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. Author manuscript; available in PMC: 2010 Jun 15.
Published in final edited form as: Commun Comput Phys. 2009 Nov;6(5):955–977. doi: 10.4208/cicp.2009.v6.p955

Table 1.

Locations and strengths of image charges by the least squares approach with a=1, h=0.1, εi = 2. The first image charge q1 is located at the Kelvin point x1, and the second image charge q2 with location x2.

rs: source point charge location

εo 0.01 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

50 q1 −87.952 −8.793 −4.394 −2.926 −2.191 −1.748 −1.452 −1.239 −1.077 −0.947
x1 100.000 10.000 5.000 3.333 2.500 2.000 1.667 1.429 1.250 1.111

q2 −24.725 −2.479 −1.250 −0.845 −0.647 −0.533 −0.462 −0.417 −0.392 −0.387
x2 375.010 37.501 18.751 12.500 9.375 7.500 6.250 5.357 4.688 4.167

60 q1 −89.364 −8.935 −4.465 −2.973 −2.226 −1.777 −1.476 −1.260 −1.096 −0.964
x1 100.000 10.000 5.000 3.333 2.500 2.000 1.667 1.429 1.250 1.111

q2 −22.106 −2.217 −1.118 −0.756 −0.580 −0.478 −0.415 −0.375 −0.354 −0.350
x2 371.846 37.185 18.592 12.395 9.296 7.437 6.197 5.312 4.648 4.132

70 q1 −90.421 −9.040 −4.518 −3.009 −2.253 −1.799 −1.495 −1.276 −1.110 −0.978
x1 100.000 10.000 5.000 3.333 2.500 2.000 1.667 1.429 1.250 1.111

q2 −20.122 −2.018 −1.018 −0.689 −0.529 −0.436 −0.379 −0.343 −0.324 −0.322
x2 369.603 36.960 18.480 12.320 9.240 7.392 6.160 5.280 4.620 4.107

80 q1 −91.246 −9.123 −4.559 −3.037 −2.274 −1.816 −1.509 −1.289 −1.121 −0.988
x1 100.000 10.000 5.000 3.333 2.500 2.000 1.667 1.429 1.250 1.111

q2 −18.557 −1.862 −0.939 −0.636 −0.488 −0.403 −0.350 −0.318 −0.301 −0.300
x2 367.929 36.792 18.396 12.264 9.198 7.359 6.132 5.256 4.599 4.088