Related Experiment Video
Updated: Sep 17, 2025

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
Poincaré sphere and Stokes parameters of orbital angular momentum wave based on Euler's formula
Abstract:
The orbital angular momentum (OAM) Poincaré 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 Poincaré 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.
Related Concept Videos
Euler Equations of Motion
Principle of Angular Impulse and Momentum: Problem Solving
Initially, a free-body diagram of the system is drawn to illustrate all the forces acting upon the system, providing a crucial understanding of the dynamics at play. Then, the principle of angular impulse and momentum is...
Stokes' Law
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
Angular Momentum about an Arbitrary Axis
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
Kepler's Second Law of Planetary Motion
While in an elliptical orbit, the total energy of the planet is conserved. Therefore, the planet slows down when it is at apogee and...
Kepler's Third Law of Planetary Motion

