TY - JOUR
T1 - Representation of total angular momentum states of beams through a four-parameter notation
AU - Fu, Shiyao
AU - Hai, Lan
AU - Song, Rui
AU - Gao, Chunqing
AU - Zhang, Xiangdong
N1 - Publisher Copyright:
© 2021 The Author(s).
PY - 2021/8
Y1 - 2021/8
N2 - It has been confirmed beams carrying total angular momentums (TAMs) that consist of spin angular momentums (SAMs) and orbital angular momentums (OAMs) are widely used in classical and quantum optics. Here we propose and demonstrate a new kind of representation consisting of four real numbers to describe the TAM states of arbitrary beams. It is shown that any homogeneous polarization, scalar vortices and complex vectorial vortex field, all of which result from the TAMs of photons, can be well represented conveniently using our proposed four-parameter representation. Furthermore, the proposed representation can also reveal the internal change of TAMs as the conversion between SAMs and OAMs. The salient properties of the proposed representation is to give a universal form of TAMs associated with complicated polarizations and more exotic vectorial vortex beams, which offer an important basis for the future applications.
AB - It has been confirmed beams carrying total angular momentums (TAMs) that consist of spin angular momentums (SAMs) and orbital angular momentums (OAMs) are widely used in classical and quantum optics. Here we propose and demonstrate a new kind of representation consisting of four real numbers to describe the TAM states of arbitrary beams. It is shown that any homogeneous polarization, scalar vortices and complex vectorial vortex field, all of which result from the TAMs of photons, can be well represented conveniently using our proposed four-parameter representation. Furthermore, the proposed representation can also reveal the internal change of TAMs as the conversion between SAMs and OAMs. The salient properties of the proposed representation is to give a universal form of TAMs associated with complicated polarizations and more exotic vectorial vortex beams, which offer an important basis for the future applications.
KW - Four-parameter notation
KW - Representation
KW - Total angular momentum
UR - http://www.scopus.com/inward/record.url?scp=85113317709&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/ac1695
DO - 10.1088/1367-2630/ac1695
M3 - Article
AN - SCOPUS:85113317709
SN - 1367-2630
VL - 23
JO - New Journal of Physics
JF - New Journal of Physics
IS - 8
M1 - 083015
ER -