<s>
The	O
electric-field	B-Algorithm
integral	I-Algorithm
equation	I-Algorithm
is	O
a	O
relationship	O
that	O
allows	O
the	O
calculation	O
of	O
an	O
electric	O
field	O
(	O
E	O
)	O
generated	O
by	O
an	O
electric	O
current	O
distribution	O
(	O
J	O
)	O
.	O
</s>
<s>
As	O
we	O
have	O
only	O
specified	O
the	O
curl	O
of	O
A	O
,	O
we	O
are	O
free	O
to	O
define	O
the	O
divergence	B-Application
,	O
and	O
choose	O
the	O
following	O
:	O
</s>
<s>
The	O
EFIE	B-Algorithm
describes	O
a	O
radiated	O
field	O
E	O
given	O
a	O
set	O
of	O
sources	O
J	O
,	O
and	O
as	O
such	O
it	O
is	O
the	O
fundamental	O
equation	O
used	O
in	O
antenna	O
analysis	O
and	O
design	O
.	O
</s>
<s>
The	O
most	O
important	O
aspect	O
of	O
the	O
EFIE	B-Algorithm
is	O
that	O
it	O
allows	O
us	O
to	O
solve	O
the	O
radiation/scattering	O
problem	O
in	O
an	O
unbounded	O
region	O
,	O
or	O
one	O
whose	O
boundary	O
is	O
located	O
at	O
infinity	B-Application
.	O
</s>
<s>
For	O
closed	O
surfaces	O
,	O
it	O
is	O
possible	O
to	O
use	O
the	O
Magnetic	O
Field	O
Integral	O
Equation	O
or	O
the	O
Combined	O
Field	O
Integral	O
Equation	O
,	O
both	O
of	O
which	O
result	O
in	O
a	O
set	O
of	O
equations	O
with	O
improved	O
condition	O
number	O
compared	O
to	O
the	O
EFIE	B-Algorithm
.	O
</s>
<s>
Unfortunately	O
,	O
the	O
EFIE	B-Algorithm
relates	O
the	O
scattered	O
field	O
to	O
J	O
,	O
not	O
the	O
incident	O
field	O
,	O
so	O
we	O
do	O
not	O
know	O
what	O
J	O
is	O
.	O
</s>
<s>
This	O
sort	O
of	O
problem	O
can	O
be	O
solved	O
by	O
imposing	O
the	O
boundary	O
conditions	O
on	O
the	O
incident	O
and	O
scattered	O
field	O
,	O
allowing	O
one	O
to	O
write	O
the	O
EFIE	B-Algorithm
in	O
terms	O
of	O
and	O
J	O
alone	O
.	O
</s>
<s>
Once	O
this	O
has	O
been	O
done	O
,	O
the	O
integral	O
equation	O
can	O
then	O
be	O
solved	O
by	O
a	O
numerical	O
technique	O
appropriate	O
to	O
integral	O
equations	O
such	O
as	O
the	O
method	B-Algorithm
of	I-Algorithm
moments	I-Algorithm
.	O
</s>
