Electromagnetic simulation · Antennas · Radar

Electromagnetic simulation: antennas, propagation and radar

An electromagnetic simulation shows how a wave travels through a structure, whether an antenna, an apartment or a car bumper, before that structure is built or measured. Most models on this page were built in COMSOL Multiphysics. In published work I have also used CST Studio Suite . I process and analyse the results in MATLAB and Python and, where possible, compare them with measurements in the lab's anechoic chamber.

Learning COMSOL

COMSOL beginner guide in Hebrew: a free 52-page PDF with screenshots, five solved models, Java sources and CSV data. The practical examples cover heat transfer, electrostatics, a magnetic current loop and Joule heating.

Wi-Fi in an apartment with a safe room

Wi-Fi wavefronts at 2.44 GHz, safe-room door open. COMSOL simulation.
COMSOL mesh at the safe-room corner, with tight rings of elements around each rebar.
Mesh at the safe-room corner, refined around the rebar.

A 2D model of a 10 m × 8 m apartment with a reinforced-concrete safe room, a steel blast door and a steel shutter, with building materials from ITU-R P.2040-4. The field is solved twice, with the safe-room door open and closed.

  • Safe-room average 12 dB below the living room, door open
  • 32 dB below, door closed
  • 3.6 million degrees of freedom per door state

Wi-Fi in a safe room: full case →

Horn antenna with a focusing lens at 10 GHz

Top, the horn alone; bottom, with the PTFE lens. Animation built from COMSOL field data.
COMSOL 3D render of the horn with its lens in front of the electric-field plane, showing the converging wave.
COMSOL 3D render: horn and lens in front of the field plane.
The prototype: a yellow 3D-printed conical horn with a white PTFE lens on its aperture, on a metal mount.
The printed prototype with its PTFE lens. From: A. Michael, N. Balal, Electronics 14, 3191 (2025), CC BY 4.0

A 3D-printed conical horn with a biconvex PTFE lens, from work published in Electronics in 2025. The lens turns the diverging wavefront of the horn into a converging one and concentrates the power in a small spot in front of the antenna.

Design, measurements and publication →

Antipodal Vivaldi ultra-wideband antenna

3D realized-gain pattern, one frame per GHz from 3 to 11 GHz. COMSOL simulation.
COMSOL 3D view of the antenna board: top copper in orange, bottom copper in blue and the feed port in red at the board edge.
The board in COMSOL: top and bottom copper and the feed port.

An antenna on a 60 × 70 mm Rogers RO4003C board, designed for a 3 GHz lower-frequency target. The 3D model includes the feed port, PML and a far-field calculation.

In simulation:

  • |S11| ≤ −10 dB from about 3.6 GHz to the end of the 12 GHz sweep, with a narrow region near 5 GHz where it rises to about −9 dB
  • Boresight realized gain 8.3 to 9.1 dBi between 6 and 11 GHz

Geometry and full results →

77 GHz automotive radar behind a bumper

Left, the array field through the panel; right, transmitted and reflected power against thickness. COMSOL simulation.
COMSOL geometry: an array of 8 line sources in front of a ground plane, the bumper panel facing it and PML around the domain.
COMSOL geometry: array, ground plane, bumper panel and PML.

An 8-element array radiates through a polypropylene-blend bumper panel whose thickness sweeps from 1 to 4 mm. When the thickness is a multiple of half a wavelength in the plastic, the reflection from the panel drops close to zero. At other thicknesses part of the power returns to the radar. The model is 2D.

  • Transmission peaks at 1.16, 2.32 and 3.48 mm
  • Up to 22% of the power reflected at mismatched thickness (normal incidence)
  • On the 3.48 mm panel a metallic-flake basecoat raises the reflection to about 40%; at 1.98 mm the painted panel loses 0.87 dB

Model, materials and validation →

Quadcopter micro-Doppler at 94 GHz

Left, the four rotors slowed 240 times. Right, the spectrogram, where each blade crossing produces a vertical flash.

A simulation of the 94 GHz CW radar return from a four-rotor drone. Each blade is a line of point scatterers, and the model is written in Python. Each time a blade crosses perpendicular to the radar line of sight, the spectrogram shows a vertical flash whose height is set by the blade-tip Doppler frequency.

Micro-Doppler and millimeter-wave radar →

More simulations on this site

Plane-wave scattering from a target in a COMSOL model, used to compute radar cross-section.

Radar cross-section (RCS)

Plane-wave scattering from a target, COMSOL model

Helical orbit of an electron trapped between two coils in a magnetic mirror trap.

Magnetic mirror trap

An electron orbit between two magnetic lenses

3D cutaway of an X-band klystron in a COMSOL model, with the electron beam along the axis.

Klystron and traveling-wave tube

Microwave radiation sources: resonant cavities, beam bunching and slow waves, COMSOL models

Helical undulator and electron trajectory in a COMSOL model of an IFEL accelerator, with the energy-gain plot.

Compact IFEL accelerator

Electron acceleration in a helical undulator driven by a terahertz wave, COMSOL model

Applied magnetism

Magnetostatic COMSOL models of permanent-magnet undulators and magnetic field maps

← All research projects