Synthesis of Multi-Wavelength Temporal Phase-Shifting Algorithms Optimized for High Signal-To-Noise Ratio and High Detuning Robustness Using the Frequency Transfer Function

Synthesis of single-wavelength temporal phase-shifting algorithms (PSA) for interferometry is well-known and firmly based on the frequency transfer function (FTF) paradigm. Here we extend the singlewavelength FTF-theory to dual and multi-wavelength PSA-synthesis when several simultaneous laser-color...

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Detalles Bibliográficos
Autores: MANUEL SERVIN GUIRADO, JOSE MOISES PADILLA MIRANDA
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:México
Institución:Centro de Investigaciones en Óptica
Repositorio:Repositorio Institucional CIO
OAI Identifier:oai:cio.repositorioinstitucional.mx:1002/496
Acceso en línea:http://cio.repositorioinstitucional.mx/jspui/handle/1002/110
http://cio.repositorioinstitucional.mx/jspui/handle/1002/496
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/cti/1
Descripción
Sumario:Synthesis of single-wavelength temporal phase-shifting algorithms (PSA) for interferometry is well-known and firmly based on the frequency transfer function (FTF) paradigm. Here we extend the singlewavelength FTF-theory to dual and multi-wavelength PSA-synthesis when several simultaneous laser-colors are present. The FTF-based synthesis for dual-wavelength (DW) PSA is optimized for high signal-to-noise ratio and minimum number of temporal phase-shifted interferograms. The DW-PSA synthesis herein presented may be used for interferometric contouring of discontinuous industrial objects. Also DW-PSA may be useful for DW shop-testing of deep free-form aspheres. As shown here, using the FTFbased synthesis one may easily find explicit DW-PSA formulae optimized for high signal-to-noise and high detuning robustness. To this date, no general synthesis and analysis for temporal DW-PSAs has been given; only ad hoc DW-PSAs formulas have been reported. Consequently, no explicit formulae for their s