J Pole Antenna Interactive Calculator

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If your J-Pole antenna elements aren't the right length, you're going to get a poor impedance match. That means high SWR and wasted transmitter power—not ideal whether you're setting up a repeater or a portable VHF station. This calculator gives you radiator length, stub length, feedpoint spot, and estimated bandwidth, all from practical parameters like frequency, velocity factor, and actual material sizes. Getting a 50Ω match is worth the effort, because otherwise your system won't deliver what you expect. Below are the design equations, a worked 155 MHz public safety example, concise theory on how these things actually work electrically, and a real-world FAQ.

What is a J-Pole Antenna?

A J-Pole is a vertical antenna using two parts: a half-wave radiator (where the energy goes out), and a quarter-wave stub used just for matching the antenna to your coax. The “J” shape comes from how you arrange these pieces: both connected at the top, the stub parallel to the lower half of the radiator.

Simple Explanation

Picturing it like a volume knob isn't too far off—the stub lets you pick where the cable taps in, so more power goes out the antenna and less gets reflected. The radiator is doing all of the transmitting. The stub just transforms the impedance, so you can actually get power into the antenna from your radio. Take away the stub and hardly any of your transmitter power gets to the air.

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J-Pole Antenna Diagram

J Pole Antenna Interactive Calculator Technical Diagram

Interactive J-Pole Antenna Calculator

How to Use This Calculator

Engineering calculation notice

This calculator is intended for education, concept evaluation, and preliminary design. Results are based on the equations and assumptions described on this page, but cannot account for every real-world load case, tolerance, material property, environmental condition, installation detail, safety factor, code, or regulatory requirement. Verify all inputs, assumptions, units, and results independently before selecting components or using the result in a real application. Safety-critical, structural, medical, lifting, transportation, or regulated applications must be reviewed by a qualified engineer.

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  1. Pick your calculation mode from the dropdown—use "Calculate Dimensions from Frequency" for new builds, or any reverse mode if you have a physical measurement to work from.
  2. Input your main values: operating frequency in MHz, velocity factor (0.93–0.97 is normal for most metals), conductor diameter in mm, and element spacing in mm.
  3. Reverse modes will prompt you for the known measurement—could be radiator length, stub length, or feed height.
  4. Press Calculate to get your results.

J-Pole Antenna Interactive Calculator

You can see how changes in frequency, velocity factor, and your conductor sizes actually affect the calculated J-Pole lengths, feed impedance, and bandwidth. Use the sliders and watch what really happens to your 50Ω match as you adjust each variable.

Frequency (MHz) 146 MHz
Velocity Factor 0.95
Conductor Spacing (mm) 25 mm
Conductor Diameter (mm) 6 mm

RADIATOR LENGTH

975 mm

STUB LENGTH

488 mm

FEEDPOINT

122 mm

IMPEDANCE

52 Ω

BANDWIDTH

4.2 MHz

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J-Pole Antenna Design Equations

Fundamental Wavelength Calculation

Use the formula below to calculate wavelength from frequency and velocity factor.

λ = (c × VF) / f

Where:

  • λ = Wavelength in meters
  • c = Speed of light (299.792458 m/s)
  • VF = Velocity factor (dimensionless, typically 0.93-0.97 for copper)
  • f = Frequency in MHz

Radiator Element Length

Use the formula below to calculate the half-wave radiator length.

Lradiator = λ / 2

The half-wave radiating element provides the primary radiation pattern. Physical length must account for end effects and conductor diameter through the velocity factor correction.

Quarter-Wave Matching Stub

Use the formula below to calculate the quarter-wave stub length.

Lstub = λ / 4

The quarter-wave stub transforms the high impedance at the base of the half-wave radiator to a lower impedance suitable for coaxial feedline matching.

Feedpoint Position Optimization

Use the formula below to calculate the initial feedpoint height along the stub.

hfeed = (0.20 to 0.30) × Lstub

Where:

  • hfeed = Height above bottom of stub in same units as Lstub
  • Typical starting position: 0.25 × Lstub for 50Ω systems
  • Move up for higher impedance, down for lower impedance

Characteristic Impedance of Parallel Conductors

Use the formula below to calculate the characteristic impedance of the parallel conductor stub.

Z0 = 276 × log10(2s / d)

Where:

  • Z0 = Characteristic impedance in ohms
  • s = Center-to-center conductor spacing
  • d = Conductor diameter (same units as s)

Bandwidth Estimation

Use the formula below to calculate 2:1 SWR bandwidth from Q factor.

BW = f / Q
Q ≈ λ / d

Where:

  • BW = 2:1 SWR bandwidth in MHz
  • Q = Quality factor (dimensionless)
  • d = Conductor diameter in same units as λ

Simple Example

Here's a J-Pole build for 146 MHz, copper tubing (VF = 0.95), 6.35 mm diameter, 25.4 mm spacing:

  • Wavelength: λ = (299.792 × 0.95) / 146 = 1.950 m
  • Radiator length: 1.950 / 2 = 975 mm
  • Stub length: 1.950 / 4 = 487.5 mm
  • Feedpoint: 0.25 × 487.5 = 122 mm up from the stub bottom
  • Total height: 975 + 487.5 = 1462.5 mm

Theory & Practical Applications of J-Pole Antennas

Fundamental Operating Principles

J-Pole antennas were originally designed to solve a basic problem: how to feed a half-wave vertical antenna from the end, when the current minimum at the feedpoint creates extremely high impedance (often 2000–5000Ω or more). By tacking on a parallel quarter-wave stub at the base, you get a practical way to transform that impedance down to something usable—usually in the 35–75Ω territory—based on where you tap the feedpoint. You can fine-tune this by moving your feed up or down the stub, and the effect is sensitive to your actual spacing and diameter.

With a J-Pole, current is highest right at the top junction (where the stub joins the radiator), and lowest at the open ends (the tip of the main element and the bottom of the stub). The best spot to feed the antenna is usually 20–30% up from the bottom of the stub; that's where you'll typically find close to a 50Ω match, though you’ll need to confirm with real measurements after construction. The optimum spot does change if your element sizes or spacings change, so plan to adjust during tuning.

Velocity Factor and Physical Corrections

Velocity factor is not a trivial correction—it shows up in every real J-Pole build. Radio energy moves slower down a wire than it does in free space, so the elements always end up physically shorter than you'd predict from the textbook wavelength. Copper and aluminum tubing come in around 0.93–0.97 VF as-built, and ignoring it will result in resonance below your target frequency. On a 146 MHz VHF J-Pole, you'll see the practical radiator length come in shorter than the theoretical λ/2—closer to 975 mm, not 1027 mm, for about 6 mm diameter copper.

Larger element diameter throws in further shortening, because of the extra capacitance at the element ends. That means the fatter your elements, the more you need to trim. This is even more noticeable at UHF or with thick-walled tubing. Builders usually leave the radiators slightly long, then trim them down for resonance after construction to get the tuning just right. There’s always some trial, and almost never a perfect first-cut.

Impedance Matching Mechanism

The quarter-wave stub works as an impedance transformer. The calculation for the transformation is Zin = Z0² / Zload, where Z0 (set by your actual spacing and diameter) is usually 150–250Ω, and Zload is the high impedance you see at the radiator base. This transformation alone doesn't get you directly to 50Ω; you find the 50Ω point as you tap higher along the stub, catching the spot where the transformed impedance curve crosses your feedline impedance. At VHF, the match window is pretty tight, and a few mm one way or another can make a real difference.

This match is narrowband—move frequency up or down and the stub and radiator lengths are wrong for the new frequency, so impedance quickly drifts away from 50Ω. The physical diameter of your elements (and therefore Q) sets how much usable bandwidth you get. In general: thin wire = high Q = narrow bandwidth, fat pipe = lower Q = better bandwidth, but also heavier and more expensive.

Radiation Pattern Characteristics

A J-Pole gives a mostly omnidirectional pattern if mounted vertical and clear of the ground. Most of the radiation comes off the half-wave section, at low angles. The stub doesn't do much radiating; currents in the parallel stub wires largely cancel. But there is a little asymmetry (usually a dB or two) toward the stub side, so if you're really pushy about even coverage, keep that in mind.

Elevated above ground, the pattern is strongest at the horizon, which is what you want for terrestrial comms (repeaters, base stations). If mounted low, or if the ground is conductive, the pattern distorts and may send more energy upward. The typical J-Pole has about 2–3 dBd gain compared to a dipole, or 5–6 dBi in absolute terms, mostly because it focuses energy at low angles in the main lobe.

Practical Construction Techniques

For typical 2-meter antennas, copper tubing (often 12.7 or 19 mm) or sometimes aluminum is used, with 25–40 mm spacing. You cut elements slightly long to start—give 10–15 mm extra so you have room to trim during tuning. The elements get tied together with a copper or brass bridge at the top, and spaced using some kind of plastic or fiberglass spreader every 200–300 mm to keep spacing consistent along the whole length. For the feedpoint, people usually mount a coax jack to a weatherproof box, with center conductor to the radiator and shield to the stub, exactly at the calculated tap point (again, leave wiggle room here for adjustment).

Tuning is a hands-on job. Start with the feed at about 25% height up the stub. Use an SWR meter or good analyzer, check frequency, and trim the radiator if resonance is too low (never cut big chunks; try 5 mm at a time). If resonance is too high, you’ll have to recut your tubing longer; splicing isn't good practice. Once resonance matches your target frequency, fine-tune SWR by sliding the feedpoint up or down (3mm steps work). If SWR gets better toward one edge of the band, keep moving the tap until you get the best all-band match. Experienced builders can usually get SWR below 1.5:1 in less than an hour with just a cheap analyzer.

Environmental and Installation Considerations

Height above ground and what you mount to both matter. Anything less than about 0.125 wavelength above ground and you'll get a degraded pattern—more vertical, less usable at the horizon. 0.25–0.5 wavelength up is a practical minimum (400–700 mm for VHF). Metal masts can detune the antenna, especially if they run right alongside the radiator—mount behind the stub side if possible, or use non-conductive pipe. Make sure your feedline leaves the antenna at a right angle for a while to avoid coupling currents back into the shield.

For outdoor builds, water is a headache. Unsealed connections pull in moisture and shift resonance, crank up the SWR, and eventually corrode the joint. Always weather-seal at the feed and create a drain hole in the lowest stub section so water doesn't pool inside. Some builders clear-coat copper for longevity if left up in the elements. Check the antenna every few months if you care about low SWR.

Multi-Band and Harmonic Operation

Stock J-Poles are not good multi-band antennas—at most odd harmonics, current distribution and feed matching break down, and SWR goes through the roof. On, say, 440 MHz with a 2m J-Pole, expect everything to look wrong on your analyzer. If you want dual-band, you need to add traps or a separate element for the second band; most dual-banders use a second radiator tapped off the first, and it turns into a more complicated project than a basic J-Pole. Trying to fudge a single J-Pole across widely spaced bands just doesn't work well.

Worked Design Example: Public Safety 155 MHz J-Pole

Let's break down a practical example for public safety at 155.370 MHz. The requirement: must cover at least 2 MHz bandwidth for full coverage, built from 19 mm aluminum tubing, 38 mm center-to-center spacing for sturdiness outdoors.

Step 1: Wavelength Calculation

Using VF = 0.94 (fair for 19 mm aluminum):

λ = (299.792458 × 0.94) / 155.370 = about 1.813 m = 1813 mm

Step 2: Radiator Length

Lradiator = 907 mm (rounded, add 20 mm for bridge = 927 mm cut length)

Step 3: Stub Length

Lstub = 453 mm

Step 4: Characteristic Impedance Check

Z0 = 276 × log₁₀(2 × 38.1 / 19.05) = 166 Ω (on the low end, so you’ll feed closer to the bottom than usual for a 50Ω match)

Step 5: Feedpoint Position

About 22% of 453 mm = 100 mm up from bottom to target 50Ω

Step 6: Bandwidth

Q = 1813 / 19 = 95 approx. Bandwidth is 155.37 / 95 = 1.63 MHz. If you want full 2 MHz coverage, bigger tubing helps. With 25 mm diameter, Q drops and bandwidth rises over 2 MHz.

Step 7: For 25 mm Tubing

VF drops slightly (let's say 0.93). Final radiator: 897 mm + 20 mm = 917 mm cut, stub = 449 mm, tap at 90 mm from bottom. Z0 drops to 132Ω.

Summary:

  • Radiator: 917 mm (25 mm diameter aluminum)
  • Stub: 448 mm (same diameter)
  • Total height: 1365 mm
  • Spacing: 38 mm c-c
  • Initial tap: 90 mm up
  • 2.18 MHz bandwidth
  • Z0: 132Ω

This is a robust outdoor build: standard water pipe or irrigation tubing, tough spreaders every quarter meter, and a sealed feedpoint. Don't expect to hit perfect results in one cut or guess—the last few mm always need tuning. For more resources, see the FIRGELLI Engineering Calculator Hub.

Frequently Asked Questions

▼ Why does feedpoint position affect impedance matching so dramatically?

▼ Can I use different conductor materials, and how does material choice affect performance?

▼ How does ground proximity affect J-Pole performance and what is minimum safe mounting height?

▼ What causes SWR to vary across the frequency band even after perfect tuning at center frequency?

▼ Why do commercial J-Poles use rollable designs with tape measure elements instead of rigid tubing?

▼ How do I troubleshoot high SWR after construction when dimensions match calculations?

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About the Author

Robbie Dickson — Chief Engineer & Founder, FIRGELLI Automations

Robbie Dickson brings over two decades of engineering expertise to FIRGELLI Automations. With a distinguished career at Rolls-Royce, BMW, and Ford, he has deep expertise in mechanical systems, actuator technology, and precision engineering.

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J Pole Antenna Interactive Calculator

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