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Phase Estimation In Optical Interferometry


Phase Estimation In Optical Interferometry
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Phase Estimation In Optical Interferometry


Phase Estimation In Optical Interferometry
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Author : Pramod Rastogi
language : en
Publisher: CRC Press
Release Date : 2014-11-21

Phase Estimation In Optical Interferometry written by Pramod Rastogi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-21 with Technology & Engineering categories.


Phase Estimation in Optical Interferometry covers the essentials of phase-stepping algorithms used in interferometry and pseudointerferometric techniques. It presents the basic concepts and mathematics needed for understanding the phase estimation methods in use today. The first four chapters focus on phase retrieval from image transforms using a single frame. The next several chapters examine the local environment of a fringe pattern, give a broad picture of the phase estimation approach based on local polynomial phase modeling, cover temporal high-resolution phase evaluation methods, and present methods of phase unwrapping. The final chapter discusses experimental imperfections that are liable to adversely influence the accuracy of phase measurements. Responding to the push for the deployment of novel technologies and fast-evolving techniques, this book provides a framework for understanding various modern phase estimation methods. It also helps readers get a comparative view of the performance and limitations of the approaches.



Phase Estimation In Optical Interferometry


Phase Estimation In Optical Interferometry
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Author : Pramod Rastogi
language : en
Publisher: CRC Press
Release Date : 2014-11-21

Phase Estimation In Optical Interferometry written by Pramod Rastogi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-21 with Science categories.


This book covers the essentials of phase-stepping algorithms used in interferometry and pseudointerferometric techniques. It presents the basic concepts and mathematics needed for understanding modern phase estimation methods. The book first focuses on phase retrieval from image transforms using a single frame. It then examines the local environment of a fringe pattern, the phase estimation approach based on local polynomial phase modeling, temporal high-resolution phase evaluation methods, and methods of phase unwrapping. It also discusses experimental imperfections liable to adversely influence the accuracy of phase measurements.



Quantum Enhanced Phase Estimation In Optical Interferometry


Quantum Enhanced Phase Estimation In Optical Interferometry
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Author : Jaspreet Sahota
language : en
Publisher:
Release Date : 2017

Quantum Enhanced Phase Estimation In Optical Interferometry written by Jaspreet Sahota and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.


Quantum-enhanced interferometers utilize non-classical states of light in order to surpass the limitations imposed by classical physics on phase measurement sensitivity and resolution. We review key scientific developments in this growing field of research and derive fundamental metrology concepts, namely the Cram\'{e}r-Rao bound and the Fisher information, which are used to analyze the metrological performance of quantum states of light. We propose a supersensitive quantum interferometry protocol that can be amplified to the macroscopic realm (i.e. the mean number of photons of the probe state can reach approximately 100,000 photons) using contemporary techniques of spontaneous parametric down conversion. The parity measurement on the output field asymptotically saturates the quantum Cram\'{e}r-Rao bound, which scales like the Heisenberg limit. We uncover the role of photon statistics on phase sensitivity and rule out the necessity of mode entanglement for quantum-enhanced interferometry. Based on these insights we outline a practical metrology technique (independent of mode entanglement) that measures a phase delay of a single-mode anti-squeezing operation. This scheme can also be scaled macroscopically using contemporary techniques and is shown to significantly surpass the shot-noise limit (SNL) in the presence of realistic losses. Finally, the physical resources that enable quantum-enhanced interferometry is studied by analyzing the quantum Fisher information (QFI) using the first quantization and the second quantization formalisms of quantum mechanics. It is shown that increasing the intra-mode correlations of an interferometer (as quantified by the second order Glauber coherence function) can be conducive to attaining a quantum advantage in phase estimation; whereas, introducing mode entanglement can reduce phase sensitivity. Using the first quantization description, we derive a formula for the QFI that shows explicitly how the Heisenberg scaling term depends on particle entanglement.



Optical Interferometry 2e


Optical Interferometry 2e
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Author : P. Hariharan
language : en
Publisher: Academic Press
Release Date : 2003-09-22

Optical Interferometry 2e written by P. Hariharan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-22 with Science categories.


Nanotechnology, sensor and measurement industries depend on these advances in optical interferometry for accuracy and profitability.



Optical Inspection Of Microsystems Second Edition


Optical Inspection Of Microsystems Second Edition
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Author : Wolfgang Osten
language : en
Publisher: CRC Press
Release Date : 2019-06-21

Optical Inspection Of Microsystems Second Edition written by Wolfgang Osten and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-21 with Technology & Engineering categories.


Where conventional testing and inspection techniques fail at the microscale, optical techniques provide a fast, robust, noninvasive, and relatively inexpensive alternative for investigating the properties and quality of microsystems. Speed, reliability, and cost are critical factors in the continued scale-up of microsystems technology across many industries, and optical techniques are in a unique position to satisfy modern commercial and industrial demands. Optical Inspection of Microsystems, Second Edition, extends and updates the first comprehensive survey of the most important optical measurement techniques to be successfully used for the inspection of microsystems. Under the guidance of accomplished researcher Wolfgang Osten, expert contributors from industrial and academic institutions around the world share their expertise and experience with techniques such as image processing, image correlation, light scattering, scanning probe microscopy, confocal microscopy, fringe projection, grid and moire techniques, interference microscopy, laser-Doppler vibrometry, digital holography, speckle metrology, spectroscopy, and sensor fusion technologies. They also examine modern approaches to data acquisition and processing, such as the determination of surface features and the estimation of uncertainty of measurement results. The book emphasizes the evaluation of various system properties and considers encapsulated components to increase quality and reliability. Numerous practical examples and illustrations of optical testing reinforce the concepts. Supplying effective tools for increased quality and reliability, this book Provides a comprehensive, up-to-date overview of optical techniques for the measurement and inspection of microsystems Discusses image correlation, displacement and strain measurement, electro-optic holography, and speckle metrology techniques Offers numerous practical examples and illustrations Includes calibration of optical measurement systems for the inspection of MEMS Presents the characterization of dynamics of MEMS



Atom Interferometry


Atom Interferometry
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Author : G.M. Tino
language : en
Publisher: IOS Press
Release Date : 2014-10-16

Atom Interferometry written by G.M. Tino and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-16 with Science categories.


Since atom interferometers were first realized about 20 years ago, atom interferometry has had many applications in basic and applied science, and has been used to measure gravity acceleration, rotations and fundamental physical quantities with unprecedented precision. Future applications range from tests of general relativity to the development of next-generation inertial navigation systems. This book presents the lectures and notes from the Enrico Fermi school "Atom Interferometry", held in Varenna, Italy, in July 2013. The aim of the school was to cover basic experimental and theoretical aspects and to provide an updated review of current activities in the field as well as main achievements, open issues and future prospects. Topics covered include theoretical background and experimental schemes for atom interferometry; ultracold atoms and atom optics; comparison of atom, light, electron and neutron interferometers and their applications; high precision measurements with atom interferometry and their application to tests of fundamental physics, gravitation, inertial measurements and geophysics; measurement of fundamental constants; interferometry with quantum degenerate gases; matter wave interferometry beyond classical limits; large area interferometers; atom interferometry on chips; and interferometry with molecules. The book will be a valuable source of reference for students, newcomers and experts in the field of atom interferometry.



Quantum Detection And Estimation Theory


Quantum Detection And Estimation Theory
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Author : Helstrom
language : en
Publisher: Academic Press
Release Date : 1976-07-06

Quantum Detection And Estimation Theory written by Helstrom and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-07-06 with Computers categories.


Quantum Detection and Estimation Theory



Nasa Reference Publication


Nasa Reference Publication
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Author :
language : en
Publisher:
Release Date : 1990

Nasa Reference Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Astronautics categories.




Iterative Phase Estimation Algorithms In Interferometric Systems


Iterative Phase Estimation Algorithms In Interferometric Systems
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Author : Wesley E. Farriss
language : en
Publisher:
Release Date : 2021

Iterative Phase Estimation Algorithms In Interferometric Systems written by Wesley E. Farriss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


"Coherent optical interferometry has a long history of enabling extremely precise measurements at length scales of less than the wavelength of light used in the interferometer. It is the ability of these systems to measure both the relative phase and amplitude information of the optical field that makes them so useful. As the name would imply, measuring phase and amplitude is accomplished by interfering two or more beams of light. Interferometric techniques have been adopted for use in both imaging/sensing technologies. For imaging systems under ideal conditions, the ability to measure both phase and amplitude information in one transverse plane allows for the calculation of that field's phase and amplitude distribution in any other transverse plane. However, the presence of atmospheric turbulence unpredictably alters the index of refraction in the propagation medium thereby adversely affecting the reliability of calculation of phase and amplitude in other transverse planes. To address this problem, we demonstrate iterative sharpness maximization (ISM) correction of anisoplanatic turbulence effects in simulated range-compressed holography (RCH) fields and their corresponding range images. Our turbulence correction estimated four phase screens placed along the path of optical propagation using nonlinear optimizations aided by the method of sieves technique. We conducted a study of range images created from simulated single speckle realization 3D RCH fields subjected to twenty different turbulence profiles at five different strengths of turbulence, D/r0 = 7, 14, 21, 28, and 36. Range images showed significant improvement for all strengths of turbulence. To assist in correction, we introduced a novel constraint limiting the spread of energy in the corrected pupil. Corrected range images were qualitatively very similar to unaberrated range images in all but the most severe turbulence case, D/r0 = 36. Additionally, our algorithm was tested for fields affected by shot noise. Mean target photons per speckle ranged from 10 -2 to 10 2 in these simulations. For an effective D/r0 = 36, range images corrected from fields with 102 mean photons per speckle had very similar RMSE when compared to corrected noiseless range images. On average, corrected range images created from fields with 1 mean target photon per speckle differed by less than 5% RMSE from noiseless corrected range images. We went on to construct a RCH system in a laboratory setting using a linear frequency modulated CW laser and a high frame rate camera which allowed us to create 3D images of laboratory targets. Data was collected both with and without the effects of turbulence. In the former, multiple Lexitek turbulence screens were used to aberrate the image fields of our lab target at two different effective strengths of anisoplanatic turbulence, D/r0 = 7 and D/r0 = 16, respectively. Both of these sets of real aberrated image fields showed profound improvement in quality after correction with our phase ISM turbulence mitigation algorithm. Novel interferometric systems are also being developed which enable modal analysis of an optical field. This generalized optical interferometry (GOI) treats coherent optical fields as a linear superposition of transverse modes and recovers the amplitudes of modal weighting coefficients. In order to maximize the utility of these systems, we used phase retrieval by nonlinear optimization to recover the phase of these modal weighting coefficients. Algorithms were developed both for use with an array detector and for use with a bucket detector. Information diversity increased the robustness of both algorithms by better constraining the solutions. In our array detection phase retrieval, the algorithm was able to recover nearly all coefficient phases for simulated fields consisting of up to 21 superpositioned Hermite Gaussian modes from simulated data and proved to be resilient to shot noise. Similarly, the algorithm we developed using data from a simulated bucket detector was able to consistently recover better than 95% of coefficient phases for simulated random fields consisting of up to 21 superpositioned Hermite Gaussian modes using between three and seven measurements per unknown phase coefficient. With shot noise, the algorithm achieved performance on par with noiseless simulations with 106 mean signal photons per measurement. The role played by number of measurements per unknown (mpu), photons per unknown per measurement (ppu), and order of superposition in the bucket detection algorithm's performance was also explored"--Pages xvi-xix



Progress In Optics


Progress In Optics
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Author :
language : en
Publisher: Academic Press
Release Date : 2015-06-14

Progress In Optics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-14 with Science categories.


The Progress in Optics series contains more than 300 review articles by distinguished research workers, which have become permanent records for many important developments, helping optical scientists and optical engineers stay abreast of their fields. - Comprehensive, in-depth reviews - Edited by the leading authority in the field