Electromagnetism References

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Herring ReferencesProf. Robert B. LaughlinDepartment of Physics, Stanford UniversityStanford, CA 94305

Click here to ascend in the Herring Archive.A12 - ElectromagnetismElectricity and Magnetism

J. C. Slater and N. H. Frank, Electromagnetism (McGraw-Hill, 1947).J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).M. Mason and W. Weaver, The Electromagnetic Field (Chicago, 1929).W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (

Addison Wesley,1962).D. S. Jones, The Theory of Electromagnetism (MacMillan, 1964).W. F. Brown, Jr. , Magnetoelastic Interactions (Springer, 1966).P. Penfield Jr. and H. A. Haus, Electrodynamics of Moving Media (MIT, 19

67).C. Muller, Foundations of the Mathematical Theory of Electromagnetic Wav

es (Springer, 1969).V. Rojansky, Electromagnetic Fields and Waves (Prentice Hall, 1971).R. H. Good Jr. and T. J. Nelson, Classical Theory of Electric and Magnet

ic Fields (Academic Press, 1971).L. D. Landau and E. M. Lifschitz, Classical Theory of Fields (Pergamon,

1971).

L. Eyges, The Classical Electromagnetic Field (Addison Wesley, 1972).S. R. de Groot and L. G. Suttorp, Foundations of Electrodynamics (NorthHolland, 1972).

K.-H. Steiner, Interactions Between Electromagnetic Fields and Matter (Vieweg-Pergamon, 1973).

F. N. H. Robinson, Macroscopic Electromagnetism (Pergamon, 1973).F. N. H. Robinson, "Electromagnetic Stress and Momentum in Matter," Phys

. Rep. 16, 313 (1975).J. D. Jackson, Classical Electrodynamics (Wiley, 1975).V. L. Ginzburg and V. A. Ugarov, "Remarks of Forces and the Energy-Momen

tum Tensor in Macroscopic Electrodynamics," Usp. Fiz. Nauk 118, 175 (1976) [Sov. Phys. Usp. 19, 94 (1976)].

V. L. Ginzburg, Theoretical Physics and Astrophysics (Pergamon, 1979).

C. C. Wang, Mathematical Principles of Mechanics and Electromagnetism (Plenum, 1979).L. D. Landau, E. M. Lifschitz and L. P. Pitaevskii, Electrodynamics of C

ontinuus Media (Pergamon, 1984).I. S. Grant and W. R. Phillips, Electromagnetism (Wiley, 1990).

Electromagnetic UnitsT. P. Merritt, "MKS Units in Electricity and Magnetism," Am. J. Phys. 23

, 79 (1955).D. L. Matthews, "How to Transform MKS Equations into the Gaussian System

," Am. J. Phys. 23, 385 (1955).

Theory of Action at a Distance

J. A. Wheeler and R. P. Feynman, "Classical Electrodynamics in Terms ofDirect Interparticle Action," Rev. Mod. Phys. 21, 425 (1949).E. H. Kerner, "Hamiltonian Formulation of Action-at-a-Distance in Electr

odynamics," J. Math. Phys. 3, 35 (1962).

Energy, Momentum and Free Energy in the Electromagnetic FieldE. A. Guggenheim, "On Magnetic and Electrostatic Energy," Proc. Roy. Soc

. A 155, 49 (1936).E. A. Guggenheim, "Note on Magnetic Energy," Phys. Rev. 68, 273 (1945).G. H. Livens, "On the Mechanical Relations of the Energy of Magnetizatio



n," Proc. Roy. Soc. A 93, 20 (1916).G. H. Livins, "On the Fundamental Formulation of Electrodynamics," Phil.

Trans. Roy. Soc. 220, 207 (1919).G. H. Livins, "On the Energy and Mechanical Relations of the Magnetic Fi

eld," Phil. Mag. 36, 1 (1945).G. H. Livins, "Note on Magnetic Energy," Phys. Rev. 71, 58 (1947).W. B. Smith-White, "On the Mechanical Action in Dielectrics," Proc. Phys

. Soc. A 64, 945 (1951).W. B. Smith-White, "On the Mechanical Forces in Dielectrics," Phil. Mag.

40, 466 (1949).R. Cade, "On Mechanical Action in Dielectrics," Proc. Phys. Soc. A 64, 6

65 (1951).R. Cade, "On Mechanical Action in Dielectrics," Proc. Phys. Soc. A 65, 2

87 (1952).S. Slansky, "Maxwell's Tensor," Compt. Rend. Acad. Sci. 238, 1103 (1954)

.K. B. Vlasov, Fiz. Met. 3, 55 (1956).H. E. Strauss, "Form Effect in Linear Magnetostriction," J. Appl. Phys.

30, 698 (1954).L. P. Pitaevskii, "Electric Forces in Transparent Dispersive Media," Zh.

Eksp. Teor. Fiz. 39, 1450 (1960) [Sov. Phys. JETP 12, 1008 (1961)].R. Gersdorf, "Uniform and Non-Uniform Form Effect in Magnetostriction,"

Physica 26, 553 (1960).W. F. Brown Jr., "Electric and Magnetic Forces: A Direct Calculation," A

m. J. Phys. 19, 290, 333 (1951).W. E. Smith, "Energy and Dispersion in Electromagnetic Systems," Aus. J. Phys. 18, 287 (1965).

C. Møller, The Theory of Relativity (Pergamon, 1958).L. D. Landau and E. M. Lifschitz, Electrodynamics of Moving Media (Perga

mon, 1960).W. Pauli, The Theory of Relativity (Pergamon, 1958).B. D. Josephson, "Macroscopic Field Equation for Metals in Equilibrium,"

Phys. Rev. 152, 211 (1966).R. R. Birss, "Surface Stress in the Non-Uniform Form Effect in Magnetost

riction," Proc. Phil. Soc. Lond. 90, 453 (1967).E. M. Pugh and G. E. Pugh, "Physical significance of the Poynting Vector

in Static Fields," Am. J. Phys. 35, 135 (1967).

P. Poincelot, "Sur la Symetrie du Tenseur Electrodynamique," Compt. Rend. Acad. Sci. B 264, 1064 (1967).S. R. De Groot and L. G. Suttorp, "The Relativistic Energy-Momentum Tens

or in a Dielectric," Phys. Lett. 21, 297 (1966).S. R. De Groot and L. G. Suttorp, "The Relativistic Energy-Momentum Tens

or in Dielectric Media," Phys. Lett. 24A, 385 (1967).S. R. De Groot and L. G. Suttorp, "On the Uniqueness of the Relativistic

Energy-Momentum Tensor in Polarized Media," Phys. Lett. 25A, 103 (1967).S. R. De Groot and L. G. Suttorp, "The Relativistic Energy-Momentum Tens

or in Polarized Media," Physica 37, 284, 297 (1967).S. R. De Groot and L. G. Suttorp, "The Relativistic Energy-Momentum Tens

or in Polarized Media," Physica 39, 28, 41, 61, 77, 84 (1968).P. M. Levy, "Shape Dependence of the Thermodynamic Properties of Magneti

c Systems," Phys. Rev. 170, 595 (1968).H. Homer, "Shape-Dependent Thermodynamic Quantities in Magnetic Systemswith Dipole Interaction," Phys. Rev. 172, 535 (1968).

H. A. Haus, "Momentum, Energy and Power Density of TEM Wave Packet," Physica 43, 77 (1969).

J. Grindlay, An Introduction to the Phenomenological Theory of Ferroelectricity (Pergamon, 1970).

I. Brevik, "Electromagnetic Energy Momentum Tensor with Material Media," Mat. Fys. Dan. Vid. Selsk. 37, No. 11 and No. 13 (1970)

M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in Elasti



c Anisotropic Dielectrics," Phys. Rev. B 4, 3694 (1971).M. Lax and D. F. Nelson, "Electrodynamics of Elastic Pyroelectrics," Phy

s. Rev. B 13, 1759 (1976).D. F. Nelson and M. Lax, "Asymmetric Total Stress Tensor," Phys. Rev. B

13, 1770 (1976).J. P. Gordon, "Radiation Forces and Momenta in Dielectric Media," Phys.

Rev. A 8, 14 (1973).F. N. H. Robinson, Macroscopic Electromagnetism (Pergamon, 1973).F. N. H. Robinson, "Electromagnetic Stress and Momentum in Matter," Phys

. Rep. 16, 313 (1975).M. Kono, M. M. Škorič and D. ter Haar, "Pondermotive Force in a Dispersive M

edium in a Variable Electromagnetic Field," Phys. Rev. Lett. 45, 1629 (1980).I. Brevik, "Experiments in Phenomenological Electrodynamics and the elec

tromagnetic energy-Momentum Tensor," Phys. Rep. 52 C, 133 (1979).H. M. Lai, W. M. Suen and K. Young, "Microscopic Derivation of the Helmh

oltz Force Density," Phys. Rev. Lett. 47, 177 (1981).M. Walker, "Global Energy-Momentum Conservation for Scattering of Point

Charges," Phys. Rev. Lett. 50, 636 (1983).G. L. J. A. Rikken and B. A. van Tiggelen, "Direction of Optical Energy

Flow in a Transverse Magnetic Field," Phys. Rev. Lett. 78, 847 (1997).

Conservation Laws in ElectromagnetismD. M. Lipkin, "Existence of a New Conservation Law in Electromagnetic Th

eory," J. Math. Phys. 5, 696 (1964).

L. J. F. Broer, "On the Zilch of Plane Waves," Physica 38, 341 (1968).Basic Theory of Electromagnetic Waves

E. Wolf, "A Macroscopic Theory of Interference and Diffraction of Lightfrom Finite Sources of Arbitrary Width," Proc. Roy. Soc. A 230, 246 (1955).

M. Born and E. Wolf, Principles of Optics (Cambridge, 1999).P. R. Karr, "Generalized 'Cross-Correlation' Field Quantities as Solutio

ns of Field Equations," J. Math. Phys. 4, 1037 (1963).J. R. Pierce, Almost All About Waves (MIT, 1974).C. Chu and T. Ohkawa, "Transverse Electromagnetic Waves with E || B," Ph

ys. Rev. Lett. 48, 837 (1982).K. K. Lee, "Comments on 'Transverse Electromagnetic Waves with E || B,'"

Phys. Rev. Lett. 50, 138 (1983).

C. Chu, "Chu Responds," Phys. Rev. Lett. 50, 139 (1983).K. R. Brownstein, "Action and Pseudoaction of an Electromagnetic Wave,"J. Phys. A 19, 159 (1986).

H. Zaghloul, K. Volk and H. A. Buckmaster, "Comment on 'Transverse Electromagnetic Waves with E || B,'" Phys. Rev. Lett. 58, 423 (1987).

Classification of Multipole RadiationV. Berestetzky, J. Phys. USSR 11, 85 (1947).B. Jeffreys, "The Classification of Multipole Radiation," Proc. Camb. Ph

il. Soc. 48, 470 (1952).C. J. Bouwkamp and H. B. G. Casimir, "On Multipole Expansion in the Theo

ry of Electromagnetic Radiation," Physica 20, 539 (1954).R. H. Good, "Electromagnetic Multipole Radiation," Ann. Phys. 1, 213 (19

57). H. B. G. Casimir, Helv. Phys. Acta 33, 849 (1960).S. C. Snowdon, "Theory of Multipole Radiation," J. Math. Phys. 2, 719 (1

961).

Interaction of Fields and ParticlesN. G. Van Kampen, "Contribution to the Quantum Theory of Light Scatterin

g," Kgl. Danske Videnskab. Selskab. Mat.-Fys. Medd. 27, 1 (1951).H. Steinwedel, "Zur Hauptachsentransformation der Dipol-Hamiltonianfunkt

ion des freien und gebundenen Elektrons im elektromagnetischen Strahlungsfeld,"



Ann. Physik 15, 207 (1955).F. H. J. Cornish, "Classical Radiation Theory and Point Charges" Proc. P

hys. Soc. 86, 427 (1965).E. P. G. Rowe, "Lagrangian for a Charged Point Particle" Phys. Rev. Lett

. 53, 1779 (1984).

Ampère's Law and ForcesW. E. Smith, "An Electromagnetic Force Theorem for Quasi-Stationary Curr

ents," Aus. J. Phys. 18, 195 (1965).W. E. Smith, "Electric Forces in Quasi-Static Systems," Aus. J. Phys. 19

, 591 (1966).B. D. Josephson, "Macroscopic Field Equations for Metals in Equilibrium,

" Phys. Rev. 152, 211 (1966).W. Shockley and R. P. James, "'Try Simplest Cases' Discovery of 'Hidden

Momentum' Forces on 'Magnetic Currents'," Phys. Rev. Lett. 18, 876 (1967).W. Shockley and K. K. Thornber, "The 'Hidden Momentum' Equivalent to Mag

netic Charges for a Bound-State Dirac Electron," Phys. Lett. A 27, 534 (1968).O. Costa de Beauregard, "A New Law in Electrodynamics," Phys. Lett. A 24

, 177 (1967).O. Costa de Beauregard, "Physical Reality of Electromagnetic Potentials?

" Phys. Lett. A 25, 95 (1967).O. Costa de Beauregard, "Physical Non-Reality of Electromagnetic Potenti

als?" Phys. Lett. A 26, 48 (1967).P. Penfield and H. A. Haus, Electrodynamics of Moving Media (MIT, 1967).

H. A. Haus and P. Penfield, "Force on a Current Loop," Phys. Lett. A 26, 412 (1967).W. Shockley, "'Hidden Linear Momentum' Related to the a·E Term for a Dirac-E

lectron Wave Packet in an Electric Field," Phys. Rev. Lett. 20, 343 (1968).W. Shockley, "A 'Try Simplest Cases' Resolution of the Abraham-Minkowski

controversy on Electromagnetic Momentum in Matter," Proc. Natl. Acad. Sci. 60,807 (1968).

S. Coleman and J. H. Van Vleck, "Origin of 'Hidden Momentum Forces' on Magnets," Phys. Rev. 171, 1370 (1968).

Relation Between Macroscopic and Microscopic QuantitiesL. Rosenfeld, Theory of Electrons (North-Holland, 1951).P. Mazur and B. R. A. Nijboer, "On the Statistical Mechanics of Matter i

n an Electromagnetic Field: I. Derivation of the Maxwell Equations from Electron Theory," Physica 19, 971 (1953).E. Durand, "Les Distributions de Dipôles," Ann. Physique 9, 493 (1954).K. Schramm, "Quantum Statistical Derivation of the Macroscopic Maxwell E

quations," Physica 26, 1080 (1960).A. N. Kaufman and T. Soda, "Microscopic Basis of Macroscopic Magnetostat

ic Energy," J. Chem. Phys. 37, 1988 (1962).S. R. de Groot, "The Maxwell Equations: Nonrelativistic Multipole Expans

ion to All Orders," Physica 31, 953 (1965).S. R. De Groot, The Maxwell Equations (North-Holland, 1969).S. Kröner, "Zur statististischen Begründung der Kontinuumsphysik," Phys. Sta

t. Solidi B 41, 499 (1970).F. N. H. Robinson, Macroscopic Electromagnetism (Pergamon, 1973).

F. N. H. Robinson, "The Microscopic and Macroscopic Equations of the Electromagnetic Field," Physica 54, 329 (1971).S. R. de Groot and L. G. Suttorp, Foundations of Electrodynamics (North

Holland, 1972).R. Peierls, "The Momentum of Light in a Refracting Medium," Proc. Roy. S

oc. A 347, 475 (1976).R. Peirels, Proc. Roy. Soc. A 355, 145 (1977).L. D. Favro and P. K. Kuo, "Macroscopic Quantum Electrodynamics," Phys.

Rev. A 13, 1104 (1976).G. A. Maugin, "Micromagnetism," in Continuum Physics, Vol III, ed. by A.



C. Eringen (Academic, 1976), p. 221.K.-H. Wong and K. Young, "Momentum of Light in a Refracting Medium," Am.

J. Phys. 45, 195 (1977).H. M. Lai, W. M. Suen and K. Young, "Microscopic Derivation of the Helmh

oltz Force Density," Phys. Rev. Lett. 47, 177 (1981).M. Resta, "Macroscopic Polarization in Crystalline Dielectrics: the Geom

etric Phase Approach," Rev. Mod. Phys. 66, 899 (1994).

Electromagnetic Equations in (Possibly Moving) MediaM. Liu, "Hydrodynamic Theory of Electromagnetic Fields in Continuous Med

ia," Phys. Rev. Lett. 70, 3580 (1993).H. Hinteregger, "Induction Phenomna Consequent on the Movement of Materi

al in Primary Magnetic Fields and Their Experimental Applications," Acta Phys. Austriaca 7, 129, 337 (1953).

J. F. McKenzie, "Electromagnetic Waves in Uniformly Moving Media," Proc. Phil. Soc. 91, 532 (1967).

I. Brevik, "Electromagnetic Energy-Momentum Tensor Within Material Media," Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 37, Nos. 11 and 13 (1951).

M. Lax and D. F. Nelson, "Maxwell Equations in Material Form," Phys. Rev. B 13, 1777 (1976).

Stress in Liquid Due to Electric FieldsS. S. Hakim and J. B. Higham, "An Experimental Determination of the Exce

ss Pressure Produced in a Liquid Dielectric by an Electric Field," Proc. Phys. S

oc. 80, 190 (1962).Observation of Electromagnetic Momentum and Angular Momentum in Matter

D. G. Lahoz and G. M. Graham, "Observation of Electromagnetic Angular Momentum with Magnetite," Phys. Rev. Lett. 42, 1137 (1979).

Radiation PressureR. V. Jones and J. C. S. Richards, "The Pressure of Radiation in a Refra

cting Medium," Proc. Roy. Soc. A 221, 480 (1954).A. Ashkin and J. M. Dziedzic, "Radiation Pressure on a Free Liquid Surfa

ce," Phys. Rev. Lett. 30, 139 (1973).

Electrodynamics in Crystals

T. H. O'Dell, "The Electrodynamics of Magneto-Electric Media," Phil. Mag. 7, 1653 (1962).J. B.Walker, A. C. Pipkin and R. S. Rivlin, "Maxwell's Equations in a De

formed Body," Accad. Naz. Lincei, Series VIII, 38, 674 (1965).W. Shockley and R. P. James, "'Try Simplest Cases' Discovery of 'Hidden

Momentum' Forces on 'Magnetic Currents'," Phys. Rev. Lett. 18, 876 (1967).I. Brevik, "Electromagnetic Energy-Momentum Tensor Within Material Media

," Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 37, Nos. 11 and 13 (1951).M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in elasti

c Anisotropic Dielectrics," Phys. Rev. B 4, 3694 (1971).

Hydromagnetic EquationsW. M. Elsasser, "Earth's Interior and Geomagnetism," Rev. Mod. Phys. 22,

1 (1950).W. M. Elsasser, "The Hydromagnetic Equations," Phys. Rev. 79, 183 (1950).

C. Truesdell, "The Effect of the Compressibility of the Earth on Its Magnetic Field," Phys. Rev. 78, 823 (1950).

F. De Hoffman and E. Teller, "Magneto-Hydrodynamic Shocks," Phys. Rev. 80, 692 (1950).

H. Alfvén, "On the Existence of Electromagnetic-Hydrodynamic Waves," Ark.Mat. Astr. Fys. 29B, 1 (1942).

A. Schlüter, "Der Zusammenhang der Schwingungsformen eines Plasmas," Ann.



Phys. 10, 418 (1952).C. O. Hines, "Generalized Magneto-Hydrodynamic Formulae," Proc. Camb. Ph

il. Soc. 49, 299 (1953).N. S. Anderson, "Longitudinal Magneto-Acoustic Waves," J. Acoust. Soc. A

m. 25, 529 (1953).R. Lüst, "Magneto-hydrodynamische Stoßwellen in Plasma unendlicher Leifähigkei

t," Z. Naturforsch. 8a, 277 (1953).R. A. Alpher and R. J. Rubin, "Magnetic Dispersion and Attenuation of So

und in Conducting Fluids and Solids," J. Acoustic. Soc. Am. 26, 452 (1954).A. Baños Jr., "Fundamental Wave Functions in an Unbounded Magneto-Hydrodyn

amic Field: I. General Theory," Phys. Rev. 97, 1435 (1955).S. Lundquist, "Studies in Magneto-Hydrodynamics," Ark. Fys. 5, 297 (1952

).C. Walén, "On the Theory of Sunspots," Ark. Mat. Astron. Fys. 30A, 1 (1944

).W. M. Elsasser, "Hydromagnetism," Am. J. Phys. 23, 590 (1955).G. H. A. Cole, "Some Aspects of Magnetohydrodynamics," Adv. Phys. 5, 452

(1956).S. I. Syrovatskii, "Magnetohydrodynamics," Usp. Fiz. Nauk 62, 247 (1957)

.R. V. Polovin and K. P. Cherkasova, "Magnetohydrodynamic Waves," Usp. Fi

z. Nauk 88, 593 (1966).S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford, 1961

).

W. F. Hughes and F. J. Young, Electromagnetodynamics of Fluids (Wiley, 1966).H. Cabannes, Theoretical Magnetofluid-Dynamics (Academic,1970).P. J. Morrison and J. M. Greene, "Noncanonical Hamiltonian Density Formu

lation of Hydrodynamics and Ideal Magnetohydrodynamics," Phys. Rev. Lett. 45, 790 (1980).

Hydromagnetic TurbulenceS. Chandrasekhar, "Hydromagnetic Turbulence," Proc. Roy. Soc. A 233, 322

, 330 (1955).

Theory of the Local FieldL. Tonks, "Ionization Density and Critical Frequency," Nature 132, 101,

710 (1933).K. A. Norton, "Ionization of the Ionosphere," Nature 132, 676 (1933).D. R. Hartree, "The Dispersion Formula for an Ionized Medium," Nature 13

2, 929 (1933).C. G. Darwin, "Refraction of Ionized Media," Nature 133, 62 (1934).C. G. Darwin, "The Refractive Index of an Ionized Medium," Proc. Roy. So

c. 146, 17 (1941).P. Sheng and Z. Chu, "Local-Field Distribution in Random Dielectric Medi

a," Phys. Rev. Lett. 60, 227 (1988).F. Caro and G. D. Mahan, "Comment on 'Local-Field Distribution in Random

Dielectric Media,'" Phys. Rev. Lett. 66, 1644 (1991).

Nonlinear Light Propagation

N. Bloembergen and P. S. Pershan, "Light Waves at the Boundary of Nonlinear Media," Phys. Rev. 128, 606 (1962).G. Rosen, "Electromagnetic Shocks and the Self-Annihilation of Intense L

inearly Polarized Radiation in an Ideal Dielectric Material," Phys. Rev. 139, A539 (1965).

K. Grob and M. Wagner, "Equations of Ginzburg-Landau Type in Nonlinear Optics," Phys. Rev. Lett. 17, 819 (1966).

W. E. Lamb Jr., "Theory of an Optical Maser," Phys. Rev. 134, A1429 (1964).

H. Risken and H. D. Vollmer, "Theory of an Optical Maser," Z. Phys. 204,



240 (1967).R. H. Hampstead and M. Lax, "Classical Noise VI: Noise in Self-Sustained

Oscillators Near Threshold," Phys. Rev. 161, 350 (1967).M. Borenstein and W. E. Lamb Jr., "Classical Laser," Phys. Rev. A 5, 129

8 (1972).C. D. Cantrell, M. Lax and W. A. Smith, "Third- and Higher-Order Intensi

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Noise in Lasers Near ThresholdS. Chopra and L. Mandel, "Higher-Order Correlation Properties of a Laser

Beam," Phys. Rev. Lett. 30, 60 (1973).M. Lax and M. Zwanziger, "Exact Photocount Statistics: Lasers Near Thres

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Behavior of Single Charged Particles in Electromagnetic FieldsD. Weinland, P. Ekstrom and H. Dehmelt, "Monoelectron Laser," Phys. Rev.

Lett. 31, 1279 (1973).P. H. Bucksbaum, M. Bashkansky and T. J. McIlrath, "Scattering of Electr

ons by Intense Coherent Light," Phys. Rev. Lett. 31, 1279 (1973).

Theory of Cherenkov RadiationA. I. Akhiezer, G. L. Lyubarskii and Ya. B. Fainberg, "On the Cherenkov

Effect and the Complex Doppler Effect," Doklady Akad. Nauk SSSR 72, 55 (1950).J. R. Pierce, "Interaction of Moving charges with Wave Circuits," J. App

l. Phys. 26, 627 (1955).Kramers-Krönig Relations

T. T. Wu, "Some Properties of Impedance as a Causal Operator," J. Math.Phys. 3, 262 (1962).

P. C. Martin, "Sum Rules, Kramers-Kronig Relations and Transport Coefficients in Charged Systems," Phys. Rev. 161, 143 (1967).

M. Leontov, "A Generalization of the Kramers-Kronig Formula to Media with Spatial Dispersion," Zh. Eksp. Teor. Fiz. 40, 907 (1961) [Sov. Phys. JETP 12,634 (1961)].

Existence of Free Magnetic PolesF. Ehrenhaft, "Über Photophorese und eine die Materie drehende Wirkung des

Lichtes im Vakuum," Acta Phys. Austriaca 4, 118 (1950).F. Ehrenhaft, "Über die Photophorese, die wahre magnetische Ladung und die schraubenförmige Bewegung der Materie in Feldern," Acta Physica Austriaca 4, 461(1951).

K. H. Balkenhol, "Über das Verhalten intensiv beleuchteter Schwebeteilchen in magnetischen und elektrischen Feldern," Ann. d. Phys. 14, 17 (1954).

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Electromagnetism References