Analysis of a High Efficiency Reflector Feed Array

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Analysis of a high efficiency reflector feed array

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This article is based on a paper "ANALYSIS OF HIGH EFFICIENCY REFLECTOR FEED ARRAY USING A GENERAL-

PURPOSE SOFTWARE PACKAGE" [1]. The spacing of elements in an antenna array is determined by the requirement to

suppress grating lobe responses at the maximum operating frequency, and is typically around 0.6 wavelengths at this

frequency. For wideband arrays this means that the element spacing may approach a quarter of a wavelength or less in the

lower part of the operating band, implying strong electromagnetic coupling between the array elements. This mutual coupling

has a significant effect on the element match and radiation pattern and must be modelled accurately for optimal array design.

In large phased arrays, the "infinite array" approximation can be used for the majority of array elements and edge effects are

reduced to some extent by the use of passive, "guard" elements around the periphery of the array. However, for arrays of

moderate size, such as a focal-plane array (FPA) feed for a parabolic reflector antenna, neither of these approaches is so

attractive. The use of symmetry can reduce the problem, but still the complete electromagnetic analysis of one quadrant or onesextant of the array is required. FPAs of the order of 100 dual-polarized elements are being considered for next-generation

radio telescopes, so an initial goal is the analysis of an array of the order of 20 dual-polarized elements. The aim of this work is

to show the capability of CST MICROWAVE STUDIO (CST MWS), to perform a complete analysis and optimization of a 19-

element FPA. The eventual aim is to use this approach for the practical design of a wideband radio telescope FPA. The array

elements chosen here are dual-polarized four-square dipoles used to feed a 13.7m paraboloid with a f / D ratio of 0.41,

operating in the frequency band of 1.4 to 1.7 GHz. The array excitations are obtained by sampling and phase conjugation of

the focal field calculated by physical optics.

Figure 1: A Single dual-polarized four-square dipoles

SINGLE ELEMENT: As a first step, a single element of the array has been build to optimize the position of the probe feed. The

entire geometry setup as been parameterized in order to allow optimization and frequency scaling. The single elements have

been excited by using a multi-pin waveguide port as shown in Figure 2. These ports allow the definition of arbitrary differential

and common current sets and use the eigenmodes of the coax feeds as excitations.


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Figure 2: Feeding setup of a single Element

Figure 3 depicts the return loss of a single element as a function the feeding position calculated by the time domain solver of

CST MWS. Based on this parameter study, a distance of 6 mm between corner of the dipole elements and the probe has been

chosen.

Figure 3: Return loss of a single element as a function the feeding position

Array of 19 elements: The entire array consist of 19 dual-polarized dipole elements. In this simulation the amplitude and phase

for each element was calculated using a physical optics approach. To determine the far field pattern of the array CST

MICROWAVE STUDIO allows the simultaneous excitation of all 38 Ports with a user defined amplitude and phase. To


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determine the correct resulting far field pattern at 1.4 and 1.7 GHz, only two calculations are required. Alternatively each port

might be calculated separately. This would allow the combination of arbitrary port amplitudes and phases in a post processing

step. In order to reduce the calculation time for structure with many ports, CST MWS built-in network capabilities might be

used. If network computing is selected the simulation task can be distributed in a computer network and each port simulation

might run on a different computer. The entire array was discretized with about 5 million mesh nodes. The program

automatically adds a 4-Layer PML as radiating boundary condition. The peak memory usage for the solver process was

roughly 775 MByte. This included the memory overhead for the program itself as well as for the defined far field monitors. The

calculation time for the simultaneous excitation of all ports is about 5h on a 3 GHz Intel XEON double processor computer.

Figure 4: Array of 19 dual-polarized dipole elements

Figure 5: Radiation Pattern at 1.4 GHz


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Figure 6: Radiation Pattern 1.7 GHz

Figure 5 and 6 show the farfield pattern of the array at 1.4 and 1.7 GHz if the previously calulated excitation pattern is used.

The pattern is subsequently used as input for a physical optics program to calculated the farfield pattern for the entire dish.

The result of this calculation can be seen in figure 7.


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Figure 7: Resulting farfield pattern for the reflector dish

The article shows that CST MWS is perfectly suited to handle electrical large structures like FPAs. In this example, only 19

neighbouring elements have been calculated. The memory usage for this simulation was less then 1 GByte. One main

advantage of the time domain solver of CST MWS is that the resource requirement only scales linear with the numbers of

mesh nodes and therefore the problem size). This demonstrates that it is even possible to handle to complete array with more

the 100 radiating elements in CST MWS.

[1] Frank Demming-Janssen, John S. Kot and Christophe Granet (CSIRO ICT Centre), "Analysis of high efficiency reflector

feed array using a general-purpose software package", Ninth Australian Symposium on Antennas, Sydney 16-17 February

2005

[2] Buxton, C.G., Design of a Broadband Array Using the Four square Radiating Element

Analysis of a High Efficiency Reflector Feed Array

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