Cylindrical wave diffraction by a slit in an infinite, plane, perfectly conducting barrier in a homogeneous biisotropic medium is investigated. The source point is assumed far from the slit so that the incident cylindrical wave is locally plane. The slit is wide and the barrier thin, both with respect to wavelength. The boundary value problem is reduced to a Wiener-Hopf equation and solved approximately
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The propagation in sea water of a low-frequency electromagnetic pulse generated by an electric dipole is investigated. The electric dipole is excited by a rectangular Gaussion pulse. The frequency-domain formula for the downward-travelling field is Fourier transformed to obtain an explicit expression for field at any distance in the time domain. The propagation of a rectangular Gaussian pulse as an envelope for a low-frequency burst is also analysed and its anomalous behaviour is determined. Graphs for amplitudes of a single rectangular Gaussian pulse and a burst are displayed and discussed for a range of distances.
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In this work, the two Couette flows of a second grade fluid are discussed in a porous layer when (i) bottom plate moves suddenly (ii) bottom plate oscillates. Laplace transform method is used to determine the analytic solutions. Expressions for the velocities, volume fluxes and frictional forces are constructed.
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