Constitutive Relations, Dissipation, and Reciprocity for the Maxwell Equations in the Time Domain

References

• deGroot , S. R. 1969 . The Maxwell Equations , Amsterdam : North-Holland .
   Google Scholar
• Kong , J. A. 1986 . Electromagnetic Wave Theory , New York : Wiley .
   Google Scholar
• Dzyaloshinskii , I. E. 1960 . On the magneto-electrical effect in antiferromagnets . Soviet Physics JETP , 10 : 628 – 629 .
   Google Scholar
• O'Dell , T. H. 1966 . Measurements of the magneto-electric susceptibility of polycrystalline chromium oxide . Phil. Mag. , 13 : 921 – 933 .
   Google Scholar
• O'Dell , T. H. 1965 . Magnetoelectrics–a new class of materials . Electron. and Power , 11 : 266 – 267 .
   Google Scholar
• O'Dell , T. H. 1970 . The Electrodynamics of Magneto-electric Media , Amsterdam : North-Holland Publishing Company .
   Google Scholar
• Birss , R. R. and Shrubsall , R. G. 1967 . The propagation of electromagnetic waves in magnetoelectric crystals . Phil. Mag. , 15 : 687 – 700 .
   Google Scholar
• Kong , J. A. 1972 . Theorems of Bianisotropic Media . Proc. IEEE , 60 : 1036 – 1046 .
   Google Scholar
• Bassiri , S. , Engheta , N. and Papas , C. H. 1986 . Dyadic Green's function and dipole radiation in chiral media . Alta Freqenza , LV : 83 – 88 .
   Google Scholar
• Bassiri , S. , Papas , C. H. and Engheta , N. 1988 . Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab . J. Opt. Soc. Am. , A5 : 9
   Google Scholar
• Engheta , N. and Jaggard , D. L. 1988 . Electromagnetic chirality and its applications . IEEE Antennas and Propagation Society Newsletter , Oct. : 6 – 12 .
   Google Scholar
• Engheta , N. and Mickelson , A. R. 1982 . Transition radiation caused by a chiral plate . IEEE Trans. Antennas Propagat. , AP-30 : 1213 – 1216 .
   Google Scholar
• Jaggard , D. L. , Mickelson , A. R. and Papas , C. H. 1979 . On electromagnetic waves in chiral media . Appl. Phys. , 18 : 211 – 216 .
   Web of Science ®Google Scholar
• Jaggard , D. L. , Sun , X. and Engheta , N. 1988 . Canonical sources and duality in chiral media . IEEE Trans. Antennas Propagat. , AP-36 : 1007 – 1013 .
   Web of Science ®Google Scholar
• Lakhtakia , A. , Varadan , V. K. and Varadan , V. V. 1989 . Tirne-Harmonic Electromagnetic Fields in Chiral Media , Lecture Notes in Physics Vol. 335 , New York : Springer .
   Google Scholar
• Born , M. 1915 . Über die natürliche optische aktivität von flüssigkeiten und gasen . Physik. Zeitschr. , XVI : 251 – 258 .
   Google Scholar
• Condon , E. U. 1937 . Theories of optical rotatory power . Rev. Mod. Phys. , 9 : 432 – 457 .
   Google Scholar
• Fedorov , F. I. 1959 . On the theory of optical activity in crystals. I. The law of conservation of energy and the optical activity tensors . Opt. Spectrosc. , 6 : 49
   Google Scholar
• Fedorov , F. I. 1959 . On the theory of optical activity in crystals. II. Crystals of cubic symmetry and plane classes of central symmetry . Opt. Spectrosc. , 6 : 237
   Google Scholar
• Bokut' , B. V. and Fedorov , F. I. 1959 . On the theory of optical activity in crystals. III. General equations of normals . Opt. Spectrosc. , 6 : 342
   Google Scholar
• Landau , L. D. , Lifshitz , E. M. and Pitaevskiĭ , L. P. 1984 . Electrodynarrvics of Continuous Media , Oxford : Pergamon .
   Google Scholar
• Karlsson , A. and Kristensson , G. “ Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain ” . In Technical report: LUTEDX/ (TEAT-7005)/1–35/1989 , Sweden : Department of Electromagnetic Theory, Lund Institute of Technology, P.O. Box 118, S-221 00 Lund .
   Google Scholar
• Day , W. A. 1970 . On the monotonicity of the relaxation functions of viscoelastic materials . Proc. Camb. Phil. Soc. , 67 : 503 – 508 .
   Google Scholar
• Day , W. A. 1971 . Time-reversal and the symmetry of the relaxation function of a linear viscoelastic material . Arch. Rat. Mech. Anal. , 40 : 155 – 159 .
   Web of Science ®Google Scholar
• Gurtin , M. E. and Herrera , I. 1965 . On dissipation inequalities and linear viscoelasticity . Quart. Appl. Math. , 23 : 235 – 245 .
   Google Scholar
• Gurtin , M. E. and Sternberg , E. 1962 . On the linear theory of viscoelasticity . Arch. Rat. Mech. Anal. , 11 : 291 – 356 .
   Web of Science ®Google Scholar
• König , H. and Meixner , J. 1958 . Lineare systeme und lineare transformationen . Mathematische Nachrichten , 19 : 265 – 322 .
   Google Scholar
• Jackson , J. D. 1975 . Classical Electrodynamics , New York : Wiley .
   Google Scholar
• Cheo , B. R. 1965 . A reciprocity theorem for electromagnetic fields with general time dependence . IEEE Trans. Antennas Propagat. , AP-13 : 278 – 284 .
   Google Scholar
• Goubau , G. 1960 . A reciprocity theorem for non-periodic fields . IRE Trans. Antennas Propagat. , AP-8 : 339 – 342 .
   Google Scholar
• Kong , J. A. 1970 . Reciprocity relationships for bianisotropic media . Proc. IEEE , 58 : 1966 – 1967 .
   Google Scholar
• Welch , W. J. 1960 . Reciprocity theorems for electromagnetic fields whose time dependence is arbitrary . IRE Trans. Antennas Propagat. , AP-8 : 68 – 73 .
   Google Scholar