University of Belgrade - School of Electrical Engineering




Research

 Magnetic Resonance Imaging

 

Design sketches of the helical-antenna RF coil: a quadrifilar (four-helix) traveling-wave antenna fed by four phase-shifted excitations (left), and the full computational model showing how the coil wraps around a patient-mimicking phantom inside a metallic MRI scanner bore (right).
Fabricated multi-channel helical-antenna coil prototypes mounted inside actual 7-Tesla and 10.5-Tesla MRI scanners at the University of Minnesota's Center for Magnetic Resonance Research, including close-ups of the custom impedance-matching plates that tune each helix.

Side-by-side comparison of measured and simulated magnetic field (B1) maps for the 4-channel coil, showing excellent agreement between two independent computational methods and real scanner measurements — validating the design before it's relied on for actual patient imaging.
Measured RF field uniformity maps across a saline phantom at ultra-high 10.5-Tesla field strength, demonstrating that the helical coil delivers consistent, usable signal across the imaging volume even at frequencies where standard coil designs struggle.

 Contactless Sensing for Orthopaedic Applications

 

Schematic of the Vivaldi antenna's tapered-slot geometry and its compact microstrip feed network. The exponential curve profile and feed design were engineered to keep the antenna small while maintaining broadband, sensitive performance — key requirements for an implantable diagnostic sensor.
A 3D electromagnetic simulation model of the Vivaldi antenna, showing a nearby metallic plate representing an orthopaedic implant component, plus a close-up of the antenna's compact feed mechanism. This model was used to predict how the antenna's resonant frequency shifts as the metal plate moves closer or farther away.

Photographs of the fabricated Vivaldi antenna prototype mounted in a benchtop test rig, shown aligned both parallel and perpendicular to a metal plate driven by a precision linear actuator. This setup recreates a clinically realistic implant-monitoring scenario to validate the antenna's sensing performance experimentally.
Measured resonant frequency shift and sensitivity as a function of plate-antenna distance, comparing standard versus miniaturized antenna designs in parallel and perpendicular orientations. The results demonstrate that the antenna can detect implant displacements as small as fractions of a millimeter, supporting its use as a precise, contactless orthopaedic diagnostic tool.

 Power Amplifiers

 

The basic Class-J amplifier circuit model, showing the transistor's current source, parasitic capacitance, and output matching network. This idealized schematic is the starting point for deriving closed-form efficiency equations that guide the amplifier's design.
A 2D efficiency map showing how drain efficiency varies with two voltage/current phase angles, with the ridge of near-80% efficiency highlighted in red. This plot is the core design tool: any point along the green line yields a desired predetermined efficiency, letting the designer trade off bandwidth and performance.

The transistor's simplified output equivalent circuit and the full fabricated amplifier layout, including the GaN HEMT die and matching network dimensions. This shows the path from theoretical model to a real, manufacturable RF circuit.
Simulated versus measured performance of the fabricated 1.5 GHz amplifier: S-parameters across frequency, and gain, output power, and drain efficiency versus input power. The close match between simulation and hardware measurements validates the predetermined-efficiency design method.

 Large-Domain Higher-Order Finite Element Modeling of Microwave Devices

 

Largde-domain higher-order computational approach can greatly reduce the number of unknowns for a given problem and enhance the accuracy and efficiency of the Finite Element  Method (FEM) analysis in all classes of applications. This approach utilizes higher-order basis functions defined in large geometrical elements. An air-filled rectangular cavity with a metallic ridge (on the left) is modeled with three hexahedral elements. The adopted field-approximation polynomial orders in individual directions are also  indicated.
Generalized curvilinear interpolatory hexahedra of arbitrary geometrical orders, adopted for the approximation of geometry, enable excellent curvature modeling (e.g., a spheroid on the right  is sufficiently accurately modeled by a single curved hexahedral finite element).

The technique provides a whole range of element shapes (e.g., brick-like, slab-like, and rod-like planar hexahedra, as well as spherically-shaped, cylindrically-shaped, and elliptically-shaped curved hexahedra, and also other "irregular" and/or curved hexahedral shapes) to be used in a simulation model as well. (A ten-element model of WR-62 waveguide with two crossed cylindrical posts is shown on the left.)
The hierarchical curl-conforming polynomial vector basis functions of arbitrary orders enable excellent field-distribution modeling (e.g., 10th-order polynomial field-approximation in the three parametric coordinates in a hexahedral finite element). This enables using as large as about 2l 2l 2l curved FEM hexahedra as building blocks for modeling of the electromagnetic structure (which is 20 times the traditional low-order modeling discretization limit of l/10 in each dimension). Calculated reflection coefficient for the model of the microwave structure shown above, with optimal orders of the polynomial field-approximation in different elements and in different directions in the range from 2 to 5, is given on the right.

Calculated reflection coefficient