Recent content by njuclean

I'm glad to see your reply again. The eigenvalues of the two dimensional matrix (a11=i, a12=0, a21=0, a22=-i) are \lambda1=i and \lambda2=-i. For \lambda1, R1=(1 0)T and L1=(1 0). For \lambda2, R2=(0 1)T and L2=(0 1). Thus \sumRjLj=R1L1+R2L2=I. I think it's necessary for me to read some...

Thanks for your reply. Are the right vectors of a non-hermitian matrix in general not the orthogonal and complete bases? I'm lack of the knowledge of linear algebra, so my question maybe too simple.

I'm learning "the transformation optics" and the first document about this method is "Photonic band structures" ( Pendry, J. B. 1993). In this document, the transfer matrix T is non-hermitian, Ri and Li are the right and left eigenvectors respectively. Pendry defined a unitary matrix...