Circular Waveguide Cutoff Frequency Calculator TE11 Mode

How to Use This Calculator

1. Enter the radius of your circular waveguide in meters. This is the distance from the center of the waveguide to its outer edge.
2. Click the "Calculate" button to compute the cutoff frequency for the TE11 mode.
3. The result will be displayed in gigahertz (GHz).
4. If you need to perform another calculation, click "Reset" to clear all input fields.

Understanding the TE11 Mode

The TE11 mode is the lowest-order mode that can propagate in a circular waveguide. It has one variation in the azimuthal direction and no variation in the radial direction. This mode is commonly used in microwave systems due to its relatively low cutoff frequency compared to other modes.

Formula Explanation

The cutoff frequency for a circular waveguide in the TE_mn mode is given by:

f_c = (β_n/2πc) × √(β_n² + (mω/c)²)

Where:

• f_c is the cutoff frequency
• β_n is the nth root of the Bessel function J_n(x) = 0
• m is the azimuthal mode number
• ω is the angular frequency
• c is the speed of light

Applications

This calculator is useful for engineers and technicians working with circular waveguides in microwave communication systems, radar systems, and other high-frequency applications. By knowing the cutoff frequency, you can design waveguide systems that operate efficiently at specific frequencies while suppressing lower-order modes.