Decomposition of the Point-Dipole Field into Homogeneous and Evanescent Parts

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Decomposition of the Point-Dipole Field into Homogeneous and Evanescent Parts. / Setälä, T.; Kaivola, M.; Friberg, A.

In: Physical Review E, Vol. 59, No. 1, 01.01.1999, p. 1200-1206.

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Setälä, T. ; Kaivola, M. ; Friberg, A. / Decomposition of the Point-Dipole Field into Homogeneous and Evanescent Parts. In: Physical Review E. 1999 ; Vol. 59, No. 1. pp. 1200-1206.

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@article{a508f67d64344afbad073c2358ace85d,
title = "Decomposition of the Point-Dipole Field into Homogeneous and Evanescent Parts",
abstract = "In near-field optics the resolution and sensitivity of measurements depend on the abundance of evanescent waves in relation to propagating waves. The electromagnetic field propagator is related to the scalar spherical wave, for which the Weyl expansion is a half-space representation containing both evanescent and homogeneous plane waves. Making use of these results, we decompose the dyadic free-space Green function into its evanescent and homogeneous parts and show that some approaches put forward in the literature are inconsistent with this formulation. We express the results in a form that is suitable for numerical computation and illustrate the field decomposition for a point dipole in some typical cases.",
keywords = "evanescent field, green function, point dipole, evanescent field, green function, point dipole, evanescent field, green function, point dipole",
author = "T. Set{\"a}l{\"a} and M. Kaivola and A. Friberg",
year = "1999",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.59.1200",
language = "English",
volume = "59",
pages = "1200--1206",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

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TY - JOUR

T1 - Decomposition of the Point-Dipole Field into Homogeneous and Evanescent Parts

AU - Setälä, T.

AU - Kaivola, M.

AU - Friberg, A.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - In near-field optics the resolution and sensitivity of measurements depend on the abundance of evanescent waves in relation to propagating waves. The electromagnetic field propagator is related to the scalar spherical wave, for which the Weyl expansion is a half-space representation containing both evanescent and homogeneous plane waves. Making use of these results, we decompose the dyadic free-space Green function into its evanescent and homogeneous parts and show that some approaches put forward in the literature are inconsistent with this formulation. We express the results in a form that is suitable for numerical computation and illustrate the field decomposition for a point dipole in some typical cases.

AB - In near-field optics the resolution and sensitivity of measurements depend on the abundance of evanescent waves in relation to propagating waves. The electromagnetic field propagator is related to the scalar spherical wave, for which the Weyl expansion is a half-space representation containing both evanescent and homogeneous plane waves. Making use of these results, we decompose the dyadic free-space Green function into its evanescent and homogeneous parts and show that some approaches put forward in the literature are inconsistent with this formulation. We express the results in a form that is suitable for numerical computation and illustrate the field decomposition for a point dipole in some typical cases.

KW - evanescent field

KW - green function

KW - point dipole

KW - evanescent field

KW - green function

KW - point dipole

KW - evanescent field

KW - green function

KW - point dipole

U2 - 10.1103/PhysRevE.59.1200

DO - 10.1103/PhysRevE.59.1200

M3 - Article

VL - 59

SP - 1200

EP - 1206

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

ER -

ID: 4887032