Multipole theory in electromagnetism : classical, quantum, and symmetry aspects, with applications / R.E. Raab, O.L. de Lange.

Format:

Book

Author/Creator:

Raab, R. E.

Contributor:

De Lange, O. L.

Series:

International series of monographs on physics (Oxford, England) ; 128.

Oxford science publications.

Oxford science publications

International series of monographs on physics ; 128

Language:

English

Subjects (All):

Electromagnetic theory.

Electromagnetic waves--Scattering.

Electromagnetic waves.

Physical Description:

1 online resource (248 p.)

Place of Publication:

Oxford : Clarendon Press ; New York : Oxford University Press, 2005.

Language Note:

English

Summary:

Multipole theory provides a powerful way of characterising the electromagnetic behaviour of a medium, be it microscopic or macroscopic. This text decribes the concept of multipole theory as well as its successes and failures in applications to transmission, scattering and reflection.

Contents:

""CONTENTS""; ""1 Classical multipole theory""; ""1.1 Multipole expansion for the potential of a finite static charge distribution""; ""1.2 Dependence of electric multipole moments on origin""; ""1.3 Permanent and induced multipole moments""; ""1.4 Force and torque in an external electrostatic field""; ""1.5 Potential energy of a charge distribution in an electrostatic field""; ""1.6 Multipole expansion for the vector potential of a finite distribution of steady current""; ""1.7 Dependence of magnetic multipole moments on origin""; ""1.8 Force and torque in an external magnetostatic field""

""1.9 Potential energy of a current distribution in a magnetostaic field""""1.10 Multipole expansions for the dynamic scalar and vector potentials""; ""1.11 The far- and near-zone limits""; ""1.12 Macroscopic media""; ""1.13 Maxwell's macroscopic equations: multipole forms for D and H""; ""1.14 Discussion""; ""1.15 Primitive moments versus traceless moments""; ""1.15.1 A charge distribution""; ""1.15.2 Macroscopic media""; ""References""; ""2 Quantum theory of multipole moments and polarizabilities""; ""2.1 Semi-classical quantum mechanics""; ""2.2 Electrostatic perturbation""

""2.3 Buckingham's derivation of electrostatic multipole moments""""2.4 Magnetostatic perturbation""; ""2.5 Time-dependent fields: standard gauge""; ""2.6 Time-dependent fields: the Barron-Gray gauge""; ""2.7 Polarizabilities for harmonic plane wave fields""; ""2.8 Absorption of radiation""; ""2.9 Additional static magnetic polarizabilities""; ""2.10 Symmetries""; ""2.11 Macroscopic multipole moment and polarizability densities""; ""2.12 Phenomenology of the wave�matter interaction""; ""References""; ""3 Space and time properties""; ""3.1 Coordinate transformations""; ""3.2 Vectors""

""3.3 Cartesian tensors""""3.4 Time reversal""; ""3.5 The space and time nature of various tensors""; ""3.6 Symmetry and property tensors""; ""3.7 Origin dependence of polarizability tensors""; ""3.8 A pictorial determination of symmetry conditions""; ""3.9 Discussion""; ""References""; ""4 Linear constitutive relations from multipole theory""; ""4.1 Constitutive relations""; ""4.2 Origin independence""; ""4.3 Symmetries""; ""4.4 The ""Post constraint""""; ""4.5 Comparison with direct multipole results""; ""4.5.1 Electric dipole order""; ""4.5.2 Electric quadrupole�magnetic dipole order""

""4.5.3 Electric octopole�magnetic quadrupole order""""4.6 Discussion""; ""References""; ""5 Transmission and scattering effects: direct multipole results""; ""5.1 The wave equation""; ""5.2 Intrinsic Faraday rotation in a ferromagnetic crystal""; ""5.3 Natural optical activity""; ""5.4 Time-odd linear birefringence in magnetic cubics""; ""5.5 Optical properties in the Jones calculus""; ""5.6 Gyrotropic birefringence""; ""5.7 Linear birefringence in non-magnetic cubic crystals (Lorentz birefringence)""; ""5.8 Intrinsic Faraday rotation in magnetic cubics""

""5.9 The Kerr effect in an ideal gas""

Notes:

Description based upon print version of record.

Description based on print version record.

Includes bibliographical references and index.

ISBN:

0-19-152430-1

1-4294-8869-7

0-19-171797-5

OCLC:

271200960