## Reciprocity, Spatial Mapping and Time Reversal in ElectromagneticsThe choice of topics in this book may seem somewhat arbitrary, even though we have attempted to organize them in a logical structure. The contents reflect the path of 'search and discovery' followed by us, on and off, for the in fact last twenty years. In the winter of 1970-71 one of the authors (C. A. ), on sah baticalleave with L. R. O. Storey's research team at the Groupe de Recherches Ionospheriques at Saint-Maur in France, had been finding almost exact symme tries in the computed reflection and transmission matrices for plane-stratified magnetoplasmas when symmetrically related directions of incidence were com pared. At the suggestion of the other author (K. S. , also on leave at the same institute), the complex conjugate wave fields, used to construct the eigenmode amplitudes via the mean Poynting flux densities, were replaced by the adjoint wave fields that would propagate in a medium with transposed constitutve tensors, et voila, a scattering theorem-'reciprocity in k-space'-was found in the computer output. To prove the result analytically one had to investigate the properties of the adjoint Maxwell system, and the two independent proofs that followed, in 1975 and 1979, proceeded respectively via the matrizant method and the thin-layer scattering-matrix method for solving the scattering problem, according to the personal preferences of each of the authors. The proof given in Chap. 2 of this book, based on the hindsight provided by our later results, is simpler and much more concise. |

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### Contents

III | 6 |

IV | 12 |

V | 19 |

VI | 23 |

VII | 27 |

VIII | 29 |

IX | 35 |

X | 44 |

LVII | 150 |

LVIII | 156 |

LIX | 158 |

LX | 160 |

LXI | 162 |

LXII | 165 |

LXIII | 169 |

LXIV | 170 |

XI | 53 |

XII | 54 |

XIII | 59 |

XIV | 61 |

XV | 62 |

XVI | 63 |

XVII | 65 |

XVIII | 66 |

XIX | 67 |

XX | 69 |

XXI | 71 |

XXII | 74 |

XXIII | 76 |

XXIV | 79 |

XXV | 80 |

XXVI | 82 |

XXVII | 84 |

XXVIII | 85 |

XXIX | 87 |

XXX | 90 |

XXXI | 91 |

XXXII | 94 |

XXXIII | 97 |

XXXIV | 99 |

XXXV | 100 |

XXXVI | 102 |

XXXVII | 103 |

XXXVIII | 104 |

XXXIX | 107 |

XL | 108 |

XLI | 111 |

XLII | 113 |

XLIII | 117 |

XLIV | 120 |

XLV | 122 |

XLVI | 125 |

XLVII | 127 |

XLVIII | 130 |

XLIX | 131 |

L | 133 |

LI | 135 |

LII | 137 |

LIII | 139 |

LV | 145 |

LVI | 146 |

LXV | 173 |

LXVI | 174 |

LXVII | 177 |

LXVIII | 180 |

LXIX | 181 |

LXX | 183 |

LXXI | 185 |

LXXII | 186 |

LXXIII | 187 |

LXXIV | 188 |

LXXV | 189 |

LXXVI | 192 |

LXXVII | 195 |

LXXVIII | 198 |

LXXIX | 199 |

LXXX | 202 |

LXXXI | 204 |

LXXXII | 207 |

LXXXIII | 211 |

LXXXIV | 212 |

LXXXV | 215 |

LXXXVI | 217 |

LXXXVII | 218 |

LXXXVIII | 222 |

LXXXIX | 224 |

XC | 226 |

XCI | 228 |

XCII | 230 |

XCIII | 235 |

XCV | 238 |

XCVI | 240 |

XCVII | 241 |

XCVIII | 243 |

XCIX | 246 |

C | 248 |

CI | 252 |

CII | 254 |

CIII | 256 |

CIV | 259 |

CV | 261 |

CVI | 270 |

CVII | 271 |

279 | |

### Other editions - View all

Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics C. Altman,K. Suchy Limited preview - 2013 |

Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics C. Altman,K. Suchy Limited preview - 2011 |

Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics C. Altman,K. Suchy No preview available - 2014 |

### Common terms and phrases

adjoint eigenmodes Altman amplitudes anisotropic anisotropic media antenna applied axial vector bianisotropic bilinear concomitant vector biorthogonality Budden chiral coefﬁcients complex conjugate components conjugate medium conjugate system constitutive tensor current distribution currents and ﬁelds deﬁned density derived differential operator direction downgoing eigenmode amplitudes eigenvalues eigenvectors electromagnetic equivalent external magnetic ﬁeld ﬁelds and currents ﬁnally ﬁnd ﬁrst formally adjoint free space frequency given and adjoint given and conjugate given medium Green’s function integration ionosphere isotropic k-space Lagrange identity layer Lorentz-adjoint Lorentz-adjoint medium loss-free magnetic meridian plane magnetoplasma Maxwell system Maxwell’s equations modal amplitudes normal orthogonal mapping outgoing physical plane of incidence plane wave plane-stratiﬁed media plane-wave plasma polarization Poynting vector propagation reciprocity relation reﬂection and transmission reﬂection mapping refractive index reversal rotation scattering matrix sgn(a solutions spatial speciﬁc stratiﬁcation Suchy symmetry time-reversed transformation transmission matrices transposed transverse upgoing wave ﬁelds wave vectors whistler yields z-component

### Popular passages

Page v - ... Mathematics at University College, London. In February 1880 he was appointed Professor of Mathematics at the Mason Science College, Birmingham, commencing work there in the following October on the opening of the College. In 1883 he took the degree of MA in the University of Cambridge, was elected a Fellow of the Cambridge Philosophical Society, and a member of the London Mathematical Society. In 1884 he was appointed Professor of Mathematics at University College, London, acting as Dean of the...

Page 269 - Schatzberg [1985], Orthogonal mappings of time-harmonic electromagnetic fields in inhomogeneous (bi)anisotropic media. Radio Sci., 20, 149-160.