Low eccentricity elliptical fibers with helical windings under slow-wave consideration—Some special cases

Analytical investigation of the lightwave propagation through dielectric elliptical fibers with conducting helical windings on the core-clad boundary is presented under the consideration of slow-wave approximation. The analysis essentially requires the use of elliptical coordinate system. Mathieu and the modified Mathieu functions are used as the representatives of the electromagnetic fields within the structure. Field components in the different sections of the guide are presented, and the characteristic dispersion relations for the system are deduced for 0° and 90° pitch angles. The investigation reveals that the pitch angle has ultimately no effect on the dispersion relations for their selected values. The effect of core ellipse eccentricity on the dispersion characteristics is presented for two different operating wavelengths, and considering different values of the core major axis length.