标题： 具有高斯和的啁啾准相位匹配用于双光子的产生 显示英文标题

标题： Chirped quasi-phase-matching with Gauss sums for production of biphotons

摘要： 我们研究了在线性啁啾双光子波包理论，该波包产生于两种基本的准相位匹配构型：啁啾光子晶体和非周期极化晶体。 新颖之处在于，这些结构被视为确定的非线性层组装体，从而通过离散高斯和详细描述自发参量下转换（SPDC）过程。 我们证明，涉及少量层数的啁啾光子晶体的双光子频谱由确定且清晰分辨的光谱线组成。 我们还讨论了在两种构型中，随着层数增加以及啁啾参数的变化，信号（闲频）波在SPDC中的宽带频谱形成。 显示英文摘要

摘要： We study the theory of linearly chirped biphoton wave-packets produced in two basic quasi-phase-matching configurations: chirped photonic-like crystals and aperiodically poled crystals. The novelty is that these structures are considered as definite assembles of nonlinear layers that leads to detailed description of spontaneous parametric down-conversion (SPDC) processes through the discrete Gauss sums. We demonstrate that biphoton spectra for chirped photonic crystals involving a small number of layers consist from definite well-resolved spectral lines. We also discuss the forming of broadband spectra of signal (idler) waves in SPDC for both configurations as number of layers increases as well as in dependence of chirping parameters .