摘要
说明了球面行波的索末菲公式在坐标转动下不协变 .证明了球面波的驻波表示是协变的 ,因而是一个物理的关系式 ,故适用于圆柱坐标中各类波动方程的定解问题 .作为一个例 ,应用于光纤光学 ,导出了受导简正模和辐射模的表达式 。
It is observed that the Sommerfeld's formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. It contains complex partial waves that are not physical. The standing wave representation of the same formula is shown to be covariant and physical. It is applied to solve the boundary value problem of fiber optics. The radiation modes as well as the guided normal modes are obtained in closed forms. The intensity distribution in various modes is obtained. It is remarked that the mode of critical refraction is missing.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2001年第6期1097-1102,共6页
Acta Physica Sinica
