AN INTEGRAL TRANSFORM TECHNIQUE FOR ANALYSIS OF PLANAR DIELECTRIC STRUCTURES Academic Article

abstract

• This paper presents a novel efficient technique for the study of planar dielectric waveguides for submillimeter-wave and optical applications. In an appropriate integral transform domain, which is determined by the Green's function of the substrate structure, higher-order boundary conditions are enforced in conjunction with Taylor expansions of the fields to derive an equivalent one-dimensional integral equation for the corresponding two-dimensional waveguide geometry. This reduction in the dimensionality of the boundary-value problem can easily be extended to three-dimensional planar structures, with equivalent two-dimensional integral equations being formulated. The reduced integral equations are solved numerically by invoking the method of moments, in which the transform-domain unknowns are expanded in a smooth localized entire-domain basis. It is demonstrated that using orthogonal Hermite-Gauss functions as an expansion basis provides very satisfactory results with only a few expansion terms. For the validation of the technique, single and coupled dielectric slab waveguides are treated.<>

authors

• Katehi, Linda

published proceedings

• IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

author list (cited authors)

• SABETFAKHRI, K., & KATEHI, L.

citation count

• 10

complete list of authors

• SABETFAKHRI, K||KATEHI, LPB

publication date

• June 1994

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Microwave Theory and Techniques  Journal

keywords

• Boundary Conditions
• Boundary-value Problem
• Boundary-value Problems
• Coupled Dielectric Slab Waveguides
• Dielectric Substrates
• Dielectric Waveguides
• Dimensionality
• Equivalent One-dimensional Integral Equation
• Equivalent Two-dimensional Integral Equations
• Expansion Basis
• Expansion Terms
• Green's Function
• Green's Function Methods
• Higher-order Boundary Conditions
• Integral Equations
• Integral Transform Domain
• Integral Transform Technique
• Integrated Optics
• Method Of Moments
• Numerical Analysis
• Optical Applications
• Optical Planar Waveguides
• Optical Waveguides
• Orthogonal Hermite-gauss Functions
• Planar Dielectric Structures
• Planar Waveguides
• Smooth Localized Entire-domain Basis
• Submillimeter Wave Technology
• Submillimeter-wave
• Submillimetre Wave Devices
• Substrate Structure
• Taylor Expansions
• Taylor Series
• Three-dimensional Planar Structures
• Transform-domain Unknowns
• Transforms
• Two-dimensional Waveguide Geometry
• Waveguide Theory

Digital Object Identifier (DOI)

• 10.1109/22.293576

start page

• 1052

end page

• 1062

volume

• 42

issue

• 6

URL

• http://dx.doi.org/10.1109/22.293576