Abstract
In a paper, now nearly thirty years old, I applied Maxwell’s equations of the electro-magnetic field to investigate the disturbance produced by an obstacle upon plane waves of light which travel through a medium otherwise uniform, giving particular attention to the case where the properties of the obstacle differ but little from those of its surroundings. The difference may consist in a variation of K — the specific inductive capacity, or of
μ
— the magnetic capacity, or of both; but it was shown that the last supposition leads to results inconsistent with observation, and that the evidence favours the view that
μ
is to be treated as invariable. Denoting electric displacements by
f, g, h
, the primary wave was taken to be
h
0
=
e
int
e
ikx
, (23) so that the direction of propagation is along
x
(negatively), and that of vibration parallel to
z
. ∆
μ
being omitted, the electric displacements (
f
1
,
g
1
,
h
1
) in the scattered wave, so far as they depend upon the
first power
of ∆K, have at a great distance the values
f
1
,
g
1
,
h
1
=
k
2
KP/4
πr
(
αγ
/
r
2
,
βγ
/
r
2
, –
α
2
+
β
2
/
r
2
), (35, 37, 38) in which P = ∭
h
0
∆K
-1
e
-ikr
dx dy dz
. (36)
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