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Modeling and design of lenses combined with array antennas in the millimetre-wave regime
KTH, School of Electrical Engineering and Computer Science (EECS), Electrical Engineering, Electromagnetic Engineering and Fusion Science.ORCID iD: 0000-0003-2095-121x
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis investigates the combination of array antennas with lenses to simplify the feeding networks of planar arrays in the millimeter-wave regime. Two different strategies are proposed: linear arrays of vertically stacked lenses based on parallel plate waveguide (PPW) and planar array antennas with dielectric lenses placed on top. 

Due to their large electrical size, these antennas require efficient tools to design and simulate them. In this thesis, the farfield radiation pattern is calculated using two ray tracing models that use physical optics. Both models follow three steps: calculation of ray trajectories, calculation of amplitude distribution using the ray tube theory and evaluation of farfield radiation pattern. Furthermore, these models can also calculate the radiation efficiency. For PPW-based lenses, the efficiency decreases due to the conductivity and surface roughness of the metallic plates, whereas, for dielectric lenses, the efficiency decreases due to the material absorption and reflections. 

Three PPW-based lens array antennas are presented in this thesis. First, the scanning in two planes is tested using a water drop lens array antenna and a feeding network based on a power divider and phase shifters. The antenna is manufactured in different pieces using milling. Then, a monolithic geodesic lens array antenna is designed and manufactured using additive manufacturing, which prevents leakage and misalignment between pieces. The profile of the geodesic lens requires some modifications to adapt to the manufacturing technique. Finally, a multiple-ridge lens antenna is proposed to further reduce the height profile of these antennas. Two different ridges are proposed (rectangular and trapezoidal), which are suitable for milling and additive manufacturing. This type of lens antennas can also be vertically stacked to form a linear array. 

The combination of phased array antennas and dielectric lenses is of interest in the terrestrial and satellite communications industry. Dielectric lenses can increase the gain of the array in different scanning angles or redirect grating lobes. This can help to reduce the complexity and power consumption of array feeding networks. The two designed multilayer dielectric lenses show that using other curves to define the dielectric layers provide more degrees of freedom. This together with a customized design of the lens for the specific goal helps to achieve results close to the physical limits of the lens.

Abstract [sv]

Denna avhandling undersöker hur linser kan kombineras med gruppantenner för att förenkla plana gruppantenners matningsnät vid millimetervågsfrekvenser. Två olika strategier föreslås: linjära gruppantenner bestående av vertikalt staplade geodesiska linsantenner baserade på planvågledare (PPW) och plana gruppantenner med dielektriska linser placerade ovanpå.

På grund av antennernas betydande elektriska storlek krävs effektiva verktyg för att designa och simulera dem. Här beräknas fjärrfältets strålningsdiagram med två strålföljningmodeller som använder fysiskalisk optik. Dessa modeller följer tre steg: beräkning av strålbanor medelst geometrisk optik, beräkning av amplitudfördelning genom att kräva att energin bevara längs strålarna och slutligen utvärdering av fjärrfältets strålningsdiagram från strålbanorna och amplitudfördelningen. Vidare kan dessa modeller också beräkna antennens verkningsgrad. För de PPW-baserade linserna minskar verkningsgraden på grund av metallers begränsade ledningsförmåga och ytojämnheter i de metalliska plattorna, medan verkningsgraden för dielektriska linser minskar på grund av materialets absorption och reflektioner.

Tre PPW-baserade linsgruppantenner presenteras i denna avhandling. Först presenteras strålstyrning  i två plan i en gruppantenn av vertikalt staplade PPW-linser och ett matningsnät baserat på effektfördelare och fasvridare. Antennen tillverkas i olika delar med fräsning. Därefter designas och tillverkas en monolitisk gruppantenn med hjälp av additiv tillverkning, vilket förhindrar läckage och fellinjerning mellan olika delar. Profilen för den geodesiska linsen kräver vissa modifieringar för att anpassas till tillverkningstekniken. Slutligen föreslås en åsad linsantenn för att minska höjden av PPW-linsanten. Två olika åsar föreslås (rektangulära och trapetsformade), som är lämpliga för fräsning respektive additiv tillverkning. Denna typ av linsantenner kan staplas vertikalt för att bilda en linjär gruppanten.

Kombinationen av fasstyrda gruppantenner och dielektriska linser är av intresse för mobil- och satellitkommunikation. Dielektriska linser kan öka gruppantenners förstärkning vid olika styrvinklar eller styra gallerlober. Detta kan bidra till att minska komplexiteten och strömförbrukningen hos matningsnäten för dessa gruppantenner. De två designade dielektriska linserna visar att användandet av olika profiler för de dielektriska lagren i linsen ger fler frihetsgrader. Detta, tillsammans med en anpassad design av linsen för specifika mål, bidrar till att de uppnådda resultaten ligger nära linsens fysikaliska gränser.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2025. , p. iii, 50
Series
TRITA-EECS-AVL ; 2025:15
Keywords [en]
Array antennas, dielectric lenses, geodesic lenses, physical optics
National Category
Telecommunications
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-359821ISBN: 978-91-8106-178-9 (print)OAI: oai:DiVA.org:kth-359821DiVA, id: diva2:1937149
Public defence
2025-03-14, https://kth-se.zoom.us/w/68384894801, F3, Lindstedtsvägen 26, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20250212

Available from: 2025-02-12 Created: 2025-02-12 Last updated: 2025-02-13Bibliographically approved
List of papers
1. Evaluation of Losses in 3-D-Printed Geodesic Lenses Using a Ray-Tracing Model
Open this publication in new window or tab >>Evaluation of Losses in 3-D-Printed Geodesic Lenses Using a Ray-Tracing Model
Show others...
2024 (English)In: IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, E-ISSN 1558-2221, Vol. 72, no 1, p. 234-242Article in journal (Refereed) Published
Abstract [en]

This article applies an in-house generalized ray-tracing (RT) model to efficiently compute both the radiation pattern and the efficiency of geodesic lenses with nonrotationally symmetric shapes. Losses due to ohmic effects and surface roughness are included in the model. These losses are very relevant for monolithic geodesic lens antennas as postprocessing techniques cannot be applied to reduce the surface roughness of internal part of the metallic plates. The model is validated by comparison with full-wave simulations for three different lenses: a circular flat parallel-plate waveguide (PPW), an elliptically compressed geodesic lens, and a water-drop lens. These results show a reduction in computational time by a factor of 600 using the RT model. A non-rotationally symmetric water drop lens has been manufactured in a monolithic piece using the laser powder-bed fusion (LPBF) technique with successful experimental results.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2024
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-359819 (URN)10.1109/tap.2023.3319156 (DOI)001203470400029 ()2-s2.0-85174858462 (Scopus ID)
Note

QC 20250212

Available from: 2025-02-12 Created: 2025-02-12 Last updated: 2025-02-12Bibliographically approved
2. Physical Optics Applied to Parallel-Plate Lens Antennas
Open this publication in new window or tab >>Physical Optics Applied to Parallel-Plate Lens Antennas
2024 (English)In: IEEE Open Journal of Antennas and Propagation, E-ISSN 2637-6431, Vol. 5, no 4, p. 833-844Article in journal (Refereed) Published
Abstract [en]

The Physical Optics (PO) method is used to derive simplified expressions to compute the radiation electric fields of planar graded-index and geodesic lenses based on a parallel-plate waveguide (PPW) implementation. If the PO method is combined with ray-tracing (RT) techniques, the resulting RT-PO procedure is capable of computing radiation patterns and gain of the PPW-based lens antennas when their apertures have a general shape and the electric field is vertically polarized. The RT-PO method is validated by comparing it with the full-wave simulation results of the commercial software ANSYS HFSS for three application cases. The results show that the RT-PO approach is not only very efficient from a computational point of view but also accurate, thus being a very convenient analysis/design tool for this kind of antenna.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2024
Keywords
Antennas, Aperture antennas, Aperture antennas, Electric fields, Lenses, Lenses, Numerical simulation, Optical waveguides, Parallel plate waveguides, Physical optics, Physical Optics, Ray tracing, Ray Tracing
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-350298 (URN)10.1109/OJAP.2023.3347347 (DOI)001288291400028 ()2-s2.0-85181566681 (Scopus ID)
Note

QC 20240711

Available from: 2024-07-11 Created: 2024-07-11 Last updated: 2025-02-12Bibliographically approved
3. Two-Dimensional Beam Steering Using a Stacked Modulated Geodesic Luneburg Lens Array Antenna for 5G and Beyond
Open this publication in new window or tab >>Two-Dimensional Beam Steering Using a Stacked Modulated Geodesic Luneburg Lens Array Antenna for 5G and Beyond
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2023 (English)In: IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, E-ISSN 1558-2221, Vol. 71, no 1, p. 487-496Article in journal (Refereed) Published
Abstract [en]

Antennas for future communication systems are required to be highly directive and steerable to compensate for the high path loss in the millimeter-wave band. In this work, we propose a linear array of modulated geodesic Luneburg lens (the so-called water drop lens) antennas operating at 56-62 GHz. The lens array antenna features 2-D beam scanning with low structural complexity. The lenses are fully metallic and implemented in parallel plate waveguides (PPWs), meaning that they are highly efficient. Each lens is fed with 13 rectangular waveguides surrounded by glide-symmetric holes to suppress leakage. The lenses provide 110? beam coverage in the H-plane with scan losses below 1 dB. In order to scan in the E-plane, we use a feeding network based on a 1:4 power divider and three phase shifters. In this configuration, the array can scan 60? in the E-plane, albeit with higher scanning losses than in the H-plane. The lens array is manufactured and a good agreement between simulated and experimental results is obtained.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2023
Keywords
Lenses, Antenna arrays, Antennas, Surface impedance, Impedance, Refractive index, Antenna feeds, Geodesic lens, lens antenna, linear array, Lune-burg lens, multibeam antennas
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-324795 (URN)10.1109/TAP.2022.3217175 (DOI)000923067100047 ()2-s2.0-85141641802 (Scopus ID)
Note

QC 20230510

Available from: 2023-03-16 Created: 2023-03-16 Last updated: 2025-02-12Bibliographically approved
4. V-Band Monolithic Additive-Manufactured Geodesic Lens Array Antenna
Open this publication in new window or tab >>V-Band Monolithic Additive-Manufactured Geodesic Lens Array Antenna
2023 (English)In: IEEE Antennas and Wireless Propagation Letters, ISSN 1536-1225, E-ISSN 1548-5757, Vol. 22, no 10, p. 2527-2531Article in journal (Refereed) Published
Abstract [en]

Fully metallic geodesic lens antennas are popular for millimeter-wave band applications due to their simplicity, robustness, and low loss. Here, we report the experimental results of a geodesic lens array antenna, which was specifically designed to be additive-manufactured in one single piece using laser powder-bed fusion (LPBF). LPBF in aluminum alloy AlSi10Mg is able to produce high conductivity and relatively low surface roughness, so the antenna is highly directive and efficient. In addition, LPBF increases the robustness of the design since the lens array is monolithic, i.e., the risks associated with the assembly, including misalignments and undesired air gaps between pieces, are totally eliminated.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2023
Keywords
Additive manufacturing (AM), array antenna, geodesic lenses, laser powder-bed fusion (LPBF), lens antenna
National Category
Manufacturing, Surface and Joining Technology
Identifiers
urn:nbn:se:kth:diva-339811 (URN)10.1109/LAWP.2023.3294541 (DOI)001085445800040 ()2-s2.0-85164732102 (Scopus ID)
Note

QC 20231121

Available from: 2023-11-21 Created: 2023-11-21 Last updated: 2025-02-12Bibliographically approved
5. Low-Profile Fully Metallic Multiple-Ridge Luneburg Lens Antenna
Open this publication in new window or tab >>Low-Profile Fully Metallic Multiple-Ridge Luneburg Lens Antenna
2024 (English)In: IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, E-ISSN 1558-2221, Vol. 72, no 6, p. 4852-4861Article in journal (Refereed) Published
Abstract [en]

The geodesic Luneburg lens has been revisited as a suitable solution for applications requiring directive beams in the millimeter waveband. Among its advantages, its rotational symmetry and high efficiency stand out. However, one of its drawbacks is the need for a certain height to produce the desired focusing properties of the lens. Here, we propose a low-profile solution based on rotationally symmetric ridges that mimic, similar to geodesic lenses, the effective refractive index of a Luneburg lens. Moreover, we show that both rectangular and trapezoidal ridges perform similarly, opening the possibility for other manufacturing techniques. We demonstrate this concept with a prototype that is fully metallic and provides a scanning range of +/- 62 degrees over a broadband of operation, from 24 to 34 GHz. In this prototype, the height of the lens is 18 times more compact than the original Rinehart-Luneburg lens, allowing the lens to be vertically stacked, which is beneficial, for example, for producing linear arrays. This technique could be used to produce other type of lenses.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2024
Keywords
Lenses, Focusing, Antennas, Surface waves, Optical surface waves, Reflection, Manufacturing, Beam scanning, fully metallic, low profile, Luneburg lens antenna, millimeter wave (mm-wave)
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-350473 (URN)10.1109/TAP.2024.3397661 (DOI)001242371700015 ()2-s2.0-85193263752 (Scopus ID)
Note

QC 20240715

Available from: 2024-07-15 Created: 2024-07-15 Last updated: 2025-02-12Bibliographically approved
6. Lenses Combined with Array Antennas for the Next Generation of Terrestrial and Satellite Communication Systems
Open this publication in new window or tab >>Lenses Combined with Array Antennas for the Next Generation of Terrestrial and Satellite Communication Systems
2024 (English)In: IEEE Communications Magazine, ISSN 0163-6804, E-ISSN 1558-1896, Vol. 62, no 9, p. 176-182Article in journal (Refereed) Published
Abstract [en]

The current worldwide energy and economical crisis has triggered the need for more sustainable technological solutions to implement energy-efficient next generation communication systems, which should also be commercially viable and cost-effective. Moreover, future terrestrial and satellite communications will bring a wide range of use cases, services, and environments with very different requirements and specifications to ful-fill in order to generate a smart digital, fully connected society. Designing new antennas for each single application is not feasible since it is very complex to meet the customer's demand in the short run, and antenna system solutions that are easily re-configurable to be re-used in diverse scenarios are needed. The combination of lenses with traditional phased array antennas (also known as dome antennas) is a promising way of mixing the advantages of both antenna technologies and optimizing the performance of our systems depending on the use case scenario. This article discusses the industrial and technical potential of using dome antennas implemented in different technologies for expected use cases and applications of future terrestrial and satellite communication systems.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2024
Keywords
Antennas, Antenna arrays, Phased arrays, Satellite antennas, Dielectrics, 6G mobile communication, Sustainable development, Communication systems, Satellite communications, Energy efficiency
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-354392 (URN)10.1109/MCOM.024.2300370 (DOI)001315180100004 ()2-s2.0-85174815730 (Scopus ID)
Note

QC 20241004

Available from: 2024-10-04 Created: 2024-10-04 Last updated: 2025-02-12Bibliographically approved
7. Improving the Scanning Coverage of Array Antennas With Multilayer Lenses Designed With a Ray Tracing
Open this publication in new window or tab >>Improving the Scanning Coverage of Array Antennas With Multilayer Lenses Designed With a Ray Tracing
Show others...
2024 (English)In: IEEE Antennas and Wireless Propagation Letters, ISSN 1536-1225, E-ISSN 1548-5757, p. 1-5Article in journal (Refereed) Epub ahead of print
Abstract [en]

Integrating dielectric lenses with phased array antennas can be beneficial in numerous applications, yet the design procedure typically requires significant computational effort. In this work, we employ a streamlined in-house two-dimensional ray-tracing model to design dielectric lenses, with the goal of enhancing the gain of an array antenna at large scanning angles. The ray-tracing model also accounts for losses from material absorption and reflections. The interfaces between the dielectric layers of these lenses devised in this study are defined using splines to allow a large flexibility of their shape. First, dielectric lenses consisting of a core layer supplemented by two matching layers are investigated. The results show better performance compared to the lens constructed using the conic equation. In addition, multilayer dielectric lenses also provide more flexibility, as proved by the proposed configuration with five layers which also minimizes reflections in the optimized direction. Finally, a nonuniform multilayer lens, featuring two layers on the sides and a single layer near to broadside can improve gain at 60∘ while maintaining efficiency at smaller angles.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2024
National Category
Electrical Engineering, Electronic Engineering, Information Engineering Communication Systems
Identifiers
urn:nbn:se:kth:diva-359820 (URN)10.1109/lawp.2024.3507178 (DOI)001438199900038 ()2-s2.0-86000736124 (Scopus ID)
Note

QC 20250212

Available from: 2025-02-12 Created: 2025-02-12 Last updated: 2025-03-24Bibliographically approved

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