Antenna PCB
You ask
Does the trace antenna resonate at 2.4 GHz, and what is its S11 and gain?
Wobbl runs
$ wobbl simulate ifa.kicad_pcb "Does the trace antenna resonate at 2.4 GHz, and what is its S11 and gain?" \ --physics antenna --set frequency=2.4GHz
Frequency 2,400 MHz of 2,400 MHz
S11
-7.19 dB
FAILS
Power taken in 80.9 %, peak gain 1.92 dBi
Passes the -10 dB limit at 2,860 MHz
Checks, numbers and charts
FAILSThe antenna resonates at 2640 MHz (+10.0% from 2400 MHz), with 37.5 - j40.1 ohm and S11 of -7.2 dB against 50 ohm at 2400 MHz. Peak gain 1.92 dBi toward theta 32 and phi 75 degrees.
- Resonance
- 2,640 MHz
- S11
- -7.2 dB
- Impedance
- 37.5 - j40.1 ohm
- Confidence
- medium
- passpower balance
- inforun time
FAILS. The antenna resonates at 2640 MHz (+10.0% from 2400 MHz), with 37.5 - j40.1 ohm and S11 of -7.2 dB against 50 ohm at 2400 MHz. Peak gain 1.92 dBi toward theta 32 and phi 75 degrees. Confidence: medium. a fast run skips the finer mesh and the farther boundary, so the discretization error is not measuredresonance: 2640 MHzS11: -7.2 dBimpedance: 37.5 - j40.1 ohmgain: 1.92 dBimesh: 72624 unknowns Checks: [pass] power balance: the power flowing out through a sphere around the antenna matches the power fed in less the dielectric loss to 1.3% or better at all 8 frequencies (worst at 1800 MHz, 11.9 W out against 11.2 W for 1 A at the port), and the far field carries 16 W at 2400 MHz (5.3% apart) [info] run time: predicted 10 min from the 11,053 node mesh before any solve, took 5 min for 8 frequencies. It gave up 2 fewer frequencies in the sweep; a coarser mesh (the 'fast' quality); no verification solves on finer or larger meshes to fit the 15 min budget Assumptions: - Fed by a lumped port, a 0.5 mm wide strip across the 0.6 mm gap from (-9, 3.6, 1.583) to (-9, 3, 1.583) mm carrying 1 A. The impedance is the voltage across the gap over that current, so it holds the gap's capacitance and the strip's inductance. - Metals and copper sheets are perfect conductors, so conductor loss is left out. Dielectric loss comes from each material's loss tangent. - Free space around the antenna, closed by a sphere of 108 mm radius that absorbs outgoing waves (a second order boundary condition). The far field comes from the fields on a sphere of 66.7 mm. - First order edge elements no larger than a tenth of the shortest wavelength in air, one mesh for the whole sweep with 72624 unknowns. - 'board' is board laminate, relative permittivity 4.4, loss tangent 0.02. - Solved in 3D. The antenna is the geometry in ifa.kicad_pcb, which no closed form describes. - The antenna is net ANT. Ground is GND. - The board is a slab of relative permittivity 4.4 and loss tangent 0.02, 1.6 mm thick (kicad stackup). - Vias are not modeled and copper is a perfect conductor of zero thickness. Suggested fixes: - Scale the resonant length by 1.100: Make the part that sets the resonance 10.0% longer, since resonance scales inversely with length. Images: s11: images/s11.png, impedance: images/impedance.png, pattern: images/pattern.png, field: images/field.pngReport: report.htmlRun it yourself
$ git clone https://github.com/sohan-bhat/wobbl$ cd wobbl/examples/antenna-pcb && ./run.shThe part, the script and every output are in examples/antenna-pcb on GitHub.