Antenna Engineering

Patch Antenna Resonant Frequency Vs. Substrate Permittivity And Thickness Calculator

Compute fundamental TM₁₀ resonant frequency (Hz) of a rectangular microstrip patch antenna given patch length (m), width (m), substrate relative permittivity (εᵣ), and substrate thickness (m), using cavity model correction for fringing.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Patch Antenna Resonant Frequency vs. Substrate Permittivity and Thickness

Calculator

Resonant Frequency (Hz)
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Result Interpretation

Patch Antenna Resonant Frequency Vs. Substrate Permittivity And Thickness Calculator computes Resonant Frequency in Hz using the defined engineering formula and the input values provided. Resonant Frequency is expressed in Hz. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Speed of Light in Vacuum = 299792458
  • Substrate Relative Permittivity = 4.4
  • Substrate Thickness = 0.0016
  • Patch Physical Length = 0.035

Expected Result:

  • Resonant Frequency = 2041720666.007

Engineering Interpretation:

Under the given input conditions, the calculated result is: Resonant Frequency = 2041720666.007 Hz.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

resonant frequency = speed of light in vacuum / (2 * patch physical length * sqrt(substrate relative permittivity))

Formula family: formula_antenna_patch_antenna_resonant_frequency_vs_substrate_permittivity_and_thickness_calculator

Variables

SymbolLabelRoleDescription
c0 Speed of Light in Vacuum INPUT Speed of Light in Vacuum
substrate_permittivity Substrate Relative Permittivity INPUT Substrate Relative Permittivity
substrate_thickness Substrate Thickness INPUT Substrate Thickness
patch_length Patch Physical Length INPUT Patch Physical Length
resonant_frequency Resonant Frequency OUTPUT Resonant Frequency

Calculation Steps

  1. Enter the speed of light in vacuum in m/s.
  2. Enter the substrate relative permittivity in dimensionless.
  3. Enter the substrate thickness in m.
  4. Enter the patch physical length in m.
  5. Step 1: Compute resonant frequency.
  6. Read the resonant frequency (Hz) from the results.

Engineering Summary

Calculate Patch Antenna Resonant Frequency vs. Substrate Permittivity and Thickness

Frequently Asked Questions

What does this calculator calculate?

The Patch Antenna Resonant Frequency Vs. Substrate Permittivity And Thickness Calculator estimates Resonant Frequency based on the input parameters you provide

Why is speed of light in vacuum important in this calculation?

speed of light in vacuum is directly proportional to resonant frequency. When you enter speed of light in vacuum in m/s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result resonant frequency?

The calculator outputs resonant frequency in Hz. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Speed of Light in Vacuum (m/s), Substrate Relative Permittivity (dimensionless), Substrate Thickness (m), Patch Physical Length (m). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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