Optimization of Optical Instruments Under Fluctuations of System Parameters

2021 ◽  
Vol 12 (1) ◽  
pp. 73-113
Author(s):  
Bhupendra Nath Tiwari ◽  
Jude Kuipo Kibindé ◽  
Neeraj Gupta ◽  
Mahdi Khosravy ◽  
Stefano Bellucci
Keyword(s):  
Local Stability ◽  
System Optimization ◽  
Optical Systems ◽  
Extended Formulation ◽  
System Parameters ◽  
Dynamical Object ◽  
Clear Cut ◽  
Optical Instruments ◽  
Object Distance ◽  
Single Lens

Optimization plays a fundamental role in understanding stability characteristics of optical systems, for example, lenses, mirrors, and their constrained counterparts. For a dynamical object, the authors address the issue of stability of an image formed under fluctuations of optimization variables. As per this analysis, for a given single lens, mirror, or optical instrument, the positivity of pure correlation components of the fluctuation matrix characterizes the local stability about a chosen fixed point, whilst the positivity of the determinant of the fluctuation matrix offers global stability of the image under variations of the object distance and lateral magnification. In this paper, they demonstrate that there exists a clear cut distinction between the positive and negative lenses and mirrors about the line of unit lateral magnification. Moreover, they propose the extension of the above model to a class of constraint optical system optimization. They also propose an extended formulation for an optimized designing of nonlinearly constrained optical systems with finitely many components.

scholarly journals Ultrawide-angle and high-efficiency metalens in hexagonal arrangement

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Chun-Yuan Fan ◽  
Chia-Ping Lin ◽  
Guo-Dung J. Su
Keyword(s):  
High Efficiency ◽  
Numerical Aperture ◽  
Vital Role ◽  
Optical Systems ◽  
Wide Field ◽  
Wide Angle ◽  
Camera Systems ◽  
Single Lens ◽  
Hexagonal Arrangement ◽  
Virtual And Augmented Reality

Abstract Wide-angle optical systems play a vital role in imaging applications and have been researched for many years. In traditional lenses, attaining a wide field of view (FOV) by using a single optical component is difficult because these lenses have crucial aberrations. In this study, we developed a wide-angle metalens with a numerical aperture of 0.25 that provided a diffraction-limited FOV of over 170° for a wavelength of 532 nm without the need for image stitching or multiple lenses. The designed wide-angle metalens is free of aberration and polarization, and its full width of half maximum is close to the diffraction limit at all angles. Moreover, the metalens which is designed through a hexagonal arrangement exhibits higher focusing efficiency at all angles than most-seen square arrangement. The focusing efficiencies are as high as 82% at a normal incident and 45% at an incident of 85°. Compared with traditional optical components, the proposed metalens exhibits higher FOV and provides a more satisfactory image quality because of aberration correction. Because of the advantages of the proposed metalens, which are difficult to achieve for a traditional single lens, it has the potential to be applied in camera systems and virtual and augmented reality.

On a Certain Class of Expanding Systems

2010 ◽  
Vol 17 (2) ◽  
pp. 299-306
Author(s):  
Adam Żuchowski
Keyword(s):  
Transfer Function ◽  
Input Signal ◽  
Initial Conditions ◽  
System Optimization ◽  
Gain Coefficient ◽  
Time Intervals ◽  
System Parameters ◽  
Linear Dynamic ◽  
Subsequent Time ◽  
Input Signals

On a Certain Class of Expanding Systems The interesting properties of a class of expanding systems are discussed. The operation of the considered systems can be described as follows: the input signal is processed by a linear dynamic converter in subsequent time intervals, each of them is equal to Ti. Processing starts at the moments n · Ti, always after zeroing of converter initial conditions. For smooth input signals and a given transfer function of the converter one can suitably choose Ti and the gain coefficient in order to realize the postulated linear operations on input signals, which is quite different comparing it to the operation realized by the converter. The errors of postulated operations are mainly caused by non-smooth components of the input signal. The principles for choice of system parameters and rules for system optimization are presented in the paper. The referring examples are attached too.

Deep Learning-Based Imaging using Single-Lens and Multi-Aperture Diffractive Optical Systems

2019 ◽  
Author(s):  
Artem Nikonorov ◽  
Viktoria Evdokimova ◽  
Maksim Petrov ◽  
Pavel Yakimov ◽  
Sergey Bibikov ◽  
...  
Keyword(s):  
Deep Learning ◽  
Optical Systems ◽  
Single Lens

Symbolic Bifurcation Boundaries and Time-Dependent Resonance Sets of Time-Periodic Nonlinear Systems

1999 ◽  
Author(s):  
Eric A. Butcher ◽  
S. C. Sinha
Keyword(s):  
Nonlinear Systems ◽  
Parameter Space ◽  
Local Stability ◽  
Degree Of Freedom ◽  
Time Dependent ◽  
Periodic Systems ◽  
Stability Boundaries ◽  
System Parameters ◽  
Parameter Dependent ◽  
Time Periodic

Abstract A recent computational technique is utilized for symbolic computation of local stability boundaries and bifurcation surfaces for nonlinear multidimensional time-periodic dynamical systems as an explicit function of the system parameters. This is made possible by the recent development of a symbolic computational algorithm for approximating the parameter-dependent fundamental solution matrix of linear time-periodic systems. By evaluating this matrix at the end of the principal period, the parameter-dependent Floquet Transition Matrix (FTM), or the linear part of the Poincaré map, is obtained. The subsequent use of well-known criteria for the local stability and bifurcation conditions of equilibria and periodic solutions enables one to obtain the equations for the bifurcation surfaces in the parameter space as polynomials of the system parameters. Because this method is not based on expansion in terms of a small parameter, it can successfully be applied to periodic systems whose internal excitation is strong. In addition, the time-dependent normal forms and resonance sets for one and two degree-of-freedom time-periodic nonlinear systems are analyzed. For this purpose, the Liapunov-Floquet (L-F) transformation is employed which transforms the periodic variational equations into an equivalent form in which the linear system matrix is constant. Both quadratic and cubic nonlinearities are investigated, and all possible cases for the single degree-of-freedom case are studied. The above algorithm for computing stability boundaries may also be employed to compute the time-dependent resonance sets of zero measure in the parameter space. Two illustrative example problems, viz., a parametrically excited simple pendulum and a double inverted pendulum subjected to a periodic follower force, are included.

Optimized Electronic Cash Scheme with Fast Public Key Algorithm

2010 ◽  
Vol 20-23 ◽  
pp. 532-538
Author(s):  
Xuan Wu Zhou
Keyword(s):  
Discrete Logarithm ◽  
System Optimization ◽  
Public Key ◽  
Secret Message ◽  
Authenticated Encryption ◽  
Electronic Cash ◽  
Forgery Attack ◽  
System Parameters ◽  
Asymmetric Cryptography ◽  
Software And Hardware

In the paper, we analyzed the system optimization algorithms in e-cash (electronic cash) by improving the efficiency of e-cash for software and hardware application. As for the fast asymmetric cryptography algorithms in e-cash scheme, we presented basic interactive protocols based on discrete logarithm cryptosystem. In the protocol, the interacting algorithms achieve authenticated encryption in secret transmission algorithms, the verification of signature and transmission of secret message can be fulfilled in a single algorithm, and therefore the complexity of authentication algorithms in e-cash scheme is greatly reduced. As a comparison with traditional e-cash schemes, we presented an optimized e-cash scheme based on ECC (Elliptic Curves Cryptosystem). The cryptography algorithms of the scheme make full use of the superiority of ECC fast algorithms, thus the optimized e-cash scheme effectively avoids illegal distribution of e-cash and generalized forgery attack on system parameters with less system overheads.

Apparent Size and Distance in an Imaging Display

1992 ◽  
Vol 34 (3) ◽  
pp. 303-311 ◽  
Author(s):  
James W. Meehan ◽  
Thomas J. Triggs
Keyword(s):  
High Power ◽  
Real World ◽  
Apparent Size ◽  
Optical Systems ◽  
Depth Information ◽  
Natural Scenes ◽  
Single Lens ◽  
Invariance Hypothesis ◽  
The Relationship ◽  
And Task

The size-distance invariance hypothesis suggests that the perceived size and the perceived distance of objects in a field viewed naturally are closely related. However, this relationship breaks down when scenes are viewed through high-power optical systems. When natural scenes are viewed through an imaging display of unity magnification, there is a reduction in their apparent size. This raises the question of whether the relationship breaks down when scenes are viewed through a low-power imaging display. A single-lens reflex camera was used as an imaging display that enabled subjects to vary the size of imaged real-world scenes. Judgments of size were found to vary with depth information in scenes and between monocular and binocular viewing, consistent with a previous finding, but judgments of distance did not vary significantly across either of these conditions. The results suggest that judgments of size and judgments of distance with imaging displays are not influenced uniformly by environmental and task variables.

scholarly journals Four Wave Mixing Suppression in Optical Systems Through System Parameters Optimization

2014 ◽  
Vol 7 (15) ◽  
pp. 3010-3014
Author(s):  
Haider Jabber Abed ◽  
N.M. Din ◽  
M.H. Al-Mansoori ◽  
F. Abdullah ◽  
Hilal A. Fadhil
Keyword(s):  
Four Wave Mixing ◽  
Parameters Optimization ◽  
Optical Systems ◽  
Wave Mixing ◽  
System Parameters

scholarly journals Ray Tracing Comparison between Triple-Junction and Four-Junction Solar Cells in PMMA Fresnel-Based High-CPV Units

Energies ◽  
2018 ◽  
Vol 11 (9) ◽  
pp. 2455 ◽  
Author(s):  
Juan Ferrer-Rodríguez ◽  
Alvaro Valera ◽  
Eduardo Fernández ◽  
Florencia Almonacid ◽  
Pedro Pérez-Higueras
Keyword(s):  
Solar Cells ◽  
Ray Tracing ◽  
Triple Junction ◽  
Optical Element ◽  
The Other ◽  
Optical Systems ◽  
Single Lens ◽  
The One ◽  
Optical Concentrator ◽  
Spectral Responses

The recent development of wafer bonded four-junction concentrator solar cells (FJSCs) with record efficiency among all the existent photovoltaic (PV) cells offers new possibilities for improving the High Concentrator PV (HCPV) technology. However, the concentrator optical systems utilized in HCPV modules may have to be adapted to the new requirements of FJSC in order to properly take advantage of the increased number of p-n junctions. This research theoretically compares two identical optical concentrator systems, a Frensel lens plus a kind of refractive SILO (SIngle-Lens-Optical element) secondary (both made of PMMA, poly(methyl methacrylate)), which are equipped with a typical triple-junction concentrator solar cell (TJSC) in the one case, and with an FJSC in the other case. Both HCPV units are analyzed through ray tracing optical simulations applying an exhaustive optical modelling that takes into account the spectral responses of the different subcells within the multi-junction cells. The HCPV unit with the FJSC and PMMA SOE (secondary optical element) shows much less efficiency than that with the TJSC due to the light absorption through the PMMA SOE in the wavelength range of the bottom subcell. Therefore, PMMA SOEs may be not appropriate for FJSC in general.

System Optimization for Prism Based Stereovision

2013 ◽  
Vol 650 ◽  
pp. 374-378
Author(s):  
Xiao Yu Cui ◽  
Kah Bin Lim ◽  
Wei Loon Kee ◽  
Qi Yong Guo
Keyword(s):  
System Optimization ◽  
Image Pair ◽  
Parameters Selection ◽  
Single Lens ◽  
Restricted Condition

In this paper, we proposed a method for analyzing and optimizing the prism based single-lens stereovision system so that the pictures captured by this system are adequate for the application of stereovision. We first analyzed this system from the standpoint of system setup and parameters selection. Then we introduced a method to calculate the FOV of the prism based single-lens stereovision system. By adding some restricted condition, we redefined the area of FOV and gave a detailed connection between FOV and captured picture to obtain the appropriate image pair for stereovision.

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