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Relevant bibliographies by topics / Fourier modal method

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Academic literature on the topic 'Fourier modal method'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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Journal articles on the topic "Fourier modal method"

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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Fourier modal method"

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陶冬玲 and Dong-ling Tao. "Modal parameter identification for non-linear systems using the time-domain fourier filter output method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31236169.

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Tao, Dong-ling. "Modal parameter identification for non-linear systems using the time-domain fourier filter output method /." Hong Kong : University of Hong Kong, 1997. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19013310.

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Kaissar, Abboud Mira. "Modélisation électromagnétique des propriétés radiatives des micro-organismes de forme sphéroïdale." Thesis, Clermont-Ferrand 2, 2016. http://www.theses.fr/2016CLF22720/document.

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La production de carburants est possible à partir d’eau, d’énergie solaire et de CO2 par la voie de la photosynthèse artificielle. L’optimisation de ce processus est un thème de recherche de l’Institut Pascal. À la petite échelle contrôlant ce procédé, il est indispensable de déterminer les propriétés radiatives des microalgues photosynthétiques pour résoudre l’équation de transfert radiatif au sein des photobioréacteurs. La grande variété des micro-organismes liée à la forme, à l’élongation et aux paramètres de taille fait que la mise en œuvre des méthodes numériques existantes échoue pour des raisons de précision ou de capacité mémoire. De nombreuses communautés scientifiques se heurtent à ce problème d’électromagnétisme non encore résolu surtout pour les particules de grands paramètres de taille. Les travaux réalisés dans le cadre de cette thèse ont consisté à résoudre ce problème par la méthode modale de Fourier, une méthode numérique a priori développée et optimisée pour modéliser les problèmes de l’optique électromagnétique. Dans cette méthode, chaque micro-organisme est approché par un empilement de couches ce qui revient à approcher son profil par des marches d’escalier. L’approche proposée a été validée par comparaison avec les résultats disponibles dans la littérature. Une validation expérimentale des calculs théoriques a également été faite dans le domaine des micro-ondes grâce à une collaboration avec l’équipe HIPE de l’Institut Fresnel (Marseille, UMR 7249). Les résultats obtenus montrent la pertinence de la méthode développée
The production of fuels is possible from water, solar energy and CO2 through artificial photosynthesis. The optimization of this process is a research topic of Pascal Institute. At a small scale controlling this process, it is essential to determine the radiative properties of photosynthetic microalgae to solve the radiative transfer equation in photobioreactors. The wide variety of microorganisms related to the form, the elongation and size parameters make that the implementation of existing numerical methods fails because of lack of accuracy or memory. Many scientific communities face this problem of electromagnetism unresolved especially for particles of large size settings. The work achieved in this research is aimed at solving this problem by the Fourier modal method which is a numerical method first developed and optimized for modelling the electromagnetic optics problems. In this method, each microorganism is approached by a stack of layers which leads to replace the profile by the staircase approximation. The proposed approach was validated by comparison with results available in the literature. An experimental validation of theoretical calculations was also made in the microwave spectrum thanks to a collaboration with the HIPE team from Fresnel Institute (Marseille, UMR 7249). The results show the accomodation of the developed method

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Weiss, Thomas. "Advanced numerical and semi-analytical scattering matrix calculations for modern nano-optics." Thesis, Clermont-Ferrand 2, 2011. http://www.theses.fr/2011CLF22150.

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Les propriétés optiques des nanomatériaux, tels que les cristaux photoniques ou les métamatériaux, ont reçu beaucoup d’attention dans les dernières années [1–9]. La dérivation numérique de ces propriétés se révèle pourtant très compliquée, en particulier dans le cas des structures métallo-diélectriques, qui comportent des résonances plasmoniques. C’est pourquoi des méthodes numériques avancées et des modèles semi-analytiques sont nécessaires. Dans cette thèse, nous montrerons que le formalisme de la matrice de diffraction peut satisfaire ces deux aspects. La méthode de la matrice de diffraction est un concept très général en physique. Dans le cas des structures périodiques, on peut dériver la matrice de diffraction à l’aide de la méthode modale de Fourier [10]. Pour la description exacte des géométries planes, nous avons développé la méthode des coordonnées adaptées [11], qui nous donne un nouveau système de coordonnées, dans lequel les interfaces des matériaux sont des surfaces de coordonnées constantes. En combinaison avec la méthode de la résolution spatiale adaptative, la méthode des coordonnées adaptées permet d’améliorer considérablement la convergence de la méthode modale de Fourier, de telle sorte qu’on peut calculer des structures métalliques compliquées très efficacement. Si on utilise la matrice de diffraction, il est non seulement possible de dériver les propriétés optiques en illumination de champ lointain, comme la transmission, la réflexion, l’absorption, et le champ proche, mais aussi de décrire l’émission d’un objet à l’intérieur d’une structure et d’obtenir les résonances optiques d’un sytème. Dans cette thèse, nous présenterons une méthode efficace pour la dérivation des résonances optiques tridimensionnelles, utilisant directement la matrice de diffraction [14]. Si on connaît les résonances d’un système isolé, il est aussi possible d’obtenir une approximation des résonances dans le cas d’un système combiné à l’aide de notre méthode du couplage des résonances [15, 16]. Cette méthode permet de décrire le régime de couplage des champs lointain et proche, y compris le couplage fort avec les résonances Fabry-Perot, pour des systèmes qui se composent d’un empilement de deux structures planes et périodiques. Pour cette raison, on peut étudier efficacement le couplage de ces systèmes. Cette thèse est écrite de manière à donner une idée d’ensemble du formalisme de la matrice de diffraction et de la méthode modale de Fourier. En outre, nous décrivons notre généralisation de ces méthodes et nous montrons la validité de nos approches pour différents exemples
The optical properties of nanostructures such as photonic crystals and metamaterials have drawn a lot of attention in recent years [1–9]. The numerical derivation of these properties, however, turned out to be quite complicated, especially in the case of metallo-dielectric structures with plasmonic resonances. Hence, advanced numerical methods as well as semi-analytical models are required. In this work, we will show that the scattering matrix formalism can provide both. The scattering matrix approach is a very general concept in physics. In the case of periodic grating structures, the scattering matrix can be derived by the Fourier modal method [10]. For an accurate description of non-trivial planar geometries, we have extended the Fourier modal method by the concept of matched coordinates [11], in which we introduce a new coordinate system that contains the material interfaces as surfaces of constant coordinates. In combination with adaptive spatial resolution [12,13], we can achieve a tremendously improved convergence behavior which allows us to calculate complex metallic shapes efficiently. Using the scattering matrix, it is not only possible to obtain the optical properties for far field incidence, such as transmission, reflection, absorption, and near field distributions, but also to solve the emission from objects inside a structure and to calculate the optical resonances of a system. In this work, we provide an efficient method for the ab initio derivation of three-dimensional optical resonances from the scattering matrix [14]. Knowing the resonances in a single system, it is in addition possible to obtain approximated resonance positions for stacked systems using our method of the resonant mode coupling [15, 16]. The method allows describing both near field and far field regime for stacked two-layer systems, including the strong coupling to Fabry-Perot resonances. Thus, we can study the mutual coupling in such systems efficiently. The work will provide the reader with a basic understanding of the scattering matrix formalism and the Fourier modal method. Furthermore, we will describe in detail our extensions to these methods and show their validity for several examples

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Küchenmeister, Jens [Verfasser], and K. [Akademischer Betreuer] Busch. "Modeling of nano-photonic systems using the adaptive Fourier Modal Method and analytical dipole models / Jens Küchenmeister. Betreuer: K. Busch." Karlsruhe : KIT-Bibliothek, 2012. http://d-nb.info/102976462X/34.

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Zebrowski, Thomas [Verfasser], and K. [Akademischer Betreuer] Busch. "The Full Anisotropic Adaptive Fourier Modal Method and its Application to Periodic and Aperiodic Photonic Nanostructures / Thomas Zebrowski. Betreuer: K. Busch." Karlsruhe : KIT-Bibliothek, 2012. http://d-nb.info/1029764662/34.

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Fenniche, Ismail. "Etude de lentilles artificielles métalliques et métallo-diélectriques : modélisation par la méthode modale de Fourier et par la méthode des coordonnées curvilignes." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2010. http://tel.archives-ouvertes.fr/tel-00639720.

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Nous présentons un modèle théorique et numérique pour simuler la diffraction d'ondes électromagnétiques par des lentilles artificielles métalliques. Le premier chapitre présente les radars anti-collision dans le contexte automobile, le système d'antenne est composé d'une source primaire ponctuelle et d'une lentille artificielle. Cette dernière est réalisée de façon très simple en assemblant des lames métalliques minces sur des morceaux de mousse. Une méthode approchée permet d'obtenir rapidement le champ rayonné à travers une lentille par une source ponctuelle à l'aide des concepts d'optique géométrique et d'optique physique. Dans le second chapitre, deux variantes de la méthode modale sont proposées pour l'étude de la diffraction par des réseaux de lames parfaitement conductrices infiniment minces, une dite classique, décrit le champ à l'intérieur des guides parfaitement conducteurs à l'aide des modes de ces derniers, et l'autre considère que les guides forment un milieu inhomogène par morceaux. Les parois des guides sont vues comme des matériaux d'épaisseur très fine et très conducteurs. Numériquement, cet artifice est possible grâce à la technique de résolution spatiale adaptative aussi appelée formulation paramétrique. Dans le chapitre 3, l'ensemble des techniques présentées précédemment est appliqué aux lentilles. Un modèle numérique et électromagnétique est présenté où la lentille métallique est vue comme un empilement de réseaux lamellaires. Le champ global est obtenu en raccordant les modes de chaque couche. Une autre extension qui permet de modéliser des objets non périodiques est introduite : il s'agit d'un changement de coordonnées complexes qui produit des conditions aux limites absorbantes aux bords du domaine de calcul. Dans le chapitre 4, l'ensemble des techniques numériques développées plus haut est mis en oeuvre sur des cas concrets de lentilles artificielles et des comparaisons avec le modèle simplifié du chapitre 1 sont effectuées. Le chapitre 5 est également consacré à l'étude de lentilles. Cependant le domaine de longueur d'onde envisagé n'est plus le même puisqu'on passe dans le domaine optique. La notion de métal perd le sens qu'on lui donne habituellement. Le métal est caractérisé par une permittivité complexe dont la partie réelle peut être négative. Des modes nouveaux apparaissent. La méthode d'analyse retenue est encore une méthode modale. Pour tenir compte des profils d'entrée et de sortie de la lentille, on effectue un changement de coordonnée grâce auquel ces derniers deviennent des surfaces de coordonnées.

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Berta, Abaynesh. "Option Pricing using the Fast Fourier Transform Method." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-51058.

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The fast Fourier transform (FFT), even though it has been widely applicable in Physics and Engineering, it has become attractive in Finance as well for it’s enhancement of computational speed. Carr and Madan succeeded in implementing the FFT for pricing of an option. This project, inspired by Carr and Madan’s paper, attempts to elaborate and connect the various mathematical and theoretical concepts that are helpful in understanding of the derivation. Further, we derive the characteristic function of the risk neutral probability for the logarithmic terminal stock price. The Black-Scholes-Merton (BSM) model is also revised including derivation of the partial deferential equation and the formula. Finally, comparison of the BSM numerical implementation with and without the FFT method is done using MATLAB.

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Henigin, Matthew K. "An Investigation of numerical techniques for the fourier matching method acoustic scattering model." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2005. http://library.nps.navy.mil/uhtbin/hyperion/05Sep%5FHenigin.pdf.

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Thesis (M.S. in Meterology and Physical Oceanography)--Naval Postgraduate School, September 2005.
Thesis Advisor(s): D. Benjamin Reeder, John A. Colosi. Includes bibliographical references (p. 73-75). Also available online.

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Li, Xiang. "Mathematical Model for Current Transformer Based On Jiles-Atherton Theory and Saturation Detection Method." UKnowledge, 2016. http://uknowledge.uky.edu/ece_etds/89.

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Current transformer saturation will cause the secondary current distortion. When saturation occurs, the secondary current will not be linearly proportional to the primary current, which may lead to maloperation of protection devices. This thesis researches and tests two detecting methods: Fast Fourier Transform (FFT) and Wavelet Transform based methods. Comparing these two methods, FFT has a better performance in steady state saturation, and Wavelet Transform can determine singularity to provide the moment of distortion. The Jiles-Atherton (J-A) theory of ferromagnetic hysteresis is one approach used in electromagnetics transient modeling. With decades of development, the J-A model has evolved into different versions. The author summarizes the different models and implements J-A model in both MATLAB and Simulink.

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Books on the topic "Fourier modal method"

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Junghyun, Park, and Lee Byoungho, eds. Fourier modal method and its applications in computational nanophotonics. Boca Raton: Taylor & Francis, 2012.

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Kim, Hwi. Fourier modal method and its applications in computational nanophotonics. Boca Raton: Taylor & Francis, 2012.

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Kim, Hwi, Byoungho Lee, and Junghyun Park. Fourier Modal Method and Its Applications in Computational Nanophotonics. Taylor & Francis Group, 2017.

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Kim, Hwi, Byoungho Lee, and Junghyun Park. Fourier Modal Method and Its Applications in Computational Nanophotonics. Taylor & Francis Group, 2017.

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Kim, Hwi, Byoungho Lee, and Junghyun Park. Fourier Modal Method and Its Applications in Computational Nanophotonics. Taylor & Francis Group, 2017.

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Kim, Hwi, Byoungho Lee, and Junghyun Park. Fourier Modal Method and Its Applications in Computational Nanophotonics. Taylor & Francis Group, 2017.

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Kim, Hwi, Byoungho Lee, and Junghyun Park. Fourier Modal Method and Its Applications in Computational Nanophotonics. Taylor & Francis Group, 2017.

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Book chapters on the topic "Fourier modal method"

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Turunen, Jari, and Jani Tervo. "Fourier Modal Method and Its Applications to Inverse Diffraction, Near-Field Imaging, and Nonlinear Optics." In Fringe 2013, 25–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36359-7_3.

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Löwe, Johannes, Gert Lube, and Lars Röhe. "A Projection-Based Variational Multiscale Method for the Incompressible Navier–Stokes/Fourier Model." In Lecture Notes in Computational Science and Engineering, 167–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19665-2_18.

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Lewis, Ruthven N. A. H., and Ronald N. McElhaney. "Fourier Transform Infrared Spectroscopy in the Study of Lipid Phase Transitions in Model and Biological Membranes." In Methods in Membrane Lipids, 207–26. Totowa, NJ: Humana Press, 2007. http://dx.doi.org/10.1007/978-1-59745-519-0_14.

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Hwi, Kim, Park Junghyun, and Lee Byoungho. "Fourier Modal Method." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 65–136. CRC Press, 2017. http://dx.doi.org/10.1201/b11710-3.

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Hwi, Kim, Park Junghyun, and Lee Byoungho. "Local Fourier Modal Method." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 179–246. CRC Press, 2017. http://dx.doi.org/10.1201/b11710-5.

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Hwi, Kim, Park Junghyun, and Lee Byoungho. "Perspectives on the Fourier Modal Method." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 247–94. CRC Press, 2017. http://dx.doi.org/10.1201/b11710-6.

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"Perspectives on the Fourier Modal Method." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 247–94. CRC Press, 2012. http://dx.doi.org/10.1201/b11710-7.

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Hwi, Kim, Park Junghyun, and Lee Byoungho. "A Perfect Matched Layer for Fourier Modal Method." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 137–78. CRC Press, 2017. http://dx.doi.org/10.1201/b11710-4.

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Hwi, Kim, Park Junghyun, and Lee Byoungho. "Scattering Matrix Method for Multiblock Structures." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 7–64. CRC Press, 2017. http://dx.doi.org/10.1201/b11710-2.

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Hwi, Kim, Park Junghyun, and Lee Byoungho. "Introduction." In Fourier Modal Method and Its Applications in Computational Nanophotonics, 1–6. CRC Press, 2017. http://dx.doi.org/10.1201/b11710-1.

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Conference papers on the topic "Fourier modal method"

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Walz, Michael, Thomas Zebrowski, Jens Küchenmeister, Kurt Busch, and Dmitry N. Chigrin. "A B-Spline Modal Method in Comparison to the Fourier Modal Method." In THE FOURTH INTERNATIONAL WORKSHOP ON THEORETICAL AND COMPUTATIONAL NANOPHOTONICS: TaCoNa-Photonics 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3644250.

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Li, Lifeng. "Fourier modal method for crossed anisotropic gratings." In International Symposium on Optical Science and Technology, edited by Philippe Lalanne. SPIE, 2001. http://dx.doi.org/10.1117/12.451486.

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Liang, Peiying, Jianping Ding, Jianpei Xia, Yuhua Huang, and Hui Cao. "Fourier modal method for two-dimensional wavefront reconstruction." In Second International Conference on Photonics and Optical Engineering, edited by Chunmin Zhang and Anand Asundi. SPIE, 2017. http://dx.doi.org/10.1117/12.2257884.

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Li, Lifeng. "Modal method by Fourier expansion for modeling crossed gratings." In Photonics West '97, edited by Ivan Cindrich and Sing H. Lee. SPIE, 1997. http://dx.doi.org/10.1117/12.274421.

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Lalanne, Philippe, and Jean-Paul Hugonin. "Fourier modal method for the analysis of optical nano-devices." In Frontiers in Optics. Washington, D.C.: OSA, 2006. http://dx.doi.org/10.1364/fio.2006.fwc1.

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Bej, Subhajit, Jani Tervo, Jari Turunen, and Yuri P. Svirko. "Fourier modal method for crossed gratings with Kerr-type nonlinearity." In SPIE Photonics Europe, edited by Frank Wyrowski, John T. Sheridan, Jani Tervo, and Youri Meuret. SPIE, 2014. http://dx.doi.org/10.1117/12.2051744.

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Kim, Hwi, and Byoungho Lee. "Analysis of TIR holography using pseudo-Fourier modal analysis method." In SPIE Optics + Photonics, edited by Francis T. S. Yu, Ruyan Guo, and Shizhuo Yin. SPIE, 2006. http://dx.doi.org/10.1117/12.679327.

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Osterkryger, Andreas D., and Niels Gregersen. "Efficient formalism for treating tapered structures using the Fourier modal method." In SPIE Photonics Europe, edited by Frank Wyrowski, John T. Sheridan, and Youri Meuret. SPIE, 2016. http://dx.doi.org/10.1117/12.2225582.

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Osterkryger, Andreas D., Teppo Hayrynen, Jakob R. de Lasson, and Niels Gregersen. "Modelling open nanophotonic structures using the Fourier modal method in infinite domains." In 2017 Conference on Lasers and Electro-Optics Europe (CLEO/Europe) & European Quantum Electronics Conference (EQEC). IEEE, 2017. http://dx.doi.org/10.1109/cleoe-eqec.2017.8087723.

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Pisarenco, Maxim, Joseph Maubach, Irwan Setija, and Robert Mattheij. "An extended Fourier modal method for plane-wave scattering from finite structures." In SPIE Photonics Europe, edited by Frank Wyrowski, John T. Sheridan, Jani Tervo, and Youri Meuret. SPIE, 2010. http://dx.doi.org/10.1117/12.854420.

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