Villalaz Ricardo A, Glytsis Elias N, Gaylord Thomas K
School of Electrical and Computer Engineering, Microelectronics Research Center and Packaging Research Center, Georgia Institute of Technology, Atlanta 30332-0250, USA.
Appl Opt. 2002 Sep 1;41(25):5223-9. doi: 10.1364/ao.41.005223.
We analyze the polarization-dependent performance and the loss performance of volume grating couplers using a leaky-mode approach in conjunction with rigorous coupled-wave analysis for two configurations: the volume grating in the cover layer and the volume grating in the waveguide. The angular dependence of TE and TM polarization coupling efficiency is studied, and designs for polarization-dependent and polarization-independent couplers are presented for both configurations. Polarization-dependent couplers are obtained with an outcoupling angle close to normal. Polarization-independent couplers are obtained with outcoupling angles away from normal, 46.7 deg in the case of a volume grating in the cover layer and 54.4 deg in the case of a volume grating in the waveguide. The effect of loss on coupler performance is also analyzed. It is found that, for cases of practical importance, the effect of lossy coupler materials is small. The estimated loss for a commercially available material is 5 dB/cm. For TE-polarized light and the volume grating in the waveguide, a loss of this magnitude reduces the coupling efficiency by less than 3%, whereas in the case of the volume grating in the cover layer, it reduces the coupling efficiency by less than 0.3%.
我们采用泄漏模式方法并结合严格耦合波分析,针对两种配置(覆盖层中的体光栅和波导中的体光栅)分析了体光栅耦合器的偏振相关性能和损耗性能。研究了TE和TM偏振耦合效率的角度依赖性,并针对这两种配置给出了偏振相关耦合器和偏振无关耦合器的设计。在出射角接近法线的情况下获得了偏振相关耦合器。在出射角远离法线的情况下获得了偏振无关耦合器,对于覆盖层中的体光栅,出射角为46.7度,对于波导中的体光栅,出射角为54.4度。还分析了损耗对耦合器性能的影响。结果发现,对于实际重要的情况,有损耗的耦合器材料的影响很小。一种市售材料的估计损耗为5 dB/cm。对于TE偏振光和波导中的体光栅,这种量级的损耗使耦合效率降低不到3%,而对于覆盖层中的体光栅,它使耦合效率降低不到0.3%。