field radiation pattern generation

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please help me in writing code for attached file. i have written code like below but it is taking many hours for execution. so please help me for fast execution of equation in the attached file.
code i have written is
theta=[-90:0.01:90];
syms x
L=5;
A(x)=sym(1-(2*x/L)^2);
A(x)=(1-(2*x/L)^2);
phi(x)=sym(0)
phi(x)=0;
u=sin(theta);
fun=(A(x)*(exp((j*pi*10)*((u*x)+phi(x)))));
E= int(fun,x,-1,1)
Edb=20*log10(E);
plot(u,Edb);
grid on
title("radiation pattern");
help me what modifications i have to do for fast execution of this code
  2 个评论
Image Analyst
Image Analyst 2021-3-15
Does it have to be symbolic, or can we do it numerically where you define some range for your input?
darova
darova 2021-3-17
@ramya k comment's moved here
we have to write numerically and we should get plot for that
please verify the attached file.. in that electric field equation available.. we have to execcute that equation.

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采纳的回答

darova
darova 2021-3-17
Use trapz
t = -90:90; % i choosed step 1
x = -1:0.1:1);
[T,X] = meshgrid(t,x);
u = sin(T);
A = ...%
fun = A.*exp(...);
E = trapz(x,fun,1);
plot(t,E)
  7 个评论
darova
darova 2021-3-22
i made some correction to your code
clc,clear
t = -90:90;
x = -1:0.1:1
[T,X] = meshgrid(t,x);
u = sin(T);
A = 1;
phi = 0;
fun = A.*exp(1j*pi*10*(u.*X+phi));
E = trapz(X,fun,1);
Edb = 20*log10(E);
plot(t,E)

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