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Furthermore, this scheme alternatively formulates the forward problem (which is defined by a closed-form solution) in terms of the depth to the top of the sheet rather than in terms of the depth to its center.
Sharma and Biswas (2013) formulated the forward solution (1) in terms of the depth to the center of the sheet (z) as Vleft x, z, a, k, thetaright) = k ; log frac{left[x^{2} + left z - frac{a}{2}sinthetaright)^{2} right]}{left[ (x-acostheta)^{2} + left z + frac{a}{2}sinthetaright)^{2} right]}, (2).
Formula (2) can be re-written equivalently in terms of the depth to the top (h) of the sheet rather than the depth to its center (z) as (Figure 1) Vleft x, h, a, k, thetaright) = k ; log frac{left[x^{2} + h^{2} right]}{left[ (x-acostheta)^{2} + left(h + asinthetaright)^{2} right]}.
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