Approximate formulas are obtained for the electromagnetic pulses due to a delta-function current in a vertical electric dipole on\nthe planar surface of a perfect conductor coated by a dielectric layer. The new approximated formulas for the electromagnetic field\nin time domain are retreated analytically and some new results are obtained. Computations and discussions are carried out for\nthe time-domain field components radiated by a vertical electric dipole in the presence of three-layered region. It is shown that the\ntrapped-surface-wave terms should be included in the total transient field when both the vertical electric dipole and the observation\npoint are on or near the planar surface of the dielectric-coated earth.
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