Problem related complex number equation in Matlab

Hi all,

I am new matlab. I need one help from the matlab community. I hope you all help me

I have an complex number equation which i want to solve using matlab

I want to calculate Rl (dB) which is as follow

Rl(dB) = 20 log ((Zin-1)/(Zin+1))

where Zin = √((μ'-iμ″)/(ε'-iε″ )) tanh((2πift√((μ^'-iμ″)(ε'-iε″))/C))

where

C= velocity of light (3×10^8 m/s)

μ'=Real part of permeability

μ″=Imaginary part of permeability

ε'= Real part of permitivity

ε″=Imaginary part of permitivity

f = frequency

t= thickness of material (1 mm)

where f, μ', μ″, ε' and ε″ are variable and value of these variables are known to me (each variable has 52 different values)

As these variables has 52 different values which means Zin will have results in 52 values and similarily Rl(dB) has 52 values

I am attaching the data of these variable with this message; additionally, i am also attaching the word file of the equation

Any lead shall be appreciated

Thanks and Regrad

[Walter Roberson]

Are the 52 values independent? Are you trying to solve the equations under 52 different conditions? Or are they forming simultaneous equations?

[Manish Kumar]

@Walter Roberson and @Cris LaPierre.. Hi thank you for your response .. Yes, all the 52 values are independent..this equation just need an loop to read these 52 values one by one and provide an calculated results. For Example:

f, μ', μ″, ε' ε″

2E+08 4.76 7.97E-01 1.15E+01 1.16E-01 First want to calculate the Zin for this row

2.96E+08 4.75 6.81E-01 1.14E+01 1.88E-01 then want to calculate the Zin for this row

likewise i wish to like to calculate the Zin for all other row and then Rl (dB)

Kindly help me to write syntax for complex number and apply the loop

Thanks and Regards

[Sulaymon Eshkabilov]

Can you post what you have done so far? Imaginary numbers can be respresented in matlab:

a = 3; b = a + a*1i;         % 1i is an imaginary # OR
a = 3; b = a + a*sqrt(-1);   % To be confident 100%

[Manish Kumar]

@Sulaymon Eshkabilov I am facing difficulty to write the syntax of the above equation and applying loop in it

Answer 1

[Walter Roberson]

format long g
C = 3e8;
t = 1;

f = [2e+8, 2.96e+8];
mu_prime = [4.76, 4.75];
mu_dprime = [7.79e-01, 6.81e-01];
eta_prime = [1.15e+01, 1.14e+01];
eta_dprime = [1.16e-01, 1.88e-01];

mu = mu_prime - 1i * mu_dprime;
eta = eta_prime - 1i * eta_dprime;
Zin = sqrt(mu ./ eta) .* tanh(2i .* pi .* f .* t .* sqrt(mu .* eta) ./ C);
Rl_dB = 20*log((Zin-1)./(Zin+1))

Rl_dB = 
           -30.175454443798 -      59.2864122947924i          -30.7642278411602 -      60.0035633348152i

[Manish Kumar]

Thank you so much @Walter Roberson

[旭 高]

你好 能说的再详细一点嘛 我刚开始用这个程序 不是很明白如何操作