Interferometric fringe analysis using a single phase step technique

Santoyo, Fernando Mendoza; Kerr, David; Tyrer, John R.

doi:10.1364/ao.27.4362_1

Cited by 24 publications

(8 citation statements)

References 6 publications

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“…In case of phase shifting interferometry (PSI) [9], the shift of the phase of a reference wave in relation to the object wave is exploited to improve the processability of phase information encoded in interference fringes. In this way, the phase resolution can be improved down to values far below λ/2 (half wavelength), the difference of neighboring fringes.…”

Section: Proposal Of An All-optical Phase Step Bessel Autocorrelatormentioning

confidence: 99%

Adaptive Bessel-autocorrelation of ultrashort pulses with phase-only spatial light modulators

Luepke

Böck

Grünwald

2009

Modeling Aspects in Optical Metrology II

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Recently, we proposed a new approach of a noncollinear correlation technique for ultrashort-pulsed coherent optical signals which was referred to as Bessel-autocorrelator (BAC). The BAC-principle combines the advantages of Bessellike nondiffracting beams like stable propagation, angular robustness and self-reconstruction with the principle of temporal autocorrelation. In comparison to other phase-sensitive measuring techniques, autocorrelation is most straightforward and time-effective because of non-iterative data processing. The analysis of nonlinearly converted fringe patterns of pulsed Bessel-like beams reveals their temporal signature from details of fringe envelopes. By splitting the beams with axicon arrays into multiple sub-beams, transversal resolution is approximated. Here we report on adaptive implementations of BACs with improved phase resolution realized by phase-only liquid-crystal-on-silicon spatial light modulators (LCoS-SLMs). Programming microaxicon phase functions in gray value maps enables for a flexible variation of phase and geometry. Experiments on the diagnostics of few-cycle pulses emitted by a mode-locked Ti:sapphire laser oscillator at wavelengths around 800 nm with 2D-BAC and angular tuned BAC were performed. All-optical phase shift BAC and fringe free BAC approaches are discussed.

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Section: Proposal Of An All-optical Phase Step Bessel Autocorrelatormentioning

confidence: 99%

Adaptive Bessel-autocorrelation of ultrashort pulses with phase-only spatial light modulators

Luepke

Böck

Grünwald

2009

Modeling Aspects in Optical Metrology II

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“…The implementation of fast digital filtering and use of parallel processing may allow this technique for real time analysis of ESPI patterns [7,8]. However deciding which alternative spatial technique is better one has to choose between higher accuracy of phase retrieving obtained while using 3 images and better resolution of a single image, simpler and more rapid processing in the case of 2 images.…”

Section: Spatial Phase Stepped Speckle Correlation Methods Fspssomentioning

confidence: 99%

Quantitative Analysis Of Transient Events By ESPI

Kujawińska

Robinson

1990

SPIE Proceedings

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Two new techniques of quantitative analysis of ESPI patterns obtained while testing transient event are presented.The first one uses an exact solution of four intensity equations (speckle patterns), that removes the effect of the random speckle distribution of the phase and the contrast respectively. It gives the possibility of high accuracy phase retrieving if the stability of the system is assured.In the second technique the speckle interferometer is modified by introducing a phase grating between the object and the interferometer. The grating separates three (or two) phase shifted images of object in space . This enables transient condition of an object to be captured while allowing full quantitative phase measurement to be performed. This technique may be used for real time measurements although phase is retrieved with low accuracy. The recomendation for the engineering application of the methods of automatic analysis of ESPI interferograms are given.

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“…Затем к таким голограммам добавлялся шум, характеризующийся Гауссовым распределением на гистограмме. Полученные данные обрабатывались предложенным выше алгоритмом, а также, для срав-нения, ещё и методом единичных фазовых шагов [9]. Для получения итогового распределения фазы в абсо-лютных значениях из полученной разности использо-вался алгоритм ликвидации фазовых разрывов [15].…”

Section: вычисление разности фазовых распределенийunclassified

“…Однако в случае восстановления сильно зашумлённых цифро-вых голограмм предложенный метод обладает значи-тельными преимуществами, что выражается в более низкой НСКО. Стоит отметить, что основной причи-ной резкого увеличения НСКО при использовании ме-тода [9] являются участки фазового распределения, на которых фазовые разрывы не удалось устранить в ре-зультате применения процедуры развёртки [15].…”

Section: вычисление разности фазовых распределенийunclassified

“…при использовании предложенного алгоритма (а), метода [9] (б), зависимость качества восстановления фазы от уровня шумов при использовании алгоритма, предложенного в данной работе (маркеры в виде крестов) и метода, описанного в статье [9] (маркеры в виде точек) (в). Ось х представлена в логарифмическом масштабе Заключение Таким образом, предложенный в данной работе ме-тод позволяет вычислять разность двух произвольных фазовых распределений без предварительного приме-нения процедуры ликвидации имеющихся в них фазо-вых разрывов.…”

Section: рис 4 результат восстановления возмущения в абсолютных знаunclassified

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Method for calculating the dynamic phase delay in holographic interferometry without phase unwrapping

Белашов¹,

Petrov²,

Семенова³

2014

Computer Optics

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A method for calculating the difference between two arbitrary spatial phase distributions reconstructed from digital holograms is presented. The method is promising for application in double-exposure digital holographic interferometry, especially for the evaluation of phase variations in heavily noised or speckle-structure-modulated digital holograms, because it does not use the phase unwrapping procedure for each reconstructed spatial phase distribution. Instead, by analogy with classical double-exposure holographic interferometry, an interference pattern formed by two reconstructed object waves is calculated first. The interferogram thus obtained is then processed as a digital hologram by the same method that was used for reconstruction of physically recorded holograms. The advantages of the proposed method are demonstrated by both by the numerical computation of the difference of the phase distributions of speckle-structure-modulated wavefronts and the experimental observation of the laser-induced temperature gradients in an aqueous solution of a photosensitizer.

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Interferometric fringe analysis using a single phase step technique

Cited by 24 publications

References 6 publications

Adaptive Bessel-autocorrelation of ultrashort pulses with phase-only spatial light modulators

Adaptive Bessel-autocorrelation of ultrashort pulses with phase-only spatial light modulators

Quantitative Analysis Of Transient Events By ESPI

Method for calculating the dynamic phase delay in holographic interferometry without phase unwrapping

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