Analisis Variasi Karakteristik Respon Reflectivity dan Side Lobe Strength Serat Optik pada Filter Fiber Bragg Grating

LAMPIRAN

Universitas Sumatera Utara

LAMPIRAN A
Visualisasi Kurva Pemantulan dan Kekuatan Lobe Sisi
Untuk z = 2 mm

(a) Apodisasi Gaussian
(b)

(c) Apodisasi Raised-Cosine
(d)

(e) Apodisasi Synchronous
Gambar 4.5 Kurva Pemantulan & Lobe Sisi untuk z = 2mm

Universitas Sumatera Utara

Untuk z = 3 mm


(a) Apodisasi Gaussian

(b) Apodisasi Raised-Cosine

(c) Apodisasi Synchronous
Gambar 4.6 Kurva Pemantulan & Lobe Sisi untuk z = 3mm

Universitas Sumatera Utara

Untuk z = 4 mm

(a) Apodisasi Gaussian

(b) Apodisasi Raised-Cosine

(c) Apodisasi Synchronous
Gambar 4.7 Kurva Pemantulan & Lobe Sisi untuk z = 4mm

Universitas Sumatera Utara


Untuk z = 6 mm

(a) Apodisasi Gaussian

(b) Apodisasi Raised-Cosine

(c) Apodisasi Synchronous
Gambar 4.8 Kurva Pemantulan & Lobe Sisi untuk z = 6mm

Universitas Sumatera Utara

Untuk z = 7 mm

(a) Apodisasi Gaussian

(b) Apodisasi Raised-Cosine

(c) Apodisasi Synchronous
Gambar 4.9 Kurva Pemantulan & Lobe Sisi untuk z = 7mm


Universitas Sumatera Utara

Untuk z = 8 mm

(a) Apodisasi Gaussian

(b) Apodisasi Raised-Cosine

(c) Apodisasi Synchronous
Gambar 4.10 Kurva Pemantulan & Lobe Sisi untuk z = 8mm

Universitas Sumatera Utara

Untuk z = 9 mm

(a) Apodisasi Gaussian

(b) Apodisasi Raised-cosine

(c) Apodisasi Synchronous

Gambar 4.11 Kurva Pemantulan & Lobe Sisi untuk z = 9mm

Universitas Sumatera Utara

LAMPIRAN B
Listing Code Software MATLAB R2010
Visualisasi Kurva Pemantulan dengan Fungsi-Fungsi Apodisasi

a. Tanpa Apodisasi

%spektrum reflektansi filter
%refleksi lamda2
n=1;
for lamda = 1550.34:0.01:1556.32;
n1=1.47;
n2=1.457;
lb2=1553.33;
r=10000;
%untuk lamda 2
v2 = (2*pi*r./lb2)*sqrt(n1^2 - n2^2);neff2 = sqrt (n2^2 +

(lb2 .^2.*(1.1428.*v2 - 0.996).^2./(4*pi^2*r^2)));
per2 = lb2./(2.*neff2);
N=10000;
l2=N*per2;
delta_n=0.0003;
koe_koplinPout = (pi.*delta_n/lamda)
k2 = (2*pi*neff2)/lamda;
delta_k2 = k2 - (pi./per2);
s2 = sqrt (koe_koplinPout.^2 - delta_k2.^2);
T11 = (cosh (s2*l2))-1i*(delta_k2./s2)*sinh(s2*l2);
T12 = 1i *(koe_koplinPout/s2)*sinh(s2*l2);
T21= -1i*(koe_koplinPout/s2)*sinh(s2*l2);
T22=(cosh(s2*l2)) + 1i *((delta_k2/s2)*sinh(s2*l2));
T = [T11 T12; T21 T22];
Tout = T;
refl (n) = abs (Tout (2,1)./Tout (1,1)).^2;
n=n+1;
end
lamda = 1550.34:0.01:1556.32;
n=n+1;

n=1:599;
g = refl (n);
figure (2)
plot (lamda,g,'-');
grid on

Universitas Sumatera Utara

b. Apodisasi Gaussian
%spektrum reflektansi filter
%refleksi lamda2
n=1;
for lamda = 1548.34:0.01:1554.32;
n1=1.47;
n2=1.457;
lb2=1550.33;
r=10000;
%untuk lamda 2
v2 = (2*pi*r./lb2)*sqrt(n1^2 - n2^2);neff2 = sqrt (n2^2 +
(lb2 .^2.*(1.1428.*v2 - 0.996).^2./(4*pi^2*r^2)));

per2 = lb2./(2.*neff2);
N=10000;
l2=N*per2;
delta_n=0.0001;
z=1;
%1≤z≤10
L=10;
koe_koplinPout = (pi.*delta_n/lamda).*exp(-log (2*((0.5*z2.5).^2)));
k2 = (2*pi*neff2)/lamda;
delta_k2 = k2 - (pi./per2);
s2 = sqrt (koe_koplinPout.^2 - delta_k2.^2);
T11 = (cosh (s2*l2))-1i*(delta_k2./s2)*sinh(s2*l2);
T12 = 1i *(koe_koplinPout/s2)*sinh(s2*l2);
T21= -1i*(koe_koplinPout/s2)*sinh(s2*l2);
T22=(cosh(s2*l2)) + 1i *((delta_k2/s2)*sinh(s2*l2));
T = [T11 T12; T21 T22];
Tout = T;
refl (n) = abs (Tout (2,1)./Tout (1,1)).^2;
n=n+1;
end

lamda = 1548.34:0.01:1554.32;
n=n+1;
n=1:599;
g = refl (n);
figure (2)
plot (lamda,g,'-');
grid on

Universitas Sumatera Utara

c. Apodisasi Raised-cosine
%spektrum reflektansi filter
%refleksi lamda2
n=1;
for lamda = 1548.34:0.01:1554.32;
n1=1.47;
n2=1.457;
lb2=1550.33;
r=10000;
%untuk lamda 2

v2 = (2*pi*r./lb2)*sqrt(n1^2 - n2^2);neff2 = sqrt (n2^2 +
(lb2 .^2.*(1.1428.*v2 - 0.996).^2./(4*pi^2*r^2)));
per2 = lb2./(2.*neff2);
N=10000;
l2=N*per2;
delta_n=0.0001;
z=1;
%1≤z≤10
L=10;
koe_koplinPout = (pi.*delta_n/lamda).*0.5.*(1+cos
(3.14*(0.05*z-0.5)));
k2 = (2*pi*neff2)/lamda;
delta_k2 = k2 - (pi./per2);
s2 = sqrt (koe_koplinPout.^2 - delta_k2.^2);
T11 = (cosh (s2*l2))-1i*(delta_k2./s2)*sinh(s2*l2);
T12 = 1i *(koe_koplinPout/s2)*sinh(s2*l2);
T21= -1i*(koe_koplinPout/s2)*sinh(s2*l2);
T22=(cosh(s2*l2)) + 1i *((delta_k2/s2)*sinh(s2*l2));
T = [T11 T12; T21 T22];
Tout = T;

refl (n) = abs (Tout (2,1)./Tout (1,1)).^2;
n=n+1;
end
lamda = 1548.34:0.01:1554.32;
n=n+1;
n=1:599;
g = refl (n);
figure (2)
plot (lamda,g,'-');
grid on

Universitas Sumatera Utara

d. Apodisasi Synchronous
%spektrum reflektansi filter
%refleksi lamda2
n=1;
for lamda = 1548.34:0.01:1554.32;
n1=1.47;
n2=1.457;

lb2=1550.33;
r=10000;
%untuk lamda 2
v2 = (2*pi*r./lb2)*sqrt(n1^2 - n2^2);neff2 = sqrt (n2^2 +
(lb2 .^2.*(1.1428.*v2 - 0.996).^2./(4*pi^2*r^2)));
per2 = lb2./(2.*neff2);
N=10000;
l2=N*per2;
delta_n=0.0001;
z=1;
%1≤z≤10
L=10;
koe_koplinPout = (pi.*delta_n/lamda).*sinc(0.628*z-3.14);
k2 = (2*pi*neff2)/lamda;
delta_k2 = k2 - (pi./per2);
s2 = sqrt (koe_koplinPout.^2 - delta_k2.^2);
T11 = (cosh (s2*l2))-1i*(delta_k2./s2)*sinh(s2*l2);
T12 = 1i *(koe_koplinPout/s2)*sinh(s2*l2);
T21= -1i*(koe_koplinPout/s2)*sinh(s2*l2);
T22=(cosh(s2*l2)) + 1i *((delta_k2/s2)*sinh(s2*l2));
T = [T11 T12; T21 T22];
Tout = T;
refl (n) = abs (Tout (2,1)./Tout (1,1)).^2;
n=n+1;
end
lamda = 1548.34:0.01:1554.32;
n=n+1;
n=1:599;
g = refl (n);
figure (2)
plot (lamda,g,'-');
grid on

Universitas Sumatera Utara