Three preferred embodiments of my invention are illustrated by the following drawings in which
I like to emphasize that these drawings are not made to scale with some dimensions greatly exaggerated for clarity of presentation.
Referring to
The array of lenses can be two-dimensional with spherical lenses, in which case the sun image is a disk, or one-dimensional with cylindrical lenses in which case the sun image is a line. The circular periphery of the spherical lenses has been truncated into a quadrangle to fit the lenses into a dense pattern covering the entire surface of the solar cell. The truncation could also be hexagonal to create a honey comb pattern.
The solar cell with integrated optics of
The focusing of the sun light avoids the loss of effective radiation by the contact grid lines 4. And the focused radiation enhances the open circuit photo-voltage significantly, as shown by the following quantitative considerations:
The focusing of the incident sun light enhances the light intensity at the sun image by the ratio of the lens area to the area of the sun image.
The lens area for a quadrangular array of spherical lenses is the square of the grit length.
The image of the sun by a spherical lens is a disk with a diameter of about 1/200 of the focal length of the lens. Thus the area of the sun image, being one forth of the square of this diameter, timesπ, is about one fifty thousandth of the square of the focal length.
Consequently, the ratio of the lens area to the area of the sun image is about 50000 times the square of the ratio of the grit length to the focal length. Considering the focusing by a quadrangular array of spherical lenses of a focal length equal to the grit length enhances the light intensity at the sun images fifty thousand times.
The open circuit photo-voltage of a conventional silicon solar cell increases by 2.3/40 volts for each 10 fold increase in the light intensity. Thus the cited spherical lens design provides an increase in the open circuit photo-voltage of 0.27 volts. This is a very significant increase, considering that the open circuit photo-voltage of a conventional silicon solar cell exposed to unfocused sun light is only about 0.6 volt.
Considering now a one-dimensional array of cylindrical lenses of a width equal to their focal length, the light intensity at the sun image is enhanced only by the factor 200, which still provides the significant increase of 0.13 volts of the open circuit photo-voltage.
However these increases of the open circuit photo-voltage will not be fully realized, because of the parasitic load resistor of the not-illuminated forward biased p/n junction diode. This detrimental effect is diminished by reducing the not-illuminated area around the sun image.
The n-islands 10 have been generated by gaseous diffusion of the n-type dopant arsenic into the p-type silicon slice 2 through openings in the silicon oxide layer 11. The transparent conducting tin oxide film 12 interconnects electrically the islands 10 and connects them to the outside terminal of this miniature solar cell panel. The contact grid lines 4 of
While the parasitic load of the not illuminated areas has now been practically eliminated in this embodiment, the not illuminated silicon areas represent a tremendous waste of silicon. Silicon is a major cost factor of solar cells.
Most of this waste of silicon is eliminated by the embodiment of my invention shown in the vertical cross-section of
These separated miniature solar cells are contained in an insolating matrix 13. The layer 11 is the remains of the silicon oxide film of
These separated miniature solar cells are pedestals in the case of the two-dimensional array of spherical lenses, and ridges in the case of the one-dimensional array of cylindrical lenses.
These structures are made from the silicon slice of
To appreciate the tremendous saving of silicon by the embodiment of
Thus 99% of silicon is saved by this miniature solar cell panel of
Consider now a panel of cylindrical lenses of a width equal to their focal length of 1000 microns: The width of the sun image is 5 microns.
Choosing 50 microns for the width of the n-layer and 100 microns for the width of the p-ledge, 90% of the silicon is saved compared to a conventional solar cell.
These considerations do not include the loss of silicon involved in the production of the silicon pillars or ledges.
While the saving of silicon is greater for the two dimensional array of spherical lenses than that for the one dimensional array of cylindrical lenses, the handling of ledges is easier than that of pillars, and the cylindrical lens design may be preferable.
As many apparently widely different embodiments of this invention may be made without departing from the spirit and scope thereof, it is to be understood that this invention is not limited to the specific embodiments herein described, except as defined in the following claims.