for crossed surface-relief gratings." Journal of the Optical Society of America A 14, no. 10 (October 1, 1997): 2758. http://dx.doi.org/10.1364/josaa.14.002758.

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26

Bigourdan, Florian, Jean-Paul Hugonin, and Philippe Lalanne. "Aperiodic-Fourier modal method for analysis of body-of-revolution photonic structures." Journal of the Optical Society of America A 31, no. 6 (May 22, 2014): 1303. http://dx.doi.org/10.1364/josaa.31.001303.

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27

Granet, G$eacute$rard, and Jean-Pierre Plumey. "Parametric formulation of the Fourier modal method for crossed surface-relief gratings." Journal of Optics A: Pure and Applied Optics 4, no. 5 (August 14, 2002): S145—S149. http://dx.doi.org/10.1088/1464-4258/4/5/362.

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28

Deng, Hao, and Shuqiang Chen. "Convergence improvement of the Fourier modal slice absorption method for crossed gratings." Optik 126, no. 24 (December 2015): 5310–15. http://dx.doi.org/10.1016/j.ijleo.2015.09.027.

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29

Yang, Zhi-Bo, Maciej Radzienski, Pawel Kudela, and Wieslaw Ostachowicz. "Two-dimensional modal curvature estimation via Fourier spectral method for damage detection." Composite Structures 148 (July 2016): 155–67. http://dx.doi.org/10.1016/j.compstruct.2016.04.001.

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30

Yuen, Ka-Veng, and Lambros S. Katafygiotis. "Bayesian Fast Fourier Transform Approach for Modal Updating Using Ambient Data." Advances in Structural Engineering 6, no. 2 (May 2003): 81–95. http://dx.doi.org/10.1260/136943303769013183.

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The problem of identification of the modal parameters of a structural model using measured ambient response time histories is addressed. A Bayesian Fast Fourier Transform approach (BFFTA) for modal updating is presented which uses the statistical properties of the Fast Fourier transform (FFT) to obtain not only the optimal values of the updated modal parameters but also their associated uncertainties, calculated from their joint probability distribution. Calculation of the uncertainties of the identified modal parameters is very important when one plans to proceed with the updating of a theoretical finite element model based on modal estimates. The proposed approach requires only one set of response data in contrast to many of the existing frequency-based approaches which require averaging. It is found that the updated PDF can be well approximated by a Gaussian distribution centred at the optimal parameters at which the posterior PDF is maximized. Examples using simulated data are presented to illustrate the proposed method.

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31

Han, Jian Ping, and Pei Juan Zheng. "Modal Parameter Identification of a Rigid Frame-Continuous Girders Bridge under Ambient Excitation by Fast Bayesian FFT Method." Advanced Materials Research 639-640 (January 2013): 985–91. http://dx.doi.org/10.4028/www.scientific.net/amr.639-640.985.

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Bayesian theory is adopted in modal parameter identification, finite element model updating and residual capacity evaluation of the structures recently. Fast Bayesian FFT modal identification approach provides a rigorous way to obtain modal parameters and well-separated modes using the fast Fourier transform under ambient excitation. Moreover, it avoids choosing the modal order or removing false modes based on the stable diagram and has its obvious advantages. In this paper, modal parameters of a rigid frame-continuous girders bridge under ambient excitation are identified by this approach. Comparison with stochastic subspace identification (SSI) method indicates that Fast Bayesian FFT is a good approach to identify the modal parameters even for a large number of measurement channels.

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32

Chen Mingjun, 陈明君, 李明全 Li Mingquan, 姜文斌 Jiang Wenbin, and 姜伟 Jiang Wei. "Technology of anti-reflection coating of KDP crystal by using Fourier modal method." High Power Laser and Particle Beams 23, no. 2 (2011): 412–18. http://dx.doi.org/10.3788/hplpb20112302.0412.

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33

Kasztelanic, Rafał. "Amplitude filter and Fourier-based modal method for quality control of microlenses array." Optical Engineering 50, no. 4 (April 1, 2011): 043601. http://dx.doi.org/10.1117/1.3560259.

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34

Armaroli, Andrea, Alain Morand, Pierre Benech, Gaetano Bellanca, and Stefano Trillo. "Three-dimensional analysis of cylindrical microresonators based on the aperiodic Fourier modal method." Journal of the Optical Society of America A 25, no. 3 (February 13, 2008): 667. http://dx.doi.org/10.1364/josaa.25.000667.

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35

Gundu, Krishna Mohan, and Arash Mafi. "Constrained least squares Fourier modal method for computing scattering from metallic binary gratings." Journal of the Optical Society of America A 27, no. 11 (October 11, 2010): 2375. http://dx.doi.org/10.1364/josaa.27.002375.

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36

Félix, Simon, Agnès Maurel, and Jean-François Mercier. "Local transformation leading to an efficient Fourier modal method for perfectly conducting gratings." Journal of the Optical Society of America A 31, no. 10 (September 19, 2014): 2249. http://dx.doi.org/10.1364/josaa.31.002249.

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37

Fallahi, Arya, and Amin Enayati. "Modeling Pyramidal Absorbers Using the Fourier Modal Method and the Mode Matching Technique." IEEE Transactions on Electromagnetic Compatibility 58, no. 3 (June 2016): 820–27. http://dx.doi.org/10.1109/temc.2016.2533720.

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38

Zhou, Chuanhong, and Lifeng Li. "Formulation of the Fourier modal method for symmetric crossed gratings in symmetric mountings." Journal of Optics A: Pure and Applied Optics 6, no. 1 (September 25, 2003): 43–50. http://dx.doi.org/10.1088/1464-4258/6/1/009.

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39

Li, Lifeng. "Fourier modal method for crossed anisotropic gratings with arbitrary permittivity and permeability tensors." Journal of Optics A: Pure and Applied Optics 5, no. 4 (April 30, 2003): 345–55. http://dx.doi.org/10.1088/1464-4258/5/4/307.

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40

Vallius, Tuomas. "Comparing the Fourier modal method with the C method: analysis of conducting multilevel gratings in TM polarization." Journal of the Optical Society of America A 19, no. 8 (August 1, 2002): 1555. http://dx.doi.org/10.1364/josaa.19.001555.

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41

Vallius, Tuomas, and M. Honkanen. "Reformulation of the Fourier modal method with adaptive spatial resolution: application to multilevel profiles." Optics Express 10, no. 1 (January 14, 2002): 24. http://dx.doi.org/10.1364/oe.10.000024.

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42

Bai, Benfeng, and Lifeng Li. "Group-theoretic approach to enhancing the Fourier modal method for crossed gratings with C4symmetry." Journal of Optics A: Pure and Applied Optics 7, no. 12 (November 15, 2005): 783–89. http://dx.doi.org/10.1088/1464-4258/7/12/012.

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43

Weiss, Thomas, Nikolay A. Gippius, Sergei G. Tikhodeev, Gérard Granet, and Harald Giessen. "Acceleration of Parameter Studies in the Fourier Modal Method by Introducing Lateral Shift Matrices." Journal of Computational and Theoretical Nanoscience 8, no. 8 (August 1, 2011): 1625–30. http://dx.doi.org/10.1166/jctn.2011.1857.

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44

Küchenmeister, Jens. "Generalization and modularization of two-dimensional adaptive coordinate transformations for the Fourier modal method." Optics Express 22, no. 8 (April 10, 2014): 9404. http://dx.doi.org/10.1364/oe.22.009404.

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45

Pisarenco, Maxim, Joseph Maubach, Irwan Setija, and Robert Mattheij. "Modified S-matrix algorithm for the aperiodic Fourier modal method in contrast-field formulation." Journal of the Optical Society of America A 28, no. 7 (June 9, 2011): 1364. http://dx.doi.org/10.1364/josaa.28.001364.

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46

Guizal, B., H. Yala, and D. Felbacq. "Reformulation of the eigenvalue problem in the Fourier modal method with spatial adaptive resolution." Optics Letters 34, no. 18 (September 10, 2009): 2790. http://dx.doi.org/10.1364/ol.34.002790.

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47

Khavasi, Amin. "Fast convergent Fourier modal method for the analysis of periodic arrays of graphene ribbons." Optics Letters 38, no. 16 (August 7, 2013): 3009. http://dx.doi.org/10.1364/ol.38.003009.

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48

Häyrynen, Teppo, Andreas Dyhl Osterkryger, Jakob Rosenkrantz de Lasson, and Niels Gregersen. "Modeling open nanophotonic systems using the Fourier modal method: generalization to 3D Cartesian coordinates." Journal of the Optical Society of America A 34, no. 9 (August 23, 2017): 1632. http://dx.doi.org/10.1364/josaa.34.001632.

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49

Li, Lifeng. "Reformulation of the fourier modal method for surface-relief gratings made with anisotropic materials." Journal of Modern Optics 45, no. 7 (July 1998): 1313–34. http://dx.doi.org/10.1080/09500349808230632.

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50

Weiss, T., N. A. Gippius, S. G. Tikhodeev, G. Granet, and H. Giessen. "Efficient calculation of the optical properties of stacked metamaterials with a Fourier modal method." Journal of Optics A: Pure and Applied Optics 11, no. 11 (September 16, 2009): 114019. http://dx.doi.org/10.1088/1464-4258/11/11/114019.

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