Relevant bibliographies by topics / Apodization function

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Academic literature on the topic 'Apodization function'

Author: Grafiati
Published: 5 June 2025
Last updated: 24 June 2025

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Journal articles on the topic "Apodization function"

1

Alsharef, Mohammad1, S. Alzaidi1 Mohammed, M. A. Eid1 Mahmoud, et al. "First order surface grating fiber coupler under the period chirp and apodization functions variations effects." Indonesian Journal of Electrical Engineering and Computer Science 25, no. 2 (2022): 1020–29. https://doi.org/10.11591/ijeecs.v25.i2.pp1020-1029.

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The paper has demonstrated the first order surface grating fiber coupler under the period chirp and apodization functions variations effects. The Fiber coupler transmittivity/reflectivity, the fiber coupler grating index change and the fiber coupler mesh transmission cross-section are clarified against the grating length with the quadratic/cubic root period chirp and Gaussian/uniform apodization functions. The fiber coupler delay and dispersion are simulated and demonstrated with grating wavelength with quadratic/cubic root period chirp and Gaussian/uniform apodization function. As well as the fiber coupler output pulse intensity is simulated against the time period with the quadratic/cubic root period chirp and Gaussian/uniform apodization function. The fiber coupler peak intensity variations against the transmission range variations is also demonstrated by OptiGrating simulation software.
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Andra, Naresh Kumar Reddy, Udaya Laxmi Sriperumbudur, and Karuna Sagar Dasari. "Corollaries of Point Spread Function with Asymmetric Apodization." International Journal of Optics 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/1347071.

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Primary energy based corollaries of point spread function with asymmetric apodization using complex pupil function have been studied in the case of three-zone aperture. Merit function like semicircled energy factor, excluded semicircled energy, and displaced semicircled energy were analyzed with respect to Airy case in terms of phase and amplitude apodization. Analytical results have been presented for the optimum parameters of phase and amplitude asymmetric apodization.
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Mohammad, Alsharef, Mohammed S. Alzaidi, Mahmoud M. A. Eid, et al. "First order surface grating fiber coupler under the period chirp and apodization functions variations effects." Indonesian Journal of Electrical Engineering and Computer Science 25, no. 2 (2022): 1020. http://dx.doi.org/10.11591/ijeecs.v25.i2.pp1020-1029.

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<p>The paper has demonstrated the first order surface grating fiber coupler under the period chirp and apodization functions variations effects. The Fiber coupler transmittivity/reflectivity, the fiber coupler grating index change and the fiber coupler mesh transmission cross-section are clarified against the grating length with the quadratic/cubic root period chirp and Gaussian/uniform apodization functions. The fiber coupler delay and dispersion are simulated and demonstrated with grating wavelength with quadratic/cubic root period chirp and Gaussian/uniform apodization function. As well as the fiber coupler output pulse intensity is simulated against the time period with the quadratic/cubic root period chirp and Gaussian/uniform apodization function. The fiber coupler peak intensity variations against the transmission range variations is also demonstrated by OptiGrating simulation software.</p>
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James, D. I., W. F. Maddams, and P. B. Tooke. "The Use of Fourier Deconvolution in Infrared Spectroscopy. Part I: Studies with Synthetic Single-Peak Systems." Applied Spectroscopy 41, no. 8 (1987): 1362–70. http://dx.doi.org/10.1366/0003702874447374.

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Studies with synthetic single-peak systems have provided information on a range of factors capable of limiting the utility of Fourier deconvolution for peak finding in vibrational spectra. The merits of six apodization functions for controlling Gibbs oscillations resulting from truncation and background effects have been determined. The triangularsinc and triangular-squared functions are the most effective, and the Gaussian function is the least satisfactory. The presence of asymmetry and a degree of Gaussian character in the band shape should not prove a serious limitation for most qualitative and quantitative applications. The peak heights following deconvolution are linear functions of the resolution enhancement factor, K, the constant of proportionality being determined by the particular apodization function employed. By contrast, the areas of deconvoluted bands are sensibly independent of the apodization function. This factor opens the way to quantitative studies on deconvoluted band systems.
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Kaesar Abdul Hassan Abbas, Ghada Sabah Karam, and Ziad M. Abood. "Effect of Variable Apodization Functions on the Image Quality of Optical System." International Journal of Scientific Research in Science, Engineering and Technology 12, no. 1 (2025): 148–52. https://doi.org/10.32628/ijsrset25121159.

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Apodization of pupil with various amplitude filters have been investigated for altering the point spread function for diffraction-limited optical systems' pictures of point objects by employing various filters, such as connes and tringle filters. We have shown that, for different levels of amplitude apodization, the lower values. An observation that these filters give good results for lower values of the apodization parameter. (FWHM) Full width at half maximum of the point spread function (PSF) is smaller than the Airy PSF, improving the performance of the optical system.
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Shailaja, P., D. Karuna Sagar Rao, and S. Venkateshwara Rao. "Studies On Point Spread Function With Three Zone Complex Pupil Function." IOSR Journal of Applied Physics 16, no. 5 (2024): 27–30. http://dx.doi.org/10.9790/4861-1605012730.

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The point spread function of a complex three-zone pupil function is analyzed in the presence of primary spherical aberration and defocus. The second zone is phase-shifted by -π/5, and the third zone by +π/7. Apodization is applied using three filters: a Bartlett amplitude filter for the inner zone, a shaded amplitude filter for the second zone, and a Hanning amplitude filter for the third zone. The primary goal is to enhance the central maximum's intensity, eliminate side lobes, and reduce the radius of the first dark ring. A notable increase in the central maximum occurs when the apodization parameter is set to β = 1.0, and minimized the first dark ring's radius under high spherical aberration and defocus
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Qin, Yusheng, Xiangxian Li, Xin Han, Jingjing Tong, and Minguang Gao. "Research on Spectral Restoration and Gas Concentration Inversion Accuracy Based on Quasi-Trapezoidal Window." Photonics 9, no. 11 (2022): 885. http://dx.doi.org/10.3390/photonics9110885.

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The Fourier transform is a popular method for analyzing and processing interference data in which spectrum leakage occurs. Generally, window function (also called apodization function) weighting is employed to limit spectrum leakage. A rectangular window with optimal main-lobe performance and the Rife-Vincent (R-V) window were introduced to improve the window function performance, resulting in the establishment of a quasi-trapezoidal window function. Based on the experimental interference data, the quasi-trapezoidal window function was used in the spectral restoration process. The experimental results show that when the apodization degree of the quasi-trapezoidal window was 1.06, the spectral resolution was improved by 17.46% compared with that of the Hanning window; when the apodization degree was 2.71, the spectral signal-to-noise ratio (SNR) was improved by 130.09% compared with that of the Blackman-Harris window function. In the propane (C3H8) and ethylene (C2H4) gas concentration inversion experiment, when the apodization degree was increased from 1.06 to 2.58, the inversion precision was increased by 6.94% for C3H8 gas and 23.93% for C2H4 gas. Through the parameter adjustment, the quasi-trapezoidal window may achieve a high SNR or high-resolution spectral restoration, which can improve the accuracy of gas concentration inversion to some extent.
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Khonina, Svetlana N., Sergey G. Volotovskiy, Alexey P. Dzyuba, Pavel G. Serafimovich, Sergey B. Popov, and Muhammad A. Butt. "Power Phase Apodization Study on Compensation Defocusing and Chromatic Aberration in the Imaging System." Electronics 10, no. 11 (2021): 1327. http://dx.doi.org/10.3390/electronics10111327.

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We performed a detailed comparative study of the parametric high degree (cubic, fourth, and fifth) power phase apodization on compensation defocusing and chromatic aberration in the imaging system. The research results showed that increasing the power degree of the apodization function provided better independence (invariance) of the point spread function (PSF) from defocusing while reducing the depth of field (DOF). This reduction could be compensated by increasing the parameter α; however, this led to an increase in the size of the light spot. A nonlinear relationship between the increase in the DOF and spot size was shown (due to a small increase in the size of the light spot, the DOF can be significantly increased). Thus, the search for the best solution was based on a compromise of restrictions on the circle of confusion (CoC) and DOF. The modeling of color image formation under defocusing conditions for the considered apodization functions was performed. The subsequent deconvolution of the resulting color image was demonstrated.
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Toto, Saktioto, Ramadhan Khaikal, Soerbakti Yan, Fadli Syahputra Romi, Irawan Dedi, and Okfalisa. "Apodization sensor performance for TOPAS fiber Bragg grating." TELKOMNIKA (Telecommunication, Computing, Electronics and Control) 19, no. 6 (2021): 1982–91. https://doi.org/10.12928/telkomnika.v19i6.21669.

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Optical sensors have more capabilities than electronic sensors, and therefore provide extraordinary developments, including high sensitivity, non-susceptibility to electromagnetic wave disturbances, small size, and multiplexing. Furthermore, fiber Bragg grating (FBG) is an optical sensor with a periodically changing grating refractive index, susceptible to strain and temperature changes. As a sensor, FBG’s performance required to optimize and improve the numerical apodization function and affect the effective refractive index is considered. The grating fiber’s apodization function can narrow the full width half maximum (FWHM) and reduce the optical signal’s side lobes. In all the apodization functions operated by FBG, Blackman has the highest sensitivity of 15.37143 pm/°C, followed by Hamming and Gaussian, with 13.71429 pm/°C and 13.70857 pm/°C, respectively, and Uniform grating fiber with the lowest sensitivity of 12.40571 pm/°C. Hamming, Uniform, and Blackman discovered the sensitivity for a strain to be 1.17, 1.16, and 1.167 pm/microstrain, respectively. The results obtained indicated that apodization could increase FBG’s sensitivity to temperature and strain sensors. For instance, in terms of other parameters, FWHM width, Hamming had the narrowest value of 0.6 nm, followed by Blackman with 0.612 nm, while Uniform had the widest FWHM of 1.9546 nm.
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Saktioto, T., K. Ramadhan, Y. Soerbakti, D. Irawan, and Okfalisa. "Integration of chirping and apodization of Topas materials for improving the performance of fiber Bragg grating sensors." Journal of Physics: Conference Series 2049, no. 1 (2021): 012001. http://dx.doi.org/10.1088/1742-6596/2049/1/012001.

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Abstract The discovery of the fiber Bragg grating (FBG) is an early milestone in developing optical fiber technology, such as optical communication to monitoring material health structures as sensors. For optical communication, the FBG components are capable of filtering functions. As a sensor, it has a high sensitivity immune to electromagnetic wave interference, is small in size, and is resistant to extreme environmental conditions. The sensitivity of the FBG sensor is obtained from the shift in the peak wavelength of each of the temperature and strain quantities. However, the performance of the FBG sensor can be improved by engineering the distribution of the refractive index on the grid with the apodization and chirp functions. Apodization is a technique to improve the performance of the FBG to eliminate noise, narrow the full width half maximum, lower the side lobes of the main lobe, and improve the spectrum ripple factor. Apart from apodization, the chirp function also affects the sensor sensitivity and the refractive index distribution on the grid. Numerical experiments were carried out in designing the FBG component as a sensor using Gaussian apodization and Topas (cyclic olefin copolymer) for several chirp functions. The results show that the Gaussian apodization Topas for all chirp functions as a strain sensor has the same sensitivity, namely 0.84 pm/μstrain while for temperature sensors with the highest sensitivity is obtained at cubic root chirp of 13.82857 pm/°C followed by square root chirp of 13.74286 pm/°C, quadratic chirp 13.71429 pm/°C, and linear chirp 13.4 pm/°C. The Bragg wavelength shift was greater for 1 °C than for the 1 μstrain.
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Dissertations / Theses on the topic "Apodization function"

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Schwiegerling, Jim. "Optical transfer function expansion of quadratic pupils." SPIE-INT SOC OPTICAL ENGINEERING, 2017. http://hdl.handle.net/10150/627185.

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Quadratic pupils representing Gaussian apodization and defocus are expanded into Zernike polynomials. Combinations of the pupil expansion coefficients are used, in turn to expand the Optical Transfer Function into a novel set of basis functions.
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Book chapters on the topic "Apodization function"

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Arumugam, Ramya, Ramamoorthy Kumar, and Samiappan Dhanalakshmi. "Optimization and Performance Evaluation of Apodization Function for Fiber Bragg Grating as Vital Sign Sensor." In 6th Kuala Lumpur International Conference on Biomedical Engineering 2021. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-90724-2_37.

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Snyder, D. A. "Signal Processing for Highly Resolved 2D NMR." In Fast 2D Solution-state NMR. The Royal Society of Chemistry, 2023. http://dx.doi.org/10.1039/bk9781839168062-00154.

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As the name implies, the “traditional” processing scheme for Fourier transform nuclear magnetic resonance (FT-NMR) signals is centred on the Fourier transform. However, other techniques can either replace or supplement the Fourier transform: extracting more information from fewer datapoints, improving sensitivity and/or resolution, reducing acquisition time (while maintaining spectral quality) and even reconstructing spectra whose experimental acquisition is too time-consuming to be feasible. Following an overview of “traditional” FT-NMR processing, including an analysis of apodization functions, this chapter will discuss alternatives to the Fourier transform applicable to 2D spectroscopy, including compressed sensing and covariance NMR. This chapter will evaluate processing techniques in light of the specific advantages of 2D NMR, such as the inherent ability to treat 2D datasets as matrices subject to well-studied matrix operations as well as the symmetry of certain 2D NMR experiments. On the other hand, this chapter will address certain challenges in processing rapidly acquired 2D NMR spectra, such as crowded signals and the inapplicability of certain multidimensional processing techniques to data with only a single indirect dimension. This chapter will also review software for NMR signal processing, such as NMRPipe and Mnova.
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Conference papers on the topic "Apodization function"

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Zhang, Xiaoxiao, Ming Ye, Arthur Bradley, and Larry N. Thibos. "Stiles–Crawford effect improves defocused or aberrated retinal image quality." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.tuy22.

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Visual sensitivity is not uniform across the pupil. Sensitivity peaks near the pupil center and is reduced at the pupil margins (Stiles–Crawford effect or SCE). Is there any functional advantage derived from this property? The SCE can be considered equivalent to apodization of the pupil, but no functional value of this apodization has been observed for well-focused images.1-3 However, the most significant effect of SCE may be to increase depth of focus.4,5 Using a wave-optics model of the human eye, we incorporate apodization by changing the pupil transmission function from a uniform function into an SCE function. We calculate the influence of SCE on the OTF with defocus error or ocular spherical aberration. Our results show that (1) Stiles–Crawford apodization significantly improves contrast for defocused images for large pupils, and (2) The Stiles-Crawford apodization is also effective at improving image quality when the eye exhibits significant spherical aberration.
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Dong, J. Y., and Z. Z. Li. "New Apodization Function In FT-IR Spectrometer." In 1985 International Conference on Fourier and Computerized Infrared Spectroscopy, edited by David G. Cameron and Jeannette G. Grasselli. SPIE, 1985. http://dx.doi.org/10.1117/12.970796.

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Oliveira, H., and F. Chaves. "von Mises, tapering function, windows, circulardistributions, apodization." In XXXVI Simpósio Brasileiro de Telecomunicações e Processamento de Sinais. Sociedade Brasileira de Telecomunicações, 2018. http://dx.doi.org/10.14209/sbrt.2018.179.

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Schwiegerling, Jim. "Relating Wavefront Error, Apodization and the Optical Transfer Function." In Computational Optical Sensing and Imaging. OSA, 2014. http://dx.doi.org/10.1364/cosi.2014.jtu5a.12.

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Matta, Keshavulu Goud, Karuna Sagar Dasari, Komala Rajanala, and Lacha Goud Sivagouni. "Point Spread Function of Optical systems with Asymmetric Apodization." In Frontiers in Optics. OSA, 2007. http://dx.doi.org/10.1364/fio.2007.fwc7.

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Fu, Jian, Ruimin Cao, and Lihui Wang. "The Influence of the Apodization Function on the Optical Needle." In Frontiers in Optics. OSA, 2020. http://dx.doi.org/10.1364/fio.2020.jtu1b.36.

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Yang, Fangcheng, Kai Zheng, Zhongwei Tan, and Shuisheng Jian. "Study on the optimum apodization function for nonlinearly chirped FBGs." In Asia-Pacific Optical and Wireless Communications, edited by Steven Shen, Shuisheng Jian, Katsunari Okamoto, and Kenneth L. Walker. SPIE, 2004. http://dx.doi.org/10.1117/12.521660.

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Mondal, P. K., and P. V. V. S. Murthy. "Comparative study of optical systems with various amplitude filters." In OSA Annual Meeting. Optica Publishing Group, 1985. http://dx.doi.org/10.1364/oam.1985.wg4.

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It is now well known that a modification of the diffraction-limited point-spread function is possible by using various types of amplitude apodization filter. A comparative study of the performance of optical systems apodized with a few commonly used amplitude filters has been made. The comparison has been made from the considerations of the diffracted field characteristics, namely, point-spread function, encircled energy factor, Strehl ratio, second-order moment, mean apodization ratio, two-point resolution, etc. The imaging characteristics of extended objects, both periodic and nonperiodic in various conditions of coherence, have also been compared with special reference to optical transfer function, generalized frequency response function, image contrast, etc. Attempts have been made to correlate the functional form of the pupil function to the performance of the apodized optical system in terms of the various diffracted fields and the imaging characteristic parameters considered. Finally, experimental methods to fabricate a few of these filters for superresolution, image processing, etc. are described.
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De Koker, E., and E. Van Rooyen. "Optimal apodization of acoustooptic power spectrum analyzers." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.mg7.

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Interferometric spectrum analyzers offer improved performance over power spectrum analyzers but not without a substantial increase in complexity. In this paper a technique for improving the performance of power spectrum analyzers is presented. The intensity profile of the input light beam controls the level of the sidelobes in the detection plane as well as the resolution of the analyzer. This profile, together with acoustic attenuation also controls the instantaneous dynamic range by suppressing acoustic nonlinearities. The most common criterion used for determining the resolution of an acoustooptic spectrum analyzer is the Rayleigh criterion. The application of this criterion requires two signals of the same power, a condition which rarely occurs in practice. A condition more likely to occur is that the signal powers vary extensively and require a large dynamic range. It is for this reason that the use of the Rayleigh criterion in spectrum analysis is not recommended. A different criterion is suggested and shown to be more appropriate. The most general weighting function used is Gaussian. This function is evaluated by using the suggested criterion for resolution shown not to be optimal. An optimal weighting function is determined incorporating the effect of acoustic attention and acoustic nonlinearities. This is shown to exert an appreciable influence on system specifications and design.
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Cheng, Hong, Ju Li, Hong Liu, Hongyi Zhang, and Yang Li. "Fourier ptychographic microscopy based on Gaussian apodization coherent transfer function constraints." In Third International Computing Imaging Conference (CITA 2023), edited by Xiaopeng Shao. SPIE, 2023. http://dx.doi.org/10.1117/12.2688050.

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