S4-2.4 Microstrip Antennas, Reflectors & Measurements

Standard antennas and propagation theory — written August 2026

What this is and why it exists

This unit is where antenna theory meets the hardware in your pocket and on the roof. The microstrip patch is the antenna actually inside phones, drones and IoT boards — printable on a circuit board for nearly nothing. The paraboloidal reflector is the opposite end of the size scale, the dish that makes satellite links possible. And measurement closes the loop: simulated patterns and real patterns disagree, and knowing how gain is actually measured keeps your datasheets honest.

The vocabulary

  • Microstrip patch — a rectangular conductor over a ground plane, separated by dielectric substrate; radiation comes from the fringing fields at two edges.
  • Fringing fields — the field spill at the patch edges; the patch radiates as two slots half a wavelength apart, in phase.
  • Paraboloidal reflector — a dish that converts a feed's spherical wave into a plane wave; gain grows with the square of diameter-over-wavelength.
  • Smart antenna — an array plus signal processing that shapes beams adaptively: toward the user, with nulls toward interferers.
  • Anechoic chamber — a room lined with absorber so pattern measurements see only the direct path.
  • Gain-comparison method — measuring gain by substituting a calibrated standard antenna and comparing received powers.

The mental model

The patch is a leaky resonant box. The conductor over its ground plane forms a cavity that resonates when the patch length is about half a wavelength in the substrate; the fields that fringe out at the two open edges are the leak, and the leak is the antenna. Two slots, half a wavelength apart, radiating in phase — a tiny two-element broadside array firing upward off the board. Everything about patch behaviour follows from the resonant-box picture: narrow bandwidth (a resonator's nature), modest gain, one-sided radiation, and a design recipe that is genuinely mechanical. Width from the substrate and frequency; effective dielectric constant; length as half a wavelength in that medium, shortened a little because the fringing fields make the patch electrically longer than its metal. Run the recipe once end-to-end with real numbers — 2.4 gigahertz on common FR-4 substrate gives a patch about 29 millimetres wide — and patch design stops being mysterious.

The paraboloid is geometry doing the work: every ray from the focus reflects parallel to the axis, and every path from focus to an imaginary plane in front is equal in length — so the aperture is illuminated in phase. The bigger the dish in wavelengths, the sharper the beam, with the standard efficiency factor near 55 to 65 percent accounting for feed spillover and imperfect illumination. Where the patch gives you compactness, the dish gives you the enormous gains a satellite link needs.

Smart antennas put the previous unit's arrays to work adaptively — switched beams at the crude end, fully adaptive arrays that steer gain toward a user and place pattern nulls on interferers at the refined end. And measurement is where all of it faces reality: in an anechoic chamber, rotate the antenna under test and record received power versus angle for the pattern; for gain, swap in a calibrated standard antenna and compare — the gain-comparison method that underlies most datasheet numbers.

What you should now be able to explain or do

Explain patch radiation via fringing fields and the two-slot picture. Walk the rectangular patch design recipe with numbers for a stated frequency and substrate. State why patch bandwidth is narrow and name the accepted trade. Explain what a paraboloid's geometry achieves and how its gain scales. Describe pattern and gain measurement in a sentence each.

Check yourself

The fringing fields at its two open edges — the patch behaves as two in-phase slots half a wavelength apart, a small broadside pair firing away from the ground plane.

The fringing fields extend the patch electrically beyond its metal edges, so the metal must be trimmed for the electrical length to resonate at the design frequency.

Narrow bandwidth and modest gain — accepted because the patch is flat, rugged and printable on a circuit board at almost no cost, which is what mass-produced devices need.

Its geometry converts the feed's spherical wave into an in-phase plane wave across a large aperture; gain scales with the square of diameter-over-wavelength times an illumination efficiency near 55 to 65 percent.

By comparison: measure received power with the antenna under test, substitute a calibrated standard antenna, and the ratio plus the standard's known gain gives the result.

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