Passive Components

Coupling Factor

Coupling factor is the ratio of power at the input port to power at the coupled port of a directional coupler, expressed in dB. A 10 dB coupler samples one-tenth of the input power. Along with directivity and insertion loss, coupling factor is a primary specification of any directional coupler used for power monitoring, signal sampling, or feedback control.
Category: Passive Components
Related to: Directional Coupler, Directivity, Isolation, Power Divider
Units: dB

Understanding Coupling Factor

In a directional coupler, four ports exist: input, through (direct), coupled, and isolated. The coupling factor defines how much power is diverted from the main signal path to the coupled port. It is expressed as a positive dB value representing the power reduction from input to coupled port.

Definition

Coupling (dB) = 10 x log10(P_input / P_coupled). A 10 dB coupler delivers 10% of input power to the coupled port and 90% to the through port (minus any insertion loss). A 20 dB coupler delivers 1% to the coupled port.

Standard Coupling Values

  • 3 dB: Equal power split (used in hybrid couplers and power dividers)
  • 6 dB: 25% to coupled port, used in some power combining networks
  • 10 dB: 10% sampled, common for signal monitoring in test setups
  • 20 dB: 1% sampled, standard for transmitter power monitoring
  • 30 dB: 0.1% sampled, used for high-power transmitter monitoring where minimal main-line disturbance is critical

Key Relationships

The three primary coupler specifications are interrelated: Isolation (dB) = Coupling (dB) + Directivity (dB). A 20 dB coupler with 25 dB directivity provides 45 dB of isolation. Higher directivity means the coupled port responds primarily to forward power, not reflected power.

Applications

  • Transmitter monitoring: Sample forward and reflected power to protect amplifiers and verify antenna VSWR
  • Test setups: Tap a small fraction of signal for measurement without disrupting the main signal path
  • Feedback loops: Provide a reference signal for automatic level control (ALC) circuits
  • Antenna systems: Monitor radiated power in broadcast and cellular base stations

Key Equations

Coupling Factor:
Coupling factor is the ratio of power at the input port to power at the coupled port of a directional coupler, expressed in dB. A...

Key specifications:
10 dB | 10 % | 90 % | 20 dB | 1 %

S-params: IL=−20log|S21|, RL=−20log|S11|

Comparison

AspectCoupling Factor SpecTypical RangeImpactDesign Note
Primary functionCoupling factor is the ratio of power at...Application-dep.CriticalVerify in sim
Operating rangeA 10 dB coupler samples one-tenth of the...Application-dep.CriticalVerify in sim
PerformanceAlong with directivity and insertion los...Application-dep.CriticalVerify in sim
IntegrationUnderstanding Coupling Factor In a direc...Application-dep.CriticalVerify in sim
Trade-offThe coupling factor defines how much pow...Application-dep.CriticalVerify in sim
Common Questions

Frequently Asked Questions

What is coupling factor?

Coupling factor is the ratio of input power to coupled port power in a directional coupler, expressed in dB. A 20 dB coupler delivers 1/100th of the input power to the coupled port, allowing signal monitoring with minimal disturbance to the main path.

How do you choose a coupling value?

Choose based on the application. For power monitoring, 20-30 dB minimizes main-line loss. For equal power splitting, use 3 dB. For signal sampling in test setups, 10-20 dB is common. Higher coupling values mean less power sampled but also less impact on the main signal.

What is the relationship between coupling, directivity, and isolation?

Isolation (dB) = Coupling (dB) + Directivity (dB). A 20 dB coupler with 20 dB directivity provides 40 dB isolation. Higher directivity means better discrimination between forward and reverse power at the coupled port.

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