Description
Circular beam footprint normal to the optical axis, with full beam angle in radians.
A production plan combines stage geometry, cue times, movement distances, material dimensions, and explicit scheduling or accounting rules. Signed margins reveal surplus or deficit under the chosen model. Physical clearances, execution variability, and governing requirements can require checks beyond one arithmetic term.
Circular beam footprint normal to the optical axis, with full beam angle in radians.
When to use this tool
Use Followspot Beam Footprint Distance Factor when you need this specific stage, cue, material, timing, count, or fee term under supplied production assumptions.
How to use the tool and how it works
- Enter distance, fullBeamAngle. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read radius, diameter. Use the output convention below.
For nonnegative distance and fullBeamAngle in [0,pi) return radius=distance*tan(fullBeamAngle/2) and diameter=2*radius.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| distance | Length in the common measurement unit. | Required. Finite number; minimum 0. |
| fullBeamAngle | Full beam angle in radians; not the half angle. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| radius | Radius | Required. Finite number. |
| diameter | Diameter | Required. Finite number. |
{
"input": {
"distance": 10,
"fullBeamAngle": 1.5707963267948966
},
"output": {
"radius": 9.999999999999998,
"diameter": 19.999999999999996
}
}Limitations and assumptions
- FullBeamAngle uses radians and distance is along the beam axis to a perpendicular target plane. No oblique footprint, optical edge definition, illumination level, heat load, or lighting safety is assessed.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete production schedule or equipment/layout assessment when one margin is insufficient. Check units, timing conventions, tolerances, and physical constraints before combining terms.
References
Similar or alternative tools
- Stage Entrance Crossing Distance Factor
Straight-line planar crossing estimate at constant caller-supplied speed.
- Stage Mark Distance
For positive suppliedScale return distance=hypot(secondX-firstX,secondY-firstY)*suppliedScale.