The Lateral Shift of Reflected Inhomogeneous Electromagnetic Wave on the Interface of Conductive Media

Abstract

For inhomogeneous electromagnetic wave, we use the phase shift of reflection coefficient on the conductive interface to derive the lateral shift of reflected wave, and draw the curves of lateral shift. The results show that the lateral shift increases with increasing incident angle. As the incident angle approaches 90°, electromagnetic wave will propagate for a long distance before returning to the first medium. When the incident angles are the same, the lateral shift of electromagnetic wave whose polarization direction of electric field is in the incident plane will be longer than that whose polarization direction of electric field is perpendicular to the incident plane. With the frequency increasing, the lateral shift becomes smaller.

The research progress on lateral shift of reflected electromagnetic wave at the interface of two conductive media

“…[16] was different from that of Xu's. Besides the distinction of propagating path of wave, the deriving methods in the Snell's formulae were also different.…”

“…In a conductive medium, because of the attenuation of electromagnetic wave, the directions of α and β are inconsistent in most cases [14][15][16] .…”

“…When the electromagnetic wave propagates along the interface of two conductive media, the wave vector becomes a complex wave vector [14,16] , whose real part is called phase shift vector α (the direction is along the wave propagation), and imaginary part denotes the amplitude attenuation vector β [14] (its direction is along the amplitude attenuation). In a conductive medium, because of the attenuation of electromagnetic wave, the directions of α and β are inconsistent in most cases [14][15][16] .…”

“…In ref. [16], the Snell's formulae were given by the decomposing method of complex wave vectors). In order to denote the inconsistency in α and β directions, ref.…”

“…In recent years, Liu et al [16][17][18][19][20][21] have ever explored theoretically the lateral shift of reflected electromagnetic wave at the interface of two conductive media, especially for the purpose of electromagnetic wave logging. They provided the analytic formulae for the quasi-total reflection wave lateral shift, and analyzed the error brought by the lateral shift of P-polarized electromagnetic wave (P-PEW, whose electric field was parallel to the plane of incidence).…”