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Coupled-Line Directional Coupler Even & Odd Mode Calculator

Easily calculate and compute coupled-line directional coupler even & odd mode calculator with accurate equations, live formulas, and expert guidance.

Coupled power ratio (e.g. 10 dB, 20 dB).

Port characteristic impedance.

Calculated Result
69.37 Ω

Even-Mode Impedance Z_0e

Even-Mode Impedance Z_0e

69.37 Ω

Even Mode Impedance Z0e

69.37129433613966

Odd Mode Impedance Z0o

36.03796100280632

Geometric Mean Z0

50

Voltage Coupling Factor

0.31622776601683794

69.37 — Ω

Calculation Breakdown

  1. Applied FormulaCalculates even-mode (Z0e) and odd-mode (Z0o) characteristic impedances for backward-wave coupled microstrip and stripline directional couplers.Z_{0e} = Z_0 \sqrt{\frac{1 + C}{1 - C}}, \quad Z_{0o} = Z_0 \sqrt{\frac{1 - C}{1 + C}}

Coupled-Line Coupler Zoe/Zoo Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.017355269Even-Mode Impedance Z_0e

What Is the Coupled-Line Directional Coupler Even & Odd Mode Calculator?

This tool computes coupled-line directional coupler even & odd mode calculator with high precision arithmetic.

How Does the Coupled-Line Directional Coupler Even & Odd Mode Calculator Work?

Calculates even-mode (Z0e) and odd-mode (Z0o) characteristic impedances for backward-wave coupled microstrip and stripline directional couplers.

Coupled-Line Directional Coupler Even & Odd Mode Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Z0e=Z01+C1−C,Z0o=Z01−C1+CZ_{0e} = Z_0 \sqrt{\frac{1 + C}{1 - C}}, \quad Z_{0o} = Z_0 \sqrt{\frac{1 - C}{1 + C}}

Calculates even-mode (Z0e) and odd-mode (Z0o) characteristic impedances for backward-wave coupled microstrip and stripline directional couplers.

How to Use the Coupled-Line Directional Coupler Even & Odd Mode Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Coupled-Line Directional Coupler Even & Odd Mode Calculator Example

Input Values:

couplingDb:10
systemImpedanceZ0:50
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Ω.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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