Noise analysis of the measurement of group delay in Fourier white-light interferometric cross correlation
نویسنده
چکیده
The problem of noise analysis in measuring the group delay introduced by a dispersive optical element by use of white-light interferometric cross correlation is investigated. Two noise types, detection noise and position noise, are specifically analyzed. Detection noise is shown to be highly sensitive to the spectral content of the white-light source at the frequency considered and to the temporal acquisition window. Position noise, which arises from the finite accuracy of the measurement of the scanning mirror’s position, can severely damage the estimation of the group delay. Such is shown to be the case for fast Fourier transform–based estimation algorithms. A new algorithm that is insensitive to scanning delay errors is proposed, and subfemtosecond accuracy is obtained without any postprocessing. © 2002 Optical Society of America OCIS codes: 140.7090, 120.5050, 260.2030.
منابع مشابه
Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light.
A new method and apparatus for measuring the group delay in optical components and laser cavities are described. Cross-correlational fringes are fully recorded with a Michelson interferometer, in one of whose arms the optics to be measured are inserted. The path difference of the interferometer is calibrated to subwavelength accuracy, and the group delay is calculated from the phase of the Four...
متن کاملA new shape retrieval method using the Group delay of the Fourier descriptors
In this paper, we introduced a new way to analyze the shape using a new Fourier based descriptor, which is the smoothed derivative of the phase of the Fourier descriptors. It is extracted from the complex boundary of the shape, and is called the smoothed group delay (SGD). The usage of SGD on the Fourier phase descriptors, allows a compact representation of the shape boundaries which is robust ...
متن کاملMeasurement of the group-delay dispersion of femtosecond optics using white-light interferometry
A compact and practical white-light cross-correlator suitable for fast evaluation of femtosecond optics, in terms of group-delay dispersion, was developed. A 40-W tungsten-halogen lamp was used as a white-light source and the detector selection was made so as to have adequate spectral sensitivity from 600 to 1050 nm, peaked at 800 nm. Group-delay dispersion was obtained, with femtosecond time r...
متن کاملMeasurement of the intensity and phase of attojoule femtosecond light pulses using Optical-Parametric-Amplification Cross-Correlation Frequency-Resolved Optical Gating.
We use the combination of ultrafast gating and high parametric gain available with Difference-Frequency Generation (DFG) and Optical Parametric Amplification (OPA) to achieve the complete measurement of ultraweak ultrashort light pulses. Specifically, spectrally resolving such an amplified gated pulse vs. relative delay yields the complete pulse intensity and phase vs. time. This technique is a...
متن کاملSpectral interferometry and reflectometry used for characterization of a multilayer mirror.
A white-light spectral interferometric technique is used to retrieve a relative spectral phase and group delay of a multilayer mirror from the spectral interferograms recorded in a dispersive Michelson interferometer. The phase retrieval is based on the use of a windowed Fourier transform in the wavelength domain, and characterization of the multilayer mirror is completed by a three-step measur...
متن کامل