A general transform for regularizing planar open waveguide dispersion relation

• Published in: Journal of lightwave technology Vol. 15; no. 2; pp. 383 - 390
• Main Authors: Bakhtazad, A., Abiri, H., Ghayour, R.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.1997; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Circuit properties; Conformal mapping; Dielectric substrates; Differential equations; Dispersion; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Integrated optics. Optical fibers and wave guides; Optical and optoelectronic circuits; Planar waveguides; Propagation constant; Slabs; Strips; Transforms; Transmission line matrix methods; Numerical analysis; Planar waveguide; Open waveguide; Dielectric materials; Dispersion relation; Characteristic equation; Multilayered waveguide
• ISSN: 0733-8724; 1558-2213
• DOI: 10.1109/50.554392

Recently, conformal mapping technique has been introduced to unfold the characteristic equation of multilayered dielectric waveguides. The previous transformations have various deficiencies, i.e., the corresponding transformed functions are either multivalued, or have a singular point. Also one of them is not generally applicable. We introduce a new mapping that has none of the above deficiencies. Furthermore, in the new plane, the modal zones are rectangular strips which facilitate the implementation of the corresponding numerical routines. By this transformation, various modes of general planar dielectric waveguides can be traced easily.