论文标题
修改对菲涅尔公式进行放大或减弱的内部反射
Modification to the Fresnel formulas for amplified or attenuated internal reflection
论文作者
论文摘要
本研究解决了从扩增或衰减培养基中平面波的总内部反射的问题。检查具有放大或衰减覆层的非对称平面波导的模态增益或丢失的表达，这使我们达到了扩增或减弱内部反射的系数。派生的公式表明一种解释，即折射不均匀的平面波会进行放大或衰减，而它的行驶距离等于沿边界平面的鹅hänchen偏移，然后再回到高点介质。此外，讨论了低索引培养基中的evanevencent波。与透明的情况不同，poynting载体被证明具有垂直于边界平面的无裂变的时间平均分量。
The present study addresses the question of total internal reflection of a plane wave from an amplifying or attenuating medium. Inspection on the expressions for the modal gain or loss of an asymmetric planar waveguide having an amplifying or attenuating cladding has led us to the coefficients for amplified or attenuated internal reflection. The derived formulas suggest an interpretation that the refracted inhomogeneous plane wave undergoes amplification or attenuation while it travels a distance equal to the Goos-Hänchen shift along the boundary plane before going back into the high-index medium. Furthermore, the evanescent wave in the low-index medium is discussed. Unlike the transparent case, the Poynting vector is shown to have a nonvanishing time-averaged component perpendicular to the boundary plane.
