- #1
DanSandberg
- 31
- 0
In nonlinear optics the polarization of a molecule can be represented as a power series:
P(t)=X1E(t)+X2E2(t)+X3E3(t)+...
Where X1E(t) is the linear response and everything after is nonlinear. The polarization, P(t) and field strength E(t) are both vectors and X2 is a third-rank tensor, X3 is a fourth-rank, etc.
My question is... why is X2 a third-rank tensor? I'm having difficulty getting a straight answer as to what the indices represent. So in a paper where they say [tex]\beta[/tex]xxx what does that mean? (Where [tex]\beta[/tex] is commonly used in place of X2)
P(t)=X1E(t)+X2E2(t)+X3E3(t)+...
Where X1E(t) is the linear response and everything after is nonlinear. The polarization, P(t) and field strength E(t) are both vectors and X2 is a third-rank tensor, X3 is a fourth-rank, etc.
My question is... why is X2 a third-rank tensor? I'm having difficulty getting a straight answer as to what the indices represent. So in a paper where they say [tex]\beta[/tex]xxx what does that mean? (Where [tex]\beta[/tex] is commonly used in place of X2)