Singular behavior of the Berenger and leaky-modes series composing the 2D Green's function for the microstrip substrate

✍ Scribed by Hendrik Rogier; Daniël De Zutter

• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 155 KB
• Volume: 33
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/mop.10244

✦ Synopsis

Abstract

The singular behavior of the modal expansions is examined in Berenger and leaky modes for the Green's functions G~A~ and G~V~ of a 2D microstrip substrate. When the excitation point approaches the source point, and both are lying in the microstrip substrate, the Green's function exhibits a singularity that corresponds to the open configuration without a perfectly matched layer. This observation remains valid when one or both points are lying on the substrate–air interface, unless G~A~ is being considered for a nonmagnetic (μ~r~ = 1) substrate. In the latter case a different singularity is obtained when both excitation point and source point are lying on the interface. That singularity is of a higher order and depends on the characteristics of the PML. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 33: 87–93, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10244