J4 ›› 2009, Vol. 26 ›› Issue (6): 750-756.

• 纤维与波导光学 • 上一篇    

光在非均匀介质中反射和透射系数的精确解析

吴朗   

  1. 宜春学院物理科学与工程技术学院,江西 宜春 336000
  • 发布日期:2009-11-03
  • 通讯作者: 吴朗(1956-),男,汉族,江西萍乡人,副教授,研究方向:数学物理. E-mail:wulang562004@126.com

Exact expression of light reflection and transmission in inhomogeneous medium

WU Lang   

  1. School of physics science & engineering technology, Yichun University, Yichun, 336000,China
  • Online:2009-11-03

摘要:

对任意非均匀介质波导通过分层转化为多层波导再利用分析转移矩阵方法(ATMM)考虑层间子波相移的贡献,定义了包含主波和子波的总波数(General Wave Number),得到了光在非均匀平板介质波导结构中传输的反射系数和透射系数表达式。从推导过程和解析式表明:推导过程没有引入任何的近似得到的结论是可靠精确的;解析式本身非常简明且物理意义清晰;所得到的解析式既适合于折射率均匀的分层结构又适合于折射率非均匀变化的各种复杂结构。预计在薄膜加工工艺中具有非常广泛的的应用前景。

关键词: 分析转移矩阵方法, WKB法, 反射, 透射

Abstract:

An exact formula of reflection coefficient and transmission coefficient suitable for arbitrary inhomogeneous medium waveguide is derived by defining general wave number and using the analytical transfer matrix method which is considered sub-wave phase shift. Results show that the reflection coefficient and transmission coefficient are very simple and very clear. And the formula is suitable for not only arbitrary inhomogeneous medium waveguide, but also arbitrary homogeneous medium waveguide in the refractive index. It is expected that this technology has very broad application prospects in the thin-film machining processing.

Key words: analytical transfer matrix method, WKB method, reflection, transimission