dorsal/arxiv
View SchemaSpatial Correlation Functions of Random Electromagnetic Fields in the Presence of a Semi-Infinite Isotropic Medium
| Authors | Luk R. Arnaut |
|---|---|
| Categories | |
| ArXiv ID | physics/0611053 |
| URL | https://arxiv.org/abs/physics/0611053 |
| DOI | 10.1103/PhysRevE.74.056610 |
Abstract
We extend a previous analysis of spatial correlation functions for classical electromagnetic vector fields near a perfectly conducting boundary [PRE, vol. 73, 036604 (2006)] to the case of an isotropic semi-infinite medium with planar interface and characterized by a first-order impedance boundary condition. The analytical results are illustrated with calculations for the case of point separations in the direction perpendicular to the interface. For the incident plus reflected field, the dependence of the complex-valued and inhomogeneous spatial correlation function on the permittivity, permeability and conductivity of the medium is determined. For the refracted field, the spatial correlation is again complex-valued but homogeneous and highly sensitive to the value of the refractive index. Based on the derived dependencies, novel nonlocal measurement methods for precision characterization of electromagnetic material properties are suggested. The influence of the directionality of incidence for electromagnetic beams is investigated. Narrowing the beam width results in a slower decrease of the amplitude of the correlation function as a function of point separation. Previously obtained asymptotic results for statistically homogeneous random free fields are retrieved as special cases.
{
"annotation_id": "60b17710-5919-4d37-b820-50d9f160cef4",
"date_created": "2026-03-02T18:01:14.807000Z",
"date_modified": "2026-03-02T18:01:14.807000Z",
"file_hash": "56647aa7890fe4f04f947abaff9418bb303e85bed7d584b66c97254992a54566",
"private": false,
"record": {
"abstract": "We extend a previous analysis of spatial correlation functions for classical\nelectromagnetic vector fields near a perfectly conducting boundary [PRE, vol.\n73, 036604 (2006)] to the case of an isotropic semi-infinite medium with planar\ninterface and characterized by a first-order impedance boundary condition. The\nanalytical results are illustrated with calculations for the case of point\nseparations in the direction perpendicular to the interface. For the incident\nplus reflected field, the dependence of the complex-valued and inhomogeneous\nspatial correlation function on the permittivity, permeability and conductivity\nof the medium is determined. For the refracted field, the spatial correlation\nis again complex-valued but homogeneous and highly sensitive to the value of\nthe refractive index. Based on the derived dependencies, novel nonlocal\nmeasurement methods for precision characterization of electromagnetic material\nproperties are suggested. The influence of the directionality of incidence for\nelectromagnetic beams is investigated. Narrowing the beam width results in a\nslower decrease of the amplitude of the correlation function as a function of\npoint separation. Previously obtained asymptotic results for statistically\nhomogeneous random free fields are retrieved as special cases.",
"arxiv_id": "physics/0611053",
"authors": [
"Luk R. Arnaut"
],
"categories": [
"physics.optics",
"physics.ao-ph"
],
"doi": "10.1103/PhysRevE.74.056610",
"title": "Spatial Correlation Functions of Random Electromagnetic Fields in the Presence of a Semi-Infinite Isotropic Medium",
"url": "https://arxiv.org/abs/physics/0611053"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bd16fc73-f59d-40e3-8bdd-ae7bf8dedbf0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}