Microstrip Patch Antenna Simulator: Design, Bandwidth & Radiation Pattern

simulator intermediate ~12 min
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L = 29.7 mm × W = 38.0 mm — 2.4 GHz Wi-Fi patch

A 2.4 GHz rectangular patch on FR4 substrate (ε_r = 4.4, h = 1.6 mm) measures 29.7 × 38.0 mm with approximately 3.5% bandwidth and 6.5 dBi directivity — a standard Wi-Fi antenna design.

Formula

W = c / (2f₀) × √(2 / (ε_r + 1))
L = c / (2f₀√ε_eff) - 2ΔL
ε_eff = (ε_r+1)/2 + (ε_r-1)/2 × (1 + 12h/W)^(-1/2)

Flat Antennas for a Wireless World

The microstrip patch antenna revolutionized wireless communication by enabling flat, lightweight antennas that can be printed directly onto circuit boards. First proposed by Deschamps in 1953 and practically developed by Munson and Howell in the 1970s, patch antennas now appear in virtually every smartphone, GPS receiver, Wi-Fi router, and satellite terminal. Their low profile and ease of fabrication make them the antenna of choice for modern electronics.

Resonance & Dimensions

A rectangular patch antenna resonates when its length equals approximately half a guided wavelength in the substrate medium. The dielectric constant of the substrate slows the wave, shrinking the patch below its free-space half-wavelength size. Fringing fields at the radiating edges extend the effective electrical length, requiring a small correction (ΔL) in the design formula. This simulation calculates exact dimensions accounting for effective permittivity and fringing.

Bandwidth — The Achilles Heel

The primary limitation of patch antennas is their narrow bandwidth, typically 1-5% for standard designs. The thin substrate creates a high-Q resonant cavity that stores energy efficiently but radiates reluctantly. Engineers combat this with thicker substrates, stacked multi-layer patches, U-shaped slots cut into the patch, and aperture-coupled feeding techniques. Modern smartphone antennas achieve bandwidths exceeding 20% through these advanced techniques.

Radiation Pattern & Polarization

A rectangular patch produces a broadside radiation pattern — maximum radiation perpendicular to the patch surface — with typical directivity of 6-8 dBi. The polarization depends on which mode is excited: feeding along the length produces linear polarization, while feeding at a corner or using dual feeds with a 90° hybrid coupler produces circular polarization for satellite communication applications.

FAQ

What is a microstrip patch antenna?

A microstrip patch antenna consists of a flat metallic patch on a grounded dielectric substrate. The patch, typically rectangular or circular, resonates at a frequency determined by its dimensions and the substrate properties. Patch antennas are low-profile, lightweight, and easily manufactured using PCB technology, making them ubiquitous in mobile devices, GPS, and Wi-Fi.

How do you calculate patch antenna dimensions?

For a rectangular patch, the width is W = c/(2f₀)√(2/(ε_r+1)) and the length is L = c/(2f₀√ε_eff) - 2ΔL, where ε_eff is the effective permittivity and ΔL accounts for fringing field extension. The patch length is approximately half a guided wavelength.

Why is patch antenna bandwidth so narrow?

Patch antennas are resonant structures with Q factors typically between 15 and 50, yielding bandwidths of 1-5%. The thin substrate acts as a resonant cavity with high stored energy relative to radiated power. Techniques to increase bandwidth include thicker substrates, stacked patches, U-slots, and aperture coupling.

How does substrate permittivity affect performance?

Higher permittivity reduces patch dimensions (desirable for miniaturization) but decreases bandwidth and efficiency. Low-permittivity substrates (ε_r = 2-3) offer wider bandwidth and better radiation efficiency. The design tradeoff between size, bandwidth, and efficiency is fundamental to patch antenna engineering.

Sources

Embed

<iframe src="https://homo-deus.com/lab/antenna-design/patch-antenna/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub