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Theoretical and Experimental Investigation of Efficient Photonic Crystal Cavity-Waveguide Couplers

机译:高效光子晶体腔 - 波导耦合器的理论与实验研究

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Coupling of photonic crystal (PC) linear three-hole defect cavities to PC waveguides is theoretically and experimentally investigated. An improved coupling is obtained by tilting the cavity axis by 60° with respect to the waveguide direction. Structures that consist of InGaAs/GaAs quantum dots (QDs) coupled to two-dimensional photonic crystal cavities (PCC) are promising candidates for highly efficient single photon sources (SPS). They represent essential devices for quantum cryptography and quantum computation. In order to efficiently implement quantum computation devices one would need to integrate photonic circuits directly on the chip. These circuits consist of SPSs that inject single photons into the waveguides, which redirects them to other quantum nodes, i.e. other PC cavities containing QDs. Once the necessary quantum operations have been performed, photons need to be outcoupled from the waveguide either out of PC plane for vertical collection (e.g. by coupling the photons back into an "output cavity" that scatters them out of plane), or collected in PC plane (e.g. by outcoupling to a fiber) The performance of this kind of circuit is limited by the coupling efficiency between the cavities and the waveguides. Our work investigates this coupling with the goal of improving the efficiency of single photon transmission from one cavity to another. To get efficient coupling, the modes of the cavity and the waveguide need to be spatially overlapped and frequency matched [1]. Photonic crystals exhibit three types of loss mechanisms: in-plane loss, out-of-plane loss, and loss due to imperfections in fabrication and absorption inside the material. These loss mechanisms are considered independent and a quality factor is associated with each one of them: Q{sub}‖ for in-plane, Q{sub}⊥ for out-of-plane and Q{sub}(other) for material loss and fabrication imperfections. The total quality factor of the system is given by the formula [2]: 1/Q{sub}(tot) = 1/Q{sub}‖ + 1/Q{sub}⊥ + 1/Q{sub}(other) = 1/Q{sub}‖ + 1/Q{sub}c (1) For a good single photon transfer, the in-plane coupling into the waveguide modes needs to be dominant so Q{sub}‖ should be lower than Q{sub}c. On the other hand, good single photon sources require cavities with a quality factor higher than ~10{sup}3 which implies Q{sub}‖ > 10{sup}3. For other applications single photons need to be scattered out of plane from a PC waveguide through an output cavity. In order to achieve high transfer efficiency from waveguides to the output cavities, the cavity-waveguide system needs to be in the critical coupling regime defined by Q{sub}‖ = Q{sub}⊥. In that case, the output cavity does not need to be one with a very high quality factor. We have previously fabricated single photon sources based on single and three hole defect (L3) PCCs with quality factors Q{sub}c~5000 [3]. Therefore, for a considerable fraction of the power to be dissipated in the waveguide, Q{sub}‖~5000 is needed. The evanescent tail of the L3 cavity field is mainly concentrated along directions inclined by π/6 with respect to the cavity axis [Fig. l]. This can be explained by the anti-symmetry of the mode along the cavity axis and the high effectiveness of the PC mirrors along 0 and π/3 directions. Because of the periodic structure of the PC, waveguides can be brought near the cavity only along the 0 and π/3 directions. Since the 0 direction overlaps the low-filed intensity region, we choose to draw the waveguide along the π/3 direction (as opposed to the standard approach, where the waveguide axis is aligned with that of the cavity mode). Three dimensional finite difference time domain simulations have been performed to determine the quality factor associated with the coupling of the L3 cavity to the waveguide. Two distinct configurations have been tested (Fig.2), named "angled" and "straight". In the straight configuration, the waveguide is butt-coupled along the cavity axis while in the angled configuration the dire
机译:被理论和实验研究光子晶体(PC)线性三孔缺陷空腔PC波导的耦合。一种改进的耦合是通过60°相对于所述波导方向倾斜空腔轴线获得。其包括耦接至二维光子晶体的腔(PCC)的InGaAs / GaAs量子点(QD)的结构被用于高效率的单光子源(SPS)希望的候选。他们代表了量子密码学和量子计算必不可少的设备。为了有效地实现量子计算设备的人会需要直接在芯片上光子电路集成。这些电路包括的SPS该注入单光子转换成波导,其中它们重定向到其他量子节点,包含量子点即其他PC空腔。一旦必要的量子操作已经被执行,光子需要从波导外耦合或者脱离PC平面垂直集合(由光子耦合例如放回“输出腔”其飞散出来平面的),或在PC收集平面(例如,由输出耦合到光纤)这种电路的性能由空腔和所述波导之间的耦合效率的限制。我们的工作与调查从一个腔到另一个提高单光子传输的效率的目标这种耦合。为了获得高效耦合,腔和波导需要的模式在空间上重叠并匹配频率[1]。光子晶体呈现出三种类型的损耗机制:面内的损失,出平面外损失,损耗,由于制造和吸收材料内部的缺陷。这些损失机制被认为是独立的,质量因子与它们中的每一个相关联:Q {子}‖对于平面内,Q {子}⊥为外的平面和Q {子}(除外)的材料损失和制造缺陷。所述系统的总质量因子由下式给出[2]:1 / Q {子}(TOT)= 1 / Q {子}‖+ 1 / Q {子}⊥+ 1 / Q {子}(其他)= 1 / Q {子}‖+ 1 / Q {子} C(1)对于一个好的单光子转移,面内耦合到波导模式需要是主导所以Q {子}‖应低于Q {}子℃。在另一方面,良好的单光子源需要具有品质因数大于〜10 {SUP} 3其中蕴含Q {}子‖> 10 {SUP} 3更高的空腔。对于其它应用单光子需要被平面的从PC波导通过输出腔散出去。为了实现从波导到输出腔高的转印效率,空腔波导系统需要是在由Q {}子限定的临界耦合政权‖= Q {}子⊥。在这种情况下,输出腔并不需要是一个具有非常高的品质因数。我们先前已经制造基于单和三个孔缺陷(L3)的PCC与品质因数Q {}子C〜5000 [3]的单光子源。因此,对于电力的相当大的部分在波导被耗散,需要Q {}子‖〜5000。该L3腔场的渐逝尾部主要集中沿着由π/ 6相对于所述腔轴线图倾斜的方向。 1]。这可通过沿着所述腔轴线的模式和PC反射镜沿0的高效力和π/ 3的方向的反对称性进行说明。因为PC的周期结构的,波导可以在空腔附近仅沿0和π/ 3的方向提起。由于0方向重叠的低日提交强度区域,我们选择绘制沿π/ 3方向的波导(相对于标准方法,其中波导轴线与该腔模的对齐)。三维有限差分时域仿真已经执行,以确定与腔体L3到波导的耦合相关联的品质因数。两种不同的配置进行了测试(图2),命名为“倾斜”和“直”。在直的构型中,波导是对接耦合沿着空腔轴线而在倾斜配置的可怕

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