Matlab Limitation?
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Hey all, I've been performing some calculations with Matlab, and I've been getting unexpected results. I've been trying to calculate reflectance (R) of materials using this Fresnel equation:
R=(((n0-(n-1i.*k))./(n0+(n-1i.*k)))+(((n-1i.*k)-(n2-1i.*k2))./((n-1i.*k)+(n2-1i.*k2))).*(exp(-2.*1i.*(2.*pi./y).*(n-1i.*k).*120))./(1+((n0-(n-1i.*k))./(n0+(n-1i.*k))).*(((n-1i.*k)-(n2-1i.*k2))./((n-1i.*k)+(n2-1i.*k2))).*(exp(-2.*1i.*(2.*pi./y).*(n-1i.*k).*120))))
But all the answers I'm getting aren't what they should be (we're running a test with known values. If you want to give it a try, the values that we're currently using are as follows:
y = 250
n0 = 1
n = 1.61
k = 0
n2 = 1.69
k2 = 3.67
R = .5 (or somewhere around there)
But the answer I get is R = .092.
So, is Matlab incapable of performing such a calculation, or is there something that I can do differently go get this to work? I'd love to hear your thoughts on this one.
Thanks.
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John D'Errico
2012-2-15
Is it incapable? No. Have you written it out correctly? How can we even guess? What are the odds that as long a line as that, you have made a typo? I will point out that you do NOT get 0.092. You get a complex result.
R = 0.092354 - 0.74233i
My guess is you have a typo.
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