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Full text of "Scientific Papers - Vi"

560
ON THE DISPERSAL OF LIGHT BY A DIELECTRIC  CYLINDER
[434
ray produced. If we add the terms due to even and odd values of m separately, we may include in one calculation the results for Q and for 180 - 6, since (- 1)TO cos m (180 - 6) = cos m<9 simply.
In illustration we may take the numerically simple case where 6 = 0 and 6 = 180, choosing as an example z = 2'4 in (22).    Thus
m		:    m
0	26905- 4 x   -48842	I     \       -39906 - 1 x 1 -13268
2	57166 -tx  '91676	3             -13448- ix   -01436
4	    830-ix          6	1     5                   38-i              0
6	2                  0	1
S(even) = '84903 - i X 1 '40524		!        2(0dd)= '53392 -ix 1-14704
Accordingly for 6 = 0, we have
Sevea-Soda = "31511-tx   "25820, and for 6 = 180
Seven + 20dd = 1'38295 - i x 2'55228.
These are the multipliers of
|_^L_ )    gi(nt-kr)
in (22).    For most purposes we need only the modulus.    We find and
1-6
1-2
Ss-
o            90
180           0
Fig. 1.
90
1800259 -ix -00001 01 5 14 -ix '00036 06724 -ix -007 18	00025 -ix 0 00262 -ix -00001 01346- ix -00028 04636 - i x -00339  1 2088 -ix '02384	3