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Two wave superposition with different wavelength , amplitude and frequ
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[QUOTE="ptolomeo, post: 4571461, member: 494030"] [h2]Homework Statement [/h2] Hi Two wave superposition with different wavelength , amplitude and frequency u[SUB]1[/SUB](x,t)=A[SUB]1[/SUB]cos(k[SUB]1[/SUB]x+w[SUB]1[/SUB]t) u[SUB]2[/SUB](x,t)=A[SUB]2[/SUB]cos(k[SUB]2[/SUB]x+w[SUB]2[/SUB]t) a)Show that an amplitude modulation is obtained [h2]Homework Equations[/h2] No relevant equations [h2]The Attempt at a Solution[/h2] u=u1+u2=A[SUB]1[/SUB]cos(k[SUB]1[/SUB]x+w[SUB]1[/SUB]t)+A[SUB]2[/SUB]cos(k[SUB]2[/SUB]x+w[SUB]2[/SUB]t) and now i don't know what to do, is there any way to relate A[SUB]1[/SUB] and A[SUB]2[/SUB] I searched in the internet and I found Fresnell method which can solve it for two waves of the tipe: u1=u2=A[SUB]1[/SUB]cos(w[SUB]1[/SUB]t) u2=A[SUB]1[/SUB]cos(w[SUB]2[/SUB]t)=A[SUB]1[/SUB]cos(w[SUB]1[/SUB]t+phi) but in my case I don't think I can do that because there are 2 variables in the cos Its my first post so thanks pd: sorry for my bad english [/QUOTE]
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Two wave superposition with different wavelength , amplitude and frequ
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