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arXiv 2310.05071cond-mat.mes-hall
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半导体超晶格倍频器中高次谐波产生的解析解研究进展

Progress in Analytical Solutions for High Order Harmonic Generation in Semiconductor Superlattice Multipliers

Abdullah Al-Ateqi, Mauro Fernandes Pereira

AI总结:

针对半导体超晶格高次谐波建模现有方案的噪声与谐波丢失问题,提出修正逻辑函数拟设,可保留50阶高次奇次谐波且消除数值噪声,提供更高效稳健的解析建模方法。

摘要:

本研究针对现有半导体超晶格(SSLs)高次谐波建模方案的局限性展开研究。早期研究提出的阶跃函数拟设虽能有效建模高次偶次与奇次谐波,但会引入数值噪声;后续采用逻辑函数的改进方案解决了噪声问题,却丢失了高次奇次谐波。为同时突破这两类局限,我们分析了阶跃函数间断点处y轴截距值的影响,提出一种修正逻辑函数作为新拟设。该修正逻辑函数可输出准确结果,既能像原有拟设一样保留直至50阶的高次奇次谐波,又能消除数值噪声。本研究为SSLs建模提供了更高效稳健的解析方法,显著规避了耗时的数值求解,也深化了我们对GHz-THz器件中非线性现象的理解。

英文摘要:

In this study, we address the limitations of previous solutions for modeling high-order harmonics in semiconductor superlattices (SSLs). Earlier research proposed a step function ansatz that effectively modeled high-order even and odd harmonics but introduced numerical noise. An upgrade using a logistic function addressed the noise problem but eliminated high-order odd harmonics. To overcome both limitations, we examined the impact of the y-intercept value in the discontinuity of the step function and proposed a modified logistic function as a new ansatz. The modified logistic function delivers accurate results, preserving high-order odd harmonics up to the 50th order similar to the previous ansatz while also eliminating numerical noise. This research contributes to a more efficient and robust analytical approach for modeling SSLs, notably by avoiding time-consuming numerical solutions and enhancing our understanding of nonlinear phenomena in GHz-THz devices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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