Extending the Capabilities of the GRASP and CAESAR
Software to Analyze and Optimize Active Beamforming Array
Feeds for Reflector Systems
M.V. Ivashina
1
, O. Iupikov
2
, and W. van Cappellen
1
1
Netherlands Institute for Radio Astronomy (ASTRON), P.O. Box 2, 7990 AA Dwingeloo, The Netherlands Dwingeloo, The Netherlands.
e-mail: ivashina@astron.nl , cappellen@astron.nl tel.: +31 521 595 100, fax: +39 011 5644099.
2
Sevastopol National Technical University, Radio Engineering Dept., Sevastopol, 99053, Ukraine
Abstract − This paper describes a numerical approach for the
analysis of a reflector antenna system which is fed by a Phased
Array Feed. This approach takes mutual interaction effects
into account between the antenna array and the low noise
amplifiers in the evaluation of the system sensitivity and
optimization of the beamformer weights, and can be used
when several signal and noise sources are present on the sky,
ground, and inside the system itself. The described
methodology has been applied to a practical PAF (comprising
144 tapered slot antennas operating from 1 to 1.75 GHz)
which is installed at a 25-m reflector antenna. Comparison of
numerical and experimental results shows a good agreement.
1 MOTIVATION AND OBJECTIVES
An important limitation of conventional single-beam
radio telescopes is that they can observe only a small
region of the sky for each beam pointing. This
problem can be surmounted by novel Phased Array
Feeds (PAFs) of many electrically small antenna
elements that are capable to provide closely
overlapping beams on the sky in one snapshot and,
hence, can greatly improve the size and continuity of
the Field Of View (FOV) [1, 2]. However, the design
of a PAF system represents a great challenge, as it
requires an accurate analysis of the interaction
between array element mutual coupling, receiver
noise and beamformer weights to maximize the
system sensitivity. Strong mutual coupling between
the array elements is essential for achieving a wide
frequency bandwidth and large FOV, but results in a
strong correlation between the signal/noise waves,
which propagate through the antenna-receiver
system. These waves are then complex weighted and
combined in a digital beamforming network to
realize multiple beams [3-4]. Consequently,
optimization of beamforming FPA systems is no
longer an antenna or LNA problem alone, but it
becomes a combined antenna – LNA and signal
processing problem.
In this paper we will present a numeral approach
for the analysis and the optimization of PAF systems.
This approach has been implemented in a newly
developed toolbox for the CAESAR software [5]
which interfaces the combined EM and Microwave
Circuit solver with GRASP9 [6] to be able to
perform the PAF system analysis in its entirety. The
developed toolbox has been tailored to compute the
overall (reflector-array-receiver) system noise-wave
correlation matrix and the signal-wave vectors due to
several signal and noise sources on the sky and
inside the system itself. Based on these results, the
optimum beamformer weights can be calculated for
the specified observation directions and selected
performance criteria [7-8].
The modeling approach has been applied to an
experimental PAF system (APERTIF prototype)
which is installed on the Westerbork Synthesis Radio
Telescope. The numerical results have been obtained
for the PAF prototype comprising 144 dual-polarized
tapered slot antenna elements and demonstrate a very
good agreement with the measurements performed at
one of the telescope’s reflector.
2 MODELING APPROACH
First, we will summarize the capabilities of two
existing state-of-the-art software tools (GRASP and
CAESAR) that can be used to analyze/design
reflector antennas and array-receiver systems.
Afterwards, it is descried how the underlying
methodology can be extended for the analysis and
optimization of PAF receiving systems. The
CAESAR (Computationally Advanced and Efficient
Simulator for ARrays) software is a customized
numerical tool for radio astronomy that has been
developed at ASTRON. The CAESAR
ElectroMagnetic (EM) MoM solver has been tailored
to compute the antenna radiation and impedance
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