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Mathematics
Calculus
Integral of a sinc squared function over a square root function
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[QUOTE="tworitdash, post: 6344526, member: 220671"] Yes, I use the square root as [itex] -j \sqrt{-(k^2 - k_x^2 - k_y^2)}[/itex]. So, the branch cut appears from INF to -k when real(k_x) is < 0. The other half of the branch cut is from -INF to +k when real(k_x) > 0. In other words, the square root function makes sure that when [itex] k_y^2 > (k^2 - k_x^2) [/itex], the value of remains purely negative imaginary and when [itex] k_y^2 < (k^2 - k_x^2)[/itex], the value remains purely positive real. [/QUOTE]
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Mathematics
Calculus
Integral of a sinc squared function over a square root function
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