Question

Wave Packets

(a) Create a wave by adding two different waves by using Matlab, but different combination than those we used in the class. Paste the output graph (and also the code). Any two waves can be chosen, but explain the difference compared to the original wave packet we obtained in the class. You can modify the code I used in the class, or build something from scratch.

(b) Add as much waves as you want (minimum:3), using Matlab. Explain your result in some way.

the weaves that we used in class:

>> % Wave packets

lambda1=9;lambda2=11;
v1=6;v2=4;
k1=2*pi/lambda1;k2=2*pi/lambda2;
omega1=6*k1;omega2=4*k2;

delomega=omega1-omega2

x=linspace(-70,70,1000);
t=linspace(0,1,100);

for n=1:length(t)
y1(:,n)=cos(k1.*x-omega1.*t(n));
y2(:,n)=cos(k2.*x-omega2.*t(n));
ysum(:,n)=y1(:,n)+y2(:,n);
end

figure(1)
hold on
ylim([-8 4])
plot(x,ysum(:,1),'-.k')
plot(x,ysum(:,33),'r') %t=0.33
xline(0)
xline(5,'r')
xline(2,'--b')
plot(x,y1(:,1)-5,'-.k')
plot(x,y1(:,33)-5,'b') %t=0.33

figure(2)
hold on
ylim([-8 4])
plot(x,ysum(:,1),'-.k')
plot(x,ysum(:,100),'r') %t=1
xline(0)
xline(15,'r')
xline(6,'--b')
plot(x,y1(:,1)-5,'-.k')
plot(x,y1(:,100)-5,'b') %t=1

delomega =

1.9040

ans =

Answer 1

ANS:

The question is answered below.

Dear Friend,

malab code is provided below. I am also attaching the output graphs also. since the combination you have used in your class is not given, i am taking general and simple waveforms which are easy to understand by you. if you want other waveforms to be used , then just replace x1 and x2 with your waveforms.

MATLAB CODE:-

t=0:.00001:.1;
f1=100;
f2=200;
x1=sin(2*pi*f1*t);
x2=cos(2*pi*f2*t+90);
y=x1+x2;
subplot(311)
plot(t,x1);
subplot(312)
plot(t,x2);
subplot(313)
plot(t,y);

NOTE:Please upvote.