Quick Answer
The resonance wavelength shift due to thermal crosstalk in silicon photonic ring resonators calculator computes resonance wavelength shift from the input values you provide.
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Find Engineering Solutions →Result Interpretation
Resonance Wavelength Shift Due to Thermal Crosstalk in Silicon Photonic Ring Resonators calculator computes Resonance wavelength shift in m using the defined engineering formula and the input values provided. Resonance wavelength shift is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Thermo-optic coefficient = 0.000186
- Thermal expansion coefficient contribution to wavelength shift = 1.0E-6
- Effective refractive index = 2.35
- Effective optical path length = 0.0012
- Temperature rise due to thermal crosstalk = 5
Expected Result:
- Resonance wavelength shift = 2.4044680851064E-7
Engineering Interpretation:
Under the given input conditions, the calculated result is: Resonance wavelength shift = 2.4044680851064E-7 m.
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
resonance wavelength shift = (thermo-optic coefficient * temperature rise due to thermal crosstalk + effective refractive index * thermal expansion coefficient contribution to wavelength shift * temperature rise due to thermal crosstalk) * effective optical path length / (2 * effective refractive index)Resonance wavelength shift.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| dn_dT | Thermo-optic coefficient | INPUT | Thermo-optic coefficient |
| dLambda_dT | Thermal expansion coefficient contribution to wavelength shift | INPUT | Thermal expansion coefficient contribution to wavelength shift |
| n_eff | Effective refractive index | INPUT | Effective refractive index |
| L_eff | Effective optical path length | INPUT | Effective optical path length |
| delta_T | Temperature rise due to thermal crosstalk | INPUT | Temperature rise due to thermal crosstalk |
| resonance_wavelength_shift | Resonance wavelength shift | OUTPUT | Resonance wavelength shift |
Calculation Steps
- Enter the thermo-optic coefficient in 1/K.
- Enter the thermal expansion coefficient contribution to wavelength shift in m/(m·K).
- Enter the effective refractive index in 1.
- Enter the effective optical path length in m.
- Enter the temperature rise due to thermal crosstalk in K.
- Step 1: Compute resonance wavelength shift.
- Read the resonance wavelength shift (m) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Resonance Wavelength Shift Due to Thermal Crosstalk in Silicon Photonic Ring Resonators calculator estimates Resonance wavelength shift based on the input parameters you provide
Why is thermo-optic coefficient important in this calculation?
thermo-optic coefficient is directly proportional to resonance wavelength shift. When you enter thermo-optic coefficient in 1/K, the calculator uses it in the engineering formula to compute the output
How should I interpret the result resonance wavelength shift?
The calculator outputs resonance wavelength shift in m. 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: Thermo-optic coefficient (1/K), Thermal expansion coefficient contribution to wavelength shift (m/(m·K)), Effective optical path length (m), Temperature rise due to thermal crosstalk (K). 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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