The second-order vector bits of the harmonic electric dipole in spherical coordinates

second-order vector bits;  electromagnetic fields;  Time-harmonic electric dipoles

When the superposition principle is used to solve the electromagnetic field vector edge value problem where the excitation source is a time-harmonic electric dipole, the second-order vector bits can be introduced to convert the vector problem into a scalar problem, and the second-order vector bits of the time-harmonic electric dipoles in infinite space must be obtained first. Using the transformation relationship between special functions and the reciprocity theorem, the second-order vector bits of time-harmonic electric dipoles in infinite space in spherical coordinates are derived from the magnetic vector bits of time-harmonic electric dipoles in infinite space. The form of second-order vector bits is more complex than that of magnetic vector bits, but in order to easily use the boundary conditions after the introduction of second-order vector bits, this conversion from simple to complex is necessary.