矩阵理论在半导体激光器耦合中的应用

傍轴近似下的光学矩阵理论，可以简化光束传输计算过程，使光学系统设计更为方便。将ABCD变换矩阵方法引入到耦合光学系统的设计中，运用高斯光束的ABCD法则，详尽地给出了某一耦合方式下的半导体激光器耦合入单模光纤系统的设计；另一方面，对系统的耦合损耗与耦合距离的关系进行了理论计算，并把计算结果与最近的实验报道做了比较，它们基本相吻合，说明此方法是可行的、合理的。从整个设计及理论计算来看，ABCD矩阵方法减少了复杂的计算，从而简化了设计过程，与通常的衍射计算相比，它不失为一种方便、有效的方法，同时它对生产半导体

The optical matrix under paraxial approximation can make the calculation of optical transmission easy and convenient in designing optical system. The ABCD transformation matrix method for the coupling optical system design is introduced, using the ABCD law of the Gaussian beam. The design of a coupling system of semiconductor laser diode to single-mode fiber is given in detail; additionally, the changes of the coupling loss with the coupling distance of the system are calculated, and then the recently reported results are compared, they roughly agree with each other, which shows the method is feasible. From the whole design and the calculation for coupling efficiency, the ABCD matrix makes the design easier and reduces the cumbersome calculation. Compared with general diffraction calculation, it is a convenient and effective method and it can give some instructional suggestion for fabricating the semiconductor laser diode coupler.