Calculator Form
Example Data Table
| Device | Velocity (m/s) | Wavelength (µm) | Harmonic | TCF (ppm/°C) | Nominal Frequency |
|---|---|---|---|---|---|
| Quartz SAW A | 3158 | 12 | 1 | -35 | 263.166667 MHz |
| LiNbO3 SAW B | 3488 | 10 | 1 | -75 | 348.800000 MHz |
| LiTaO3 SAW C | 3320 | 8 | 1 | -42 | 415.000000 MHz |
| High Harmonic Design | 3488 | 10 | 3 | -75 | 1.046400 GHz |
Formula Used
Fundamental frequency: f₀ = v / λ
Selected harmonic resonance: f = n × f₀
Pitch based wavelength: λ = pitch × multiplier
Temperature adjusted frequency: fᵗ = f × [1 + (TCF × ΔT / 1,000,000)]
Signal period: T = 1 / fᵗ
Angular frequency: ω = 2πfᵗ
Here, v is acoustic velocity, λ is acoustic wavelength, n is harmonic number, TCF is the temperature coefficient of frequency, and ΔT is operating temperature minus reference temperature.
How to Use This Calculator
- Enter a device name if you want labeled output.
- Select direct wavelength mode when periodicity is already known.
- Select pitch mode when pitch must be converted to wavelength.
- Enter acoustic velocity and choose the correct unit.
- Provide wavelength or pitch values in matching units.
- Enter the harmonic number for the target resonance.
- Add TCF and temperatures if thermal drift matters.
- Press the calculate button to show results above the form.
- Use the CSV or PDF buttons to export the result table.
About SAW Devices Resonance Frequency
Why resonance matters
Surface acoustic wave devices are used in filters, sensors, and timing parts. Their performance depends on resonance frequency. A small design change can move the response band. That is why quick frequency checks are useful during planning. This calculator helps estimate resonance from velocity and wavelength. It also includes harmonic and thermal adjustment fields.
Core design relationship
The main idea is simple. Frequency rises when acoustic velocity rises. Frequency also rises when wavelength becomes smaller. Designers often know the substrate velocity first. They may know the acoustic wavelength from the transducer pattern. In other cases, they start from a pitch value. This page supports both paths. That makes the tool more practical for early layout work.
Why harmonics and temperature are included
A real SAW design is rarely checked at one condition only. Higher harmonics may be important in resonators and test structures. Temperature can shift the center point as well. The temperature coefficient of frequency gives a simple first estimate of drift. This tool applies that correction after the nominal value is found. It then reports adjusted frequency, period, and angular frequency.
Helpful for quick engineering reviews
The result table is arranged for review and reporting. You can compare resolved wavelength, selected harmonic, and frequency shift in one place. Export options help when you need a record for design notes. The sample data table also shows realistic input patterns. Use it as a starting template. Then replace the example values with your own substrate and pattern values.
Use it with clear assumptions
Always keep your geometry definition clear. Pitch definitions can differ between layouts and teams. That is why this calculator includes a pitch multiplier. You decide how pitch maps to acoustic wavelength for your structure. If your process data is more detailed, use the direct wavelength mode. That keeps the estimate transparent and easier to audit later.
FAQs
1. What does this calculator compute?
It estimates SAW resonance frequency from acoustic velocity and acoustic wavelength. It also reports harmonic frequency, temperature-adjusted frequency, angular frequency, and signal period.
2. When should I use direct wavelength mode?
Use direct wavelength mode when your acoustic wavelength or IDT periodicity is already known. This is the cleanest option for checking nominal resonance quickly.
3. Why is there a pitch multiplier field?
Different layouts define pitch differently. The multiplier lets you convert your entered pitch into the acoustic wavelength used in the frequency equation.
4. What is TCF in this page?
TCF means temperature coefficient of frequency. It estimates how much frequency shifts per degree of temperature change, usually in parts per million per degree Celsius.
5. Does this replace full electromagnetic or acoustic simulation?
No. It is a fast estimation tool. Final device design still needs detailed modeling, measured material data, and layout-specific verification.
6. Can I use this for high harmonics?
Yes. Enter the harmonic number you want to inspect. The tool multiplies the fundamental frequency by that value and then applies temperature adjustment.
7. Why are my results different from measured hardware?
Measured devices include fabrication tolerances, electrode loading, packaging effects, and substrate variation. This calculator gives a practical first estimate, not a full measured model.
8. What export formats are included?
The page includes CSV export for spreadsheets and PDF export for reports. Both exports use the result table shown after calculation.