束缚电子[Bound Electrons] - 达人(其实～我是卧底，来自外星)

2005/07/08 | 束缚电子[Bound Electrons]
类别(Ω〖物理〗) | 评论(0) | 阅读(60) | 发表于 21:06: Bound electrons, with resonant frequency being forced by a sinusoidal electric field
(1)

will obey the equation of motion
(2)

where is the charge on the electron and m is its mass. The solution is
(3)

Given a dipole number density of N, the polarization is
(4)

From the definition of polarization,
(5)

where is the permittivity of free space. Using the Maxwell relation for index of refraction,
(6)

This result can be derived rigorously from quantum mechanics in a slightly different form
(7)

where are the oscillator strengths (or transition probabilities), and
(8)

Including a damping term, the equation becomes
(9)

In a dense medium, the polarization adds an electric field
(10)

leading to
(11)

If n increases with ,it is called normal dispersion. If it decrease with increasing ,it is called anomalous dispersion.; 0