Recent content by eahaidar
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Graduate Solve coupled nonlinear differential equations
I usually use MATLAB for any simulation. I went through the equations. With the help of a colleague, we managed to reduce the coupled equations to a single equation. I will update you on that once i get to the bottom of this equation which includes the 3 variables. Again thanks for your help...- eahaidar
- Post #13
- Forum: Differential Equations
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Graduate What is the solution for the attached equation?
Thanks for the response. However I get hyperbolic sinh which just makes it much worse. :(- eahaidar
- Post #3
- Forum: Differential Equations
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Graduate What is the solution for the attached equation?
Good afternoon, i was just wondering if this equation is possibly solvable where I(z) is a function of z. The equation is: I(z)=cosh(1/2 ∫I(z)dz) I know it looks stupid but is it possible? How would you approach this problem? Thank you.- eahaidar
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- Function Functional derivative Hyperbolic functions Integral Integral calculus Transcendental equation
- Replies: 4
- Forum: Differential Equations
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Graduate Solve coupled nonlinear differential equations
Very interesting my friend. How did you get the plots? What program did you use? I know analytical stuff is hard but they come into handy. Another condition i found was that ISBS * I Stokes = CST if you divide equation 2 from 3. I am not sure how you got the curves to be honest. Is is just...- eahaidar
- Post #11
- Forum: Differential Equations
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Graduate Solve coupled nonlinear differential equations
Yes it only relies on z. SBS stands for stimulated Brillouin scattering and so far yes the initial conditions are as you mentioned- eahaidar
- Post #9
- Forum: Differential Equations
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Graduate Solve coupled nonlinear differential equations
Now i see your point. Drop the |A0|^2 since it is inside I0. Now what i claimed that first equation is the sum of second and third. SBS and Stokes should be propagate on the other side of the medium and therefore there are initially at z=L that means they are introduced at the end of the medium...- eahaidar
- Post #7
- Forum: Differential Equations
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Graduate Solve coupled nonlinear differential equations
Thank you for your time. g is complex and I apologize for that. However, Im(g) is a constant number since it varies with another variable other than z. So let's say Im(g)= 0.5 What I meant from 1=2 +3 is that notice that d(I0) /dz = d( ISBS)/dz + d(I STOKES)/dz. As for your approach, I0...- eahaidar
- Post #5
- Forum: Differential Equations
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Graduate Solve coupled nonlinear differential equations
Thank you for your time. The variables are [/0], [/STOKES], and [/SBS]. As for g, it is a real constant number despite having many variables. My attempt well: i only could find a relation between the 3 equations. Clearly equation 1 = 2 + 3 however other than the initial conditions of [/STOKES]...- eahaidar
- Post #3
- Forum: Differential Equations
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Graduate Solve coupled nonlinear differential equations
Good evening I have these coupled equations and was wondering if there is any chance solving them analytically. If not, how would you approach it numerically? (shown in attachment) Thank you very much- eahaidar
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- Coupled Differential Differential equations Nonlinear Nonlinear differential
- Replies: 13
- Forum: Differential Equations
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Graduate How does split step Fourier method help four wave mixing?
I am working with four wave mixing and I really want to know how to simulate it using the split step Fourier theory That's why -
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Graduate How does split step Fourier method help four wave mixing?
I always thought it would help understand how one optical light wave will propagate My question is how solving this question problem by split step will show four wave mixing results which relies on more than one light wave ?how would it show the idler the signal Is there any work done on that ... -
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Graduate How does split step Fourier method help four wave mixing?
Just a question How does solving the nonlinear Schrödinger equation using split step Fourier method makes us understand the four wave mixing process in optical fiber ? Any examples on how that happens Thank you -
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MATLAB How to Modify Contour Colors in MATLAB?
%gamma=20; gamma=580; %P=0.1; P=0.75; N=P.*gamma; lamdazero=1550; [lamdapump,lamdasignal] = meshgrid(1550:0.1:1700,1550:0.1:1700); beta3=1.3; beta4=-8*10^-4; %beta3=0.06; %beta4=-2*10^-4; c=2*pi*3*10^8; %L=1; L=0.01; A0=(1./lamdapump) -(1./lamdazero); B0=(1./lamdapump) -(1./lamdasignal)...- eahaidar
- Thread
- Matlab
- Replies: 1
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Highlighting a Specific Region on a Matlab Plot with Contour Question
Thank you very much for your time The second part is what I want where I want to highlight a specific region. I would love to ask some questions : 1-Can I add the color of the region to the color bar or not? 2- Can I change the steps of The numbers of the color bar instead of 10 20 30 I want...- eahaidar
- Post #4
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Highlighting a Specific Region on a Matlab Plot with Contour Question
Hello everyone If I have a plot of a function of two variables and I want the whole curve over the whole x and y intervals but in addition I want to highlight with a black colour a specific region when the function is between two values F between -8 and 0 or what ever How can I do that ...- eahaidar
- Thread
- Matlab
- Replies: 4
- Forum: MATLAB, Maple, Mathematica, LaTeX