2,356 research outputs found
Polarization control and sensing with two-dimensional coupled photonic crystal microcavity arrays
We have experimentally studied polarization properties of the two-dimensional
coupled photonic crystal microcavity arrays, and observed a strong polarization
dependence of the transmission and reflection of light from the structures -
the effects that can be employed in building miniaturized polarizing optical
components. Moreover, by combining these properties with a strong sensitivity
of the coupled bands on the surrounding refractive index, we have demonstrated
a detection of small refractive index changes in the environment, which is
useful for construction of bio-chemical sensors.Comment: 8 pages text and 4 figures on 4 pages. Submitted for publication on
07/14/0
Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulth\'en Potential
We find the exact bound-state solutions and normalization constant for the
Dirac equation with scalar-vector-pseudoscalar interaction terms for the
generalized Hulth\'{e}n potential in the case where we have a particular mass
function . We also search the solutions for the constant mass where the
obtained results correspond to the ones when the Dirac equation has spin and
pseudospin symmetry, respectively. After giving the obtained results for the
non-relativistic case, we search then the energy spectra and corresponding
upper and lower components of Dirac spinor for the case of -symmetric forms
of the present potential.Comment: 21 pages, 1 Tabl
Relativistic Approximate Solutions for a Two-Term Potential: Riemann-Type Equation
Approximate analytical solutions of a two-term potential are studied for the
relativistic wave equations, namely, for the Klein-Gordon and Dirac equations.
The results are obtained by solving of a Riemann-type equation whose solution
can be written in terms of hypergeometric function \,_{2}F_{1}(a,b;c;z). The
energy eigenvalue equations and the corresponding normalized wave functions are
given both for two wave equations. The results for some special cases including
the Manning-Rosen potential, the Hulth\'{e}n potential and the Coulomb
potential are also discussed by setting the parameters as required.Comment: 6 page
Approximate l-State Solutions of the Klein-Gordon Equation for Modified Woods-Saxon Potential With Position Dependent Mass
The radial part of the Klein-Gordon equation for the generalized Woods-Saxon
potential is solved by using the Nikiforov-Uvarov method in the case of
spatially dependent mass within the new approximation scheme to the centrifugal
potential term. The energy eigenvalues and corresponding normalized
eigenfunctions are computed. The solutions in the case of constant mass are
also studied to check out the consistency of our new approximation scheme.Comment: 15 page
Approximate analytical solutions of the Dirac equation for Yukawa potential plus Tensor Interaction with any -value
Approximate analytical solutions of the Dirac equation are obtained for the
Yukawa potential plus a tensor interaction with any -value for the
cases having the Dirac equation pseudospin and spin symmetry. The potential
describing tensor interaction has a Yukawa-like form. Closed forms of the
energy eigenvalue equations and the spinor wave functions are computed by using
the Nikiforov-Uvarov method. It is observed that the energy eigenvalue
equations are consistent with the ones obtained before. Our numerical results
are also listed to see the effect of the tensor interaction on the bound
states.Comment: 15 page
Exact Solutions of Effective Mass Dirac Equation with non-PT-Symmetric and non-Hermitian Exponential-type Potentials
By using two-component approach to the one-dimensional effective mass Dirac
equation bound states are investigated under the effect of two new
non-PT-symmetric, and non-Hermitian, exponential type potentials. It is
observed that the Dirac equation can be mapped into a Schr\"{o}dinger-like
equation by rescaling one of the two Dirac wave functions in the case of the
position dependent mass. The energy levels, and the corresponding Dirac
eigenfunctions are found analytically.Comment: 10 page
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