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Modeling of multiple scattering among vias in planar waveguides using Foldy–Lax equations
Author(s) -
Tsang Leung,
Chen Houfei,
Huang ChungChi,
Jandhyala Vikram
Publication year - 2001
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.1398
Subject(s) - scattering , planar , coupling (piping) , matrix (chemical analysis) , microwave , waveguide , mathematical analysis , equivalence (formal languages) , physics , mathematics , optics , materials science , computer science , quantum mechanics , pure mathematics , computer graphics (images) , metallurgy , composite material
The full‐wave solution of multiple scattering among cylindrical vias in planar waveguides is modeled by using Foldy–Lax equations. By using the equivalence principle, the coupling among traces with many vias is decomposed into interior and exterior problems. For the interior problem, the dyadic Green's function is expressed in terms of vector cylindrical waves and waveguide modes. The Foldy–Lax equations of multiple scattering among the cylindrical vias are calculated. The waveguide modes are decoupled in the Foldy–Lax equations. The scattering matrix of coupling among vias is calculated. Numerical simulations of the scattering matrix are illustrated for several hundred vias. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 31: 201–208, 2001.