Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens

Analytic expressions for the sinusoidal steady-state electromagnetic field associated with an ideal Veselago lens illuminated by either a line-source (2D case) or an electric dipole point-source (3D case) are obtained based on power flow considerations and the imposition of appropriate boundary cond...

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Autores principales: Marzieh Eini Keleshteri, Vladimir I. Okhmatovski, Joe Lovetri
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Lenguaje:EN
Publicado: IEEE 2021
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Acceso en línea:https://doaj.org/article/42398c963ab64047a28580b4c113bff4
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spelling oai:doaj.org-article:42398c963ab64047a28580b4c113bff42021-11-17T00:01:37ZAnalytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens2637-643110.1109/OJAP.2021.3121805https://doaj.org/article/42398c963ab64047a28580b4c113bff42021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9583585/https://doaj.org/toc/2637-6431Analytic expressions for the sinusoidal steady-state electromagnetic field associated with an ideal Veselago lens illuminated by either a line-source (2D case) or an electric dipole point-source (3D case) are obtained based on power flow considerations and the imposition of appropriate boundary conditions. The fields are written in terms of the standard free-space Green&#x2019;s function except that both incoming and outgoing waves are utilized. Expressions for the Poynting vector are also provided. Some components of the field suffer a complex-conjugate discontinuity across two <italic>power-transfer singularity planes</italic>, one within the lens and one through the external focus point, so named because all the power generated by the point-source transfers through a singular point on each plane. The internal <italic>power-transfer singular point</italic> and the illuminating point-source are equidistant from the first lens boundary, whereas the external singular point, i.e., the focus point, and the internal singular point are equidistant from the second lens boundary. These singularities represent different physical properties than the traditional source or sink singularities. The new interpretation based on the concise analytic field expressions clears up the physically objectionable interpretation of these singularities as representing new sources of energy: no new sources of energy exist in our representations.Marzieh Eini KeleshteriVladimir I. OkhmatovskiJoe LovetriIEEEarticleDouble-negativegreen’s functionmetamaterialsVeselago lensTelecommunicationTK5101-6720ENIEEE Open Journal of Antennas and Propagation, Vol 2, Pp 1057-1070 (2021)
institution DOAJ
collection DOAJ
language EN
topic Double-negative
green’s function
metamaterials
Veselago lens
Telecommunication
TK5101-6720
spellingShingle Double-negative
green’s function
metamaterials
Veselago lens
Telecommunication
TK5101-6720
Marzieh Eini Keleshteri
Vladimir I. Okhmatovski
Joe Lovetri
Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens
description Analytic expressions for the sinusoidal steady-state electromagnetic field associated with an ideal Veselago lens illuminated by either a line-source (2D case) or an electric dipole point-source (3D case) are obtained based on power flow considerations and the imposition of appropriate boundary conditions. The fields are written in terms of the standard free-space Green&#x2019;s function except that both incoming and outgoing waves are utilized. Expressions for the Poynting vector are also provided. Some components of the field suffer a complex-conjugate discontinuity across two <italic>power-transfer singularity planes</italic>, one within the lens and one through the external focus point, so named because all the power generated by the point-source transfers through a singular point on each plane. The internal <italic>power-transfer singular point</italic> and the illuminating point-source are equidistant from the first lens boundary, whereas the external singular point, i.e., the focus point, and the internal singular point are equidistant from the second lens boundary. These singularities represent different physical properties than the traditional source or sink singularities. The new interpretation based on the concise analytic field expressions clears up the physically objectionable interpretation of these singularities as representing new sources of energy: no new sources of energy exist in our representations.
format article
author Marzieh Eini Keleshteri
Vladimir I. Okhmatovski
Joe Lovetri
author_facet Marzieh Eini Keleshteri
Vladimir I. Okhmatovski
Joe Lovetri
author_sort Marzieh Eini Keleshteri
title Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens
title_short Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens
title_full Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens
title_fullStr Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens
title_full_unstemmed Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens
title_sort analytic sinusoidal steady-state electromagnetic field expressions for the ideal veselago lens
publisher IEEE
publishDate 2021
url https://doaj.org/article/42398c963ab64047a28580b4c113bff4
work_keys_str_mv AT marzieheinikeleshteri analyticsinusoidalsteadystateelectromagneticfieldexpressionsfortheidealveselagolens
AT vladimiriokhmatovski analyticsinusoidalsteadystateelectromagneticfieldexpressionsfortheidealveselagolens
AT joelovetri analyticsinusoidalsteadystateelectromagneticfieldexpressionsfortheidealveselagolens
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