** Authors:**
MUSTAFA TEMİZ, MEHMET ÜNAL

** Abstract: **
In this work, semiconductor step-index single waveguide has
been analyzed by Alpha Method. A requested quantity of wave guide can
be obtained in terms of normalized propagation constant, which is
represented by alpha belonging to active region. Based on this
method, structural properties of the material containing any requested
quantity of the waveguide is theoretically calculated, when the width
of the active region, the refractive indices of the regions and the
wavelength are given.
In the TE mode some important parameters, such as the propagation
constants for regions of the semiconductor step-index single
waveguide, the wave numbers, the effective index of refraction of the
active region, the dielectric constant, the phase constant, the
absorption coefficients, and the confinement factors of the regions,
stray ratios of the field probabilities to the cladding regions from
the active region, arised power per unit length and effective mass of
electron in the active region, \eta , \zeta coordinate variables for
energy eigenvalues for charged carriers in the orthogonal coordinate
system \zeta -\eta , have been estimated, calculated theoretically and
validities of found formulas have been tested, numerically. Since the
effective refractive index belonging to the active region is constant,
the quantities such as the phase constant, the phase velocity, the
dielectric constant, the parameters \eta , \zeta , the field
amplitudes, the power raised per unit length, and effective mass of
the electron being constant have been observed.
In this novel study, some design parameters such as the normalized
frequency and a specially normalized propagation constant have been
obtained, depending on some parameters which are functions of energy
eigenvalues of the carriers such as electrons and holes confined in a
semiconductor single asymmetric and symmetric step-index wave guide
(SCSAaSSIWG) for even and odd fields. Some optical expressions about
the optical power and probability quantities for the active region and
cladding layers of the SCSAaSSIWG have been investigated in terms of
these parameters.

** Keywords: **
Normalized frequency, normalized propagation constant,
wave number, confinement factor, field probability ratio

** Full Text:** PDF