aberration induced by laser

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1 How is spherical aberration induced by laser refractive surgery? Geunyoung Yoon, PhD 1 Ian Cox, PhD 2 Scott MacRae,, MD 1 1 Department of Ophthalmology, Center for Visual Science University of Rochester, Rochester, NY Bausch & Lomb, Rochester, NY 1469

2 Positive spherical aberration is increased (decreased) after myopic (hyperopic) correction. Change in spherical aberration postop preop (µm) mm pupil R=92% Myopia (n = 32) Hyperopia (n = 17) Attempted correction (D) Oshika et al, Am. J. Ophthalmol., 116, 1-7 (1999) Schwiegerling, Snyder, J. Cataract. Refract. Surg., 26, (2) Moreno-Barriuso et al, IOVS, 42, (21) Llorente et al., ARVO abstract #266 (22)..

3 Holladay et al, J. Cataract. Refract. Surg., 25, (1999) Moreno-Barriuso et al, IOVS, 42, (21) Jimenez et al., J Refr. Surg., 19, (23).. Corneal asphericity is increased after myopic correction. Change in corneal asphericity (p) postop - preop mm pupil R=64% Attempted myopic correction (D)

4 Calculation of change in spherical aberration and corneal asphericity after refractive surgery C postop (r) = C preop (r, roc = 7.8mm, p =.7) - T ablation (r) postop cornea preop cornea C cornea (r, roc, p) = (1/roc) r p (1/roc) 2 r 2 Ablation profile (Munnerlyn algorithm or parabolic approximation) Spherical aberration and corneal asphericity of pre- and post-op cornea (6mm cornea) Change in spherical aberration and corneal asphericity (postop- preop)

5 Spherical aberration change by refractive surgery tends to be opposed to theoretical expectation. Change in spherical aberration (µm) preop cornea: roc = 7.8 mm, p =.7 Clinical data 6 mm cornea Expected from Munnerlyn algorithm -.8 Myopic correction Hyperopic correction Attempted correction (D)

6 Corneal asphericity change by refractive surgery tends to be opposed to theoretical expectation preop cornea: roc = 7.8 mm, p =.7 Change in corneal asphericity (p) Clinical data Myopic correction 6 mm cornea Hyperopic correction Attempted correction (D) Expected from Munnerlyn algorithm

7 Why is there discrepancy between theoretical expectation and clinical observation? Hypothesis #1 Difference in ablation rate due to angular incidence of laser spot onto the cornea. Hypothesis #2 Biomechanical response of the cornea

8 Hypothesis #1: : Difference in ablation rate due to angular incidence of laser spot onto the cornea 11 h = 3mm Laser cornea h Scanning mirror Corneal radius roc θ Ablation efficiency roc = 7.8mm roc = 6.5mm Corneal radius (mm) Mrochen, Seiler, J. Refract. Surg., 17, S584-S587 (21)

9 Spherical aberration change by refractive surgery can be explained by the effect of angular incidence of laser spot. Change in spherical aberration (µm) Clinical data Expected from Munnerlyn algorithm Variable ablation rate Attempted correction (D)

10 Corneal asphericity change by refractive surgery can be explained by the effect of angular incidence of laser spot. Change in corneal asphericity (p) Clinical data Expected from Munnerlyn algorithm Variable ablation rate Attempted correction (D)

11 Hypothesis #2: Biomechanical response of the cornea central flattening and peripheral steepening PreOP cornea PostOP cornea PostOP cornea by biomechanics Central flattening Peripheral steepening

12 Hypothesis #2: Biomechanical response of the cornea central flattening and peripheral steepening Biomechanical response (D) = 7% attempted correction (D) PreOP cornea PostOP cornea PostOP cornea by biomechanics Steepening zone Flattening zone = Optical zone 1mm Steepening zone Optical zone

13 Biomechanical response of the cornea increases (decreases) positive spherical aberration for myopic (hyperopic) corrections..6 Change in spherical aberration (µm) Clinical data Variable ablation rate Attempted correction (D) Variable ablation rate & myopic biomechanics (7%) Variable ablation rate & opposite myopic biomechanics (25%)

14 Biomechanical response of the cornea increases (decreases) corneal asphericity for myopic (hyperopic) correction. Change in corneal asphericity (p) Clinical data Variable ablation rate & myopic biomechanics (7%) Variable ablation rate Variable ablation rate & opposite myopic biomechanics (25%) Attempted correction (D)

15 Munnerlyn vs parabolic approximation change in spherical aberration Change in spherical aberration (µm) Munnerlyn algorithm Variable ablation rate & myopic biomechanics (7%) Variable ablation rate Fixed ablation rate Variable ablation rate & opposite myopic biomechanics (25%) Parabolic approximation Amount of correction (D)

16 Munnerlyn vs parabolic approximation change in corneal asphericity Change in corneal asphericity (p) Munnerlyn algorithm Variable ablation rate & myopic biomechanics (7%) Variable ablation rate Fixed ablation rate Variable ablation rate & opposite -1 myopic biomechanics (25%) Parabolic approximation Amount of correction (D)

17 Customized ablation thickness to achieve a spherical aberration free eye after refractive surgery. Our goal is to create spherical aberration free eye!!! Customized Ablation Profile (r, p pre, roc pre ) = preop cornea - SA free postop cornea (p=.472) + SA lens + SA others (n-1) Ablation efficiency (r, p pre, roc pre )

18 Conclusion The theoretical eye model with taking into account ablation efficiency and corneal biomechnical response can explain how spherical aberration is induced by refractive surgery. Biomechanical response of the cornea in hyperopic correction may be opposite to that in myopic correction. This model can be incorporated into an ablation algorithm to avoid induced amounts of spherical aberration, improving the outcome of both conventional and customized treatments.

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