sa_fig2_1.m

Smart antennas for wireless communication - With MATLAB (Gross F.B. - 2005 - McGraw-Hill)

%  Plot the ratio of alpha over beta where the loss tangent
% varies from 0 to 100.  Using semilog plot
%  Fields II problem

x=.001:.001:1000;
y=sqrt((sqrt(1+x.^2)-1)./(sqrt(1+x.^2)+1));
figure;semilogx(x,y,'k',.01,1,'k--',100,1,'k--')
%hold on
%fill([.001 .01 .01 .001],[0 0 1 1],[.96 .96 .96],'linestyle','--')
text(3E-3,.4,'Good Insulator','FontSize',10,'rotation',90)
%fill([100 1000 1000 100],[0 0 1 1],[.96 .96 .96],'linestyle','--')
text(300,.4,'Good conductor','FontSize',10,'rotation',90)
%hold off
xlabel('\sigma/\omega\epsilon')
ylabel('\alpha / \beta')
title('ratio of attenuation constant (\alpha) to phase constant (\beta)')
line([.01 .01],[0 1],'color','k','linestyle','--')
line([100 100],[0 1],'color','k','linestyle','--')

%text(3E-3,.4,'Good Insulator','FontSize',10,'rotation',90)
%text(300,.4,'Good conductor','FontSize',10,'rotation',90)
%hold on
%fill([.001 .01 .01 .001],[0 0 1 1],'r','linestyle','--')
%fill([.001 .01 .01 .001],[0 0 1 1],[.898 .898 .898],'linestyle','--')