By Anthony Mascarenhas

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The network describes the antennas as well as the region of space where transmission occurs. e. < a, b >=< b, a >. 23: Two antenna system. 24: The representation of the two antenna system by a two-port network. For perfectly conducting antennas, the tangential components of the electric fields are zero on the antenna, while producing voltages at the terminal pairs. 149) which is a direct consequence of reciprocity. Since the two antennas may represent any network, it is also proved that any network made by linear isotropic matter has a symmetrical impedance matrix.

229) each term depends on only one coordinate. The various terms depending on the x, y, z coordinates are linked only via k2. 230) is often called the separation equation. e. 27: Cylindrical coordinate system. 233) and these solutions are often referred to as elementary wave functions. It is noted that the vector k = (kx, ky, kZ) indicates the propagation direction and the type of field. In particular for | k |< k0 we have a field which is free to propagate in space, thus a radiative field, while for | k |> k0 the field is attenuated, at least in one direction, thus representing a localised, reactive field.

2 Cylindrical Wave Expansion When boundaries coincide with cylindrical coordinate surfaces, it is expedient to solve the Helmholtz equation in cylindrical coordinates. Even when no finite boundaries are present, if we have an a priori knowledge that the field has cylindrical wavefronts it is obviously advantageous to represent the field in this coordinate system. It is therefore important to investigate solutions of the Helmholtz equation in cylindrical coordinates. 198]. 236) In the above equation, the first term will be seen to depend only on ρ, the second only on Φ, and the third only on z.

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The Rape of Bangla Desh by Anthony Mascarenhas

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