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.

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

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Beginner
RF Fundamentals

Understanding Characteristic Impedance of Transmission Lines

Part 2: what a transmission line is, the definition of characteristic impedance Z₀ = √(L/C), voltage and current on a line, Z₀ of coaxial cables and microstrip lines, why 50 Ω and 75 Ω systems are used, and the factors that change Z₀.

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Beginner
RF Fundamentals

Understanding Load Impedance and Reflection Coefficient

Part 3: load impedance and reflections, the reflection coefficient Γ = (Z_L − Z₀)/(Z_L + Z₀), its magnitude and phase, short, open and matched loads, return loss, S11 and reflected power, with Smith Chart Calculator examples.

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Intermediate
RF Fundamentals

Standing Waves and Voltage Standing Wave Ratio (VSWR)

Part 4: how standing waves form on a mismatched line, voltage maxima and minima, the definition of VSWR, conversions between VSWR, Γ, return loss and mismatch loss, the VSWR circle on the Smith chart, and why VSWR matters.

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Intermediate
RF Fundamentals

Impedance Transformation Along Transmission Lines

Part 5: the input impedance of a transmission line, impedance transformation as rotation on the Smith chart, λ/8, λ/4 and λ/2 lines, the quarter-wave transformer, short- and open-circuited stubs, and physical line lengths.

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Intermediate
RF Fundamentals

Introduction to the Smith Chart

Part 6: the purpose and history of the Smith chart, how it is constructed from the reflection-coefficient plane, its regions and special points, the impedance and admittance charts, and how to read the combined Z/Y chart.

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Intermediate
RF Fundamentals

Understanding Normalized Impedance on the Smith Chart

Part 7: normalised impedance and admittance (z = Z/Z₀, y = Y·Z₀), denormalising chart readings, changing the reference impedance from 50 Ω to 75 Ω, and converting normalised values into inductor and capacitor values.

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