Generalized ray tracing method for the calculation of the peripheral refraction induced by an ophthalmic lens

Abstract. Peripheral refraction, the refractive error present outside the main direction of gaze, has lately attracted interest due to its alleged relationship with the progression of myopia. The ray tracing procedures involved in its calculation need to follow an approach different from those used in conventional ophthalmic lens design, where refractive errors are compensated only in the main direction of gaze. We present a methodology for the evaluation of the peripheral refractive error in ophthalmic lenses, adapting the conventional generalized ray tracing approach to the requirements of the evaluation of peripheral refraction. The nodal point of the eye and a retinal conjugate surface will be used to evaluate the three-dimensional distribution of refractive error around the fovea. The proposed approach enables us to calculate the three-dimensional peripheral refraction induced by any ophthalmic lens at any direction of gaze and to personalize the lens design to the requirements of the user. The complete evaluation process for a given user prescribed with a −5.76D ophthalmic lens for foveal vision is detailed, and comparative results obtained when the geometry of the lens is modified and when the central refractive error is over- or undercorrected. The methodology is also applied for an emmetropic eye to show its application for refractive errors other than myopia.

[1]  Xin Wei,et al.  Design and validation of a scanning Shack Hartmann aberrometer for measurements of the eye over a wide field of view , 2010, Optics express.

[2]  Padmaja Sankaridurg,et al.  Spectacle Lenses Designed to Reduce Progression of Myopia: 12-Month Results , 2010, Optometry and vision science : official publication of the American Academy of Optometry.

[3]  B. Holden,et al.  Characteristics of peripheral refractive errors of myopic and non-myopic Chinese eyes , 2010, Vision Research.

[4]  D. Mutti,et al.  Refractive error, axial length, and relative peripheral refractive error before and after the onset of myopia. , 2007, Investigative ophthalmology & visual science.

[5]  Dietmar Uttenweiler,et al.  Effects of myopic spectacle correction and radial refractive gradient spectacles on peripheral refraction , 2009, Vision Research.

[6]  Jonathan Winawer,et al.  Homeostasis of Eye Growth and the Question of Myopia , 2012, Neuron.

[7]  Klaus Ehrmann,et al.  A review of peripheral refraction techniques. , 2009, Optometry and vision science : official publication of the American Academy of Optometry.

[8]  W. F. Harris,et al.  Nodes and nodal points and lines in eyes and other optical systems , 2009, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[9]  Bin Wang,et al.  Depth-of-focus of the human eye in the near retinal periphery , 2003, Vision Research.

[10]  Jeffrey Cooper,et al.  Current status on the development and treatment of myopia. , 2012, Optometry.

[11]  K. Ciuffreda,et al.  Under-correction of human myopia--is it myopigenic?: a retrospective analysis of clinical refraction data. , 2014, Journal of optometry.

[12]  Earl L. Smith,et al.  Peripheral vision can influence eye growth and refractive development in infant monkeys. , 2005, Investigative ophthalmology & visual science.

[13]  Mohamed Dirani,et al.  Change in peripheral refraction over time in Singapore Chinese children. , 2011, Investigative ophthalmology & visual science.

[14]  H. Swarbrick,et al.  Effect of Single Vision Soft Contact Lenses on Peripheral Refraction , 2012, Optometry and vision science : official publication of the American Academy of Optometry.

[15]  Bart Jaeken,et al.  Optical quality of emmetropic and myopic eyes in the periphery measured with high-angular resolution. , 2012, Investigative ophthalmology & visual science.

[16]  Molecular high harmonic generation in a two-color field. , 2010, Optics express.

[17]  Brien A. Holden,et al.  The BHVI-EyeMapper: Peripheral Refraction and Aberration Profiles , 2014, Optometry and vision science : official publication of the American Academy of Optometry.

[18]  L. Thibos,et al.  Power Vectors: An Application of Fourier Analysis to the Description and Statistical Analysis of Refractive Error , 1997, Optometry and vision science : official publication of the American Academy of Optometry.

[19]  G E Legge,et al.  Accommodation to stimuli in peripheral vision. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[20]  Orestes N. Stavroudis.  Simpler derivation of the formulas for generalized ray tracing , 1976 .

[21]  Pablo Artal,et al.  Peripheral refractive errors in myopic, emmetropic, and hyperopic young subjects. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  P. Rojo,et al.  Numerical implementation of generalized Coddington equations for ophthalmic lens design , 2014 .

[23]  W Neil Charman,et al.  Myopia and peripheral ocular aberrations. , 2009, Journal of vision.

[24]  David A. Atchison,et al.  Peripheral refraction along the horizontal and vertical visual fields in myopia , 2006, Vision Research.

[25]  Karla Zadnik,et al.  Relative peripheral refractive error and the risk of onset and progression of myopia in children. , 2011, Investigative ophthalmology & visual science.

[26]  M Millodot,et al.  Effect of Ametropia on Peripheral Refraction , 1981, American journal of optometry and physiological optics.

[27]  Edward A H Mallen,et al.  Cross-sectional sample of peripheral refraction in four meridians in myopes and emmetropes. , 2011, Investigative ophthalmology & visual science.

[28]  Andreas Hartwig,et al.  Accommodative response to peripheral stimuli in myopes and emmetropes , 2011, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[29]  D. Mutti,et al.  Peripheral refraction and ocular shape in children. , 2000, Investigative ophthalmology & visual science.

[30]  D. Atchison,et al.  Shape of the retinal surface in emmetropia and myopia. , 2005, Investigative ophthalmology & visual science.

[31]  F Rempt,et al.  Acquired myopia in young pilots. , 1971, Ophthalmologica. Journal international d'ophtalmologie. International journal of ophthalmology. Zeitschrift fur Augenheilkunde.

[32]  Orestes N. Stavroudis.  The Optics of Rays, Wavefronts, and Caustics , 2012 .

[33]  David A. Atchison,et al.  Optics of the Human Eye , 2023 .

[34]  David A Atchison.  Third-Order Theory of Spectacle Lenses Applied to Correction of Peripheral Refractive Errors , 2011, Optometry and vision science : official publication of the American Academy of Optometry.

[35]  Juan Tabernero,et al.  More irregular eye shape in low myopia than in emmetropia. , 2009, Investigative ophthalmology & visual science.

[36]  Li Li,et al.  Peripheral Defocus with Single-Vision Spectacle Lenses in Myopic Children , 2010, Optometry and vision science : official publication of the American Academy of Optometry.

[37]  Bin Wang,et al.  Blur Discrimination of the Human Eye in the Near Retinal Periphery , 2004, Optometry and vision science : official publication of the American Academy of Optometry.

[38]  Jonathan Winawer,et al.  Homeostasis of Eye Growth and the Question of Myopia , 2004, Neuron.

[39]  Norberto López-Gil,et al.  Spherical Aberration and the Sign of Defocus , 2013, Optometry and vision science : official publication of the American Academy of Optometry.

[40]  Holly Price,et al.  Peripheral refractive changes associated with myopia progression. , 2013, Investigative ophthalmology & visual science.