Academic literature on the topic 'Space-time analogy by transformation optics'

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Journal articles on the topic "Space-time analogy by transformation optics"

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Amra, C., D. Petiteau, M. Zerrad, et al. "Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2183 (2015): 20150143. http://dx.doi.org/10.1098/rspa.2015.0143.

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A new analogy between optical propagation and heat diffusion in heterogeneous anisotropic media has been proposed recently by three of the present authors. A detailed derivation of this unconventional correspondence is presented and developed. In time harmonic regime, all thermal parameters are related to optical ones in artificial metallic media, thus making possible to use numerical codes developed for optics. Then, the optical admittance formalism is extended to heat conduction in multilayered structures. The concepts of planar microcavities, diffraction gratings and planar transformation o
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Rajabalipanah, Hamid, Ali Abdolali, Shahid Iqbal, Lei Zhang, and Tie Jun Cui. "Analog signal processing through space-time digital metasurfaces." Nanophotonics 10, no. 6 (2021): 1753–64. http://dx.doi.org/10.1515/nanoph-2021-0006.

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Abstract In the quest to realize analog signal processing using subwavelength metasurfaces, in this paper, we present the first demonstration of programmable time-modulated metasurface processors based on the key properties of spatial Fourier transformation. Exploiting space-time coding strategy enables local, independent, and real-time engineering of not only amplitude but also phase profile of the contributing reflective digital meta-atoms at both central and harmonic frequencies. Several illustrative examples are demonstrated to show that the proposed multifunctional calculus metasurface is
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HENKEL, MALTE. "AGEING, DYNAMICAL SCALING AND CONFORMAL INVARIANCE." International Journal of Modern Physics A 19, no. 14 (2004): 2207–15. http://dx.doi.org/10.1142/s0217751x04018440.

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Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space–time symmetries of certain nonlocal free field theories. The scaling form of two-point functions is completely fixed by the requirement of local scale invariance. These predictions are confirmed through tests in the 3D ANNNI model at its Lifshitz point and in ageing phenomena of simple ferromagnets, here studied through the kinetic Ising model with Glauber dynamics.
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CASTRO, CARLOS. "p-BRANES AS COMPOSITE ANTISYMMETRIC TENSOR FIELD THEORIES." International Journal of Modern Physics A 13, no. 08 (1998): 1263–92. http://dx.doi.org/10.1142/s0217751x98000597.

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p′-brane solutions to rank p+1 composite antisymmetric tensor field theories of the kind developed by Guendelman, Nissimov and Pacheva are found when the dimensionality of space–time is D=(p+1)+(p′+1). These field theories possess an infinite-dimensional group of global Noether symmetries, that of volume-preserving diffeomorphisms of the target space of the scalar primitive field constituents. Crucial in the construction of p′ brane solutions are the duality transformations of the fields and the local gauge field theory formulation of extended objects given by Aurilia, Spallucci and Smailagic.
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CASTRO, CARLOS. "THE SPINNING MEMBRANE, SUPER-SU(∞)-GAUGE THEORIES AND MOYAL BRACKETS." International Journal of Modern Physics A 07, no. 03 (1992): 535–61. http://dx.doi.org/10.1142/s0217751x92000247.

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Several important topics concerning the membrane and its symmetries are discussed. The fact that a space–time-independent Lagrangian density for a gauge-field configuration of a (d – 1)-dimensional SU (∞) super Yang–Mills theory, reduced to one dimension (time), is equivalent to a Green–Schwarz formalism of the Euclidean Eguchi–Schild string action in d – 1 dimensions, naturally raises the question whether one can construct a Neveu–Ramond–Schwarz analog. The answer is in the negative; the world-sheet supersymmetric extension of the Eguchi–Schild action for the string cannot be viewed as a clas
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Lancis, Jesús, Víctor Torres-Company, Enrique Silvestre, and Pedro Andrés. "Space–time analogy for partially coherent plane-wave-type pulses." Optics Letters 30, no. 22 (2005): 2973. http://dx.doi.org/10.1364/ol.30.002973.

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TARTAGLIA, ANGELO. "SPACE-TIME DEFECTS AS A SOURCE OF CURVATURE AND TORSION." International Journal of Modern Physics A 20, no. 11 (2005): 2336–40. http://dx.doi.org/10.1142/s0217751x05024596.

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Space time is described as a continuum four-dimensional medium similar to ordinary elastic continua. Exploiting the analogy internal stress states are considered. The internal "stress" is originated by the presence of defects. The defects are described according to the typical Volterra process. The case of a point defect in an otherwise isotropic four-dimensional medium is discussed showing that the resulting metric tensor corresponds to an expanding (or contracting) universe filled up with a non-zero energy-momentum density.
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HENNI, A. A., and M. LAGRAA. "THE FLUX OF NONCOMMUTATIVE U(1) INSTANTON THROUGH THE FUZZY SPHERES." International Journal of Modern Physics A 21, no. 23n24 (2006): 4913–29. http://dx.doi.org/10.1142/s0217751x06031491.

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From the ADHM construction on noncommutative [Formula: see text] vector space, we investigate different U(1) instanton solutions tied by partial isometry transformations. We recast these solutions under a form of vector fields in noncommutative [Formula: see text] vector space which makes possible the calculus of their fluxes through fuzzy spheres. For this end, we establish the noncommutative analog of Gauss theorem from which we show that the flux of the U(1) instantons through fuzzy spheres does not depend on the radius of these spheres and it is invariant under partial isometry transformat
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TARTAGLIA, A. "COSMIC DEFECT COSMOLOGY." International Journal of Modern Physics A 24, no. 08n09 (2009): 1620–24. http://dx.doi.org/10.1142/s0217751x0904511x.

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The accelerated expansion of the universe is interpreted as an effect of a defect in space-time treated as a four-dimensional continuum endowed with physical properties. The analogy is with texture defects in material continua, like dislocations and disclinations, described in terms of a singular displacement vector field. A Lagrangian for empty space-time is proposed exploiting one further analogy between the phase space of a Robertson-Walker universe and the phase space of a point particle moving across an homogeneous isotropic medium. The model, named Cosmic Defect theory, produces, as a by
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Kazemzadeh, Mohammadrahim, Weiliang Xu, and Neil G. R. Broderick. "Faster and More Accurate Time Domain Electromagnetic Simulation Using Space Transformation." IEEE Photonics Journal 12, no. 4 (2020): 1–13. http://dx.doi.org/10.1109/jphot.2020.3005704.

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Dissertations / Theses on the topic "Space-time analogy by transformation optics"

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Sahebdivan, Sahar. "The enigma of imaging in the Maxwell fisheye medium." Thesis, University of St Andrews, 2016. http://hdl.handle.net/10023/9894.

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The resolution of optical instruments is normally limited by the wave nature of light. Circumventing this limit, known as the diffraction limit of imaging, is of tremendous practical importance for modern science and technology. One method, super-resolved fluorescence microscopy was distinguished with the Nobel Prize in Chemistry in 2014, but there is plenty of room for alternatives and complementary methods such as the pioneering work of Prof. J. Pendry on the perfect lens based on negative refraction that started the entire research area of metamaterials. In this thesis, we have used analyti
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Books on the topic "Space-time analogy by transformation optics"

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Coopersmith, Jennifer. Hamiltonian Mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198743040.003.0007.

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Hamilton’s genius was to understand what were the true variables of mechanics (the “p − q,” conjugate coordinates, or canonical variables), and this led to Hamilton’s Mechanics which could obtain qualitative answers to a wider ranger of problems than Lagrangian Mechanics. It is explained how Hamilton’s canonical equations arise, why the Hamiltonian is the “central conception of all modern theory” (quote of Schrödinger’s), what the “p − q” variables are, and what phase space is. It is also explained how the famous conservation theorems arise (for energy, linear momentum, and angular momentum),
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Conference papers on the topic "Space-time analogy by transformation optics"

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Kinsler, Paul, Jonathan Gratus, Martin W. McCall, and Robert T. Thompson. "Dispersion in space-time transformation optics." In 2016 URSI International Symposium on Electromagnetic Theory (EMTS). IEEE, 2016. http://dx.doi.org/10.1109/ursi-emts.2016.7571396.

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Namazi, Nader, Kenneth Grant, Ray Burris, et al. "Demodulation of analog data in free-space optical communication systems using discrete wavelet transformation." In SPIE Optics + Photonics. SPIE, 2006. http://dx.doi.org/10.1117/12.679062.

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Ginis, V., P. Tassin, B. Craps, and I. Veretennicoff. "Time dependent transformation optics: Frequency conversion using the optical analogue of the robertson-walker universe." In 12th European Quantum Electronics Conference CLEO EUROPE/EQEC. IEEE, 2011. http://dx.doi.org/10.1109/cleoe.2011.5943640.

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Galileiskii, Viktor P., Alexey I. Elizarov, Dmitrii V. Kokarev, and Aleksandr M. Morozov. "Space-time transformation sky brightness at a horizontal position of the sun." In XXI International Symposium Atmospheric and Ocean Optics. Atmospheric Physics, edited by Oleg A. Romanovskii. SPIE, 2015. http://dx.doi.org/10.1117/12.2205339.

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