Hi this is very complicated integral i couldn't solve
can you help me ? how does it solve
Hello, is j negative, and do you know if a is non-zero or positive? I think this integral only exists if j is non-positive and a is non-negative.
j=sqrt(-1) and a is positive
I solved this integral numerically and i found the exact result in both Matlab and Mathematica program but I need analytical solution. I tried residue theorem but result didn't match numeric solutions.I asked some mathematicians but they couldn't find true path for the residue and i look ryzik integral book i coulnd't find.
Thank you for your connection
Calculus of residues perhaps?
yes Calculus of residues but true path is important
may be fresnel integral can solve this problem but diffucult to understand. :(
You could complete the square and see if that might help you.
What do you mean by true path?
can you help me to solve using square
i will try
What program did you write those equations in if you don't mind Canerg?
Hi BackEMF this is my Matlab code you can use quad instead of quade
%clc; clear all
f=@(x)(1./(1+a*x.^2).*exp(i*k/(2*L)*(x.^2-2*x*r)));%% integral by numerical solution
Hi Canerg, sorry I wasn't clear enough. I meant the equations you submitted in PDF, do you mind telling me what typsetting program did you use?
Thanks, sorry for imposing on your thread!
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