
Radiation Effects on Semiconductors and Polymers for Space Applications 851
cells irradiated at another energy. The value for GaAs solar cells irradiated with protons at hundreds
of keV becomes almost the same value for InGaP solar cells irradiated at a uence of 10
11
cm
−2
. The
I
SC
for GaAs solar cells dramatically decreases and becomes the lowest value at 10
12
cm
−2
. Thus,
since the current-limiting cell changes to the GaAs cell from the InGaP cell, the value of I
SC
for 3J
solar cell becomes the same as that of the GaAs cell. This faster decrease in I
SC
for the GaAs sub
cell by irradiation of protons with hundreds of keV is explained as follows. The protons with given
energy stop around the pn junction in the GaAs sub cell. This indicates that heavy damage is created
in this region by the irradiation. Since the radiation resistance of GaAs is not higher than that of
InGaP, the degradation of the GaAs sub cell is much faster than the InGaP sub cell by hundreds keV
range proton irradiation. From this result, it can be concluded that the improvement of the radiation
hardness of the GaAs sub cell is important to improve the overall radiation hardness of 3J solar cells.
30.2.5 prediction Methodology of triple-junction Solar cell degradation
Protons and electrons with a very wide range of energies exist in space. However, available energies
for ground-based irradiation experiments are limited by the capability of accelerators. Therefore,
it is important to develop accurate prediction methods on the radiation degradation of solar cells
in real space, using results obtained from ground tests. Presently, the damage-equivalent uence
method, which was proposed by the U.S. Jet Propulsion Laboratory (JPL) more than 20 years ago,
is the most popular prediction method (Tada et al., 1982). According to the JPL method, a result
obtained by 1 MeV electron irradiation testing is standard, and the relative damage coefcient is
estimated from the comparison of results using electrons/protons with other energies to the result
obtained by 1MeV electron/proton irradiation. In the case of single junction solar cells, the JPL
method is thought to be a reasonable way for the lifetime prediction of solar cells, since a single
peak is usually observed in the relative damage coefcient as a function of proton/electron energy.
But, for triple-junction solar cells, as shown in Figure 30.9, three peaks appear in the proton/electron
energy dependence of the relative damage coefcient. This indicates that proton/electron irradia-
tion experiments using various energies are necessary to clarify the relationship between proton/
electron energy and the relative damage coefcient for 3J junction solar cells. From the standpoint
of saving time and money, increasing the number of irradiation experiments is not a good idea.
Instead of uence, displacement damage dose (D
d
), based on the concept of non ionizing energy
loss (NIEL), has been proposed by the U.S. Naval Research Laboratory (NRL) (Summers et al.,
1987; Messenger et al., 2001). The NIEL is a concept for the energy reduction of incident particles in
materials,
which is for displacement of atoms at lattice sites and is estimated as D
d
and is dened as
D E
E
E
n
d
ref
1
NIEL fluence
NIEL
NIEL
( )
( )
( )
= × ×
−
(30.3)
where
NIEL(E
ref
) is NIEL for a standard energy such as 1 MeV electrons
n
is a correction number usually between 1 and 2 (Messenger et al., 2001)
If
the D
d
is applied as the value of damage creation, since the D
d
does not depend on the energy of
incident protons/electrons, the degradation curves for solar cells irradiated with protons/electrons at
various energies should be single line. Figure 30.11 shows the degradation curve for V
OC
of InGaP/
GaAs/Ge 3J solar cells as a function of D
d
. Two degradation curves are shown in the gure. Since the
projection range for protons with lower than 100keV is within the InGaP sub cell, the obtained result
can be explained in terms of the curve obtained by low energy proton irradiation for the InGaP sub
cell, and the curve obtained by high-energy proton irradiation for GaAs and Ge sub cells. From this
result, it is apparent that the degradation of V
OC
can be described by D
d
on the basis of the NIEL con-
cept. However, the degradation of I
SC
for 3J solar cells is not simple, even if D
d
is applied, as shown in