【摘要】：利用非線性共軛梯度算法設(shè)計(jì)了無周期光學(xué)超晶格結(jié)構(gòu),研究了文獻(xiàn)[12]提出的誤差函數(shù)在該結(jié)構(gòu)中的適用性.研究結(jié)果表明:誤差函數(shù)能夠很好地適用于無周期光學(xué)超晶格結(jié)構(gòu),且該結(jié)構(gòu)比文獻(xiàn)[12]中所用的非周期光學(xué)超晶格更具有一般性;當(dāng)u′_2(x_n)和n保持很好的線性關(guān)系時(shí),無周期光學(xué)超晶格結(jié)構(gòu)中計(jì)算所得的誤差函數(shù)曲線與文獻(xiàn)[12]中的誤差函數(shù)曲線幾乎是重合的,說明了在無周期光學(xué)超晶格中達(dá)到了很好的準(zhǔn)相位匹配.通過在樣品中引入隨機(jī)誤差進(jìn)一步研究了相位失配情況下誤差函數(shù)在無周期光學(xué)超晶格結(jié)構(gòu)中的適用性,結(jié)果表明:相位失配時(shí)無周期光學(xué)超晶格結(jié)構(gòu)中計(jì)算所得的誤差函數(shù)曲線與標(biāo)準(zhǔn)曲線是有偏離的,且相位失配程度越大,偏離也越大;對(duì)于一些誤差函數(shù)曲線與標(biāo)準(zhǔn)曲線偏離不大的情況,誤差函數(shù)仍可近似地用來估計(jì)無泵浦損耗近似的適用范圍.
[Abstract]:The aperiodic optical superlattice structure is designed by using the nonlinear conjugate gradient algorithm, and the applicability of the error function proposed in reference [12] in this structure is studied. The results show that the error function is suitable for aperiodic optical superlattices, and this structure is more general than the nonperiodic optical superlattices in reference [12]. The error function curve calculated in aperiodic optical superlattice is almost coincident with the error function curve in reference [12], when the linear relationship between u _ 2 (x ~ n) and n is very good, and the error function curve obtained in aperiodic optical superlattice structure is almost identical with that in reference [12]. It is shown that a good quasi-phase matching is achieved in aperiodic optical superlattices. The applicability of the error function in aperiodic optical superlattices in the case of phase mismatch is further studied by introducing random errors into the samples. The results show that the error function curves calculated in aperiodic optical superlattices with phase mismatch are deviated from the standard curves, and the larger the phase mismatch is, the larger the deviation is. For some cases where there is little deviation between the error function curve and the standard curve, the error function can still be approximately used to estimate the applicable range of the non-pump loss approximation.
【作者單位】： 晉中學(xué)院信息技術(shù)與工程學(xué)院;首都師范大學(xué)物理系理論物理中心;
【基金】：The National Natural Science Foundation of China(Nos.11274233,11004139) the Natural Science Foundation of Beijing(No.1102012)
【分類號(hào)】：O437

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