Enhanced second-order nonlinear susceptibility in type-II asymmetric quantum well structures

Stephen T. Schaefer, Zheng Ju, Xiaoyang Liu, Xin Qi, Jacob B. Khurgin, Yong-Hang Zhang
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Abstract

Asymmetric quantum wells (AQWs) utilizing interband transitions enhance second-order susceptibility over a wide wavelength range compared to natural crystals. The nonlinear susceptibility is further enhanced in AQWs with type-II band alignment as compared to type-I band alignment, a result of the larger interband charge shift. This enhancement is demonstrated in this work by analyzing three type-I and type-II AQW designs based on the lattice-matched InP/AlGaInAs materials systems using the envelope wavefunction approximation. The calculated interband second-order susceptibility tensor elements in type-II structures range between 20 and 1.60 × 103 pm/V for nearly resonant optical rectification and difference frequency generation applications at near-infrared and terahertz wavelengths, an improvement of nearly 1 order of magnitude over the type-I structures and 1–2 orders of magnitude over natural crystals such as LiNbO3, KTiOPO4 (KTP), or GaAs. A factor of 2–3 further enhancement of the tensor elements is achieved by optimizing the well widths and band offsets of the type-II asymmetric quantum wells. The type-II structure can be implemented in other material systems spanning the longwave infrared to visible wavelengths, enhancing nonlinear susceptibility for various applications, including photonic integrated circuits.
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II 型非对称量子阱结构中增强的二阶非线性易感性
与天然晶体相比,利用带间跃迁的不对称量子阱(AQWs)可在很宽的波长范围内提高二阶电感。与 I 型带排列相比,具有 II 型带排列的非对称量子阱的非线性电感进一步增强,这是由于带间电荷转移更大的结果。本研究利用包络波函数近似法分析了基于晶格匹配的 InP/AlGaInAs 材料系统的三种 I 型和 II 型 AQW 设计,证明了这种增强。计算得出的 II 型结构带间二阶感性张量元素在 20 到 1.60 × 103 pm/V 之间,适用于近红外和太赫兹波长的近谐振光整流和差频发生应用,比 I 型结构提高了近 1 个数量级,比 LiNbO3、KTiOPO4 (KTP) 或 GaAs 等天然晶体提高了 1-2 个数量级。通过优化 II 型非对称量子阱的阱宽和带偏移,张量元素可进一步提高 2-3 倍。这种 II 型结构可应用于从长波红外到可见光波长的其他材料系统中,从而增强非线性感性,以满足包括光子集成电路在内的各种应用。
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