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Rectangular Waveguide Cutoff Frequency & Guide Wavelength Calculator

Easily calculate and compute rectangular waveguide cutoff frequency & guide wavelength calculator with accurate equations, live formulas, and expert guidance.

Internal broad wall width (e.g. WR-90 / X-band a = 22.86 mm).

Internal narrow wall height (WR-90 b = 10.16 mm).

Applied signal frequency (must be > fc).

Calculated Result
6.56 GHz

Dominant TE10 Cutoff Frequency fc

Dominant TE10 Cutoff Frequency fc

6.56 GHz

Cutoff Frequency Ghz

6.557140376202975

Guide Wavelength Mm

39.70711921111211

Free Space Wavelength Mm

29.979245799999998

Wave Impedance Te Ohms

498.97396085935776

6.56 — GHz

Calculation Breakdown

  1. Applied FormulaCalculates TE10 dominant mode cutoff frequency, guide wavelength λ_g, wave impedance, and phase velocity for standard WR-series hollow rectangular waveguides.f_c = \frac{c}{2a}, \quad \lambda_g = \frac{\lambda_0}{\sqrt{1 - (f_c/f)^2}}

Rectangular Waveguide TE10 Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.63.34.96.6Dominant TE10 Cutoff Frequency fc

What Is the Rectangular Waveguide Cutoff Frequency & Guide Wavelength Calculator?

This tool computes rectangular waveguide cutoff frequency & guide wavelength calculator with high precision arithmetic.

How Does the Rectangular Waveguide Cutoff Frequency & Guide Wavelength Calculator Work?

Calculates TE10 dominant mode cutoff frequency, guide wavelength λ_g, wave impedance, and phase velocity for standard WR-series hollow rectangular waveguides.

Rectangular Waveguide Cutoff Frequency & Guide Wavelength Calculator Formula & Variables

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

fc=c2a,λg=λ01−(fc/f)2f_c = \frac{c}{2a}, \quad \lambda_g = \frac{\lambda_0}{\sqrt{1 - (f_c/f)^2}}

Calculates TE10 dominant mode cutoff frequency, guide wavelength λ_g, wave impedance, and phase velocity for standard WR-series hollow rectangular waveguides.

How to Use the Rectangular Waveguide Cutoff Frequency & Guide Wavelength Calculator

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

Step-by-Step Example Calculation

Rectangular Waveguide Cutoff Frequency & Guide Wavelength Calculator Example

Input Values:

broadWallWidthMm:22.86
shortWallHeightMm:10.16
operatingFrequencyGhz:10
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required GHz.

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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