arXiv subjects
Publications and source records attributed to M. A. Kuntman.
We review 3-d reducible representation of the Lorentz group and introduce a 6-d irreducible representation tailored for transforming 6-d electromagnetic vector, and we show that the mixture of the density matrices associated with the left- and right-helical states is equivalent to the electromagnetic stress-energy tensor.
In polarization optics unitary and non-unitary operations can be carried out by the Jones matrix. $\mathbf{Z}$ matrix is the $4\times 4$ analogue of the Jones matrix and the Mueller matrix of a nondepolarizing optical medium can be written as $\mathbf{M}=\mathbf{Z}\mathbf{Z}^*$. Jones matrix acts on the two component complex Jones vector, while the $\mathbf{Z}$ matrix acts on the four component real Stokes vector. Polarizer and retarder $\mathbf{Z}$ matrices can be written in compact forms in terms of the components of the position vector on the Poincaré sphere. In this note it is shown that the Pancharatnam-Berry geometric phase can be demonstrated by unitary and non-unitary $\mathbf{Z}$ matrix operations.
We introduce a matrix method and we derive a formula for phase retardation effects in plasmonic systems. We analyze the circular dichroic response (CD) of two orthogonal Au nanorods in detail and we show that, although, theoretically, circular dichroism for forward scattering is directly proportional to the dipole-dipole interaction between the particles, CD response of the system can be much greater in weak coupling due to the trade off between two different types of phases.
Hybridized energies in rectangular nanoparticles may display an unusual behaviour. In some cases, they get separated with increasing distance between the particles. In this note this phenomenon is explained by an analytic method.
$2\times2$ complex Jones matrix transforms two dimensional complex Jones vectors into complex Jones vectors and accounts for phase introduced by deterministic optical systems. On the other hand, Mueller-Jones matrix transforms four parameter real Stokes vectors into four parameter real Stokes vectors that contain no information about phase. Previously, a $4\times4$ complex matrix ($\mathbf{Z}$ matrix) was introduced. $\mathbf{Z}$ matrix is analogous to the Jones matrix and it is also akin to the Mueller-Jones matrix by the relation $\mathbf{M}=\mathbf{Z}\mathbf{Z^*}$. It was shown that $\mathbf{Z}$ matrix transforms Stokes vectors (Stokes matrices) into complex vectors (complex matrices) that contain relevant phases besides the other information. In this note it is shown that, for deterministic optical systems, there exist two relations between outer product of experimentally measured real input-output Stokes vectors and complex vectors (matrices) that represent the polarization state and phase of totally polarized output light.