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Fluctuations in angle lambda with the pupil diameter and correlations with biometric values in a healthy population
Maxence Rateaux1,2, Alienor Vienne-Jumeau1,2,3, Dominique Bremond-Gignac1,4
1Ophthalmology Department, University Hospital Necker-Enfants Malades, APHP, Paris, France.
Summary
Angle lambda (λ) varies with luminance levels due to pupil diameter changes. This angle correlates with biometric values like axial length and anterior chamber depth.
Area of Science:
- Ophthalmology
- Optometry
- Biomedical Optics
Background:
- Angle lambda (λ) is the angle between the line of sight and pupillary axis at the entrance pupil.
- Previous methods for measuring angle λ were adapted for daily practice.
- Angle λ is known to fluctuate with age and refractive error.
Purpose of the Study:
- To investigate correlations between angle lambda (λ) and biometric values.
- To analyze the effects of pupil dilation and entrance pupil location on angle λ.
- To test the hypothesis that angle λ varies with luminance levels due to changes in pupil diameter.
Main Methods:
- Angle λ was measured under photopic and scotopic luminance conditions in 70 participants.
- Axial length, anterior chamber depth, chord μ, and optic disc to fovea distance (OFD) were measured.
- Pupil centre offset was quantified using digital analysis.
Main Results:
- Mean photopic angle λ was +2.81° and scotopic angle λ was +3.30°.
- Negative correlations were found between angle λ and axial length, anterior chamber depth, and OFD.
- Positive correlations were found between angle λ and spherical equivalent or chord μ. Pupil offset was negatively correlated with angle λ.
Conclusions:
- Angle λ is confirmed to be correlated with biometric values.
- Variations in pupil diameter due to luminance levels induce changes in angle λ.
- A single subject exhibits multiple angle λ values depending on the luminance condition.

