What Is the RF Wilkinson Power Divider Calculator?
The RF Wilkinson Power Divider Calculator sizes microstrip and stripline branch transmission lines and isolation components for equal-split microwave dividers.
How Does the RF Wilkinson Power Divider Calculator Work?
It computes branch impedances using odd/even mode synthesis and calculates quarter-wavelength physical lengths using propagation velocity.
RF Wilkinson Power Divider Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Wilkinson scattering matrix condition providing simultaneous impedance matching at all three ports with ideal infinite isolation.
How to Use the RF Wilkinson Power Divider Calculator
- Enter system reference impedance (typically 50 Ω).
- Specify operating center frequency in GHz.
- Input substrate effective dielectric constant.
Step-by-Step Example Calculation
2.4 GHz Wi-Fi 50-Ohm Power Divider
Input Values:
Understanding Your Result
Branch Impedance (Z_branch): Target characteristic impedance of the two curved arms (70.7 Ω for 50 Ω).
Isolation Resistor: Chip resistor value bridging output ports.
Quarter-Wave Length: Physical track length from input node to output split.
Factors That Affect the Result
- Higher operating frequencies directly shorten physical quarter-wave branch lengths.
- Higher substrate dielectric constant shrinks circuit layout dimensions.
When Should You Use This Calculator?
- Phased array antenna feed networks, balanced amplifiers, I/Q mixers, and microwave test fixtures.
Assumptions & Limitations
- Assumes lossless transmission lines and a lumped non-inductive isolation resistor.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Based on Pozar Microwave Engineering (4th Edition) Chapter 7.