By Guang-ming (George) Dai
This e-book addresses a few of the concerns in visible optics with a useful research of ocular aberrations, specially for the aim of imaginative and prescient correction. the root is the analytical illustration of ocular aberrations with a suite of orthonormal polynomials, resembling Zernike polynomials or the Fourier sequence.
even supposing the purpose of this publication is the appliance of wavefront optics to laser imaginative and prescient correction, many of the theories mentioned are both appropriate to different tools of imaginative and prescient correction, corresponding to touch lenses and intraocular lenses.
Contents
- Preface
- Symbols, Notations, and Abbreviations
- Introduction
- basics of Ocular Wavefront Correction
- Ocular Wavefront Representation
- Ocular Wavefront Sensing and Reconstruction
- Ocular Wavefront Conversion
- Ocular Wavefront Transformation
- Ocular Wavefront Propagation
- Optical Metrics of Ocular Wavefronts
- scientific result of Wavefront-Driven Refractive Surgery
- writer Index
- topic Index
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Extra resources for Wavefront Optics for Vision Correction
Example text
1, 2] If we want to know how much a wavefront fluctuates, then we need to use the last property of the orthonormal polynomials. The wavefront RMS error can be calculated as a whole, or as groups, owing to the first property. For example, we can calculate the total RMS error by calculating the square root of the sum of squares of all expansion coefficients. We can also calculate the high-order RMS by concentrating only on the coefficients of the high-order polynomials. Again, if the set of polynomials is not orthonormal, separation of RMS error into different groups is not meaningful.
Therefore, it can be calculated as NQ = L2 − r2 . A2) Line TQ is a side of a right triangle GTQ. So it can be calculated as TQ = L2 − (O/2)2 . A3) Similarly, TP is a side of a right triangle GTP. Therefore, it can be calculated as TP = R12 − (O/2)2 . A4) Before the ablation, the refraction is assumed to be S diopters. After the ablation, the refractive error is expected to be zero. From the thin lens formula, we have 28 Chapter 2. Fundamentals of Ocular Wavefront Correction S = (n − 1) 1 1 − . A5) Note that because L > R1 for myopic eyes, S becomes negative, indicating a minus or myopic power.
Another way is to recalibrate the laser beam energy after the equilibrium of ozone is reached. Finally, the energy decay due to the ozone formation can be calculated accurately, and the ablation equation in Eq. 3) can be modified accordingly. 5 Compensation of Corneal Biomechanics and Healing With a very precise excimer laser and an excellent ablation algorithm, can we correct all ocular aberrations if all the aforementioned issues are addressed? The answer is no. [21, 22] In general, when the preoperative high-order root mean square (RMS) error of the aberrations is low, ocular aberrations tend to increase after surgery.