I want to find the maximum of lambda for a function M(lambda,T), describing the radiation, for fixed values of T using the method fminbnd. Basically it is a well-known formula for radiation and I want to know if there is some obvious things that are wrong. So, I red through the help section and came up with this:
%
T1=3000; %Define parameter
T2=4000;T3=5000;fminbnd(@(lambda)planck(lambda,T1),0,1e-5)%Second bound is chosen arbitrary
fminbnd(@(lambda)planck(lambda,T1),0,1e-5)fminbnd(@(lambda)planck(lambda,T1),0,1e-5)
All gives the same output..which is clearly wrong.
The function is defined by
%function M=planck(lambda,T)h=6.6256e-34; c=2.9979e8; k=1.3805e-23; a=2*pi*h*c^2;b=h*c/k./lambda./T;M=-a./lambda.^5./(exp(b)-1); %I put a minus sign since I want to minimize the negative function
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