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Electromagnetic Waves and Antennas combined - Chapter 7

Oblique Incidence Trong sự phân cực vuông góc, còn được gọi là phân cực-s, † σ-phân cực, hoặc phân cực TE, điện trường vuông góc với mặt phẳng tới (theo hướng-y) và ngang để hướng-z, và các lĩnh vực từ tính nằm trên máy bay đó. Con số này cho thấy các góc tới và phản ánh để được như vậy hai bên. Đây là định luật Snel † phản ánh và là một hệ quả của các điều kiện biên. Con số này cũng ngụ ý rằng hai máy bay tới và hai máy bay phản ánh tất cả. | 7 Oblique Incidence 7.1 Oblique Incidence and Snel s Laws With some redefinitions the formalism of transfer matrices and wave impedances for normal incidence translates almost verbatim to the case of oblique incidence. By separating the fields into transverse and longitudinal components with respect to the direction the dielectrics are stacked the z-direction we show that the transverse components satisfy the identical transfer matrix relationships as in the case of normal incidence provided we replace the media impedances t by the transverse impedances riT defined below. Fig. 7.1.1 depicts plane waves incident from both sides onto a planar interface separating two media e e . Both cases of parallel and perpendicular polarizations are shown. In parallel polarization also known as p-polarization 7T-polarization or TM polarization the electric fields he on the plane of incidence and the magnetic fields are Fig. 7.1.1 Oblique incidence for TM- and TE-polarized waves. 7.1. Oblique Incidence and Snel s Laws 241 perpendicular to that plane along the y-direction and ưansverse to the z-direction. In perpendicular polarization also known as s-polarization t Ơ -polarization or TE polarization the electric fields are perpendicular to the plane of incidence along the y-direction and ưansverse to the z-direction and the magnetic fields he on that plane. The figure shows the angles of incidence and reflection to be the same on either side. This is Snel s lawt of reflection and is a consequence of the boundary conditions. The figure also implies that the two planes of incidence and two planes of reflection all coincide with the xz-plane. This is also a consequence of the boundary conditions. Starting with arbitrary wavevectors k iikx ỹky zkz and similarly for k the incident and reflected electric fields at the two sides will have the general forms E e Jk r E-e Jk-r E _e-Jk -r The boundary conditions state that the net transverse tangential component of the electric held must be .