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Circular Microstrip Patch Antenna Dominant TM110 Resonance Calculator

Circular microstrip antennas provide clean radiation patterns and flexible circular polarization excitation.

Center resonant frequency

Dielectric constant of PCB substrate

Dielectric height above ground plane

Calculated Result
17.09 mm

Physical Patch Radius (a)

Effective Fringing Radius

17.62 mm

Calculation Breakdown

  1. TM110 Bessel Resonancea = (1.8412 · c) / (2π · f · √εr) => 17.09 mm

Radius Comparison across Substrates

Interactive visualization based on your current inputs

Radius
0.06.0121824FR4 (εr=4.4)Rogers 4003C (3.55)PTFE (2.2)SubstrateRadius (mm)

What Is the Circular Microstrip Patch Antenna Dominant TM110 Resonance Calculator?

Circular microstrip antennas provide clean radiation patterns and flexible circular polarization excitation.

Bessel derivative zeros dictate the dominant TM110 cavity resonance, corrected for fringing fields extending beyond the physical disc edge.

How Does the Circular Microstrip Patch Antenna Dominant TM110 Resonance Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Circular Microstrip Patch Antenna Dominant TM110 Resonance Calculator Formula & Variables

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

a = \frac{1.8412 \cdot c}{2 \pi f_r \sqrt{\epsilon_r}}, \quad a_{eff} = a \sqrt{1 + \frac{2 h}{\pi a \epsilon_r} \left[\ln\left(\frac{\pi a}{2 h}\right) + 1.7726\right]}

Cavity model resonance and fringe field extension.

How to Use the Circular Microstrip Patch Antenna Dominant TM110 Resonance Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

2.45 GHz Bluetooth/Wi-Fi Circular Patch

Input Values:

resonantFrequencyGhz:2.45
dielectricPermittivityEpsR:4.4
substrateHeightMm:1.6

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Dominant TM110 mode root χ11' = 1.841183.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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