- 2022SpasovaMScbyResearch
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Research output: Thesis › Master's Thesis

Published

**Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline.** / Spasova, Vanya.

Research output: Thesis › Master's Thesis

Spasova, V 2022, 'Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline', Masters by Research, Lancaster University. https://doi.org/10.17635/lancaster/thesis/1680

Spasova, V. (2022). *Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline*. Lancaster University. https://doi.org/10.17635/lancaster/thesis/1680

Spasova V. Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline. Lancaster University, 2022. 51 p. https://doi.org/10.17635/lancaster/thesis/1680

@phdthesis{095e397af9914dbcbad0de9a7f78f6b1,

title = "Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline",

abstract = "We are investigating the free components of an electromagnetic current,which we describe as a De Rham current over an arbitrary worldline on anarbitrary spacetime MST . These calculations are an extension of a previousresearch done on dipoles and quadrupoles, in which they are described ina metric-free manner. In this thesis, we consider an adapted coordinatesystem to define the free components of an electromagnetic distributionover an arbitrary worldline and extend the previous work done by goingup to the octupole order of the electromagnetic current expansion. Usingthe symmetries of the components found in the calculations, we derive ageneralized expression for the number of free components of any 2^k-tupole current, which satisfies the equation which leads to conservation of charge, dJ = 0.",

keywords = "multipole expansion, de Rham Currents, metric free, wordline, components, electromagnetic distribution",

author = "Vanya Spasova",

year = "2022",

month = jun,

day = "27",

doi = "10.17635/lancaster/thesis/1680",

language = "English",

publisher = "Lancaster University",

school = "Lancaster University",

}

TY - THES

T1 - Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline

AU - Spasova, Vanya

PY - 2022/6/27

Y1 - 2022/6/27

N2 - We are investigating the free components of an electromagnetic current,which we describe as a De Rham current over an arbitrary worldline on anarbitrary spacetime MST . These calculations are an extension of a previousresearch done on dipoles and quadrupoles, in which they are described ina metric-free manner. In this thesis, we consider an adapted coordinatesystem to define the free components of an electromagnetic distributionover an arbitrary worldline and extend the previous work done by goingup to the octupole order of the electromagnetic current expansion. Usingthe symmetries of the components found in the calculations, we derive ageneralized expression for the number of free components of any 2^k-tupole current, which satisfies the equation which leads to conservation of charge, dJ = 0.

AB - We are investigating the free components of an electromagnetic current,which we describe as a De Rham current over an arbitrary worldline on anarbitrary spacetime MST . These calculations are an extension of a previousresearch done on dipoles and quadrupoles, in which they are described ina metric-free manner. In this thesis, we consider an adapted coordinatesystem to define the free components of an electromagnetic distributionover an arbitrary worldline and extend the previous work done by goingup to the octupole order of the electromagnetic current expansion. Usingthe symmetries of the components found in the calculations, we derive ageneralized expression for the number of free components of any 2^k-tupole current, which satisfies the equation which leads to conservation of charge, dJ = 0.

KW - multipole expansion

KW - de Rham Currents

KW - metric free

KW - wordline

KW - components

KW - electromagnetic distribution

U2 - 10.17635/lancaster/thesis/1680

DO - 10.17635/lancaster/thesis/1680

M3 - Master's Thesis

PB - Lancaster University

ER -