I have simulated an structure on IE3D from which i got S11 and s21 ..................
then i want to use MATLAB to calculate effective values of permeability and permittivity in order to check type of metamaterial (Negative refractive index ).......I am using Method explained in physical review paper by d r smith..........
***************please check am i going right with this formula or I have to change the approach ****************
% extracted values of frequency %
f=[1.00000000,1.67346939, 1.89795918,2.34693878, 2.79591837, 3.02040816, 3.24489796, 3.69387755 ,4.36734694 ,4.81632653 ,5.26530612,5.71428571,6.38775510 , 7.06122449 , 7.51020408 , 8.85714286 , 9.30612245 , 9.75510204 ,10.20408163 ,10.65306122 , 10.87755102 , 11.10204082 , 11.77551020 ];
% s11 parameter %
s11=[-10.2096766593,-7.6772215391,-7.5990323576,-8.8890690294,-19.7071254719,-11.1259166031, -3.3145373349 , -0.7839962323 , -3.4421138099 , -3.9468612419, -5.3320037502, -7.5585127979, -14.8891887486 , -19.9105565933 , -12.7098476122 ,-14.0834418139 , -32.4189096035 , -10.1206097795, -5.5714529494 ,-2.2400924818 , -1.2289516205 , -0.8503614427 , -5.7961227275];
%extracted s21 parameter from simulation%
s21=[-0.7915865485,-1.6875595060,-1.9007912686,-2.0296233434,-1.5034860028,-1.2149884970 , -5.4510835084, -26.7766971832 , -5.9835155484 , -5.2473000329 , -4.2659963387 , -3.1587227525 , -1.3988610332 , -0.3081867986, -1.3291504276 , -1.9306769742 , -0.6652145887 , -2.6538876439, -7.1033229681, -12.0406416672 , -11.7075593833 , -8.5077506090 ,-1.7398624551];
% formula from IEEE paper %
n=(acos((1./(2.*s21)).*(1-(s11).^2-(s21).^2)))./1.6; % Index %
z=sqrt(((1+s11).^2)-(s21).^2)./(((1-s11).^2)-(s21).^2); % Impedence %
subplot(3,1,1)
plot(f, real(n), 'blue', f, imag(n), 'r');
title('index');
u=n.*z; % permeability %
e=n./(z); % permittivity %
subplot(3,1,2)
plot(f, real(u), 'blue', f, imag(u), 'r');
title('permeability');
u=n.*z;
subplot(3,1,3);
plot(f, real(e), 'blue', f, imag(e), 'r');
title('permittivity');
Can you send me the paper from where you are taking solution? Email ID: [email protected]
Basically I am using only two paper most 1) ziolwoski (NRW approach)
2) D.R.Smith ( Direct retrieval using S11 AND S21)
@umair : Http://www.electronics-eetimes.com/en/broad-band-patch-antenna-using-ebg-substrate.html?cmp_id=34&news_id=222911236#
Hi Manish, Read my paper entitled "Wideband Miniaturized Polarization
Dependent High impedance Surface Incorporating Metamaterials” IEEE Antenna and Wireless Propagation Letter, pp. 764-766, vol. 9, 2010" and you can easily find the solution. If not, please feel free to contact me. Enjoy solving the problem :)
@ashish: I have simulated my structure in HFSS and extracted the parameters ........i have attached the file ...............pls verify the results are they good enough.....
went through your results. ~10GHz; nice. epsilon and mu and z...Good Roughly all are fine. Do u wish to justify a DNG? Also smith D R etc papers u mentioned are v good methods. U can use S11 and Z conversion simple formulae of circuit theory using MATLAB coding to extract them..Best wishes
Manish: use robust retrieval parameter method and verify your code in matlab , check at every frequency component n will be continue means it will nt become infinite at any point.
@amit patel : thanx for your comment and yes' i am already through it.
We follow a slightly different approach, we calculate ABCD parameters and calculate effective permittivity and permeability (see this paper: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1629554)
Two interesting papers for you :
"Robust method to retrieve the constitutive effective parameters of metamaterials", PHYSICAL REVIEW E 70, 016608 (2004) http://journals.aps.org/pre/abstract/10.1103/PhysRevE.70.016608
IEEE Xplore : "A Unique Extraction of Metamaterial Parameters Based on Kramers–Kronig Relationship". The authors provide their matlab tool online.
can any one help me ,how to design unit cell of metamaterial,i m working on metamaterial based wearable antenna ,if any one can guide me ,plz help me and share some helping materials with me. i m will be very grade ful for this kindness
Manish Upadhyay I have similar challenge can you help me out. thanks. email: [email protected]
I have also challenged. Please help about the matlab code.
email: [email protected]
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