各向同性介质的三阶非线性极化统一理论

Universal theory of third-order nonlinear polarization in isotropic media

探讨了入射至各向同性介质的不同频率的多光束;推导了三阶非线性极化矢量形式的表达式,并利用它解释了多个已知且独立的非线性光学现象,验证了该表达式的普适性和正确性.结果表明,三阶非线性极化矢量形式的表达式可为各向同性介质中的三阶非线性光学效应提供统一描述;将其拓展至六角晶系材料,能对各种复杂问题提供简单的处理方式.这对于系统地理解各向同性介质和六角晶系材料中的三阶非线性光学效应具有重要意义,有望促进非线性光学在频率转换、偏振态检测和量子信息等领域中的应用.

Vector expression of third-order nonlinear polarization in isotropic media is derived,which is suitable for multiple beams incidence with different frequencies.This expression is applied to elucidate multiple well-known and distinct nonlinear optical phenomena,thereby validating its universality and accuracy.This offers a unified description of third-order nonlinear optical effects in isotropic media.By extending its application to hexagonal materials,this expression offers straightforward solutions to a variety of complex cases.This study is crucial for a systematic understanding of third-order nonlinear optical effects in both isotropic media and hexagonal materials,with the potential to enhance application of nonlinear optics in fields such as frequency conversion,polarization detection,and quantum information.