## 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 - 2011 |

### Common terms and phrases

adjoint eigenmodes Altman amplitudes anisotropic antenna applied axial vector bianisotropic bilinear concomitant vector biorthogonality Budden Chap chiral components conjugate medium conjugate system constitutive tensor current distribution currents and fields density derived direction dēr downgoing eigenmode amplitudes eigenmodes eigenvalues eigenvectors electric equivalent external magnetic field fields and currents free space frequency given and adjoint given and conjugate given medium Green's function gyrotropic integration ionosphere isotropic k-space Lagrange identity layer linear Lorentz-adjoint Lorentz-adjoint medium loss-free magnetic field magnetic meridian plane magnetoplasma Maxwell system Maxwell's equations modal amplitudes normal orthogonal mapping outgoing physical plane of incidence plane-stratified media plane-wave plasma polarization Poynting flux Poynting vector propagation reflection and transmission reflection mapping reversal rotation scattering matrix slab ſē solutions spatial stratification symmetry time-reversed transformation transmission matrices transposed transverse upgoing wave fields wave vectors whistler yields z-axis z-component