not able to plot differenitation from running muller methods

1 view (last 30 days)
function shiv9
clear all
close all
n=linspace(1.43,1.50,15);
D1= linspace(1e-9,3e-7,15);
P=zeros(numel(n),numel(D1));
for j=1:numel(D1)
for k=1: numel(n)
da = D1(j);
na=n(k);
p0 = 1;
p1 = 1.5;
p2 = 2;
TOL = 10^-8;
N0 = 100; format long
h1 = p1 - p0;
h2 = p2 - p1;
DELTA1 = (f(p1,na,da) - f(p0,na,da ))/h1;
DELTA2 = (f(p2,na,da ) - f(p1,na,da ))/h2;
d = (DELTA2 - DELTA1)/(h2 + h1);
i=3;
while i <= N0
b = DELTA2 + h2*d;
D = (b^2 - 4*f(p2,na,da )*d)^(1/2);
if abs(b-D) < abs(b+D)
E = b + D;
else
E = b - D;
end
h = -2*f(p2,na,da)/E;
p = p2 + h;
if abs(h) < TOL
disp(p)
break
end
p0 = p1;
p1 = p2;
p2 = p;
h1 = p1 - p0;
h2 = p2 - p1;
DELTA1 = (f(p1,na,da ) - f(p0,na,da ))/h1;
DELTA2 = (f(p2,na,da ) - f(p1,na,da ))/h2;
d = (DELTA2 - DELTA1)/(h2 + h1);
i=i+1;
end
end
P(j)=real(p);
end
plot(D1,P);
end
function y=f(x,na,da)
l=633;
k0=2*pi/l;
nc=1.33;
ec=nc^2;
na=1.43;
ea=na.^2;
nf=1.59;
ef=nf^2;
nm=0.064+1i*4;
em=nm^2;
ns=1.495;
es=ns^2;
df=0.5e-6;
dm=0.03e-6;
%kx=(2*pi/l)*np*sin(a);
kc=k0*sqrt(x^2-ec);
ka=k0*sqrt(ea-x^2);
kf=k0*sqrt(ef-x^2);
km=k0*sqrt(em-x^2);
ks=k0*sqrt(x^2-es);
rfm=(kf-km)/(kf+km);
rms=(km-ks)/(ks+km);
rfa=(kf-ka)/(kf+ka);
rac=(ka-kc)/(ka+kc);
a=(1-rfm)/(1+rfm);
b=(1-rms*exp(2*1i*dm*km))/(1+rms*exp(2*1i*dm*km));
c=(1-rfa)/(1+rfa);
f=(1-rac*exp(2*1i*da*ka))/(1+rac*exp(2*1i*da*ka));
pfms=2*atan(1i*a*b);
pfac=2*atan(1i*c*f);
y=2*kf*df-pfms-pfac;
%iter = iter + 1;
%end
%end
end
pl plot between dy/dx vs da this is the running program

Answers (0)

Categories

Find more on Programming in Help Center and File Exchange

Tags

Products


Release

R2021b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!