A Time-Domain Vector Potential Formulation for the Solution of Electromagnetic Problems

Franco De Flaviis; Massimo G. Noro; Rodolfo Diaz; G. Franceschetti; Nicolaos G. Alexopoulos

doi:10.1109/75.720465

A Time-Domain Vector Potential Formulation for the Solution of Electromagnetic Problems

Franco De Flaviis, Massimo G. Noro, Rodolfo Diaz, G. Franceschetti, Nicolaos G. Alexopoulos

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We present an alternative vector potential formulation of Maxwell's equations derived upon introduction of a quantity related to the Hertz potential. Once space and time are discretized, within this formulation the electric field and vector potential components are condensed in the same point in the elementary cell. In three dimensions the formulation offers an alternative to finite-difference time-domain (FDTD) method; when reduced to a two-dimensional (2-D) problem, only two variables, instead of three, are necessary, implying a net memory saving of 1/3 with respect to FDTD.

Original language	English (US)
Pages (from-to)	310-312
Number of pages	3
Journal	IEEE Microwave and Guided Wave Letters
Volume	8
Issue number	9
DOIs	https://doi.org/10.1109/75.720465
State	Published - Sep 1998

ASJC Scopus subject areas

Engineering(all)
Physics and Astronomy(all)

Access to Document

10.1109/75.720465

Cite this

@article{a56999275def466b96f866c1545ae83e,

title = "A Time-Domain Vector Potential Formulation for the Solution of Electromagnetic Problems",

abstract = "We present an alternative vector potential formulation of Maxwell's equations derived upon introduction of a quantity related to the Hertz potential. Once space and time are discretized, within this formulation the electric field and vector potential components are condensed in the same point in the elementary cell. In three dimensions the formulation offers an alternative to finite-difference time-domain (FDTD) method; when reduced to a two-dimensional (2-D) problem, only two variables, instead of three, are necessary, implying a net memory saving of 1/3 with respect to FDTD.",

author = "{De Flaviis}, Franco and Noro, {Massimo G.} and Rodolfo Diaz and G. Franceschetti and Alexopoulos, {Nicolaos G.}",

year = "1998",

month = sep,

doi = "10.1109/75.720465",

language = "English (US)",

volume = "8",

pages = "310--312",

journal = "IEEE Microwave and Wireless Components Letters",

issn = "1531-1309",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "9",

}

TY - JOUR

T1 - A Time-Domain Vector Potential Formulation for the Solution of Electromagnetic Problems

AU - De Flaviis, Franco

AU - Noro, Massimo G.

AU - Diaz, Rodolfo

AU - Franceschetti, G.

AU - Alexopoulos, Nicolaos G.

PY - 1998/9

Y1 - 1998/9

N2 - We present an alternative vector potential formulation of Maxwell's equations derived upon introduction of a quantity related to the Hertz potential. Once space and time are discretized, within this formulation the electric field and vector potential components are condensed in the same point in the elementary cell. In three dimensions the formulation offers an alternative to finite-difference time-domain (FDTD) method; when reduced to a two-dimensional (2-D) problem, only two variables, instead of three, are necessary, implying a net memory saving of 1/3 with respect to FDTD.

AB - We present an alternative vector potential formulation of Maxwell's equations derived upon introduction of a quantity related to the Hertz potential. Once space and time are discretized, within this formulation the electric field and vector potential components are condensed in the same point in the elementary cell. In three dimensions the formulation offers an alternative to finite-difference time-domain (FDTD) method; when reduced to a two-dimensional (2-D) problem, only two variables, instead of three, are necessary, implying a net memory saving of 1/3 with respect to FDTD.

UR - http://www.scopus.com/inward/record.url?scp=0032165139&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032165139&partnerID=8YFLogxK

U2 - 10.1109/75.720465

DO - 10.1109/75.720465

M3 - Article

AN - SCOPUS:0032165139

SN - 1531-1309

VL - 8

SP - 310

EP - 312

JO - IEEE Microwave and Wireless Components Letters

JF - IEEE Microwave and Wireless Components Letters

IS - 9

ER -

A Time-Domain Vector Potential Formulation for the Solution of Electromagnetic Problems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this