A Note on the Off-Axis Gaussian Beams Propagation in Parabolic Media

Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics

Gress, Z.^1 ; Cruz, S. Cruz Y.^1

Instituto Politécnico Nacional, UPIITA, Av. Inst. Politec. Nac. 2580 Col. La Laguna Ticoman, Del. Gustavo A. Madero, Ciudad de México

07340, Mexico^1

关键词: Beam widths;    Focusing properties;    Homogeneous medium;    Off-axis;    On-axis;    Paraxial wave equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/839/1/012024/pdf
DOI  :  10.1088/1742-6596/839/1/012024

来源: IOP

【 摘 要 】

The form of the off-axis Gaussian beam is constructed by solving the paraxial wave equation for a parabolic index medium. This construction is accomplished by reducing the problem to the solution of an Ermakov equation. It is shown that the dynamics of the system is comprised in, both, the beam width and the position of the center of the wavepacket, that are defined by the focusing properties of the material. The cases of on-axis behavior and propagation in a homogeneous medium are obtained as special cases.