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Power Division & Combining•4-Port Quadrature

Branch-Line Coupler (90° Hybrid)

Four-port quadrature hybrid with equal 3 dB split and exact 90° phase offset.

Branch-Line Coupler (90° Hybrid) — Photorealistic 3D PCB Hardware Render
NIKOLARF
Insertion Loss
-3.1 dB (Ports 2 & 3)
Isolation / Return Loss
> 28 dB (Port 4 Isolated)
Bandwidth
10% - 18% (Centered around λ/4)
Power Rating
High (No internal resistors; purely distributed copper)

Device Topology & Electromagnetic Behavior

A planar microstrip structure consisting of four quarter-wave transmission lines in a rectangular loop. Series arms have an impedance of Z₀/√2 (35.35 Ω) and shunt branches have an impedance of Z₀ (50 Ω). Critical for IQ modulators, balanced amplifiers, and circular-polarization antenna feeds.

ANALYTICAL FORMULATIONS & S-MATRIX MAPPING
Z_series = (Z₀) / (√(2)) ≈ 35.35 Ω, Z_shunt = Z₀ = 50.0 Ω
• Branch impedances establishing equal 3 dB split with 90° phase difference.
∠ S₃1 - ∠ S₂1 = -90.0°
• Exact quadrature phase relationship between direct and coupled outputs.
Recommended Substrate Stackup

Rogers RT/duroid® 5880 (εr = 2.20) or 6002 (low TCDk phase stability).

Nikola RF Fabrication Directives
  • Compensate for T-junction discontinuity capacitances with mitered chamfers.
  • Equal line-length phase matching on output feeder launches.
Full-Lifecycle Engineering Services

Design, 3D EM Simulation & Handoff for Branch-Line Coupler (90° Hybrid)

We provide turnkey synthesis, multi-frequency full-wave simulation, and fabrication-ready packaging for the Branch-Line Coupler (90° Hybrid).

1. 3D Full-Wave FEM Modeling

Complete Ansys HFSS 3D CAD modeling with true edge-launch SMA or SMP connectors, via fence stitching, and adaptive mesh refinement down to ΔS < 0.007.

2. Sensitivity & Tolerance Sweeps

Monte Carlo statistical analysis over copper etching tolerances (±15 µm) and substrate permittivity variations to guarantee first-pass high-yield manufacturing.

3. Manufacturing Handoff

Delivery of verified simulation models, parameterized layout geometries, and photolithography-compliant Gerber RS-274X fabrication packages.

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Submit your operational frequency, bandwidth, power handling, and target substrate stackup. Our electromagnetic engineers will deliver a verified feasibility audit within 48 hours.

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Computational Electromagnetics • Microwave Co-Design • Strict Engineering Confidentiality