Frentes de onda electromagnéticos como superficies de discontinuidad en medios anisótropos. Una nueva analogía mecánica: hojas de vórtices

C. Bellver-Cebreros, M. Rodríguez-Danta


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Información básica

Volumen

V56 - N4 / 2023 Ordinario

Referencia

51151

DOI

http://dx.doi.org/10.7149/OPA.56.4.51151

Idioma

English

Etiquetas

Dielectric anisotropy, magnetic anisotropy, wave-fronts, eikonal, thin plate, vortex sheet, optical-mechanical analogies, electromagnetic couple density

Resumen

Under the hypothesis of electromagnetic waves propagation in inhomogeneous linear media with dielectric and magnetic anisotropy (in the absence of free charges and currents), analogies are presented between several discontinuity surfaces and wave-front propagation in these media. In particular, the "vortex sheet" model, borrowed from Fluid Mechanics is discussed.

Referencias

1

H.S. Green, E. Wolf, “A scalar representation of Electromagnetic Fields”, Proc. Phys. Soc. A 66, 1129-1137 (1953).

2

E. W. Weisstein, “Argand Diagram”, Wolfram-Math World, https://mathworld.wolfram.com/ Argand Diagram.html and references therein.

3

J. F. Nye, M. V. Berry, “Dislocations in wave trains”, Proc. R. Soc. Lond. A 336, 165-190 (1974).

4

M. V. Berry, "Optical Currents”, J. Opt. A: Pure Appl. Opt. 11, 094001 (2009).

5

W. Wang, K. Chiba, S. Hanson, M. Takeda, “Vortex Sheets in optical and coherence fields” in Proceedings of SPIE 6905 Complex Light and Optical Forces II, 690506 (2008).

6

M. V. Berry, M. R. Dennis, “Phase Singularities in isotropic random waves”, Proc. R. Soc. Lond. A 456, 2059-2079 (2000).

7

R. González-Acuña, S. Thibaut, “Exact vectorial model for non-paraxial focusing of freeform wave-fronts”, Opt. Express 30, 13, 23656-23663 (2022).

8

C. Bellver-Cebreros, M. Rodríguez-Danta, “On inhomogeneous metamaterials media: A new alternative method for analysis of electromagnetic field propagation”, Progress in Electromagnetics Research P.I.E.R. 149, 101-108 (2014).

9

C. Bellver-Cebreros, M. Rodríguez-Danta, “Anisotropic linear media: Opto-mechanical analogies between discontinuity surfaces”, J. Opt. Soc. Am. A (JOSA A) 36, 89-95 (2019).

10

E. Durand, Électrostatique et Magnétostatique. Paris, Masson Cie. (1953).

11

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media. Oxford, Pergamon (1984).

12

R. K. Luneburg, Mathematical Theory of Optics. Berkeley, University of California Press (1964).

13

Y.C. Fung, Foundations of Solid Mechanics. Englewood, Prentice Hall (1965).

14

L. D. Landau, E. M. Lifshitz, Fluid Mechanics. Course of Theoretical Physics, Vol.6, Chapter VII. Oxford, Pergamon (1987).

15

L. M. Milne-Thomson, Theoretical Hydrodynamics 5th Ed. New York, Dover (2013).