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Öğe 3D Profile Measurements of Objects by Using Zero Order Generalized Morse Wavelet(Amer Inst Physics, 2017) Kocahan, Ozlem; Durmus, Cagla; Elmas, Merve Naz; Coskun, Emre; Tiryaki, Erhan; Ozder, SerhatGeneralized Morse wavelets are proposed to evaluate the phase information from projected fringe pattern with the spatial carrier frequency in the x direction. The height profile of the object is determined through the phase change distribution by using the phase of the continuous wavelet transform. The phase distribution is extracted from the optical fringe pattern choosing zero order Generalized Morse Wavelet (GMW) as a mother wavelet. In this study, standard fringe projection technique is used for obtaining images. Experimental results for the GMW phase method are compared with the results of Morlet and Paul wavelet transform.Öğe A Simulation Study for Determination of Refractive Index Dispersion of Dielectric Film from Reflectance Spectrum by Using Paul Wavelet(Amer Inst Physics, 2017) Tiryaki, Erhan; Coskun, Emre; Kocahan, Ozlem; Ozder, SerhatIn this work, the Continuous Wavelet Transform (CWT) with Paul wavelet was improved as a tool for determination of refractive index dispersion of dielectric film by using the reflectance spectrum of the film The reflectance spectrum was generated theoretically in the range of 0.8333 - 3.3333 mu m wavenumber and it was analyzed with presented method. Obtained refractive index determined from various resolution of Paul wavelet were compared with the input values, and the importance of the tunable resolution with Paul wavelet was discussed briefly. The noise immunity and uncertainty of the method was also studied.Öğe An Improved Method For Determination Of Refractive Index Of Absorbing Films: A Simulation Study(Amer Inst Physics, 2017) Ozcan, Seckin; Coskun, Emre; Kocahan, Ozlem; Ozder, SerhatIn this work an improved version of the method presented by Gandhi was presented for determination of refractive index of absorbing films. In this method local maxima of consecutive interference order in transmittance spectrum are used. The method is based on the minimizing procedure leading to the determination of interference order accurately by using reasonable Cauchy parameters. It was tested on theoretically generated transmittance spectrum of absorbing film and the details of the minimization procedure were discussed.Öğe An Improved Method For The Determination Of Birefringence Dispersion Of Liquid Crystal Cell: A Simulation Study(Amer Inst Physics, 2016) Ozcan, Seckin; Coskun, Emre; Kocahan, Ozlem; Ozder, SerhatAn improved approach to determine the birefringence dispersion of a liquid crystal cell was presented. Using the local maxima or minima of the transmittance spectrum of liquid crystal cell is a very convenient method for this aim with the proviso that at least one birefringence value must be known in advance from which the interference orders corresponding to maxima or minima are determined. Presented approach overcomes this problem. The improved method was based on the minimizing procedure leading to the determination of interference order and Cauchy parameters accurately. It was tested on a theoretically generated transmittance spectrum of liquid crystal cell and the details of the fitting procedure were discussed.Öğe Determination of birefringence dispersion in nematic liquid crystals by using an S-transform(Optical Soc Amer, 2007) Ozder, Serhat; Coskun, Emre; Koysal, Oguz; Kocahan, OzlemAn analysis of the transmittance signal of the 5CB-coded nematic liquid crystal by using an S-transform is presented. The transmittance spectrum of this liquid crystal is acquired in the 1.26-2.22 mu m(-1) region at room temperature. The dispersion curve of birefringence is obtained for 5CB by this analysis, and data are fitted to the Cauchy formula, whereby the dispersion parameters are extracted. The result is found to be in favorable accordance with the Merck catalog value. (c) 2007 Optical Society of America.Öğe Determination of phase from the ridge of CWT using generalized Morse wavelet(Iop Publishing Ltd, 2018) Kocahan, Ozlem; Tiryaki, Erhan; Coskun, Emre; Ozder, SerhatThe selection of wavelet is an important step in order to determine the phase from the fringe patterns. In the present work, a new wavelet for phase retrieval from the ridge of continuous wavelet transform (CWT) is presented. The phase distributions have been extracted from the optical fringe pattern by choosing the zero order generalized morse wavelet (GMW) as a mother wavelet. The aim of the study is to reveal the ways in which the two varying parameters of GMW affect the phase calculation. To show the validity of this method, an experimental study has been conducted by using the diffraction phase microscopy (DPM) setup; consequently, the profiles of red blood cells have been retrieved. The results for the CWT ridge technique with GMW have been compared with the results for the Morlet wavelet and the Paul wavelet; the results are almost identical for Paul and zero order GMW because of their degree of freedom. Also, for further discussion, the Fourier transform and the Stockwell transform have been applied comparatively. The outcome of the comparison reveals that GMWs are highly applicable to the research in various areas, predominantly biomedicine.Öğe Generalized Morse wavelet for the determination of the birefringence of a liquid crystal cell(Iop Publishing Ltd, 2015) Kocahan, Ozlem; Coskun, Emre; Ozder, SerhatThe generalized Morse wavelet (GMW) was improved as an alternative tool to determine the birefringence dispersion of a liquid crystal (LC) material by using the transmittance spectrum. The GMW has two degrees of freedom and the advantage of this additional degree of freedom was clearly exhibited in the simulation study. The validity of the presented method was shown by using the transmittance spectrum of the ZLI-6000 coded nematic LC and the acquired results were compared with the results of other methods. The noise immunity and uncertainty of the presented method were also studied.Öğe Optical phase distribution evaluation by using an S-transform(Optical Soc Amer, 2007) Ozder, Serhat; Kocahan, Ozlem; Coskun, Emre; Goktas, HilalAn experimental study of the use of an S-transform to evaluate the phase distribution from a two-dimensional fringe pattern by introducing the carrier frequencies in two spatial directions, x and y, is presented. The phase distribution is extracted from the optical fringe pattern by using an S-transform gradient and S-transform phase methods. The experimental result for the Fourier transform profilometry algorithm is compared with the results of the S-transform. analysis. (c) 2007 Optical Society of AmericaÖğe Optical Phase Distribution Evaluation by Using Zero Order Generalized Morse Wavelet(Amer Inst Physics, 2017) Kocahan, Ozlem; Elmas, Merve Naz; Durmus, Cagla; Coskun, Emre; Tiryaki, Erhan; Ozder, SerhatWhen determining the phase from the projected fringes by using continuous wavelet transform (CWT), selection of wavelet is an important step. A new wavelet for phase retrieval from the fringe pattern with the spatial carrier frequency in the x direction is presented. As a mother wavelet, zero order generalized Morse wavelet (GMW) is chosen because of the flexible spatial and frequency localization property, and it is exactly analytic. In this study, GMW method is explained and numerical simulations are carried out to show the validity of this technique for finding the phase distributions. Results for the Morlet and Paul wavelets are compared with the results of GMW analysis.Öğe Profile Measurement of Objects by Using Stockwell and Continuous Wavelet Transforms(IEEE, 2008) Kocahan, Ozlem; Coskun, Emre; Oezder, SerhatIn this study, 3D profile measurements of objects are tested with integral transforms by using a standard fringe projection technique consisting of a CCD (charge-coupled device) camera and a projector. The surface profile of a rough object is studied experimentally with crossed optical axes geometry. A two dimensional fringe pattern by introducing the carrier frequencies in two spatial directions, x and y, is analyzed with S-transform and continuous wavelet transform based on Model wavelet algorithms. Phase gradient and phase methods are presented for continuous wavelet transform (CWT) and S-transform of the fringe pattern. At the end, results of experimental application of these techniques are compared.Öğe Quantitative Phase Imaging of Red Blood Cell by Diffraction Phase Microscopy(IEEE, 2017) Kocahan, Ozlem; Tiryaki, Erhan; Durmus, Cagla; Elmas, Merve Naz; Coskun, Emre; Ozder, SerhatDiffraction phase microscopy maintains the single shot measurement and low speckle noise associated with white light. A microscope with halogen lamp and a Mach-Zehnder interferometer were combined to obtain images of red blood cell with fringe pattern. From these images, the phase values were retrieved by using continuous wavelet transform (CWT) phase method. In the analysis of CWT, Paul wavelet is chosen as a mother wavelet. Experimental results of the CWT phase method with Paul wavelet are discussed at the end of the study.Öğe Simultaneous determination of the thickness and refractive index dispersion of dielectric films by the Paul wavelet transform(Elsevier Science Sa, 2019) Ozcan, Seckin; Coskun, Emre; Kocahan, Ozlem; Ozder, SerhatThe continuous wavelet transform with Paul wavelet was proposed as a method for the simultaneous determination of physical thickness and refractive index dispersion of dielectric films in the visible and near infrared region. Transmittance spectrums, acquired at two different incident angles, were used for the calculations. By this way refractive index dispersion was obtained without knowing the film thickness. The method was tested with simulated data and experimentally applied to a sample of borosilicate glass. The obtained thickness and refractive index dispersion values were compared to the values obtained by the envelope method and the ones provided by the manufacturer.Öğe The generalized Morse wavelet method to determine refractive index dispersion of dielectric films(Iop Publishing Ltd, 2017) Kocahan, Ozlem; Ozcan, Seckin; Coskun, Emre; Ozder, SerhatThe continuous wavelet transform (CWT) method is a useful tool for the determination of refractive index dispersion of dielectric films. Mother wavelet selection is an important factor for the accuracy of the results when using CWT. In this study, generalized Morse wavelet (GMW) was proposed as the mother wavelet because of having two degrees of freedom. The simulation studies, based on error calculations and Cauchy Coefficient comparisons, were presented and also the noisy signal was tested by CWT method with GMW. The experimental validity of this method was checked by D263 T schott glass having 100 mu m thickness and the results were compared to those from the catalog value.Öğe The zero order generalized Morse wavelet method to determine the refractive index and extinction coefficient dispersions of an absorbing film(Elsevier Science Sa, 2019) Kocahan, Ozlem; Coskun, Emre; Tiryaki, Erhan; Ozder, SerhatThe zero order generalized Morse wavelet was proposed as a method to determine the refractive index and extinction coefficient dispersions of an absorbing thin film in the visible and near infrared regions at room temperature. The generalized Morse wavelet has two degree of freedom and the advantages and disadvantages of additional degree of freedom were discussed in the simulation works. The simulation studies were based on the mean relative error and Cauchy coefficients comparisions, and accuracy of the calculated refractive index was improved by the presented method, were compared with the Morlet wavelet and Paul wavelet. Also, the noise immunity of the method was discussed. The experimental validity of the method was tested on a cadmium sulfide absorbing thin film and the calculated refractive index were cross checked with the value of envelope method and literature.