- #1
n0_3sc
- 243
- 1
I have the following Gaussian Integral:
[tex] \int_{0}^{\infty}2\pi r\left |{\int_{-l/2}^{l/2}\frac{e^\frac{-r^2}{bH}}{(1+ix)(k^{''} - ik^{'}x)H}}dx\right |^2dr [/tex]
Where
[tex]H = \frac{1+x^2}{k^{''} - ik^{'}x} - i\frac{x - \zeta}{k^{'}}[/tex]
Assume any characters not defined are constants.
I agree it does look fantastic, and I'm currently trying to numerically solve it (duh..). I'm using MATLAB and I run into the problem:
"Warning: System is inconsistent. Solution does not exist."
Yet I know a solution exists because I'm looking at an article that solved it numerically.
Any Hints/Advice?
[tex] \int_{0}^{\infty}2\pi r\left |{\int_{-l/2}^{l/2}\frac{e^\frac{-r^2}{bH}}{(1+ix)(k^{''} - ik^{'}x)H}}dx\right |^2dr [/tex]
Where
[tex]H = \frac{1+x^2}{k^{''} - ik^{'}x} - i\frac{x - \zeta}{k^{'}}[/tex]
Assume any characters not defined are constants.
I agree it does look fantastic, and I'm currently trying to numerically solve it (duh..). I'm using MATLAB and I run into the problem:
"Warning: System is inconsistent. Solution does not exist."
Yet I know a solution exists because I'm looking at an article that solved it numerically.
Any Hints/Advice?