Wavefront optics for vision correction / Guang-ming Dai.

Format:

Book

Author/Creator:

Dai, Guang-ming, author.

Contributor:

Society of Photo-Optical Instrumentation Engineers.

Series:

SPIE monograph ; PM179.

SPIE Press monograph ; PM179

Language:

English

Subjects (All):

Optics, Adaptive.

Physical Description:

1 online resource (xvi, 347 pages) : illustrations, digital file.

Place of Publication:

Bellingham, Wash. : SPIE, 2008.

System Details:

Mode of access: World Wide Web.

text file

Summary:

This book addresses some of the issues in visual optics with a functional analysis of ocular aberrations, especially for the purpose of vision correction. The basis is the analytical representation of ocular aberrations with a set of orthonormal polynomials, such as Zernike polynomials or the Fourier series. Although the aim of this book is the application of wavefront optics to laser vision correction, most of the theories discussed are equally applicable to other methods of vision correction, such as contact lenses and intraocular lenses.

Contents:

1. Introduction. 1.1. Wavefront optics and vision correction

1.2. Purpose and structure of the book

Bibliography

2. Fundamentals of ocular wavefront correction

2.1. Principle of phase conjugation

2.2. Munnerlyn equation

2.3. Principle of customized laser vision correction

2.4. Principle of Excimer laser ablation of the cornea

2.5. Fine-tuning ablation profiles

Appendix A. Derivation of the Munnerlyn equation

Appendix B. Derivation of laser energy loss due to reflection

3. Ocular wavefront representation

3.1. Orthonormal polynomials and their merits

3.2. Geometrical aberrations and power series

3.3. Zernike polynomials

3.4. Other basis functions for ocular aberrations

3.5. Refractive laser profiles

Appendix A. Orthonormal polynomials and related properties

Appendix B. Determination of orthonormal polynomials

Appendix C. Properties of the inner product of polynomials

Appendix D. Zernike polynomials up to the th order

Appendix E. Aberration balancing of orthonormal polynomials

Appendix F. Derivation of Fourier transform of Zernike polynomials

Appendix G. Examination of the Munnerlyn equation

Bibliography.

4. Ocular wavefront sensing and reconstruction

4.1. Wavefront slopes

4.2. Ocular wavefront sensing methods

4.3. Wavefront reconstruction methods

4.4. Non-fourier-based modal reconstruction

4.5. Fourier-based modal reconstruction

Appendix A. Wavefront tilts and image displacement

Appendix B. Matlab code for zonal reconstruction

Appendix C. Matlab code for Zernike reconstruction

Appendix D. Derivation of equinox (4.28)

5. Ocular wavefront conversion

5.1. General discussion of wavefront conversion

5.2. Conversions of Zernike polynomials and Seidel series

5.3. Conversions of Zernike polynomials and Fourier series

5.4. Conversions of Taylor monomials and Zernike polynomials

5.5. Conversions of Fourier series and Taylor monomials

Appendix A. Derivation of Eq. (5.3)

Appendix B. Derivation of Eqs. (5.6) and (5.7)

Appendix C. Derivation of conversion matrices Cs2z and Cz2s

Appendix D. Proof of Eq. (5.15)

Appendix E. Derivation of conversion matrices Ct2z and Cz2t

Appendix F. Matlab code for conversions of Zernike and Taylor

Appendix G. Derivation of Qq/p(k,c)

6. Ocular wavefront transformation

6.1. Wavefront transformation and iris registration

6.2. Wavefront representation for pupil resizing

6.3. Wavefront representation for cyclorotation

6.4. Wavefront representation for decentration

6.5. Wavefront representation for resizing, rotation, and decentration

Appendix A. Derivation of Eq. (6.19)

Appendix B. Zernike resizing polynomials

Appendix C. Derivation of Eq. (6.27)

Appendix D. Derivation of Eq. (6.28)

Appendix E. Derivation of equinox (6.32)

Appendix F. Matlab code for geometrical transformations

7. Ocular wavefront propagation

7.1. Review of some eye models

7.2. Classical vertex correction

7.3. Propagation of ocular wavefronts

7.4. Wavefront propagation of common aberrations

Appendix A. Proof of equinox (7.23)

Appendix B. Derivation of equinox (7.39)

Appendix C. Matlab code for wavefront propagation

Appendix D. Proof of equinox (7.52) from wavefront propagation

8. Optical metrics of ocular wavefronts

8.1. Pupil plane metrics for ocular aberrations

8.2. Image plane metrics for ocular aberrations

8.3. Visual performance metrics

8.4. Simulation of visual outcomes

Appendix A. Derivation of equinox (8.9)

Appendix B. Derivation of equinox (8.28)

Appendix C. Matlab code for calculation of point spread functions

9. Clinical results of wavefront-driven refractive surgery

9.1. Statistics of ocular aberrations

9.2. Treatment validation

9.3. Wavefront-driven myopic correction

9.4. Wavefront-driven hyperopic correction

Author index

Subject index.

Notes:

"SPIE digital library."

Includes bibliographical references and indexes.

ISBN:

9780819478412

OCLC:

435971876

Access Restriction:

Restricted for use by site license.