Submitted:
26 December 2024
Posted:
26 December 2024
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Abstract
Keywords:
1. Introduction
2. Antenna Design
- Reverse Design Strategy: unlike conventional approaches that prioritize impedance matching, this work adopts a reverse design strategy, starting with radiated field optimization. In our case, the primary design goal is to achieve, for the single antenna of array, a -5 dB edge taper at a 140° angle in either the E-Plane or H-Plane across the full 3–7.7 GHz frequency band. To meet this requirement, both the single unit cell and the finite array model are used. Specifically, only one element of the finite array is fed during the simulation to analyze and optimize the radiated field performance.
- Unit cell ARC optimization: thanks to periodic boundary conditions, this approach assumes an infinite array which provides a reliable approximation for large arrays, such as the 8x8 configuration considered in this work. The active reflection coefficient (ARC) and the active element radiation pattern are computed for the antenna within this infinite array model [22]. For relatively large arrays, where edge elements have minimal influence on the overall performance, this method effectively represents the array behavior with a limited computational cost [23]. In phased array feed (PAF) designs for radio astronomy applications, the optimization process focuses specifically on the scanning angle relative to the broadside direction as a function of the frequency [6, 7, 24, 25]. This ensures that the antenna element delivers optimal impedance matching and minimal signal reflections across the desired operational bandwidth.
- Finite array and pattern analysis: once an acceptable ARC is achieved, the finite array is analyzed. In this step, edge elements are evaluated and, if necessary, adjusted so their impedance closely resembles that of the infinite array. This step also involves examining the array radiated field patterns, beamwidth, side lobe levels, and edge taper.
2.1. Single Antenna Design
- Taper Length (Lt): The taper length directly affects the bandwidth of the antenna. A longer taper length allows the electromagnetic field to transition more gradually from the feed to the radiating end, resulting in improved directivity and a broader operational frequency range [32];
- Opening angle α: The opening angle determines the antenna shape and aperture, influencing its radiation pattern. Typical values for the opening angle range from 5° to 12° [32]. The taper shape is mathematically described by the linear equation:
- Taper Width (Wt): the taper width, measured at the open end of the antenna, is typically designed using the formula:where fmin is the lowest frequency in the antenna operational range. The taper width, along with the opening angle, determines the effective radiating aperture of the antenna.
- Opening angle α: The feed slot width is critical for achieving optimal impedance matching between the feed line and the radiating aperture. Proper tuning of this parameter minimizes reflection losses, enhances energy transfer efficiency, and improves the overall performance of the antenna.
2.2. Infinite Array Approximation
2.3. Unit Cell Characteristics and Intial Settings
- Element Spacing Wp= λmin/2 = 19.48 mm: where λmin is the wavelength corresponding to the highest frequency (7.7 GHz). This spacing adheres to the Nyquist sampling criterion, ensuring the prevention of grating lobes in the array radiation pattern across the wide frequency range. By maintaining the selected value of Wp throughout the unit cell optimization process, the risk of grating lobes across the frequency range is effectively minimized, which is essential for preserving the array performance at higher.
- Taper Length Lt= λmax/2 = 50 mm, where λmax corresponds to the wavelength at the lowest frequency (3 GHz). Unlike Wp, Lt is subject to optimization to meet specific edge taper and bandwidth requirements. Adjustments to Lt, and consequently the opening angle α, play a significant role in shaping the radiation beam characteristics to achieve a consistent and desirable edge taper across the entire operational bandwidth.
- Horizontal Polarization: one LTSA in each unit cell is oriented to radiate in the horizontal plane, efficiently capturing signals aligned with this polarization.
- Vertical Polarization: The second LTSA is aligned to radiate in the vertical plane, enhancing the unit cell dual-polarization capability.
2.3. PAF Antenna Design
- Operational bandwidth: The proposed design boasts the broadest operational bandwidth, surpassing conventional designs such as [6,25]. This makes it particularly suitable for applications requiring high-frequency agility, such as radio astronomy. The extended bandwidth also facilitates use across multiple sub-bands, covering a range from 2.53 to 9 GHz.
- Compactness and resolution: The proposed antenna strikes an excellent balance between compactness and resolution, featuring a moderate array size of 144 elements. This provides adequate resolution while maintaining manageable system complexity. By contrast, [6] achieves higher resolution with 320 elements but at the expense of increased size and processing demands.
- Design innovation: The use of LTSA elements optimizes the antenna for broadband performance, offering a distinct advantage over the more common ETSA elements used in other designs. While Bowtie elements in [39] offer compactness, they are less effective for wideband applications.
3. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Abbreviations
| PAF | Phased Array Feed |
| SRT | Sardinia Radio Telescope |
| FoV | Field of View |
| INAF | Italian National Institute for Astrophysics |
| OAC | Astronomical Observatory of Cagliari |
| CED | Data Elaboration Center |
| ARC | Active Reflection Coefficient |
| TSA | Tapered Slot Antenna |
| ETSA | Exponential Tapered Slot Antenna |
| LTSA | Linear Tapered Slot Antenna |
| EM | Electromagnetic |
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| Reference | Frequency band [GHz] | Single element | Single element pitch [mm] | Single element length [mm] | Arrayelements |
|---|---|---|---|---|---|
| This work | 3-7.7 | LTSA | 19.48 | 87 | 144 |
| [10] | 4-8 | ETSA | 21 | 77 | 220 |
| [6] | 3-6 | ETSA | 50 | 116 | 320 |
| [7] | 2.8-5.18 | ETSA | 28.8 | 53.6 | 140 |
| [25] | 2.5-4 | ETSA | 37 | 125 | 40 |
| [39] | 4-8 | Bowtie | 25 | 18.75 | 24 |
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