Isoplanatic Field Margin

Compare a requested correction field with the measured isoplanatic angle.

Description

Isoplanatic field margin compares a requested angular radius with a supplied isoplanatic angle.

Isoplanatic field margin compares a requested angular radius with a supplied isoplanatic angle. The ratio summarizes relative field size.1

Compare a requested correction field with the measured isoplanatic angle.

When to use Isoplanatic Field Margin

Use this tool to compare a requested correction field with the measured isoplanatic angle.

Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.

How to use Isoplanatic Field Margin and understand its results

  1. Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
  2. Enter isoplanaticAngleArcseconds, requestedFieldRadiusArcseconds using the field table and calculation rules, then run the tool.
  3. Read angularMarginArcseconds, fieldToIsoplanaticRatio, withinIsoplanaticField. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
isoplanaticAngleArcsecondsIsoplanatic angle (arcsec)number; minimum: 0Required
requestedFieldRadiusArcsecondsRequested field radius (arcsec)number; minimum: 0Required

Enter positive isoplanatic angle and nonnegative requested radius in arcseconds. Return margin, ratio and inclusive field flag.

margin=isoplanatic−requested; ratio=requested/isoplanatic

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
angularMarginArcsecondsAngular correction margin (arcsec)number
fieldToIsoplanaticRatioField-to-isoplanatic rationumber; minimum: 0
withinIsoplanaticFieldWithin isoplanatic fieldboolean
json
{
  "input": {
    "isoplanaticAngleArcseconds": 10,
    "requestedFieldRadiusArcseconds": 8
  },
  "output": {
    "angularMarginArcseconds": 2,
    "fieldToIsoplanaticRatio": 0.8,
    "withinIsoplanaticField": true
  }
}

Limitations and assumptions

No altitude turbulence profile, Strehl map or guide-star geometry is calculated.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use MCAO Field Coverage: Estimate MCAO corrected area and science-field coverage. For a complementary task, use Fried Seeing Conversion: Convert Fried parameter to seeing angle at a supplied wavelength.

References

  1. Isoplanatic Field Margin — tool.io

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