arXiv subjects

Shouhei Kakigi

Publications and source records attributed to Shouhei Kakigi.

3 recordsLinked to original sources

arXiv1999

A New Vortex Solution for Two-Component Nonlinear Schroedinger Equation in Anisotropic Optical Media

A theoretical study is given of a new type of optical vortex in nonlinear anisotropic media. This is realized as a special solution of the two-component non-linear Schroedinger equation. The vortex is inherent in the spin texture that is caused by an anisotropy of dielectric tensor, for which a role of spin is played by the Stokes vector (or pseudo-spin). By using the effective Lagrangian for the pseudo-spin field, we give an explicit form for the vortex solution for the case of two types of optical anisotropy; that is, nonlinear counterpart of birefringence giving rise to the Faraday and Cotton-Mouton effects. We also examine the evolution equation of the new vortex with respect to the propagation direction.

cond-mat.mtrl-sci↗

arXiv1998

Optical Spin Vortex in Nonlinear Anisotropic Media

A theoretical study is given of a new type of optical vortex in nonlinear anisotropic media. This is called an ``optical spin vortex'', which is realized as a special solution of the two-component non-linear Schrödinger equation. The existence of spin vortex is inherent in the spin texture that is caused by the anisotropy of dielectric tensor, where a role of spin is played by the Stokes vector. By introducing the effective Lagrangian governing the non-linear Schrödinger equation, we derive the evolution equation for the motion of spin vortex, which exhibits a clear distinction from the conventional singular vortex inherent in the phase function that is described by the single component complex field.

cond-mat.mtrl-sci↗

arXiv1998

Maxwell-Schroedinger Equation for Polarized Light and Evolution of the Stokes Parameters

By starting with the Maxwell theory of electromagnetism, we study the change of polarization state of light transmitting through optically anisotropic media. The basic idea is to reduce the Maxwell equation to the Schroedinger like equation for two levels (or states) representing polarization. By using the quantum mechanical technique, the density matrix, and path integral, the evolution of the Stokes parameters results in the equation of motion for a pseudospin representing a point on the Poincare sphere. Two typical examples relevant to actual experiments are considered; the one gives the generalized Faraday effect, and the other realizes an optical analog of magnetic resonance.

cond-mat↗