
3D Electromagnetics, powered by Palace
The antenna_halfwave_dipole example is a driven radiating-antenna analysis of the canonical half-wave dipole. Palace excites the dipole at its feed gap and computes the input impedance, return loss, and far-field radiation pattern — the complete first-principles workflow for antenna design.
- Lumped feed excitation at the dipole gap drives the structure and yields the input impedance (≈ 73 Ω resistive for a resonant half-wave dipole)
- Absorbing far-field boundary — an absorbing/radiation boundary truncates free space so outgoing waves leave without reflecting, enabling accurate pattern and gain extraction
- Return loss and pattern — S₁₁ at the feed gives the match; the radiated far field gives the directivity, gain, and pattern shape
- Problem type: Driven (frequency domain), radiating structure in free space
- Geometry: half-wavelength dipole with a central feed gap
- Excitation: lumped feed port; conductor = PEC
- Boundary: absorbing / far-field radiation boundary around the domain
- Output: input impedance, S₁₁, far-field pattern, directivity/gain
The core transferable physics: an antenna converts guided power into radiated fields, and its performance is captured by two things — how well it is matched at its feed (impedance/return loss) and how it distributes radiated power in space (pattern/gain). Solving the driven problem with a radiation boundary yields both. The same workflow scales from a simple dipole to patches, monopoles, and complex arrays.
One driven solve gives both the feed match and the radiation pattern — the two numbers that decide whether an antenna works.
The absorbing far-field boundary emulates open space, so gain and pattern are physically meaningful, not distorted by an artificial box.
The dipole's ~73 Ω impedance and figure-eight pattern are textbook, making this a trusted baseline for the solver and workflow.
GPU-accelerated driven solves make length/feed sweeps to tune resonance and match a same-day study.
Select a domain to see how this simulation applies, with industry-specific scenarios and ROI.
Antenna design is fundamentally an impedance-matching and pattern-shaping problem. A poorly matched antenna reflects transmit power and loses receive sensitivity; a poorly shaped pattern points energy in the wrong direction. Both are set by geometry, feed, and surrounding structure.
Antenna teams that rely on build-and-measure cycles in an anechoic chamber burn $5K–$40K and days per prototype, and pattern/match issues often only surface after integration with the host device.
Driven full-wave simulation predicts impedance, return loss, and radiation pattern up front, collapsing the prototype loop.
| Application | How this simulation maps |
|---|---|
| Impedance / match design | Input impedance and S₁₁ tune the feed and length for match |
| Pattern / gain shaping | Far-field pattern sets directivity and coverage |
| Element for arrays | Validated element feeds array synthesis and beamforming |
Scenario: An antenna group develops 25 designs/year at 5 chamber-measured prototypes each. Simulation cuts prototypes to 2.
Fewer chamber sessions also free scarce anechoic-range time and shorten the antenna development schedule.
Model your antenna
Replace the dipole with your element, add the feed and radiation boundary, and run the driven solve for impedance and pattern.
Tune match and pattern
Sweep length, feed, and nearby structure to hit your return-loss and gain targets across the band.
Add the environment
Include the enclosure or platform to predict installed performance, then extend to arrays for beamforming.
Run this example on NumericalAI's cloud platform. No installation, no infrastructure management — just results.
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