Derivation of the Lorentz Transformation from the Maxwell Equations

References

• Lorentz , H. A. 1904 . Electromagnetic phenomena in a system moving with any velocity smaller than that of light . Proc. Royal Acad. Amsterdam , : 809 – 831 .
   Google Scholar
• Poincaré , H. 1906 . Sur la dynamique de l'electron . Rendiconti del Circolo Matematico di Palermo , 21 : 129 – 175 .
   Google Scholar
• Einstein , A. 1905 . Zur Elektrodynamik bewegter Körper . Annalen der Physik , : 891 – 921 .
   Google Scholar
• Fishbane , F. M. , Gasiorowicz , S. and Thornton , S. T. 1998 . Physics for Scientists and Engineers , 2nd ed. , N.J : Prentice Hall . Ch. 40
   Google Scholar
• Das , A. 1993 . The Special Theory of Relativity—A Mathematical Exposition , N.Y : Springer-Verlag . Ch. 3
   Google Scholar
• Callahan , J. J. 2000 . The Geometry of Spacetime , New York : Springer-Verlag . Ch. 1
   Google Scholar
• Yeh , C. 1965 . Reflection and transmission of electromagnetic waves by a moving dielectric medium . J. of Appl. Phys. , 36 : 3513 – 3517 .
   Web of Science ®Google Scholar
• Lee , S. W. and Lo , Y. T. 1967 . Reflection and transmission of electromagnetic waves by a moving uniaxially anisotropic medium . J. of Appl. Phys. , 38 : 870 – 875 .
   Web of Science ®Google Scholar
• Lee , S. W. and Mittra , R. 1967 . Scattering of electromagnetic waves by a moving cylinder in free space . Canadian J. of Phys. , 45 : 2999 – 3007 .
   Web of Science ®Google Scholar
• Tsandoulas , G. 1968 . Electromagnetic diffraction by a moving wedge . Radio Sci. , 3 : 887 – 892 .
   Google Scholar
• Censor , D. 1972 . Scattering in velocity-dependent systems . Radio Sci. , 7 : 331 – 337 .
   Web of Science ®Google Scholar
• De Zuter , D. and Van Bladel , J. 1977 . Scattering by cylinders in translational motion . IEE Microwaves, Optics and Antennas , 1 : 192 – 196 .
   Google Scholar
• Borghi , R. , Gori , F. , Santersiero , M. , Frezza , F. and Schettini , G. 1996 . Plane wave scattering by conducting cylinder near a plane surface: A cylindrical wave approach . J. Optical Soc. Amer.-A , 13 : 483 – 493 .
   Google Scholar
• De Cupis , P. , Gerosa , G. and Schettini , G. 2000 . Electromagnetic scattering by an object in relativistic translational motion . J. of Electromagn.Waves and Appl. , 14 : 1037 – 1062 .
   Web of Science ®Google Scholar
• De Cupis , P. , Burghignoli , P. , Geroza , G. and Marziale , M. 2002 . Electromagnetic wave scattering by a perfectly conducting wedge in uniform translational motion . J. of Electromagn.Waves and Appl. , 16 : 345 – 364 .
   Web of Science ®Google Scholar
• Idemen , M. and Alkumru , A. 2004 . Influence of the velocity on the energy pattern of moving scatterers . J. of Electromagn.Waves and Appl. , 18 : 3 – 22 .
   Web of Science ®Google Scholar
• Censor , D. 1998 . Electromagnetics, topsy-turvy special relativity, and generalized Minkowski constitutive relations for linear and nonlinear systems . PIER , 18 : 261 – 284 .
   Google Scholar
• Censor , D. 2000 . Application-oriented relativistic electrodynamics(2) . PIERS , 29 : 107 – 168 .
   Google Scholar
• Kong , J. A. 1990 . Electromagnetic Wave Theory , Sec. Ed. , New York : John Wiley & Sons, Inc .
   Google Scholar
• Ignatowski , W. 1910 . Das relativitätsprinzip . Arch. Math. Phys. , 17 : 1 – 24 .
   Google Scholar
• Robb , A. A. 1914 . A Theory of Space and Time , Cambridge Univ. Press .
   Google Scholar
• Jefimenko , O. D. 1995 . Retardation and relativity: Derivation of Lorentz-Einstein transformation from retarded integrals for electric and magnetic fields . Am. J. Phys. , 63 : 267 – 272 .
   Google Scholar
• Liénard , A. 1898 . Champ électrique et magnétique produit par une charge electric concentré en une point et animé d'un movement quelconque . L' Éclairage Électr. , 16 : 106 – 112 .
   Google Scholar
• Smirnow , W. I. 1959 . Lehrgang der Höheren Mathematik , Vol. Teil III-2 , Berlin : Veb Deutscher Verlag der Wissenschaften . S55
   Google Scholar
• Jones , D. S. 1964 . The Theory of Electromagnetism , 143 – 145 . New York : Pergamon Press .
   Google Scholar
• Lorentz , H. A. 1921 . Deux mémoires de Henri Poincaré dans la physique mathématique . Acta Matematica , 38 : 296
   Google Scholar
• Poincaré , H. 1905 . Sur la dynamique de l'électron . Comptes Rendus de l'Acad. Des Sci. de Paris , 140 : 1504 – 1508 .
   Google Scholar