## Electromagnetic field in the source region of continuously varying current density

URI: https://www.openarchives.gr/aggregator-openarchives/edm/ntua/000011-123456789_11867

RDF/XML JSON-LD

This item is provided by the institution :

Repository :

Digital Library of National Technical University of Athens | Dspace@NTUA

National Technical University of Athens

Repository :

Digital Library of National Technical University of Athens | Dspace@NTUA

see the original item page

in the repository's web site and access all digital files if the item^{*}

in the repository's web site and access all digital files if the item

Electromagnetic field in the source region of continuously varying current density
(EN)

Fikioris, JG
(EN)

N/A
(EN)

Continuity, analyticity, and the singular points of the vector potential A and the field vectors H, E in a spherical source region nu are investigated thoroughly for, practically, any continuous current density distribution J in nu. In other words, this is a study of the inhomogeneous Helmholtz equation in nu. Explicit results for A, H, E are obtained by direct integration, extending previous results for constant density in nu to continuously varying ones. The importance of imposing the Holder condition on J to insure existence of E and of certain second derivatives of A is explicitly demonstrated by a specific continuous J, violating this condition at a point; it is then seen that E and some second derivatives of A do not exist; tending to infinity, at that point.
(EN)

journalArticle

Function evaluation
(EN)

Convergence of numerical methods
(EN)

Integration
(EN)

Electric current distribution
(EN)

Partial differential equations
(EN)

Integral equations
(EN)

Continuous current density distribution
(EN)

Helmholtz equation
(EN)

Electromagnetic field theory
(EN)

Holder condition
(EN)

Vectors
(EN)

Current density
(EN)

Εθνικό Μετσόβιο Πολυτεχνείο
(EL)

National Technical University of Athens
(EN)

Quarterly of Applied Mathematics
(EN)

1996

AMER MATHEMATICAL SOC
(EN)

*