Definition
The Green’s function integral equation method (GFIEM) is a method for solving linear differential equations by expressing the solution in terms of an integral equation, where the integral involves an overlap integral between the solution itself and a Green’s function. In particular, within nanotechnology the method is frequently applied to calculate scattering of light.
Overview
The Green’s function integral technique can be used to solve a linear inhomogeneous differential equation in real space such as
where θ 0 is an operator, r is the position, f(r) is a given source term, and φ(r) is the function that should be calculated such that Eq. 1 is satisfied. A solution can in principle be obtained straightforwardly from a Green’s function g(r, r′) of the operator θ 0. The Green’s function satisfies the equation
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Søndergaard, T. (2016). Green’s Function Integral Equation Method. In: Bhushan, B. (eds) Encyclopedia of Nanotechnology. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6178-0_18-2
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DOI: https://doi.org/10.1007/978-94-007-6178-0_18-2
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