Radial modal transitions of Laguerre-Gauss modes during parametric up-conversion: Towards the full-field selection rule of spatial modes

被引：34

作者：

Wu, Hai-Jun ^{[1
]}

Mao, Li-Wei ^{[1
]}

Yang, Yuan-Jie ^{[3
]}

Rosales-Guzman, Carmelo ^{[1
]}

Gao, Wei ^{[1
]}

Shi, Bao-Sen ^{[1
,2
]}

Zhu, Zhi-Han ^{[1
]}

机构：

[1] Harbin Univ Sci & Technol, Heilongjiang Prov Key Lab Quantum Manipulat & Con, Wang Da Heng Collaborat Innovat Ctr, Harbin 150080, Peoples R China

[2] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Phys, Chengdu, Peoples R China

来源：

PHYSICAL REVIEW A | 2020年 / 101卷 / 06期

基金：

中国国家自然科学基金;

关键词：

ORBITAL ANGULAR-MOMENTUM; LIGHT; BEAMS; GENERATION; COHERENT;

D O I：

10.1103/PhysRevA.101.063805

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Optical orbital angular momentum transformation and corresponding azimuthal-mode selection rules have been studied exhaustively for various nonlinear optical interactions. However, nonlinear transformation of the radial mode has not been systematically studied since the pioneering work [Phys.Rev. A 56, 4193 (1997)]. In this paper, we theoretically study and experimentally verify the radial modal transitions of Laguerre-Gauss (LG) modes in parametric up-conversion. Specifically, we provide a general solution that describes the sum-frequency generation (SFG) field excited by two arbitrary LG modes. Based on the solution, one can predict the full spatial complex amplitude of SFG fields upon propagation precisely and readily obtain the associated full-field selection rule including both azimuthal and radial modes. This paper provides a theoretical basis for quantum and nonlinear optical research involving parametric up-conversion of complex structured light and paves the way for future work on full-field transformation of spatial modes in other nonlinear interactions.

引用

页数：10