📄 r0.m
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%% r0=r0(lambda,R,DELTA,H,M,MU,MU0,SIGMA,SIGMA0,D,OMEGA);%% This function computes R0(lambda). The remaining arguments, R,...,OMEGA% describe the physical model including layers, conductivities, and % magnetic permeabilities.%function r0=r0(lambda,R,DELTA,H,M,MU,MU0,SIGMA,SIGMA0,D,OMEGA);%% Make space for some work arrays and the result. %N=zeros(M,1);u=zeros(M,1);Y=zeros(M-1,1);r0=zeros(length(lambda),1);%% Make sure that i is sqrt(-1) in what follows.%i=sqrt(-1);%% Now, loop through the lambda's.%imo=i*MU*OMEGA;ismo=i*SIGMA.*MU*OMEGA;for j=1:length(lambda)%% First, calculate all of the N and u values.% u=sqrt(lambda(j)^2+ismo); N=u./imo;%% Now, calculate the Y's.% Y(M-1)=N(M-1)*(N(M)+N(M-1)*tanh(u(M-1)*D(M-1)))/(N(M-1)+N(M)*tanh(u(M-1)*D(M-1))); for k=M-2:-1:1 tanhud=tanh(u(k)*D(k)); Y(k)=N(k)*(Y(k+1)+N(k)*tanhud)/(N(k)+Y(k+1)*tanhud); end%% Finally compute r0.% N0=sqrt(lambda(j)^2+i*SIGMA0*MU0*OMEGA)/(i*MU0*OMEGA);%% Check the value of r0(lambda)% r0(j)=(N0-Y(1))/(N0+Y(1));end
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