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How to remove the vertical lines of band gaps?

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GULZAR
GULZAR 2023-8-14
回答： GULZAR 2023-8-14
clc
close all
c = 3e8;
d1 = 0.4;
d2 = 0.6;
d = d1 + d2;
n1 = sqrt(12);
n2 = 1;
lambda = linspace(400e-3,800e-3, 10000);
D1 = (2*pi*n1*d1)./lambda;
D2 = (2*pi*n2*d2)./lambda;
RHS = cos(D1).*cos(D2) - 0.5*(n1^2+n2^2)/(n1*n2) * sin(D1) .*sin(D2);
kz =acos(RHS)/d;
figure(1)
plot(kz,lambda,'r')
figure(1)
hold on
plot(-kz,lambda,'r')
hold off
How to remove the vertical lines(i.e, imaginary or forbidden range of the function) in band gap

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采纳的回答

Sulaymon Eshkabilov
Ran in:
If I understood your question correctly, one of the possible easy solutions is to use logical indexing to remove those data points (vertical data points) from the data to be plotted, e.g.:
clc
close all
c = 3e8;
d1 = 0.4;
d2 = 0.6;
d = d1 + d2;
n1 = sqrt(12);
n2 = 1;
lambda = linspace(400e-3,800e-3, 10000);
D1 = (2*pi*n1*d1)./lambda;
D2 = (2*pi*n2*d2)./lambda;
RHS = cos(D1).*cos(D2) - 0.5*(n1^2+n2^2)/(n1*n2) * sin(D1) .*sin(D2);
kz =acos(RHS)/d;
IDX1 = kz>3.1415;
kz(IDX1)=[];
lambda(IDX1)=[];
figure(1)
plot(kz,lambda,'r*')
Warning: Imaginary parts of complex X and/or Y arguments ignored.
figure(1)
hold on
plot(-kz,lambda,'r*')
Warning: Imaginary parts of complex X and/or Y arguments ignored.
hold off
  1 个评论
GULZAR
GULZAR 2023-8-14
编辑：GULZAR 2023-8-14
But, I need to remove the center vertical lines also. The below figure is the plot of RHS vs lamda. From these exclude values([-1,1]) of RHS vs lambda is created the band gap(forbidden range) in kz vs lamda.
You are using the kz>3.1415, i understood. But i need complete band gap (without vertical line).
figure(1)
plot(kz,lambda,'r')
figure(1)
hold on
plot(-kz,lambda,'r')
hold off
figure(1)
hold on
plot(RHS,lambda,'b')
hold off
figure(1)
hold on
plot(-RHS,lambda,'b')
hold off
figure(2)
plot(RHS,lambda,'b')
figure(2)
hold on
plot(-RHS,lambda,'b')
hold off

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更多回答（1 个）

GULZAR
GULZAR 2023-8-14
clc
close all
c = 3e8;
d1 = 0.4;
d2 = 0.6;
d = d1 + d2;
n1 = sqrt(12);
n2 = 1;
lambda = linspace(400e-3,800e-3, 10000000);
D1 = (2*pi*n1*d1)./lambda;
D2 = (2*pi*n2*d2)./lambda;
RHS = cos(D1).*cos(D2) - 0.5*(n1^2+n2^2)/(n1*n2) * sin(D1) .*sin(D2);
kz1 =acos(RHS)/d;
IDX1 = -1<RHS<1;
kz1(IDX1)=nan;
lambda(IDX1)=nan;
kz=real(kz1);
kz(kz==0)=nan;
figure(1)
plot(kz,lambda,'r')
figure(1)
hold on
plot(-kz,lambda,'r')
hold off
This is the required plot. Any other possible.... Please let me know.
Thank you.

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