I have three equation given as:
- 2*cot (theta/2) = cot (k1/2) – cot (k2/2)
- N*k1 = 2pi*lambda1 + theta
- N*k2 = 2pi*lambda2 – theta
N=0,1,2… (up to some finite integer)
lambda1=[0,1,2…N-1]
lambda2=[0,1,2…N-1]
also there is equation which says k=k1+k2=2*pi*n/N such that n=[0, 1, 2…N]
I want to find combinations of lambda1 and lambda2 which will satisfy all three equation at the same time. I also want to find values of k1 and k2 when lambda1 and lambda2 are satisfying above three equations.
Any help please.
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