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,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应用前景.
An exact formula of reflection coefficient and transmission coefficient suitable for arbitrary inho-mogeneous 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 clear. And the formula is suitable for not only arbitrary inh-mogeneous medium waveguide, but also arbitrary homogeneous medium waveguide in the refractive index.It is expected that this technology has prospects in the thin-film machining processing.
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