研究目的
To create a software package in Python necessary for constructing devices based on the spin-orbit interaction of light simulating the transverse and longitudinal shift, as well as the effect of the beam polarization or the spin angular momentum of light on the magnitude and direction of shift.
研究成果
The developed software for solving Maxwell's equations shows good accuracy and can be used to study the propagation of light beams in anisotropic media, media with optical activity, as well as thin films on the dielectric surface. The study successfully demonstrated the transverse and longitudinal shifts of the center of gravity of beams under total internal reflection, with results in good agreement with theoretical predictions.
研究不足
The error in the simulation increases for large values of the dielectric constant due to the higher phase velocity of the wave in media with a large refractive index. A more accurate grid is needed to reduce this error, which would increase the calculation time and memory consumption.
1:Experimental Design and Method Selection:
The study used the finite difference time domain (FDTD) method for the numerical solution of Maxwell's equations. A software package in Python was developed to simulate the transverse and longitudinal shifts of beams at total internal reflection.
2:Sample Selection and Data Sources:
The simulation involved the refraction and total internal reflection of an electromagnetic wave at the plane interface between two transparent dielectrics.
3:List of Experimental Equipment and Materials:
The study utilized a computational setup with PML (Perfectly Matched Layer) as absorbing boundary conditions.
4:Experimental Procedures and Operational Workflow:
The simulation included the calculation of the depth of penetration of a non-uniform electromagnetic wave in the optically less dense medium and comparison of reflection coefficients with those obtained by Fresnel formulas.
5:Data Analysis Methods:
The results were analyzed to observe the effects of Goos-H?nchen and Fedorov, including the dependence of the shifts on the polarization state of the incident beam.
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