The σ_1={{0,1},{1,0}} and σ_2={{0,-i},{i,0}} are the Pauli matrices
I have to find diagonal to σ_1 in the (1/√2, +/- 1/√2) linear polarization basis and diagonal to σ_2 in the circular polarization basis (1/√2, +/- i/√2).
I found that diagonal to σ_1 is {{1,0},{0,-1}} (where 1 and -1 are...
not sure, but from Euler's formula which is exp(i*alpha)=cos(alpha)+i*sin(alpha) I know that exp(i*pi/2)=cos(pi/2)+i*sin(pi/2)=i. Then substituting i instead of exp(i*pi/2) in your last formula I ended up with matrix {{i,0},{0,-i}}
Your matrix looks like a half wave plate with extra term of...
Hi, I am analyzing the paper for my thesis and have
Equation
IF=-1*(1+cos(δ))*cot(θ)*σ_2-sin(δ)*cot(θ)*σ_1
where σ_1={{0,1},{1,0}} and σ_2={{0,-i},{i,0}} are the Pauli matrices
The component σ_1 is diagonal in the (1/√2, +/- 1/√2) linear polarization basis and the component σ_2 is...