研究目的
Investigating the absorption of light emanating from a nonuniformly illuminated Lambertian surface into an absorptive layer with a spatially uniform coefficient of absorption, particularly relevant for silicon solar cells.
研究成果
Approximate analytic expressions presented for the absorption of Lambertian light enable the numerically efficient calculation of photogeneration in a photovoltaic device where surface features introduce spatial nonuniformities in illumination.
研究不足
The approach is computationally efficient compared with ray tracing, and is particularly effective when the nonuniform illumination is periodic and symmetric in each axis.
1：Experimental Design and Method Selection:
The approach uses Fourier superposition to represent spatial variation in the plane of the surface, represented by a series of wavenumbers in each axis.
2：Sample Selection and Data Sources:
The situation is particularly relevant for silicon solar cells, which have deliberately textured surfaces and grid fingers that create nonuniform illumination.
3：List of Experimental Equipment and Materials:
An Excel spreadsheet was constructed to calculate the absorption at any given point (x, y, z) by integrating the absorption due to flux arriving at that point from every position on the surface S extending to infinity in all directions.
4：Experimental Procedures and Operational Workflow:
The integration was calculated by dividing the surface into 160 000 discrete area elements defined using polar coordinates, with 400 uniform increments in zenith angle, θ, between 0 and π/2 radians, and 400 uniform increments in azimuth angle, ?, between 0 and 2π radians.
5：Data Analysis Methods:
The absorption rate and flux density at any given distance, z, into the layer is given by an effective wavenumber, keff, that is the root-sum-square of the wavenumbers in the two axes.
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