Academic literature on the topic 'Sommerfeld integrals'

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Journal articles on the topic "Sommerfeld integrals"

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Chew, W. C. "Sommerfeld integrals for left-handed materials." Microwave and Optical Technology Letters 42, no. 5 (2004): 369–73. http://dx.doi.org/10.1002/mop.20307.

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Shanin, A. V., and A. I. Korolkov. "Sommerfeld-type integrals for discrete diffraction problems." Wave Motion 97 (September 2020): 102606. http://dx.doi.org/10.1016/j.wavemoti.2020.102606.

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Singh, Surendra, and Ritu Singh. "Computation of Sommerfeld integrals using tanh transformation." Microwave and Optical Technology Letters 37, no. 3 (2003): 177–80. http://dx.doi.org/10.1002/mop.10860.

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Dvorak, Steven L. "Numerical computation of 2D Sommerfeld integrals—Decomposition of the angular integral." Journal of Computational Physics 94, no. 1 (1991): 253–54. http://dx.doi.org/10.1016/0021-9991(91)90156-f.

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Dvorak, Steven L., and Edward F. Kuester. "Numerical computation of 2D sommerfeld integrals— Deccomposition of the angular integral." Journal of Computational Physics 98, no. 2 (1992): 199–216. http://dx.doi.org/10.1016/0021-9991(92)90138-o.

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Dvorak, Steven L., and Edward F. Kuester. "Numerical computation of 2D Sommerfeld integrals—decomposition of the angular integral." Journal of Computational Physics 98, no. 1 (1992): 178. http://dx.doi.org/10.1016/0021-9991(92)90184-z.

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Petrović, Vladimir V., and Antonije R. Djordjević. "General singularity extraction technique for reflected Sommerfeld integrals." AEU - International Journal of Electronics and Communications 61, no. 8 (2007): 504–8. http://dx.doi.org/10.1016/j.aeue.2006.08.006.

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Hubral, Peter, and Martin Tygel. "Transient response from a planar acoustic interface by a new point‐source decomposition into plane waves." GEOPHYSICS 50, no. 5 (1985): 766–74. http://dx.doi.org/10.1190/1.1441951.

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For the wave field of a point source in full space there currently exist two classical decompositions into plane waves. The wave field can be decomposed into either (a) homogeneous and horizontally propagating (vertically attenuated) inhomogeneous plane waves by using the so‐called Sommerfeld‐Weyl integral, or (b) upgoing and downgoing homogeneous plane waves only using the Whittaker integral. Transient representations of both integrals exist. We propose a new decomposition integral that has a greater flexibility than both classical decompositions. Solutions for the point‐source reflection/tra
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Petrovic, Vladimir, Aleksandra Krneta, and Branko Kolundzija. "Singularity extraction for reflected Sommerfeld integrals over multilayered media." Telfor Journal 6, no. 2 (2014): 137–41. http://dx.doi.org/10.5937/telfor1402137p.

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Annaert, G. "Evaluation of Sommerfeld integrals using Chebyshev decomposition (antenna analysis)." IEEE Transactions on Antennas and Propagation 41, no. 2 (1993): 159–64. http://dx.doi.org/10.1109/8.214606.

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Dissertations / Theses on the topic "Sommerfeld integrals"

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Orr, Andrew McLean White. "Computational techniques for evaluating extremely low frequency electromagnetic fields produced by a horizontal electric dipole in seawater." Thesis, King's College London (University of London), 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.326222.

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Cheng, Chin-Yuan. "Numerical electromagnetic modeling of a small aperture helical-fed reflector antenna." Ohio : Ohio University, 1998. http://www.ohiolink.edu/etd/view.cgi?ohiou1176838193.

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Ghaderi, Hazhar. "The Phase-Integral Method, The Bohr-Sommerfeld Condition and The Restricted Soap Bubble : with a proposition concerning the associated Legendre equation." Thesis, Uppsala universitet, Institutionen för fysik och astronomi, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-169572.

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After giving a brief background on the subject we introduce in section two the Phase-Integral Method of Fröman & Fröman in terms of the platform function of Yngve and Thidé. In section three we derive a different form of the radial Bohr-Sommerfeld condition in terms of the apsidal angle of the corresponding classical motion. Using the derived expression, we then show how easily one can calculate the exact energy eigenvalues of the hydrogen atom and the isotropic three-dimensional harmonic oscillator, we also derive an expression for higher order quantization condition. In section four we d
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Bezerra, Cardoso Maurício Henrique. "Modélisation de la propagation des ondes électromagnétiques près du sol : application aux réseaux sans fil." Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1035/document.

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Motivée par le développement de diverses applications déployant des antennes près d'une interface, comme les systèmes militaires UGS, les réseaux corporels sans fil BAN et la surveillance environnementale impliquant des capteurs au sol, cette thèse porte sur la modélisation de la propagation des ondes électromagnétiques près d'une interface. Tout d'abord, la méthode classique de l'optique géométrique est confrontée à des formules approchées fournies par Norton et par Bannister. Cette étude met en évidence les cas où l'optique géométrique ne décrit pas correctement la propagation près de la sur
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Books on the topic "Sommerfeld integrals"

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Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator
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Book chapters on the topic "Sommerfeld integrals"

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Castro, Luis P. "Solution of a Sommerfeld Diffraction Problem with a Real Wave Number." In Integral Methods in Science and Engineering. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8184-5_5.

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Rančić, Milica, Radoslav Jankoski, Sergei Silvestrov, and Slavoljub Aleksić. "Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral." In Engineering Mathematics I. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42082-0_3.

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"C Proof of lemma 2.1 used to derive the Bohr–Sommerfeld quantization condition." In Path Integrals in Physics. CRC Press, 2018. http://dx.doi.org/10.1201/9781315273358-10.

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"Evaluation of Sommerfeld-King Integrals for Surface-Wave Fields." In Monopole Antennas. CRC Press, 2003. http://dx.doi.org/10.1201/9780203912676.axc.

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Freeman, Richard, James King, and Gregory Lafyatis. "Diffraction and the Propagation of Light." In Electromagnetic Radiation. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198726500.003.0012.

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Geometric optics is considered and the eikonal equation is introduced. Krirchoff’s diffraction theory is presented with his integral theorem. Rayleigh–Sommerfeld diffraction is discussed and Fresnel’s approximation for the Kirchoff integrals and Babinet’s principle are given. Fraunhoffer diffraction is considered in detail, specifically diffraction by a rectangular and circular aperture. Special emphasis is given to the angular spectrum representation and its applications, including Gaussian beams, Fourier optics, and tight focusing of fields. Finally, the fields and modes of a tightly focused Gaussian beam are considered and the diffraction limits on microscopy are given.
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Conference papers on the topic "Sommerfeld integrals"

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Weng Cho Chew. "Sommerfeld integrals for LH materials." In IEEE Antennas and Propagation Society Symposium, 2004. IEEE, 2004. http://dx.doi.org/10.1109/aps.2004.1331894.

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Okhmatovski, V. I., and A. C. Cangellaris. "Computation of Sommerfeld integrals via rational function fitting." In IEEE Antennas and Propagation Society Symposium, 2004. IEEE, 2004. http://dx.doi.org/10.1109/aps.2004.1330215.

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Koufogiannis, Ioannis D., Athanasios G. Polimeridis, Michael Mattes, and Juan R. Mosig. "Real axis integration of Sommerfeld integrals with error estimation." In 2012 6th European Conference on Antennas and Propagation (EuCAP). IEEE, 2012. http://dx.doi.org/10.1109/eucap.2012.6206728.

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Knockaert, L., D. Vande Ginste, and D. De Zutter. "Some analytic results on sommerfeld integrals with branch points." In 2009 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2009. http://dx.doi.org/10.1109/iceaa.2009.5297472.

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Chatterjee, Deb, Michael S. Kluskens, and Sadasiva M. Rao. "Some investigations toward closed-form solutions of sommerfeld integrals." In 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2015. http://dx.doi.org/10.1109/usnc-ursi.2015.7303359.

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Wei, Yingkang, Bengt Holter, Ingve Simonsen, Jacob Kuhnle, Karsten Husby, and Lars Norum. "Calculation of Sommerfeld integrals for conductive media at low frequencies." In 2011 IEEE International Workshop on Electromagnetics; Applications and Student Innovation (iWEM). IEEE, 2011. http://dx.doi.org/10.1109/iwem.2011.6021473.

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Volskiy, Vladimir, Guy A. E. Vandenbosch, Athanasios G. Polimeridis, Juan R. Mosig, and Ruzica Golubovic Niciforovic. "KUL and EPFL cooperation on numerical integration of Sommerfeld integrals." In 2012 6th European Conference on Antennas and Propagation (EuCAP). IEEE, 2012. http://dx.doi.org/10.1109/eucap.2012.6206566.

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Durbhakula, Kalyan C., Deb Chatterjee, and Ahmed M. Hassan. "Studies on Numerical Evaluation of Sommerfeld Integrals for Multilayer Topologies." In 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2018. http://dx.doi.org/10.1109/apusncursinrsm.2018.8608980.

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Petrovic, Vladimir V., Aleksandra J. Krneta, and Branko M. Kolundzija. "Singularity extraction for reflected Sommerfeld integrals over a multilayered media." In 2013 21st Telecommunications Forum Telfor (TELFOR). IEEE, 2013. http://dx.doi.org/10.1109/telfor.2013.6716313.

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Chatterjee, D., S. M. Rao, and M. S. Kluskens. "Some new techniques for evaluating Sommerfeld integrals for microstrip antenna analysis." In 2016 URSI International Symposium on Electromagnetic Theory (EMTS). IEEE, 2016. http://dx.doi.org/10.1109/ursi-emts.2016.7571390.

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Reports on the topic "Sommerfeld integrals"

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Chatterjee, Deb, and Shaun D. Walker. Study of Sommerfeld and Phase-Integral Approaches for Green's Functions for PEC-terminated Inhomogeneous Media. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada514711.

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