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84894023844
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note
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Here and henceforth the square root of a complex number z is defined such that for real z > 0 we have √z > 0 and √-z = +i√z, with the branch cut along the negative real axis.
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84894020181
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note
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α (x,y) is real, we include the conjugation for consistency of the notation.
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84894016631
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note
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4 now does not have anything to do with the propagation direction, for consistency, we stick to this notation.
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84894015149
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note
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zz) increase exponentially with z , which is not very convenient for numerical implementation.
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84894023433
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note
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The interaction integral also has some other properties that can save a lot of computation time. These properties are outside the scope of this paper.
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84894018389
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This routine is a multi-dimensional adaptive quadrature over a hyper-rectangle. For a description, see the internet link: http://www.nag.com/ nagware/mt/doc/d01fcf.html.
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