RF & Antenna Education

From first principles to advanced beamforming — our library of guides, tutorials, and deep-dives is free for engineers, students, and enthusiasts worldwide.

Learning Paths

Structured topic guides — each covers a complete subject area with articles, equations, and worked examples.

Transmission Lines · 15-Part Series
Transmission Lines & Microwave Circuits

From why a wire becomes a transmission line to a measured RF board — RLGC model, Z₀, propagation, reflections and VSWR, losses, microstrip, CPW, stripline, stubs, discontinuities and resonators.

RLGC & Z₀ Γ & VSWR Microstrip CPW & Stripline Resonators
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Antenna Design
Antenna Types

A practical guide to the most common antenna types — how each works, where it's used, and how to choose the right one for your application.

Patch Dipole Yagi-Uda Horn Helix Arrays
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Electromagnetics · 10-Part Series
Maxwell's Equations

From electric and magnetic fields to the four equations, electromagnetic waves and boundary conditions — and how they shape lines, waveguides and antennas.

Gauss's Law Faraday Ampère–Maxwell EM Waves Boundaries
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RF Fundamentals · 12-Part Series
Smith Chart & Impedance Matching

From impedance, reflection coefficient and VSWR to reading the Smith chart and designing L-network and stub matches for real antennas.

Impedance Γ & VSWR Smith Chart L-Networks Stubs
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Antenna Theory · 14-Part Series
Antenna Fundamentals

How antennas radiate, and every parameter that describes them — patterns, directivity and gain, impedance, S11, efficiency, bandwidth, polarization, aperture and the Friis link.

Radiation Patterns Gain Impedance Polarization
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Intermediate
RF Fundamentals

Understanding Smith Chart Parameters and Circles

Part 8: constant-resistance circles, constant-reactance arcs, constant-conductance and susceptance circles, constant-VSWR circles, the wavelengths-toward-generator scales, radially scaled parameters and constant-Q curves.

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Intermediate
RF Fundamentals

How to Plot Impedance on a Smith Chart

Part 9: a step-by-step method for plotting impedance on a Smith chart, reading Γ, VSWR and return loss, finding admittance, and following an impedance along a transmission line, with calculator screenshots.

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Intermediate
RF Fundamentals

Impedance Matching Using the Smith Chart

Part 10: impedance matching with the Smith chart — conjugate matching, how series and shunt components move the impedance, step-by-step L-network design, four solutions for one load, component values, bandwidth and π/T networks.

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Advanced
RF Fundamentals

Single-Stub and Double-Stub Impedance Matching

Part 11: single-stub and double-stub impedance matching — stub position and length on the Smith chart and analytically, short vs open stubs, microstrip lengths on FR-4, the double-stub forbidden region, and stub bandwidth.

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Advanced
RF Fundamentals

Practical Applications of Smith Charts in RF and Microwave Engineering

Part 12: practical Smith chart applications — matching a measured antenna from a Touchstone .s1p file, reading VNA sweeps, how cable loss hides a mismatch, port extension, and stability, gain and noise circles in amplifier design.

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Beginner
Antenna Fundamentals

Introduction to Antennas

Part 1 of the Antenna Fundamentals series: what an antenna is, why wireless needs one, radiation from accelerating charges, radiation resistance, receiving antennas and effective aperture, reciprocity, the antenna equivalent circuit and the main antenna families.

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