研究目的
To calculate the scattered fields from a sphere on or near a plane surface illuminated by a Gaussian beam.
研究成果
The method effectively calculates scattered fields, with numerical results showing good agreement with existing techniques. Scattering characteristics, such as peaks in specific directions, are discussed, highlighting the utility of the approach for practical applications in optoelectronics.
研究不足
The study is theoretical and computational, focusing on specific configurations (sphere on or near a plane surface); it may not account for all real-world complexities or experimental variations.
1：Experimental Design and Method Selection:
The methodology involves expanding the incident Gaussian beam in cylindrical vector wave functions and the scattered and internal fields in spherical vector wave functions. The method of moments is used to determine expansion coefficients by applying boundary conditions at the sphere's surface.
2：Sample Selection and Data Sources:
A spherical particle near a plane surface is considered, with specific materials (e.g., polystyrene or silicon) and parameters such as wavelength, beam waist, and distances.
3：List of Experimental Equipment and Materials:
No specific equipment or materials are listed; the study is theoretical and computational.
4：Experimental Procedures and Operational Workflow:
The procedure includes deriving expansions for electromagnetic fields, applying boundary conditions, and solving for coefficients using numerical methods implemented in MATLAB.
5：Data Analysis Methods:
Numerical results for the differential scattering cross section are computed and compared with existing methods (e.g., EBCM) to validate the approach.
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