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Cheng Wang

Beijing University of Posts and Telecommunications

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David L. Shealy

University of Alabama at Birmingham

Richard B. Hoover

U.S. Space and Rocket Center

Wu Jiang

University of Chinese Academy of Sciences

Jiang Wu

Shanghai University of Electric Power

Songsong Cai

Beijing University of Posts and Telecommunications

Yuefeng Ji

Beijing University of Posts and Telecommunications

Lin Bai

Beijing University of Posts and Telecommunications

Hongxiang Wang

Shandong Academy of Sciences

Weidong Wang

Beijing University of Posts and Telecommunications

Jin Li

Nanjing University

Cooperative Institutions

Beijing University of Posts and Telecommunications

State Key Laboratory of Information Photonics and Optical Communications

Shanghai University of Electric Power

University of Alabama in Huntsville

University of Alabama

University of Alabama at Birmingham

Sichuan University

China Academy of Space Technology

Air Force Medical University

Southwest Jiaotong University

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A Multi-parameter Compensated Min-Sum Based LDPC Decoding Algorithm

2021 7th International Conference on Computer and Communications (ICCC) (2023)

Shuxun He Cheng Wang Songsong Cai Weidong Wang

Berlekamp–Welch algorithm

List decoding

10.1109/iccc59590.2023.10507301

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Two-mirror reflecting microscope for soft x-ray uses

Optical Society of America Annual Meeting (1991)

David L. Shealy Cheng Wang Jiang Wu Richard B. Hoover

During the past several years, we have analyzed many aspects of spherical and aspherical two-mirror soft x-ray microscopes. These results are summarized and used to project the performance capabilities of a multilayer two-mirror microscope operating within the water window. As a result of the technological developments associated with NASA soft x-ray solar physics projects that have used one- and two-mirror telescopes operating at various wavelengths from 4.4 nm to 33.5 nm, a project has been initiated to fabricate and test a two-mirror microscope initially operating at 13 nm and then, after some developmental work, within the water window where an ultimate spatial resolution of <10 nm seems possible.

Water window

Curved mirror

10.1364/oam.1991.wl3

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Design and analysis of soft x-ray imaging microscopes

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE (1992)

David L. Shealy Cheng Wang Wu Jiang Richard B. Hoover

The spherical Schwarzschild microscope for soft X-ray applications in microscopy and projection lithography consists of two concentric spherical mirrors configured such that the third-order spherical aberration and coma are zero. Since multilayers are used on the mirror substrates for X-ray applications, it is desirable to have only two reflecting surfaces in a microscope. To reduce microscope aberrations and increase the field of view, generalized mirror surface profiles are here considered. Based on incoherent and sine wave modulation transfer function calculations, the object plane resolution of a microscope has been analyzed as a function of the object height and numerical aperture (NA) of the primary for several spherical Schwarzschild, conic, and aspherical Head reflecting two-mirror microscope configurations. The Head microscope with a NA of 0.4 achieves diffraction limited performance for objects with a diameter of 40 microns. Thus, it seems possible to record images with a feature size less than 100 A with a 40x microscope when using 40 A radiation.

Optical transfer function

10.1117/12.51229

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<title>Design and analysis of a fast two-mirror soft x-ray microscope</title>

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE (1993)

David L. Shealy Cheng Wang Wu Jiang Jin Li Richard B. Hoover

During the past several years, a number of investigators have addressed the design, analysis, fabrication, and testing of spherical Schwarzschild microscopes for soft-x-ray applications using multilayer coatings. Some of these systems have demonstrated diffraction limited resolution for small numerical apertures. Rigorously aplanatic, two-aspherical mirror Head microscopes can provide near diffraction limited resolution for very large numerical apertures. This paper summarizes the relationships between the numerical aperture, mirror radii and diameters, magnifications, and total system length for Schwarzschild microscope configurations. Also, an analysis of the characteristics of the Head-Schwarzschild surfaces is reported. The numerical surface data predicted by the Head equations have been fit by a variety of functions and analyzed by conventional optical design codes. Efforts have been made to determine whether current optical substrate and multilayer coating technologies will permit construction of a very fast Head microscope which can provide resolution approaching that of the wavelength of the incident radiation.

Numerical aperture

Aperture (computer memory)

10.1117/12.138760

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Security-Enhanced Electro-Optic Feedback Phase Chaotic System Based on Nonlinear Coupling of Two Delayed Interfering Branches

IEEE photonics journal (2018)

Cheng Wang Yuefeng Ji Hongxiang Wang Lin Bai

In this paper, a novel electro-optic feedback phase chaotic system based on nonlinear coupling of two delayed interfering branches is proposed and analyzed by numerical simulation. The feedback loop of the proposed system contains two delay branches and a Mach-Zehnder modulator. The chaotic voltages generated from two branches are nonlinearly converted in order to reduce their temporal correlations. The dynamic characteristics and the complexity of the generated chaotic signal are evaluated by the bifurcation diagram and permutation entropy, respectively. Besides, the simulated results show that the time-delay signature can be concealed effectively with a lower feedback gain, meanwhile the key space is extended considerably since more tunable parameters are nonlinearly coupled, thus the security can be improved greatly. Furthermore, the communication system based on the proposed scheme is discussed, and the results demonstrate that this system can be applied in secure communication.

Feedback loop

SIGNAL (programming language)

Key space

10.1109/jphot.2018.2849874

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Citations (19)

Optical Analysis of an Ultra-High Resolution Two-Mirror Soft X-Ray Microscope

Journal of X-Ray Science and Technology (1995)

David L. Shealy Cheng Wang Richard B. Hoover

Promoted by the successful application of multilayer coated optics in soft x-ray imaging experiments in solar physics and projection lithography, several groups have designed, analyzed, fabricated, and are testing Schwarzschild multilayer soft x-ray

10.3233/xst-1995-5101

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Differential equation design of finite-conjugate reflective systems

Applied Optics (1993)

Cheng Wang David L. Shealy

Based on the conditions of aplanatism, a differential equation design method has been applied to the optimization of finite-conjugate, multimirror systems for soft x-ray applications. The shapes of two surfaces in a multimirror system are determined by numerically solving differential equations for the mirror surfaces. The shapes of other mirrors in the system are used to control the remaining aberrations of those systems, such as astigmatism, field curvature, and distortion. Applications include a three-minor projection-lithography system, which has been optimized by this method and compared with results obtained by conventional optical design, and a two-mirror soft x-ray imaging microscopy system, which is predicted to yield a diffraction-limited performance for a large N.A.

Curved mirror

Distortion (music)

Geometrical optics

10.1364/ao.32.001179

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Citations (6)