Quick Answer
Calculate Prism Dispersion-Induced Lateral Chromatic Spot Separation
Calculator
Result Interpretation
Prism Dispersion-Induced Lateral Chromatic Spot Separation Calculator computes Lateral chromatic spot separation in m using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Refractive index at wavelength 1 = 1.5168
- Refractive index at wavelength 2 = 1.522
- Focal length of imaging lens = 0.15
- Prism apex angle = 0.349066
Expected Result:
- Lateral chromatic spot separation = 0.00028974527287186
Engineering Interpretation:
Under the given input conditions, the calculated result is: Lateral chromatic spot separation = 0.00028974527287186 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
lateral chromatic spot separation = focal length of imaging lens * (refractive index at wavelength 2 - refractive index at wavelength 1) * prism apex angle / cos(prism apex angle)Formula family: formula_optics_prism_dispersion_induced_chromatic_spot_separation_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| focal_length | Focal length of imaging lens | INPUT | Focal length of imaging lens |
| n_lambda1 | Refractive index at wavelength 1 | INPUT | Refractive index at wavelength 1 |
| n_lambda2 | Refractive index at wavelength 2 | INPUT | Refractive index at wavelength 2 |
| apex_angle_rad | Prism apex angle | INPUT | Prism apex angle |
| lateral_chromatic_separation | Lateral chromatic spot separation | OUTPUT | Lateral chromatic spot separation |
Calculation Steps
- Enter the focal length of imaging lens in m.
- Enter the refractive index at wavelength 1 in 1.
- Enter the refractive index at wavelength 2 in 1.
- Enter the prism apex angle in rad.
- Step 1: Compute lateral chromatic spot separation.
- Read the lateral chromatic spot separation (m) from the results.
Engineering Summary
Calculate Prism Dispersion-Induced Lateral Chromatic Spot Separation
Frequently Asked Questions
What does this calculator calculate?
The Prism Dispersion-Induced Lateral Chromatic Spot Separation Calculator estimates Lateral chromatic spot separation based on the input parameters you provide
Why is focal length of imaging lens important in this calculation?
focal length of imaging lens is directly proportional to lateral chromatic spot separation. When you enter focal length of imaging lens in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result lateral chromatic spot separation?
The calculator outputs lateral chromatic spot separation 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: Focal length of imaging lens (m), Prism apex angle (rad). 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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