Geometric transformations of optical orbital angular momentum spatial modes

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2018,（2）
• 页码范围: 35-40
• 页数: 6页
• 语种: 英文
• DOI: 10.1007/s11433-017-9099-0

摘要

With the aid of the bosonic mode conversions in two different coordinate frames,we show that (1) the coordinate eigenstate is exactly the EPR entangled state representation,and (2) the Laguerre-Gaussian (LG) mode is exactly the wave function of the common eigenvector of the orbital angular momentum and the total photon number operator.Moreover,by using the conversion of the bosonic modes,the Wigner representation of the LG mode can be obtained directly.It provides an alternative to the method of Simon and Agarwal.