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538 AMORPHOUS SILICON–BASED SOLAR CELLS<br />

Photon energy<br />

[eV]<br />

1.0<br />

3 2.5 2<br />

20<br />

a = 50 000/cm<br />

0.8<br />

Power<br />

[mW/cm 2 ]<br />

15<br />

10<br />

5<br />

0<br />

Reflectivity<br />

1.0<br />

0.6<br />

0.0<br />

5000/cm<br />

0 100 200 300 400 500<br />

Intrinsic layer thickness<br />

[nm]<br />

(a)<br />

Quantum efficiency QE<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

Substrate<br />

Textured<br />

Textured<br />

Untext.<br />

Untext.<br />

Untext.<br />

Back<br />

reflector<br />

Untext.<br />

None<br />

Textured<br />

Untext.<br />

None<br />

400 500 600 700<br />

Wavelength<br />

[nm]<br />

(b)<br />

Figure 12.19 (a) Computer calculation of the power output from a pin solar cell as a function<br />

of intrinsic layer thickness. The two sets of curves indicate results for monochromatic illumination<br />

(photon flux 2 × 10 17 /cm 2 s) with absorption coefficients of 5000/cm (black symbols) and 50 000/cm<br />

(gray symbols). Results are shown for varying back reflectance; interference effects are neglected.<br />

(b) Quantum efficiency (QE) spectra for nip solar cells deposited under identical conditions, but<br />

with two differing substrate textures and differing back reflectors [138]. The sequence of layers in<br />

the structure was (TCO/p/i/n/TCO/glass/Ag). The Ag is the back-reflector material (when present);<br />

the TCO on top of the glass was either smooth or textured (14% haze). 10 Measured at −1 Vbias<br />

implies that a cell might fully absorb light even when its thickness is much less than the<br />

absorptionlength1/α for the light’s wavelength.<br />

Light trapping is realized in amorphous silicon (and other) solar cells by using<br />

substrates that are “textured” or rough on the same scales as the principal wavelengths<br />

in solar illumination. The idea is that the random reflection/diffraction of light by the<br />

irregular, textured topography leads to internal reflection. Yablonovitch [139] showed<br />

that the maximum gain for such “statistical light trapping” in a textured film on an ideal<br />

reflector is 4n 2 ,wheren is the index of refraction of the film; Yablonovitch’s argument<br />

is fundamental and not based on any particular form for texturing. For silicon films,<br />

with n ∼ 3.5, the maximum predicted gain is nearly a factor of 50 (for light that is very<br />

weakly absorbed).<br />

Experimentally, optical gains up to a factor of ten have been reported from the<br />

use of textured substrates and weakly absorbed light [138, 140]. In Figure 12.19 we have<br />

presented measurements by Hegedus and Deng [138] of the “quantum efficiency” (QE)<br />

10 Haze is defined as the percentage of the light incident upon a film that is scattered incoherently. For transparent<br />

films, most of the remaining light is transmitted undeviated. Haze depends strongly upon the photon energy.<br />

The same value of haze can be obtained from films with quite different morphologies.

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