Rigorous, full-vectorial source-type integral equation analysis of circularly curved channel waveguides

• Published in: IEEE transactions on microwave theory and techniques Vol. 43; no. 2; pp. 401 - 409
• Main Authors: Bastiaansen, H.J.M., van der Keur, J.M., Blok, H.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.1995; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Circuit properties; Electric, optical and optoelectronic circuits; Electromagnetic fields; Electromagnetic radiation; Electromagnetic waveguides; Electronics; Exact sciences and technology; Integral equations; Integrated optics; Integrated optics. Optical fibers and wave guides; Magnetic losses; Optical and optoelectronic circuits; Optical losses; Optical waveguides; Propagation constant; Propagation losses; Ridge waveguide; Modal analysis; Moment method; Numerical method; Bent waveguide; Circular; Field distribution; Channel waveguide; Equation resolution; Optical waveguide; Eigenvalue problem; Propagation constant; Transmission loss; Rectangular waveguide
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/22.348101

A source-type integral equation method is presented to determine the propagation constants, the radiation losses, and the electromagnetic field distributions of the discrete ("guided") modes in circularly curved, integrated optical channel waveguides embedded in a homogeneous background. The method can be extended to the case of a multilayered background, e.g. a ridge waveguide. The source-type integral equation forms an eigenvalue problem, where the electric field strength represents the eigenvector. This problem is solved numerically by applying the method of moments. Numerical results are presented for various rectangular channel waveguides situated in a homogeneous embedding and compared with those of other modeling methods.< >