100 IEEE ANTENNAS & PROPAGATION MAGAZINE AUGUST 2017
TESTING OURSELVES
Levent Sevgi
MATLAB-based propagation tool
called plate graphical user interface
(PlateGUI), which calculates and
shows electromagnetic (EM) fields inside
a parallel-plate waveguide using different
analytical and numerical models, was
developed and is discussed in this article.
PlateGUI can be used in graduate-level
courses that deal with guided-wave the-
ory and computational electromagnet-
ics (CEM).
A NEW SIMULATION TOOL
EM problems are complex in nature, but
wave theory is well established with Max-
well equations. Solution strategies may
be grouped into three areas: analytical
modeling, numerical simulations, and
measurements. Measurement in EM is
time consuming, expensive, and, in most
cases, extremely difficult to do. A limited
number of analytical solutions is available
for only a few highly idealized problems,
so numerical simulation is the only means
for almost all real-life EM engineering
problems. This is why modeling and sim-
ulation in EM has made significant prog-
ress for the last couple of decades [1]–[4].
The philosophy is to keep it as simple
as possible so it can be used as a basic
CEM tool and supply simple MATLAB
codes so even beginners can use them.
Propagation inside a parallel-plate wave-
guide with perfectly electrical conducting
boundaries in two dimensions is one of
the most simple and widely used struc-
tures to achieve these tasks.
In the “Education Corner” column in
the April 2016 issue of IEEE Antennas
and Propagation Magazine [5], Maas-
kant and Rosen revisited this problem
and presented an analytical problem-
solving approach with educational value
for EM theory. In their article, they
also shared their MATLAB code. This
problem has been examined in several
studies before [6]–[19], some of which
were published in this magazine. The
classic paper for the analytical ray-
mode and hybrid formulations was first
presented by Kamel and Felsen in [7].
Visualizations of these hybrid ray-mode
techniques were discussed in [12], and a
free MATLAB package was introduced.
Algorithms and codes for the numerical
solution of this problem using different
models were also presented—e.g., finite
difference time domain (FDTD) in [15],
the parabolic equation (PE) method in
[16] and [17], the method of moments
(MoM) in [18], and so forth. There are
also several books that have become clas-
sics in the presentation of this problem
(e.g., [20]–[26]).
Propagation inside a parallel-plate
waveguide is an interesting EM prob-
lem where both analytical and numeri-
cal models can be comparatively tested
against each other.
■ First, the Green’s function solution is
exact but requires an infinite num-
ber of mode summations. This is a
numerical challenge, especially in the
near vicinity of the line or Gaussian
source. The modes are categorized
into two groups: propagating modes
and evanescent modes. The number
of propagating modes depends on
the frequency and the plate width. A
tilted directional antenna can also be
located inside and modeled in terms
of modes, but modal excitation coef-
ficients become complex in this case.
This is another numerical challenge,
A MATLAB-Based Virtual Tool for Simulations of
Wave Propagation Inside a Parallel-Plate Waveguide
Gökhan Apaydin and Levent Sevgi
Digital Object Identifier 10.1109/MAP.2017.2707324
Date of publication: 4 August 2017
1045-9243/17©2017IEEE
EDITOR’S NOTE
In this issue’s “Testing Ourselves” column, a MATLAB-based education tool that can
directly be used for both undergraduate- and graduate-level guided wave theory
and computational electromagnetics types courses is introduced. The tool can be
downloaded from http://leventsevgi.net/index.php?page=emvirtualtools. The authors
are also willing to share this upon request.
A