在简介斐波那契类 (Fibonacci class)准晶 (FC(n) )的特征基础上 ,在小信号、平面波近似下详细地研究了通过N层按斐波那契类准周期系列排布的铁电畴超晶格的二次谐波光场的谱性质 .发现其谱的极强峰在实空间 ,在不考虑介质色散效应的情况下 ,具有完美的自相似性 ;对于具有线性色散效应的铁电晶体 ,其谱在实空间也具有相同的结论 ;而对于具有非线性色散效应的铁电介质 ,极强峰的这种自相似性将被破坏 .另外 ,二次谐波光的暗线处将存在缺级效应 ;亮线处则无缺级效应 Based on the characterization of the Fibonacci quasicrystal (FC (n)), a series of Fibonacci pseudo-periodic series of N layers are studied under small signal and plane wave approximation The spectral properties of the second harmonic light field in the superlattice of ferroelectric domain show that the very strong peak of its spectrum is in real space and has perfect self-similarity without considering the dispersion effect of the medium. For the system with linear dispersion effect Of the ferroelectric crystal, the spectrum in the real space also have the same conclusion; and for non-linear dispersion of ferroelectrics, very strong peak of this self-similarity will be destroyed.In addition, the second harmonic light at the dark line There will be a lack of effect; bright line there is no lack of effect