A New Method for Calculating Scattering With Particular Reference to the Circul

Cover A New Method for Calculating Scattering With Particular Reference to the Circul
A New Method for Calculating Scattering With Particular Reference to the Circul
D S Jones
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2 0. 000261 1. 2 0. 126 0. 3 0. 000908 1. 3 0. 13U O. U 0. 00225 l. U 0. 266 0. 5 0. 00it63 1. 5 0. 382 0. 6 0, 0085U 1. 6 0. 5U5 0. 7 0. 0 1U6 1. 7 0. 77U 0. 8 0. 0239 1. 3 1. 097 0. 9 OJD375 1. 9 1. 551 l. C 0. 0573 Table 5 2. 0 > 2. 191 With regard to the actual value of the scattering coefficient we may note that, if B were calculated exactly by (Ul)> we would expect the upper bound obtained to be in excess of the correct value by a percentage of the sane order as that by which the upper bo...und in Table U exceeds the correct value because the same method is used in both estimates. The upper bound given by (U5) is still further in excess because of the use of the inequalities (U3) and (UU). It is easy to see that the additional increase is less than 100/(1 + *o^^° °^ *^® value given by (U7). In particular, if z > 10 the increase is less than I /o and if z > 10 the increase is less than 10/6. Consequently, it is suggested that an estimate of the scatter- - 35 - inp coefficient can be obtained by taking the same percentage of (ii5) that has to be taken of the right-hand side of (UO) to obtain the correct value for the plane wave scattering coefficient.

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