Abstract
Microstrip structures with a nonplanar shape have been extensively analyzed and studied due to their numerous practical applications. The present work examines a cylindrical microstrip with radially inhomogeneous substrate (cladding) and an axially infinite metallic patch. The permittivity follows a power law inside the cladding, and the Helmholtz equation possesses therein an analytical solution employing Bessel functions of noninteger order. The device is excited by a two-dimensional point source located into the substrate. The current on the patch is determined through an integral equation solved by the method of moments. Different dielectric constants for the cladding and electrical sizes of the microstrip, various positions of the excitation source and angular extents of the patch are considered. Their effects on the operation of the device are shown and discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 527-544 |
| Number of pages | 18 |
| Journal | Electromagnetics |
| Volume | 27 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Nov 2007 |
| Externally published | Yes |
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Keywords
- Cylindrical microstrip
- Green's function
- Integral equation
- Radially inhomogeneous dielectric
ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
Semi-analytic solution to a cylindrical microstrip with inhomogeneous substrate. / Valagiannopoulos, Constantine A.
In: Electromagnetics, Vol. 27, No. 8, 11.2007, p. 527-544.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Semi-analytic solution to a cylindrical microstrip with inhomogeneous substrate
AU - Valagiannopoulos, Constantine A.
PY - 2007/11
Y1 - 2007/11
N2 - Microstrip structures with a nonplanar shape have been extensively analyzed and studied due to their numerous practical applications. The present work examines a cylindrical microstrip with radially inhomogeneous substrate (cladding) and an axially infinite metallic patch. The permittivity follows a power law inside the cladding, and the Helmholtz equation possesses therein an analytical solution employing Bessel functions of noninteger order. The device is excited by a two-dimensional point source located into the substrate. The current on the patch is determined through an integral equation solved by the method of moments. Different dielectric constants for the cladding and electrical sizes of the microstrip, various positions of the excitation source and angular extents of the patch are considered. Their effects on the operation of the device are shown and discussed.
AB - Microstrip structures with a nonplanar shape have been extensively analyzed and studied due to their numerous practical applications. The present work examines a cylindrical microstrip with radially inhomogeneous substrate (cladding) and an axially infinite metallic patch. The permittivity follows a power law inside the cladding, and the Helmholtz equation possesses therein an analytical solution employing Bessel functions of noninteger order. The device is excited by a two-dimensional point source located into the substrate. The current on the patch is determined through an integral equation solved by the method of moments. Different dielectric constants for the cladding and electrical sizes of the microstrip, various positions of the excitation source and angular extents of the patch are considered. Their effects on the operation of the device are shown and discussed.
KW - Cylindrical microstrip
KW - Green's function
KW - Integral equation
KW - Radially inhomogeneous dielectric
UR - http://www.scopus.com/inward/record.url?scp=36248956133&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=36248956133&partnerID=8YFLogxK
U2 - 10.1080/02726340701669524
DO - 10.1080/02726340701669524
M3 - Article
VL - 27
SP - 527
EP - 544
JO - Electromagnetics
JF - Electromagnetics
SN - 0272-6343
IS - 8
ER -