Theory

Beyond the Basic Cathode Follower

White cathode follower, SRPP, and mu-follower — trading complexity for performance

The basic cathode follower has gain slightly less than unity (A_v = μ/(μ+1)), low output impedance (Z_out ≈ 1/gm), and high input impedance. But it has a fundamental asymmetry: the tube can only source current (pull up) actively — current sinking depends on the passive cathode resistor. This limits output swing, increases distortion, and raises the output impedance for negative-going signals.

Standard CF: Z_out = 1/gm ≈ rp/(μ+1)
White CF: Z_out ≈ 1/(gm₁ × gm₂ × R_k) — much lower
Calculator

Cathode Follower Topology Comparison

Standard vs White vs SRPP vs Mu-follower

μ20
rp7.7
Rk10
B+300V
gm2.60mA/V
Av (standard)0.952V/V
Zout standard367Ω
Zout White14.8Ω
Av SRPP0.909V/V
Zout SRPP700Ω
Swing (std)166Vpp
Swing (SRPP)136Vpp
Visualization

Output Impedance vs Frequency

Reference

Cathode Follower Variants

From simple buffer to audiophile output stage

TopologyZ_outDistortionUse
Standard CF1/gm ≈ 370Ω0.5-2% (asymmetric)Buffer, line driver
White CF< 50Ω< 0.1% (symmetric)Headphone amp, cable driver
SRPP2rp/(μ+2)< 0.3% (push-pull)Headphone amp, phono stage output
Mu-follower1/gm< 0.05%High-end DAC output, preamp
Aikido1/gm< 0.1%PSRR-optimized buffer
Practice

Building Advanced Cathode Followers

1. White Cathode Follower

The White CF adds a second tube as an active current sink. When the upper tube sources more current (positive swing), the lower tube detects the increased voltage across Rk and sinks more current. This creates push-pull action with dramatically lower output impedance. Use matched 6SN7 sections. Typical values: Rk = 10kΩ, B+ = 300V, Ip ≈ 10mA per tube. Output impedance drops to < 50Ω — excellent for driving long cables or headphones.

2. SRPP (Shunt-Regulated Push-Pull)

The SRPP stacks two triodes: the lower as a common-cathode amplifier, the upper as a cathode follower. At the output node (junction), both tubes contribute current — one pushes, the other pulls. Optimal when the load impedance equals 2×rp. With a 6SN7: rp ≈ 7.7kΩ, so optimal load ≈ 15kΩ. Higher loads favor the mu-follower instead. SRPP is ideal for headphone amplifiers (32-600Ω loads need the low Zout).

3. Mu-Follower

The mu-follower replaces the passive cathode load with a pentode or MOSFET CCS. The CCS provides infinite (AC) load impedance, so the triode follower operates with maximum linearity and voltage swing approaching B+ - Vak_min. The key: the CCS must have output impedance >> rp of the follower tube. An EF86 or cascode MOSFET CCS works well. This topology achieves the lowest distortion of any single-ended tube buffer.

Quiz de synthèse

Testez vos connaissances

Question 1 / 5

What is the fundamental limitation of a standard cathode follower?

References

  1. Paul Horowitz & Winfield Hill, The Art of Electronics, 3rd ed., Cambridge University Press, 2015. ISBN 978-0521809269Canonical reference for analog design — covers tubes in Ch. 2.4 & Ch. 3.
  2. Morgan Jones, Valve Amplifiers, 4th ed., Newnes, 2012. ISBN 978-0080966403Modern engineering treatment of tube audio design.