Transmission Lines, Cables, and Interconnects Advanced Transmission Lines Informational

How do I design a Lange coupler using interdigitated coupled lines on a microstrip substrate?

A Lange coupler is a 3 dB (90-degree hybrid) directional coupler that uses four or more interdigitated (interleaved) parallel coupled lines connected by wire bonds or airbridges to achieve tight coupling that is impossible with a simple two-line edge-coupled structure. The Lange coupler overcomes the fabrication limitation of standard coupled microstrip (which cannot achieve gaps narrow enough for -3 dB coupling) by using multiple narrow lines interleaved so that alternate lines are connected together by wire bonds at both ends, effectively creating the equivalent of one very tightly coupled pair. The design process is: determine the required even and odd mode impedances for -3 dB coupling in a 50-ohm system (Z_0e = 120.7 ohm, Z_0o = 20.7 ohm), select the number of fingers (4 fingers is standard; more fingers provide broader bandwidth but are more complex), calculate the individual finger width and spacing using a microstrip coupled-line calculator for the required Z_0e and Z_0o (with 4 interdigitated fingers, the equivalent coupling is much stronger than a single pair at the same gap, relaxing the gap requirement from approximately 25 um to approximately 100-200 um), make the coupled section length equal to lambda/4 at the center frequency, and add wire bonds or airbridges connecting alternating fingers at both ends. Typical Lange coupler performance: 3 +/- 0.5 dB coupling over an octave bandwidth (2:1 frequency range), amplitude balance < 0.5 dB, phase quadrature 90 +/- 2 degrees, return loss > 20 dB, and isolation > 20 dB.
Category: Transmission Lines, Cables, and Interconnects
Updated: April 2026
Product Tie-In: PCB Materials, Connectors

Lange Coupler Design for Microstrip

The Lange coupler is the standard solution for 3 dB hybrid couplers on microstrip substrates at frequencies from 1 GHz to 40+ GHz. It is widely used in balanced amplifiers, balanced mixers, image-reject mixers, and power dividers/combiners.

ParameterSemi-RigidConformableFlexible
Loss (dB/m at 10 GHz)0.8-2.51.0-3.01.5-5.0
Phase StabilityExcellentGoodFair
Bend RadiusFixed after formingHand-formableContinuous flex OK
Shielding (dB)>120>90>60-90
Cost (relative)2-5x1.5-3x1x

Cable Selection Criteria

When evaluating design a lange coupler using interdigitated coupled lines on a microstrip substrate?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Loss and Phase Stability

When evaluating design a lange coupler using interdigitated coupled lines on a microstrip substrate?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

  • Performance verification: confirm specifications against the application requirements before finalizing the design
  • Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
  • Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
  1. Interface compatibility: verify impedance, connector type, and mechanical form factor match the system architecture
  2. Margin allocation: include sufficient design margin to account for manufacturing tolerances and aging effects

Connector Interface

When evaluating design a lange coupler using interdigitated coupled lines on a microstrip substrate?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Common Questions

Frequently Asked Questions

What advantage does a Lange coupler have over a branch-line coupler?

The Lange coupler has approximately 3x wider bandwidth (octave vs. approximately 20% for a branch-line) in a more compact size (approximately lambda/4 x lambda/20 vs. lambda/4 x lambda/4). The Lange coupler also provides better phase balance across the bandwidth. The branch-line coupler has the advantage of not requiring wire bonds or airbridges, making it easier to fabricate on standard PCB processes.

Can I make a Lange coupler on a standard PCB?

Yes, with some limitations. Standard PCB processes (minimum feature size 75-100 um) can fabricate the finger widths and gaps for frequencies below approximately 10 GHz on appropriate substrates (thin, moderate Er). The wire bonds can be replaced by via bridges using a thin dielectric overlay or by bonding gold ribbon. Above 10 GHz, MMIC or thin-film processes with finer features (10-25 um) are preferred.

What happens if the wire bondsbreak in a Lange coupler?

If a wire bond or airbridge opens, alternating fingers become disconnected, and the coupler degenerates into two separate, weakly coupled line pairs. The coupling drops dramatically (from -3 dB to approximately -10 to -15 dB), the isolation degrades, and the coupler no longer functions as a 3 dB hybrid. This makes the wire bond/airbridge reliability critical for Lange coupler applications.

Need expert RF components?

Request a Quote

RF Essentials supplies precision components for noise-critical, high-linearity, and impedance-matched systems.

Get in Touch