Title :
Equivalent network representation of planar gratings with periodic distribution of dielectric constant
Author_Institution :
Cadlab, Siemens Nixdorf Informationssyst. AG, Paderborn, Germany
fDate :
5/1/1996 12:00:00 AM
Abstract :
An equivalent network representation of planar gratings with periodic distribution of dielectric constant is presented. The method is applicable in the same way to scalar as well as to vectorial diffraction problems. The approach is based on the coupled-wave theory which leads to a set of ordinary differential equations describing the tangential components of the electrical and magnetic field strengths. This set of equations is solved by using transmission line theory. The introduction of equivalent currents and voltages allows a diffraction analysis by using methods already known from conventional network theory. Thus, an impedance matrix and, after the introduction of power waves, a scattering matrix can be defined for describing the dynamical grating behaviour
Keywords :
S-matrix theory; dielectric devices; differential equations; diffraction gratings; electric fields; electric impedance; electromagnetic wave diffraction; equivalent circuits; magnetic fields; permittivity; transmission line theory; coupled-wave theory; dielectric constant; diffraction analysis; dynamical grating behaviour; electrical field strength; equivalent currents; equivalent network representation; equivalent voltages; impedance matrix; magnetic field strength; network theory; ordinary differential equations; periodic distribution; planar gratings; power waves; scalar diffraction problems; scattering matrix; tangential components; transmission line theory; vectorial diffraction problems; Couplings; Dielectric constant; Differential equations; Diffraction; Gratings; Magnetic analysis; Magnetic fields; Transmission line matrix methods; Transmission line theory; Voltage;
Journal_Title :
Magnetics, IEEE Transactions on