Cristian M. Medina Coca, Brandon D. Sánchez Valencia, Emerson A. González Díaz, José L. Magaña-Chávez, Joel Cervantes Lozano, S. Balderas-Mata
{"title":"泽尼克多项式与圆形贝塞尔函数表示像差波前","authors":"Cristian M. Medina Coca, Brandon D. Sánchez Valencia, Emerson A. González Díaz, José L. Magaña-Chávez, Joel Cervantes Lozano, S. Balderas-Mata","doi":"10.1117/12.2676551","DOIUrl":null,"url":null,"abstract":"This research presents an alternative method to represent aberrated wavefronts based on circular Bessel functions. These wavefronts are obtained by means of a Shack-Hartmann wavefront sensor prototype, which was previously statistical validated according to the official Mexican standard. We show experimental results obtained from two wavefronts aberrated by two ophthalmic trial lenses; one of them has a spherical aberration of -1.0 diopter and the other one has a defocus aberration of +1.0 diopter. Both wavefronts are shown in terms of circular Bessel functions and compared with their corresponding representation in Zernike polynomials.","PeriodicalId":434863,"journal":{"name":"Optical Engineering + Applications","volume":"159 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Zernike polynomials vs circular Bessel functions to represent aberrated wavefronts\",\"authors\":\"Cristian M. Medina Coca, Brandon D. Sánchez Valencia, Emerson A. González Díaz, José L. Magaña-Chávez, Joel Cervantes Lozano, S. Balderas-Mata\",\"doi\":\"10.1117/12.2676551\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This research presents an alternative method to represent aberrated wavefronts based on circular Bessel functions. These wavefronts are obtained by means of a Shack-Hartmann wavefront sensor prototype, which was previously statistical validated according to the official Mexican standard. We show experimental results obtained from two wavefronts aberrated by two ophthalmic trial lenses; one of them has a spherical aberration of -1.0 diopter and the other one has a defocus aberration of +1.0 diopter. Both wavefronts are shown in terms of circular Bessel functions and compared with their corresponding representation in Zernike polynomials.\",\"PeriodicalId\":434863,\"journal\":{\"name\":\"Optical Engineering + Applications\",\"volume\":\"159 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optical Engineering + Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2676551\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical Engineering + Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2676551","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Zernike polynomials vs circular Bessel functions to represent aberrated wavefronts
This research presents an alternative method to represent aberrated wavefronts based on circular Bessel functions. These wavefronts are obtained by means of a Shack-Hartmann wavefront sensor prototype, which was previously statistical validated according to the official Mexican standard. We show experimental results obtained from two wavefronts aberrated by two ophthalmic trial lenses; one of them has a spherical aberration of -1.0 diopter and the other one has a defocus aberration of +1.0 diopter. Both wavefronts are shown in terms of circular Bessel functions and compared with their corresponding representation in Zernike polynomials.