Spreading resistance calculations by the use of Gauss-Laguerre quadrature

A collection of computer programs for two-probe resistance (spreading resistance) and four-probe resistance calculations, RESPAC

“…At about the same time, Choo et aJ. [17] introduced an integration scheme based upon the Gauss-Laguerre quadrature. They use the uniform current density form of the correction factor integral as given by eq (16).…”

“…For the case at hand, the Gauss-Laguerre quadrature makes use of the first 33 roots and weights obtained from the 128th order Laguerre polynomial. For the case of the uniform current density, the correction factor may be evaluated as the weighted finite sum, C"=^f:^vl'\^-^-^^\^^A"{X,], where the weights (w^^) and integration points (aAjfc) are listed in reference [17].…”

“…The model data calculations presented by Albers [19] (using the trapezoidal Romberg integration scheme) can easily be generalized in order to use any one of the three current densities. The Gauss-Laguerre quadrature [17] may also be used with any one of the above current densities. The Berkowitz-Lux calculations [21] (originally specialized to the uniform current density but, in principle, extendable to the other two current densities)…”

“…The RGENTR (Resistance GENeration Trapezoidal Romberg) program calculates the twoprobe spreading resistance from eqs (14) to (17).…”

“…The RGENGL (Resistance GENeration Gauss Laguerre) program calculates the two-probe spreading resistance from eqs (14) to (17). These are presented in the text as well as in the previous section where RGENTR was discussed.…”