{"title":"全息剪切干涉术及其对自由形状表征的意义","authors":"Demetrious Dowdell, Isabella Feraca, Thomas Brown","doi":"10.1117/12.2675532","DOIUrl":null,"url":null,"abstract":"This work explores combining the reference sphere and nulling hologram for freeform measurements by using a nulling reflection hologram in a Fizeau geometry. To do this, we combined standard phase shifting with an iterative algorithm to solve for errors in the phase steps, obtained a phase surface, and ultimately fit it to a set of Zernike polynomials. Preliminary results show that we can characterize a surface via Zernike coefficients using in situ holographic exposures followed by a sequence of interferograms using small (<100μm) values of lateral shear.","PeriodicalId":434863,"journal":{"name":"Optical Engineering + Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Holographic shearing interferometry and its implications for freeform characterization\",\"authors\":\"Demetrious Dowdell, Isabella Feraca, Thomas Brown\",\"doi\":\"10.1117/12.2675532\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work explores combining the reference sphere and nulling hologram for freeform measurements by using a nulling reflection hologram in a Fizeau geometry. To do this, we combined standard phase shifting with an iterative algorithm to solve for errors in the phase steps, obtained a phase surface, and ultimately fit it to a set of Zernike polynomials. Preliminary results show that we can characterize a surface via Zernike coefficients using in situ holographic exposures followed by a sequence of interferograms using small (<100μm) values of lateral shear.\",\"PeriodicalId\":434863,\"journal\":{\"name\":\"Optical Engineering + Applications\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-04\",\"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/10.1117/12.2675532\",\"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/10.1117/12.2675532","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Holographic shearing interferometry and its implications for freeform characterization
This work explores combining the reference sphere and nulling hologram for freeform measurements by using a nulling reflection hologram in a Fizeau geometry. To do this, we combined standard phase shifting with an iterative algorithm to solve for errors in the phase steps, obtained a phase surface, and ultimately fit it to a set of Zernike polynomials. Preliminary results show that we can characterize a surface via Zernike coefficients using in situ holographic exposures followed by a sequence of interferograms using small (<100μm) values of lateral shear.