The erf beam is a type of“perfect self-similar beam”characterized by a scaling transverse profile and constant intensity during free-space propagation.We demonstrate its natural emergence in the second-order nonline...The erf beam is a type of“perfect self-similar beam”characterized by a scaling transverse profile and constant intensity during free-space propagation.We demonstrate its natural emergence in the second-order nonlinear process in domain engineering materials,where the phase discontinuity at the domain wall directly gives rise to an erf beam under Fresnel diffraction.More importantly,domain walls can be regarded as fundamental excitation units phenomenologically,enabling the construction of complex harmonic fields through the superposition of individual erf beams.This provides a foundational framework for analyzing harmonic fields from complex structures and a design strategy for domain engineering materials.We experimentally verify the nonlinear method for generating erf beams using a poled LiTaO3crystal,and the results agree well with the predicted self-similar properties.The simplicity of this approach may facilitate its potential for practical applications.展开更多
基金National Key Research and Development Program of China (2022YFA1405000, 2022YFA1205100)National Natural Science Foundation of China (12274214,12474327, 92463304)。
摘要The erf beam is a type of“perfect self-similar beam”characterized by a scaling transverse profile and constant intensity during free-space propagation.We demonstrate its natural emergence in the second-order nonlinear process in domain engineering materials,where the phase discontinuity at the domain wall directly gives rise to an erf beam under Fresnel diffraction.More importantly,domain walls can be regarded as fundamental excitation units phenomenologically,enabling the construction of complex harmonic fields through the superposition of individual erf beams.This provides a foundational framework for analyzing harmonic fields from complex structures and a design strategy for domain engineering materials.We experimentally verify the nonlinear method for generating erf beams using a poled LiTaO3crystal,and the results agree well with the predicted self-similar properties.The simplicity of this approach may facilitate its potential for practical applications.