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Artykuły w czasopismach na temat „Fresnel problem”

Autor: Grafiati

Data publikacji: 5 czerwca 2025

Data aktualizacji: 2 sierpnia 2025

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1

Gusein-zade, N. G., A. V. Kukushkin, and A. A. Rukhadze. "Fresnel problem and surface waves." Bulletin of the Lebedev Physics Institute 43, no. 6 (2016): 199–202. http://dx.doi.org/10.3103/s106833561606004x.

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2

Sandoval-Hernandez, M., H. Vazquez-Leal, L. Hernandez-Martinez, et al. "Approximation of Fresnel Integrals with Applications to Diffraction Problems." Mathematical Problems in Engineering 2018 (July 4, 2018): 1–13. http://dx.doi.org/10.1155/2018/4031793.

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This article introduces two approximations that allow the evaluation of Fresnel integrals without the need for using numerical algorithms. These equations accomplish the characteristic of being continuous in the same interval as Fresnel. Both expressions have been determined applying the least squares method to suitable expressions. Accuracy of equations improves as x increases; as for small values of x, it is possible to achieve an absolute error less than 8×10-5. To probe the efficiency of the equations, two case studies are presented, both applied in the optics field. The first case is rela

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3

Lomukhin, Yuriy L., Evgeniy B. Atutov, and Vasily P. Butukhanov. "Backward Reflection in the Fresnel Problem." IEEE Transactions on Antennas and Propagation 66, no. 4 (2018): 1838–45. http://dx.doi.org/10.1109/tap.2018.2800643.

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Williams, M. M. R. "The albedo problem with Fresnel reflection." Journal of Quantitative Spectroscopy and Radiative Transfer 98, no. 3 (2006): 358–78. http://dx.doi.org/10.1016/j.jqsrt.2005.05.095.

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Williams, M. M. R. "The Milne problem with Fresnel reflection." Journal of Physics A: Mathematical and General 38, no. 17 (2005): 3841–56. http://dx.doi.org/10.1088/0305-4470/38/17/009.

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Williams, M. M. R. "The Milne problem with Fresnel reflection." Journal of Physics A: Mathematical and General 38, no. 38 (2005): 8287. http://dx.doi.org/10.1088/0305-4470/38/38/c01.

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7

Williams, M. M. R. "The constant source problem with Fresnel reflection." Journal of Physics A: Mathematical and Theoretical 40, no. 7 (2007): 1513–23. http://dx.doi.org/10.1088/1751-8113/40/7/006.

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8

Cham, Rex Yui Kei, and Wallace Wai Lok Lai. "An Experimental Study of GPR Near-Field Problem in Depth Ranging of Buried Objects." Advances in Civil Engineering 2023 (October 4, 2023): 1–9. http://dx.doi.org/10.1155/2023/6865847.

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We evaluate the often neglected ranging (or cover depth) error of an object located within the Fresnel Region (or called radiating near-field) and reactive near-field region in ground penetrating radar (GPR). The experiments were conducted in concrete specimens with various rebar cover depths from 10 to 80 mm, which imitates any object imaged by GPR from reactive near-field, Fresnel region to far-field region. Velocities of each individual data point of the hyperbolic reflections of the embedded reinforcement in radargram are calculated by developed algorithms based on common offset antenna an

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9

Dolmatov, Dmitry O., Daniel Tarrazó-Serrano, German A. Filippov, Antonio Uris, and Dmitry A. Sednev. "Application of Phase-Reversal Fresnel Zone Plates for High-Resolution Robotic Ultrasonic Non-Destructive Evaluation." Sensors 21, no. 23 (2021): 7792. http://dx.doi.org/10.3390/s21237792.

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Nowadays the development of automated inspection systems based on six degrees of freedom robotic manipulators is a highly relevant topic in ultrasonic non-destructive testing. One of the issues associated with such development is the problem of acquiring high-resolution results. In this article, the application Phase-Reversal Fresnel Zone Plates is considered for solving this problem. Such acoustic lenses can solve the task of high-resolution results acquisition by using a single unfocused transducer. Furthermore, Phase-Reversal Fresnel Zone Plates can provide the desired focusing depth with t

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10

Chebotarev, A. Yu. "Optimal control of the radiation heat exchange equations for multi-component media." Dal'nevostochnyi Matematicheskii Zhurnal 21, no. 1 (2021): 113–21. http://dx.doi.org/10.47910/femj202110.

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An analysis of optimal control problems for nonlinear elliptic equations modeling complex heat transfer with Fresnel conjugation conditions on the discontinuity surfaces of the refractive index is presented. Conditions for the solvability of extremal problems and the nondegeneracy of the optimality system are obtained. For the control problem with boundary observation, the bang-bang property is set.

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11

Han, Jixing. "Application of Fresnel Zone Model in Wireless Sensing Field." Highlights in Science, Engineering and Technology 119 (December 11, 2024): 516–23. https://doi.org/10.54097/evr9dw45.

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As a common model in the field of wireless sensing, the Fresnel zone model performs better than traditional deep learning in generalization ability, computational efficiency, robustness, and so on. It shows significant advantages in breath monitoring, gesture recognition, indoor behavior recognition, and so on. In this paper, the typical applications of the Fresnel band model in fine and coarse-grained wireless sensing tasks in recent ten years are listed. With the progress of the research, the concentric circle model, dynamic Fresnel region model, and through-wall wireless sensing model are d

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12

Zhang, Kexin, Ying Su, Haiyu Wang, et al. "Highly Concentrated Solar Flux of Large Fresnel Lens Using CCD Camera-Based Method." Sustainability 14, no. 17 (2022): 11062. http://dx.doi.org/10.3390/su141711062.

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Fresnel lens is a kind of lens that can concentrate sunlight up to a level of thousands of suns with small space occupation which is widely used in the research of sunlight concentration and transmission systems via optical fiber. Most studies on the concentrated flux of lenses use experimental methods to measure the flux distribution on the receiver of parabolic trough solar concentrators, solar power towers, and parabolic dish concentrators, while for Fresnel lenses, especially large-aperture Fresnel lenses such as the one in this manuscript, the simulation approach was mostly used. In respo

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13

Schuhrke, T., J. Zweck, and H. Hoffmann. "The problem of absorption in the Fresnel fringe analysis." Ultramicroscopy 58, no. 3-4 (1995): 319–25. http://dx.doi.org/10.1016/0304-3991(95)00005-l.

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14

Mazzarella, Giuseppe, Giorgio Montisci, and Giampaolo Serra. "A Microwave Holographic Procedure for Large Symmetric Reflector Antennas Using a Fresnel-Zone Field Data Processing." International Journal of Antennas and Propagation 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/420398.

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In this paper we propose a new holographic procedure for the diagnostic of large reflector antennas, based on the direct use of the Fresnel-field pattern. The relation leading from the Fresnel field to the current on the reflector surface is formulated in the least-squares sense as a discrete data inverse problem and then regularized by using a singular value decomposition approach. A detailed theoretical analysis of the problem and full assessment of the presented technique are provided. Simulations are carried out by using the radiative near-field pattern generated with a commercial software

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15

Dai, Yi Dan, En Shi Qu, Li Yong Ren, Xin Chao Du, and Hai Juan Ju. "The Design of Freeform Surface Fresnel Lens Used for LED Uniform Illumination." Applied Mechanics and Materials 571-572 (June 2014): 976–79. http://dx.doi.org/10.4028/www.scientific.net/amm.571-572.976.

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This paper presents a new kind of light emitting diode(LED) secondary light distribution lens which adopts the type of Fresnel lens surface. The research purpose of this paper is to improve the LED heat dissipation efficiency of the secondary light distribution lens and the light efficiency, so as to prolong the service life of the LED. In this paper, we use the numerical method for solving the partial differential equation to establish a freeform surface lens which could produce uniform illumination, then the innovative method of combine the Fresnel lens structure with freeform surface lens w

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16

Grebenev, I. V., and P. V. Kazarin. "Demonstration experiment in the study of Fresnel diffraction." Physics Education 57, no. 2 (2022): 025020. http://dx.doi.org/10.1088/1361-6552/ac4208.

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Abstract The article describes a methodology for studying Fresnel diffraction with the active involvement of students in discussing the results of a demonstration experiment. To create a clearly visible model of Fresnel zones, a centimeter radio wave range was chosen, in which the first zone is about 10 cm in size. This makes visible the created combinations of open and closed sections of the wavefront and allows students to predict the results of demonstrations. To maintain the cognitive activity of students, the method of creating and resolving educational contradictions, problem situations

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17

Williams, M. M. R. "Addendum and corrigendum for “The albedo problem with Fresnel reflection”." Journal of Quantitative Spectroscopy and Radiative Transfer 104, no. 3 (2007): 482–83. http://dx.doi.org/10.1016/j.jqsrt.2006.09.012.

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18

Pazoev, A. L. "Main limitations in the synthesis of digital holograms of 3D images." Interexpo GEO-Siberia 8, no. 1 (2022): 117–25. http://dx.doi.org/10.33764/2618-981x-2022-8-1-117-125.

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Problems of digital synthesis of holograms of 3D objects are discussed. The problem of using fast Fourier transform (FFT) in the synthesis of a remote object is numerically shown. A method for implementing a direct numerical Fresnel transformation based on the use of spatial symmetries of the Fresnel transformation kernel as the main element of calculations is offered. Its promising possibilities are discussed. An example of calculating a hologram of a 3D image and its restoration is given. At the moment, a program for the synthesis of holograms by direct integral transformation without the us

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19

Wang, Meng, and Guizhen Lu. "The Comparison of Performance between Contrast Source Inversion and Its Related Algorithms and Several Improved Methods." International Journal of Antennas and Propagation 2021 (July 27, 2021): 1–16. http://dx.doi.org/10.1155/2021/5510010.

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The contrast source inversion (CSI) is an effective method for solving microwave imaging problems which is widely utilized. The core of the CSI is to change the conventional inverse scattering problem into an optimization problem. The two items in the objective function describe the state error and data error, respectively. As it is all known, there is almost no complete performance comparison based on Fresnel data for the CSI and its related improved algorithms. In addition, the performance of the algorithm under different weights was not analyzed before and the convergence speed of original

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20

Chebotarev, A. Yu. "Inverse Problem for Equations of Complex Heat Transfer with Fresnel Matching Conditions." Computational Mathematics and Mathematical Physics 61, no. 2 (2021): 288–96. http://dx.doi.org/10.1134/s0965542521020056.

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21

Al-Jethelah, Manar S. M., Hussam S. Dheyab, Samer M. Khalaf, Khairul Habib, and Kamaruzzaman Bin Sopian. "The Impact of Receiver Geometry with Nanofluid on the Performance of a Fresnel Collector." Tikrit Journal of Engineering Sciences 32, no. 1 (2025): 1–11. https://doi.org/10.25130/tjes.32.1.19.

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Solar energy devices have acquired growing attention to developing friendly-environment techniques. Linear Fresnel collector is preferred due to its low thermal losses. The present work numerically studied the impact of a linear Fresnel receiver geometry and utilizing TiO2 on the performance of the collector. Circular and isosceles receivers were investigated. Three TiO2 volume fractions were utilized: 0%, 2%, and 4%. The tested Reynolds number range was between 100 and 900. COMSOL Multiphysics 6.1, i.e., based on the Finite Element method, was used to solve the present problem. The circular r

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22

D'Alterio, A., and R. Solimene. "Accounting for Antenna in Half-Space Fresnel Coefficient Estimation." International Journal of Geophysics 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/138458.

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The problem of retrieving the Fresnel reflection coefficients of a half-space medium starting from measurements collected under a reflection mode multistatic configuration is dealt with. According to our previous results, reflection coefficient estimation is cast as the inversion of linear operator. However, here, we take a step ahead towards more realistic scenarios as the role of antennas (both transmitting and receiving) is embodied in the estimation procedure. Numerical results are presented to show the effectiveness of the method for different types of half-space media.

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23

Chebotarev, A. Yu. "Inhomogeneous Boundary Value Problem for Complex Heat Transfer Equations with Fresnel Matching Conditions." Differential Equations 56, no. 12 (2020): 1628–33. http://dx.doi.org/10.1134/s00122661200120113.

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24

Chebotarev, A. Yu. "Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions." Computational Mathematics and Mathematical Physics 64, no. 10 (2024): 2269–78. https://doi.org/10.1134/s0965542524701252.

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25

Maisto, Maria Antonia, Raffaele Solimene, and Rocco Pierri. "Resolution limits in inverse source problem for strip currents not in Fresnel zone." Journal of the Optical Society of America A 36, no. 5 (2019): 826. http://dx.doi.org/10.1364/josaa.36.000826.

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26

Liu, Yuzhu, Liangguo Dong, Yuwei Wang, Jinping Zhu, and Zaitian Ma. "Sensitivity kernels for seismic Fresnel volume tomography." GEOPHYSICS 74, no. 5 (2009): U35—U46. http://dx.doi.org/10.1190/1.3169600.

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Fresnel volume tomography (FVT) offers higher resolution and better accuracy than conventional seismic raypath tomography. A key problem in FVT is the sensitivity kernel. We propose amplitude and traveltime sensitivity kernels expressed directly with Green’s functions for transmitted waves for 2D/3D homogeneous/heterogeneous media. The Green’s functions are calculated with a finite-difference operator of the full wave equation in the frequency-space domain. In the special case of homogeneous media, we analyze the properties of the sensitivity kernels extensively and gain new insight into these

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27

Le, Thu, Dinh-Liem Nguyen, Hayden Schmidt, and Trung Truong. "Imaging of 3D objects with experimental data using orthogonality sampling methods." Inverse Problems 38, no. 2 (2021): 025007. http://dx.doi.org/10.1088/1361-6420/ac3d85.

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Abstract This paper is concerned with imaging of 3D scattering objects with experimental data from the Fresnel database. The first goal of the paper is to investigate a modified version of the orthogonality sampling method (OSM) by Harris and Nguyen [2020 SIAM J. Sci. Comput. 42 B72–737] for the imaging problem. The advantage of the modified OSM over its original version lies in its applicability to more types of polarization vectors associated with the electromagnetic scattering data. We analyze the modified OSM using the factorization analysis for the far field operator and the Funk–Hecke fo

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28

Tsai, Lung-Chih, Hwa Chien, Shin-Yi Su, et al. "Ocean-Surface Wave Measurements Using Scintillation Theories on Seaborne Software-Defined GPS and SBAS Reflectometry Observations." Sensors 23, no. 13 (2023): 6185. http://dx.doi.org/10.3390/s23136185.

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In this study, a low-cost, software-defined Global Positioning System (GPS) and Satellite-Based Augmentation System (SBAS) Reflectometry (GPS&SBAS-R) system has been built and proposed to measure ocean-surface wave parameters on board the research vessel New Ocean Researcher 1 (R/V NOR-1) of Taiwan. A power-law, ocean-wave spectrum model has been used and applied with the Small Perturbation Method approach to solve the electromagnetic wave scattering problem from rough ocean surface, and compared with experimental seaborne GPS&SBAS-R observations. Meanwhile, the intensity scintillation

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29

Sze, Jyh Rou, and An Chi Wei. "Development of a Computer Generation Holography for Generating Square Matrix Light Spots Applied to the Laser Patterning System." Key Engineering Materials 656-657 (July 2015): 509–14. http://dx.doi.org/10.4028/www.scientific.net/kem.656-657.509.

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A computer generation holography (CGH) is proposed herein to synthesize square-matrix light spots. Such a design of CGH is possible by reducing the 2-D problem to two 1-D problems. The both 1-D CGHs are designed with the conjugate-gradient method and verified with the Fresnel-Kirchhoff diffraction theory. This quantized 8-levels CGH is fabricated by using optical contact lithography and reactive-ion etching techniques. Measurement demonstrates that the fabricated CGH has the desired optical function, i.e., it forms square-matrix light spots in the image plane at a distance of 40 mm from the CG

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30

Liu, C. M., and I. C. Liu. "A Note on the Transient Solution of Stokes' Second Problem with Arbitrary Initial Phase." Journal of Mechanics 22, no. 4 (2006): 349–54. http://dx.doi.org/10.1017/s1727719100001003.

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AbstractThe flow of a viscous fluid disturbed by an oscillating plate of arbitrary initial phase is studied in present note. The exact solutions of the velocity and the shear stress are solved using a Laplace transform method. The velocity is derived in terms of complementary error functions and the shear stress on the boundary is given in the form of Fresnel integrals. Since the steady-state solutions are well known, our discussions are focused on the transient solutions. The transient state will disappear faster for the wall stress than that for the velocity field. Comparing the results corr

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31

Bogdan, P. S., E. G. Zaytseva, I. A. Kovalenok, T. D. Tarasenko та E. V. Duboysky. "The Use of Fresnel Lenses in LED Sources of Local Illumination to Оptimize the Distribution of Illumination of the Working Plane". Devices and Methods of Measurements 14, № 2 (2023): 96–105. http://dx.doi.org/10.21122/2220-9506-2023-14-2-96-105.

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For widely used LED sources there is a sharp decrease in the illumination of the working plane from the center to the edge. The purpose of this study was to analyze the effectiveness of Fresnel lenses usage as a fairly simple and technological element to increase the uniformity of illumination created by LED lamps of local lighting.A method has been developed for calculating of the distribution of illumination created by the combination of “LED matrix – Fresnel lens” when the distance between the lens and the matrix is less than the focal length of the lens. Comparison of the calculation resul

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32

Грецьких, Дмитро Вячеславович, Василь Олександрович Алєксєєв, Андрій Володимирович Гомозов, Віктор Олександрович Катрич та Михайло Васильович Нестеренко. "Математична модель антени з нелінійними характеристиками для розрахунку елект-ромагнітного поля у зоні Френеля". RADIOELECTRONIC AND COMPUTER SYSTEMS, № 4 (29 листопада 2021): 46–58. http://dx.doi.org/10.32620/reks.2021.4.04.

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The paper presents a mathematical model of radio-electronic systems (RES), which include antennas and their excitation paths with nonlinear characteristics. The model provides acceptable accuracy of RES quality indicator analysis and electromagnetic compatibility (EMC) for further practical design. General purpose: the development of a mathematical model of a transmitting multi-input radiating structure with nonlinear characteristics under the Fresnel zone. Objective: choice justification of a structural schema of a radiating multi-input system with a radiator that has a distributed nonlinear

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33

Zhang, Hualei, Zhu Wang, Zhuo Sun, et al. "Understanding the Mechanism of Through-Wall Wireless Sensing." Proceedings of the ACM on Interactive, Mobile, Wearable and Ubiquitous Technologies 6, no. 4 (2022): 1–28. http://dx.doi.org/10.1145/3569494.

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During the last few years, there is a growing interest on the usage of Wi-Fi signals for human activity detection. A large number of Wi-Fi based sensing systems have been developed, including respiration detection, gesture classification, identity recognition, etc. However, the usability and robustness of such systems are still limited, due to the complexity of practical environments. Various pioneering approaches have been proposed to solve this problem, among which the model-based approach is attracting more and more attention, due to the advantage that it does not require a huge dataset for

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34

Leshchiner, Dmitry, Konstantin Zvezdin, Anatoly Popkov, Grigory Chepkov, and Pietro Perlo. "Image reconstruction algorithms for the microwave holographic vision system with reliable gap detection at theoretical limits." EPJ Web of Conferences 185 (2018): 01004. http://dx.doi.org/10.1051/epjconf/201818501004.

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We present a reliable image reconstruction algorithm suitable for a microwave holographic vision system with several sensors coupled to the spin-diode based microwave detector and a single emission source. An objective is, by reconstructing the spatial microwave scattering density on the scene, to detect the presence and the nature of road obstacles impeding driving in the near vehicle zone. The idea of holographic visualization is to reconstruct the spatial microwave scattering density of an object by detecting an amplitude and phase of a reflected signal by lattice of sensors. We discuss ver

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35

Hofer, Dominik, and Bernhard G. Zagar. "A numerical approximation of the Huygens-Fresnel integral – Simulations of a rough wetting problem." Measurement 46, no. 8 (2013): 2828–36. http://dx.doi.org/10.1016/j.measurement.2013.05.003.

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Prokhorov, I. V. "The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions." Mathematical Notes 105, no. 1-2 (2019): 80–90. http://dx.doi.org/10.1134/s0001434619010097.

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37

Finot, Christophe, and Sonia Boscolo. "Exploring Fresnel diffraction at a straight edge with a neural network." European Journal of Physics 43, no. 3 (2022): 035306. http://dx.doi.org/10.1088/1361-6404/ac5bec.

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Abstract We describe a research project carried out with a group of undergraduate physics students and aimed at exploring the use of a neural network to study a classical problem in wave optics whose analytical solution is well known: the diffraction of light by the straight edge of an opaque semi-infinite screen. Through this exposure to machine learning, the students were able to appreciate the basic steps involved in a machine-learning process.

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38

Sobol, Valery R., Maxim V. Silibin, and Dmitry V. Karpinsky. "To a dispersion law of an electromagnetic wave in a medium having a double anisotropy." Modern Electronic Materials 10, no. (2) (2024): 103–13. https://doi.org/10.3897/j.moem.10.127996.

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Dispersion relations for a transverse electromagnetic wave in a hypothetical medium having a low crystalline symmetry and double anisotropy are formulated phenomenological based on the general concepts of Maxwell's equations. Formalism for electrical and magnetic ordering of a medium is represented by tensor coefficients of the second rank in a general coordinate system corresponding to an external problem of incidence, reflection and refraction of a transverse wave at the interface. Based on the obtained dispersion law, the Snell law of refraction for the wave vector is displayed, as well as,

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39

Tsang, Peter W. M., Jung-Ping Liu, Hoson Lam, and Ting-Chung Poon. "Enhancing the Quality of Sampled Phase-Only Hologram (SPOH) Based on Time-Division Comb Filtering." Applied Sciences 10, no. 8 (2020): 2732. http://dx.doi.org/10.3390/app10082732.

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Generation of digital phase-only Fresnel holograms is an important research area in digital holography, as it leads to a substantial simplification of a holographic display system. However, the quality of the reconstructed image of a hologram without the magnitude component is heavily degraded. The problem can be reduced by down-sampling the intensity of an image prior to generating the hologram. The method, referred to as “sampled phase-only hologram” (SPOH) generation, results in reconstructed images that are masked with the pattern of the down-sampling lattice. This paper reports a novel, l

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40

Chebotarev, A. Yu. "Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions." Dal'nevostochnyi Matematicheskii Zhurnal 22, no. 1 (2022): 100–106. http://dx.doi.org/10.47910/femj202210.

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Non-local in time, unique solvability of an inhomogeneous initial-boundary value problem for a nonlinear system simulating complex heat transfer with conditions of reflection and refraction on the discontinuity surfaces of the refractive index is proved.

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41

Weinzierl, Wolfgang, Lothar Schulte, and Victor Aarre. "Volumetric impact of fault perturbation in the first Fresnel zone." Interpretation 4, no. 4 (2016): T419—T426. http://dx.doi.org/10.1190/int-2015-0192.1.

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Resolution within seismic imaging must be understood in all three dimensions to make quantitative approximations of subsurface geometries. Constructive interference of incident spherical waves within the first Fresnel zone will limit the resolution due to spatial aliasing. Motivated by the problem of estimating the influence of this effect on the volume uncertainty several interpretations of trapping faults, being equally probable within the first Fresnel zone, are perturbed and multiple realizations of a structural model constructed. After estimating the depth dependent mean frequency and vel

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42

McDANIEL, SUZANNE T. "A NUMERICAL STUDY OF ROUGH-SURFACE SCATTER." Journal of Computational Acoustics 08, no. 03 (2000): 443–58. http://dx.doi.org/10.1142/s0218396x00000194.

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A computationally efficient formulation of the method of moments is developed and applied to the problem of scattering from one-dimensional random pressure-release surfaces. Comparisons are made between the predictions of small-slope and operator expansions and a reference solution obtained by matrix inversion for surfaces characterized by a power-law wavenumber spectrum. For Fresnel parameters greater than unity, a significant increase in backscatter over a wide range of grazing angles is found that is inconsistent with composite-roughness theory, and which is only partially predicted by the

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Langlois, P., A. Boivin, and R. A. Lessard. "Electromagnetic diffraction of a transversal two-dimensional Gaussian beam at normal incidence on an absorbing circular cylinder." Canadian Journal of Physics 63, no. 2 (1985): 301–9. http://dx.doi.org/10.1139/p85-047.

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We present the exact electromagnetic solution to the diffraction problem of a transversal two-dimensional Gaussian beam at normal incidence on an absorbing circular cylinder. The direction of constant amplitude for this Gaussian ribbon is perpendicular to the cylinder's axis. The results are valid in the Fresnel region as well as in the far field, and can be applied to actual values of the complex index of refraction for current-absorbing materials at optical frequencies (conductors or dielectrics). The diffracted field is expressed in terms of two cylindrical Gaussian edge waves arising from

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Agayan, G. M. "Numerical solution of the problem of image formation in two planes using the integral fresnel formula." Computational Mathematics and Modeling 11, no. 1 (2000): 75–78. http://dx.doi.org/10.1007/bf02359066.

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Fisanov, V. V. "Refraction of electromagnetic waves in pseudo-passive media." Journal of Physics: Conference Series 2140, no. 1 (2021): 012024. http://dx.doi.org/10.1088/1742-6596/2140/1/012024.

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Abstract The problem of reflection and refraction of a plane monochromatic wave is considered in the most general formulation for a flat interface of two isotropic pseudo-passive media using the vector covariant approach of F.I. Fedorov. The generalized Fresnel coefficients for the perpendicular and parallel polarizations turn out to be complex values, except for cases when the phase difference of the permeabilities of the two media is zero or 180 degrees. The critical Brewster angles also turn out to be complex quantities. The phenomenon of total reflection, in contrast to passive transparent

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Mugnai, Daniela, Pietro Bolli, Laura Burzagli, and Luca Olmi. "Toraldo’s Composed Pupil: A Theoretical Analysis of the Near Field." Optics 5, no. 3 (2024): 319–29. http://dx.doi.org/10.3390/opt5030023.

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Over the years, there has been much speculation to understand whether (and how) it was possible to go below the diffraction limit. An advance in knowledge was achieved with the development of microwave techniques. In fact, more than fifty years after the publication of Toraldo’s article dealing with this topic, some experimental measurements in the range of microwaves confirmed the validity of his model. Since some measurements were performed in the region of near field, while Toraldo’s model refers to the far field, the need for a theoretical analysis in the framework of the Fresnel optics ar

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Гончарский, А. А., and С. Ю. Серёжников. "On a problem of the synthesis of binary nano-optical elements." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 4 (December 20, 2016): 415–24. http://dx.doi.org/10.26089/nummet.v17r438.

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В рамках широко распространенной технологии Augmented Reality обсуждается возможность контроля подлинности защитных оптических меток на основе бинарных нанооптических элементов. С помощью смартфона фотографируют изображение защитной метки. Полученное изображение интерпретируется как дифракционный оптический элемент. В приближении Френеля рассчитывают изображение, формируемое дифракционным оптическим элементом, которое используют для идентификации подлинности защитной метки. Защитная метка представляет собой фазовый оптический элемент, глубина микрорельефа которого не превышает 0.5 мкм. Наноопт

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Friedrich, Corentin, Sébastien Bourguignon, Jérôme Idier, and Yves Goussard. "Three-Dimensional Microwave Imaging: Fast and Accurate Computations with Block Resolution Algorithms." Sensors 20, no. 21 (2020): 6282. http://dx.doi.org/10.3390/s20216282.

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This paper considers the microwave imaging reconstruction problem, based on additive penalization and gradient-based optimization. Each evaluation of the cost function and of its gradient requires the resolution of as many high-dimensional linear systems as the number of incident fields, which represents a large amount of computations. Since all such systems involve the same matrix, we propose a block inversion strategy, based on the block-biconjugate gradient stabilized (BiCGStab) algorithm, with efficient implementations specific to the microwave imaging context. Numerical experiments perfor

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Liang, Zhanhun, Jinjian Xie, Jiayi Deng, Yan Jiang, and Hai Wang. "Design and Testing of Transmissive Fresnel Concentration and Thermoelectric Power Generation System." Journal of Solar Energy Research Updates 12 (March 7, 2025): 1–5. https://doi.org/10.31875/2410-2199.2025.12.01.

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In this paper, a concentrating photovoltaic and temperature difference combined power generation device is designed. The device is guided by the problem of low power generation efficiency of solar cells at high temperature, and transfers the heat of photovoltaic cells to thermoelectric cells to achieve secondary power generation. The research takes the cold end of the thermoelectric battery as the entry point, and studies its influence on the device by controlling the flow rate and temperature of the cooling liquid in the water-cooled radiator. The results show that when the flow rate is 0.5L/

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Amosov, A. A. "Initial-Boundary Value Problem for the Non-Stationary Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions." Journal of Mathematical Sciences 231, no. 3 (2018): 279–337. http://dx.doi.org/10.1007/s10958-018-3822-0.

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