dorsal/arxiv
View SchemaReducing of phase retrieval errors in Fourier analysis of 2-dimensional digital model interferograms
| Authors | Jadranko Gladic, Zlatko Vucic, Davorin Lovric |
|---|---|
| Categories | |
| ArXiv ID | physics/0609167 |
| URL | https://arxiv.org/abs/physics/0609167 |
| DOI | 10.1016/j.optlaseng.2007.01.006 |
| Journal | Optics and Lasers in Engineering 45 (2007) 868-876 |
Abstract
In order to measure the radial displacements of facets on surface of a growing spherical Cu_{2-\delta}Se crystal with sub-nanometer resolution, we have investigated the reliability and accuracy of standard method of Fourier analysis of fringes obtained applying digital laser interferometry method. Guided by the realistic experimental parameters (density and orientation of fringes), starting from 2-dimensional model interferograms and using unconventional custom designed Gaussian filtering window and unwrapping procedure of the retrieved phase, we have demonstrated that for considerable portion of parameter space the non-negligible inherent phase retrieval error is present solely due to non-integer number of fringes within the digitally recorded image (using CCD camera). Our results indicate the range of experimentally adjustable parameters for which the generated error is acceptably small. We also introduce a modification of the (last part) of the usual phase retrieval algorithm which significantly reduces the error in the case of small fringe density.
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"abstract": "In order to measure the radial displacements of facets on surface of a\ngrowing spherical Cu_{2-\\delta}Se crystal with sub-nanometer resolution, we\nhave investigated the reliability and accuracy of standard method of Fourier\nanalysis of fringes obtained applying digital laser interferometry method.\nGuided by the realistic experimental parameters (density and orientation of\nfringes), starting from 2-dimensional model interferograms and using\nunconventional custom designed Gaussian filtering window and unwrapping\nprocedure of the retrieved phase, we have demonstrated that for considerable\nportion of parameter space the non-negligible inherent phase retrieval error is\npresent solely due to non-integer number of fringes within the digitally\nrecorded image (using CCD camera). Our results indicate the range of\nexperimentally adjustable parameters for which the generated error is\nacceptably small. We also introduce a modification of the (last part) of the\nusual phase retrieval algorithm which significantly reduces the error in the\ncase of small fringe density.",
"arxiv_id": "physics/0609167",
"authors": [
"Jadranko Gladic",
"Zlatko Vucic",
"Davorin Lovric"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/j.optlaseng.2007.01.006",
"journal_ref": "Optics and Lasers in Engineering 45 (2007) 868-876",
"title": "Reducing of phase retrieval errors in Fourier analysis of 2-dimensional digital model interferograms",
"url": "https://arxiv.org/abs/physics/0609167"
},
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