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Free Helical Resonator Cavity Filter Calculator RF & Microwave
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Free Helical Resonator Cavity Filter Calculator

Design high-Q helical resonator cavity bandpass filters for VHF & UHF repeater front-ends. Calculate cavity shield dimensions, coil turns, and insertion loss.

📡 Filter Specifications & Cavity Profile

MHz
MHz
inches
1.5" = 38.1 mm square aluminum tubing.
Helical Cavity Geometry Rule

For maximum unloaded quality factor ($Q_u$), classic ITT/Zverev helical design requires: Coil Dia d ≈ 0.55 × Shield S • Coil Ht b ≈ 1.5 × d • Cavity Ht B ≈ b + d

Helical Coil Dimensions
5.3 Turns (#12 AWG wire)

Coil OD: 21.0 mm (0.825") • Coil Height: 31.4 mm (1.24")

Unloaded Q-Factor 1,560 Cavity resonance Q_u
Insertion Loss 0.60 dB Passband center loss
Cavity Mechanical Enclosure

Cavity Height (B): 52.5 mm (2.07")

Input / Output Taps: Solder feed tap at approx 0.6 turns from cold ground end.

Why Helical over LC? At VHF/UHF, lumped LC filters suffer from low inductor Q (< 150), causing 3 to 6 dB of insertion loss. Helical resonators achieve $Q_u > 1,500$ in a compact 1.5" metal can, slashing insertion loss to under 0.6 dB!

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Physics of Helical Resonator Filters

A helical resonator is a quarter-wave transmission line wound into a tight cylindrical coil inside a high-conductivity shielding cavity. One end of the helix connects to the cavity wall (ground), while the other end is open (forming a high-voltage open-circuit cap).

ITT Standard Engineering Formulas

Coil Diameter: d = 0.55 × S (inches)
Coil Winding Height: b = 1.5 × d
Cavity Total Height: B = b + d
Number of Turns: N = 1900 / (f_0(MHz) × d(inches))
Unloaded Quality Q: Q_u = 50 × S(inches) × √(f_0(MHz))
Insertion Loss: IL(dB) ≈ 4.34 × (n × f_0) / (Q_u × BW)

Frequently Asked Questions

How do you tune a helical resonator cavity?

A brass or silver-plated machine screw is threaded through the top of the shield cavity directly above the open end of the helical coil. Screwing it downward increases top capacitive loading to ground, pulling the resonant frequency downward by 5% to 10% for precision alignment.

How are multi-cavity helical filters coupled together?

Coupling is achieved via an aperture (window) cut into the common wall between adjacent cavity shields. The size of the aperture controls mutual magnetic coupling between adjacent coils, setting the bandpass flatness and Chebyshev ripple.

Why must copper or silver-plated tubing be used for the cavity?

RF currents at VHF/UHF travel only in the extreme microscopic outer skin depth (a few microns). Bare aluminum has an oxide layer with poor conductivity, increasing insertion loss. Silver-plating or polished copper cavity walls maximize Q-factor.