Poincaré sphere and Stokes parameters of orbital angular momentum wave based on Euler's formula

被引：0

作者：

Sun, Zhiwei ^{[1
]}

机构：

[1] Chongqing Univ, Sch Microelect & Commun Engn, Chongqing 400044, Peoples R China

来源：

OPTICS LETTERS | 2025年 / 50卷 / 13期

关键词：

SAM (i.e; polarization) states; including circular-; elliptical-; LIGHT; BEAMS;

D O I：

10.1364/OL.562261

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The orbital angular momentum (OAM) Poincar & eacute; sphere has been developed using the mathematical relationship between Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modes. However, it did not exhibit correspondence to spin angular momentum (SAM), the other angular momentum (AM) form. Here, based on Euler's formula, a definition method for general OAM waves is presented, in which the OAM wave is superposed by two orthogonal trigonometric-function waves. As SAM waves exhibit an ellipse in a direction-space, OAM waves exhibit an ellipse in a function-space. Based on this finding, the OAM Poincar & eacute; sphere is constructed through polar-spherical coordinate transformation. Finally, a physical monitoring method to monitor OAM Stokes parameters is presented and verified by Rayleigh-Sommerfeld's (RS) diffraction theory computation. This study can be used in AM theoretical research, OAM generation and manipulation, and OAM multiplexing and information encoding. (c) 2025 Optica Publishing Group. gence (AI) training, and similar technologies, are reserved.

引用

页码：4382 / 4385

页数：4

共 14 条

[1] ORBITAL ANGULAR-MOMENTUM OF LIGHT AND THE TRANSFORMATION OF LAGUERRE-GAUSSIAN LASER MODES [J].

ALLEN, L ;

BEIJERSBERGEN, MW ;

SPREEUW, RJC ;

WOERDMAN, JP .

PHYSICAL REVIEW A, 1992, 45 (11) :8185-8189

[2] Interaction of astigmatic hyperbolic sinusoidal Gaussian beams in strongly nonlocal nonlinear media [J].

Bian, Rui ;

Sun, Zhuo-Yue ;

Deng, Duo ;

Pang, Zhao-Guang ;

Yang, Zhen-Jun .

RESULTS IN PHYSICS, 2024, 56

[3] Measurement of the rotational sense and velocity of an object using OAM wave in the radio-frequency band [J].

Brousseau, C. ;

Mahdjoubi, K. ;

Emile, O. .

ELECTRONICS LETTERS, 2019, 55 (12) :709-710

[4] POINCARE SPHERE REPRESENTATION OF PARTIALLY POLARIZED FIELDS [J].

DESCHAMPS, GA ;

MAST, PE .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1973, AP21 (04) :474-478

[5] Stokes scintillations for vector beams in turbulence [J].

Dong, Zhen ;

Yuan, Bo ;

Liu, Yonglei ;

Wang, Fei ;

Cai, Yangjian ;

Chen, Yahong .

CHINESE OPTICS LETTERS, 2023, 21 (10)

[6] Observation of the rotational Doppler shift of a white-light, orbital-angular-momentum-carrying beam backscattered from a rotating body [J].

Lavery, Martin P. J. ;

Barnett, Stephen M. ;

Speirits, Fiona C. ;

Padgett, Miles J. .

OPTICA, 2014, 1 (01) :1-4

[7] Entanglement of the orbital angular momentum states of photons [J].

Mair, A ;

Vaziri, A ;

Weihs, G ;

Zeilinger, A .

NATURE, 2001, 412 (6844) :313-316

[8] Higher-Order Poincare Sphere, Stokes Parameters, and the Angular Momentum of Light [J].

Milione, Giovanni ;

Sztul, H. I. ;

Nolan, D. A. ;

Alfano, R. R. .

PHYSICAL REVIEW LETTERS, 2011, 107 (05)

[9]

Naidoo D, 2016, NAT PHOTONICS, V10, P327, DOI [10.1038/nphoton.2016.37, 10.1038/NPHOTON.2016.37]

[10] Orbital angular momentum 25 years on [Invited] [J].

Padgett, Miles J. .

OPTICS EXPRESS, 2017, 25 (10) :11265-11274

← 1 2 →