Electronic states of quantum ring are obtained by solving precisely the energy eigen-equation and a quantum bit is formed by both the ground state and the first excited state of the electron in the quantum ring.

The eigen equations of parallel-plate multilayer dielectric radial waveguide;

And the intrinsic conditions of the control points of the common boundary curves, in which the eigen equation is the special phenomenon of NURBS patches, are obtained as well.

It is the focus to get eigen equation of all kinds cross section waveguide in guide wave optics.

It is usually difficult to get the eigenequation of oval cross section waveguide.

The articcle extends the transfer matrix method to the circular symmetric waveguide problem, and higes the eigenequation,cut-off condition and far away cut-off condition.

In this article,the author applies the transfer matrix method to the study of the hollow-center optic fiber by using appropriate electromagnetic parameter,and works out the eigenequation,which is important to design the hollow-center optic fiber,to know the properties of electric field and their applications.

Eigen-values and Eigen-wavefunctions of the Bound Electronic States in a Finite Semi-parabolic Quantum Well;

The eigenvalue functions and propagation constants are deduced for this kind of wareguide by using the analysis method of slab waveguid.

An eigenmode equation of ion temperature gradient driven instability in a tokamak plasma with negative magnetic shear is solved numerically by the shooting method.