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The quality of the research article is responsible to get accepted in the journals. The InspectTyper will redesign and rewrite your article which will increase the acceptance chances. 0.01 eV Bandgap is created in Graphene thin films - Read the article Stand with ukraine The donation amount will be transferred to our Ukraine publishing partners to donate directly in the welfare societies of the country. PTL NANO A dreamed journal to publish your Nano works. PTL NANO Publishes the best content on modern and advanced nanotechnology research. 2D materials, 1D materials, 0D materials, spectroscopy and microscopy of the materials. typesetting with physics tomorrow publishing ltd. In partnership with Grammarly Inc. Now publish in SCOPUS you too. PTL的外围 2.0 主页 3.0 主页 提交手稿 阅读以前的文章 主页 主页 提交手稿 阅读以前的文章 Impact Factor 3.97 Impact factor 2.73 一些出版物 New Elementary Particle Hypothesis: Yin–Yang Particles T. Physics Read Ferris Hsu Independent research studio, Xingfu Road, Ningbo city, China https://orcid.org/0009-0003-3175-2037 A Unifying Bag Model of Composite Fermionic Structures in a Cold Genesis Theory of Particles T. Physics Read Arghirescu Marius Detection of the large-scale tidal field with galaxy multiplet alignment in the DESI Y1 spectroscopic survey T. Physics Read Claire Lamman , 1★ Daniel Eisenstein,1 Jaime E. Forero-Romero , 2,3 Jessica Nicole Aguilar,4 Steven Ahlen , 5 Stephen Bailey , 4 Davide Bianchi , 6 David Brooks,7 Todd Claybaugh,4 Axel de la Macorra , 8 Peter Doel,7 Simone Ferraro , 4,9 Andreu Font-Ribera , 7,10 Enrique Gaztañaga,11,12,13 Satya Gontcho A Gontcho , 4 Gaston Gutierrez,14 Klaus Honscheid,15,16,17 Cullan Howlett , 18 Anthony Kremin , 4 Andrew Lambert,4 Martin Landriau , 4 Laurent Le Guillou , 19 Michael E. Levi , 4 Aaron Meisner , 20 Ramon Miquel,21,10 John Moustakas , 22 Jeffrey A. Newman , 23 Gustavo Niz , 24,25 Francisco Prada , 26 Ignasi Pérez-Ràfols , 27 Ashley J. Ross , 15,28,17 Graziano Rossi,29 Eusebio Sanchez , 30 Michael Schubnell,31,32 David Sprayberry,20 Gregory Tarlé , 32 Mariana Vargas-Magaña , 8 Benjamin Alan Weaver,20 Hu Zou 33 Violation of γ in Brans-Dicke gravity T. Physics Read Hoang Ky Nguyen ∗ Department of Physics, Babeş-Bolyai University, Cluj-Napoca 400084, Romania Bertrand Chauvineau † Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Laboratoire Lagrange, Nice cedex 4, France Observations and detectability of young Suns’ flaring and CME activity in optical spectra T. Physics Read M. Leitzinger,1⋆ P. Odert,1 R. Greimel2 1 Institute of Physics, Department for Astrophysics and Geophysics, University of Graz, Universitätsplatz 5, 8010 Graz, Austria 1 RG Science, Schanzelgasse 17, 8010 Graz, Austria Non-Hermitian unidirectional routing of photonic qubits Astrophysics Read En-Ze Li,1, 2, ∗ Yi-Yang Liu,3, ∗ Ming-Xin Dong,1, 2 Dong-Sheng Ding,1, 2, 4, † and Bao-Sen Shi1, 2, 4, ‡ 1Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, China. 2Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. 3School of Physical Science and Technology, Lanzhou University, Lanzhou, Gansu 730000, China. 4Hefei National Laboratory, Hefei, Anhui, 230088, China Electronic and thermal sequential transport in metallic and superconducting two-junction arrays T. Physics Read T. K¨uhn NanoScience Center and Department of Physics, University of Jyv¨askyl¨a, P.O. Box 35 (YFL), FIN-40014 University of Jyv¨askyl¨a, Finland G. S. Paraoanu∗ Low Temperature Laboratory, School of Science and Technology, Aalto University, P. O. Box 15100, FI-00076 AALTO, Finland. Tunable structure-activity correlations of molybdenum dichalcogenides (MoX2; X=S, Se, Te) electrocatalysts via hydrothermal methods: insight into optimizing the electrocatalytic performance for hydrogen generation T. Physics Read Zhexu Xi Probing supermassive black hole seed scenarios with gravitational wave measurements Astrophysics Read John Ellis,1, 2, 3, ∗ Malcolm Fairbairn,1, † Juan Urrutia,3, 4, ‡ and Ville Vaskonen3, 5, 6, § 1King’s College London, Strand, London, WC2R 2LS, United Kingdom 2Theoretical Physics Department, CERN, Geneva, Switzerland 3Keemilise ja Bioloogilise F¨u¨usika Instituut, R¨avala pst. 10, 10143 Tallinn, Estonia 4Department of Cybernetics, Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia 5Dipartimento di Fisica e Astronomia, Universit`a degli Studi di Padova, Via Marzolo 8, 35131 Padova, Italy 6Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Via Marzolo 8, 35131 Padova, Italy Protoplanetary disks in Ks-band total intensity and polarized light Exp. Astrophysics Read Bin B. Ren (任彬) iD ⋆⋆1, 2, 3 Myriam Benisty iD 1, 2 Christian Ginski iD 4 Ryo Tazaki iD 2 Nicole L. Wallack iD 5 Julien Milli iD 2 Antonio Garufi iD 6 Jaehan Bae iD 7 Stefano Facchini iD 8 François Ménard iD 2 Paola Pinilla iD 9 C. Swastik iD 10, Richard Teague iD 11, and Zahed Wahhaj iD 12 _________________________________________________________________ 1 Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Laboratoire Lagrange, Bd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France; bin.ren@oca.eu 2 Université Grenoble Alpes, CNRS, Institut de Planétologie et d’Astrophysique (IPAG), F-38000 Grenoble, France 3 Department of Astronomy, California Institute of Technology, MC 249-17, 1200 E California Blvd, Pasadena, CA 91125, USA 4 School of Natural Sciences, University of Galway, University Road, H91 TK33 Galway, Ireland 5 Earth and Planets Laboratory, Carnegie Institution for Science, Washington, DC 20015, USA 6 INAF, Osservatorio Astrofisico di Arcetri, Largo Enrico Fermi 5, I-50125 Firenze, Italy 7 Department of Astronomy, University of Florida, Gainesville, FL 32611, USA 8 Dipartimento di Fisica, Universitá degli Studi di Milano, via Celoria 16, I-20133 Milano, Italy 9 Mullard Space Science Laboratory, University College London, Holmbury St Mary, Dorking, Surrey RH5 6NT, UK 10 Indian Institute of Astrophysics, Koramangala 2nd Block, Bangalore 560034, India 11 Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA 02139, USA 12 European Southern Observatory, Alonso de Córdova 3107, Vitacura Casilla 19001, Santiago, Chile Grating design methodology for tailored free-space beam-forming Read ApplScience Gillenhaal J. Beck, Jonathan P. Home, Karan K. Mehta --------- G.J. Beck and J.P. Home are with the Institute of Quantum Electronics, ETH Zurich, Zurich, Switzerland. K.K. Mehta is with the school of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA. email: On-demand Generation of Indistinguishable Photons in the Telecom C-Band using Quantum Dot Devices Read ApplScience Daniel A. Vajner,1 Paweł Holewa,2, 3, 4 Emilia Zięba-Ostój,2 Maja Wasiluk,2 Martin von Helversen,1 Aurimas Sakanas,3 Alexander Huck,5 Kresten Yvind,3, 4 Niels Gregersen,3 Anna Musiał,2 Marcin Syperek,2 Elizaveta Semenova,3, 4 Tobias Heindel1 ------ 1)Institute of Solid State Physics, Technical University of Berlin, 10623 Berlin, Germany 2)Department of Experimental Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, Wyb. Wyspia´nskiego 27, 50-370 Wrocław, Poland 3)DTU Electro, Department of Electrical and Photonics Engineering, Technical University of Denmark, Kongens Lyngby 2800, Denmark 4)NanoPhoton-Center for Nanophotonics, Technical University of Denmark, 2800 Kongens Lyngby, Denmark 5)Center for Macroscopic Quantum States (bigQ), Department of Physics, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark Exceptional Classifications of Non-Hermitian Systems Read ApplScience Jung-Wan Ryu Perturbative aspects of mass dimension one fermions non-minimally coupled to electromagnetic field Read ApplScience Willian Carvalho AC frequency influence on pump temperature Read ApplScience A.A. Gareyev Nizhnesortymskneft Oil & Gas Production Division, Russia 3D Variational Bayesian Full Waveform Inversion Read ApplScience Xin Zhang1 Ubiquitous Superconducting Diode Effect in Superconductor Thin Films Read ApplScience Yasen Hou Physics-inspired Ising Computing with Ring Oscillator Activated p-bits Read ApplScience Navid Anjum Aadit Stacking-Mediated Diffusion of Ruthenium Nanoclusters in Graphite Read ApplScience James G. McHugh STeP-CiM: Strain-enabled Ternary Precision Computation-in-Memory based on Non-Volatile 2D Piezoelectric Transistors Read ApplScience Niharika Thakuria Superconductivity Induced Ferromagnetism In The Presence of Spin-Orbit Coupling Read Yao Lu,1, ∗ I. V. Tokatly,2, 3, 4, †, F. Sebastian Bergeret1, 3, ‡ Computational molecular structure analysis,electronic properties of sudan dye doped thiourea barium chloride photonic crystals Read S.PANIMALAR1, T.KANATCHI2, K.SAMBATH KUMAR3, P.KUMARESAN4 Quantum Dot Source-Drain Transport Response at Microwave Frequencies Read Harald Havir,1 Subhomoy Haldar,1 Waqar Khan,1 Sebastian Lehmann,1 Kimberly A. Dick, 1, 2 Claes Thelander,1 Peter Samuelsson,3 Ville F. Maisi1 Nanoscale Fabrication of Graphene by Hydrogen-Plasma Etching Read Takamoto Yokosawa Masahiro Kamada Taisuke Ochi Yuki Koga Synopset: multiscale visual abstraction set for explanatory analysis of dna nanotechnology simulations Read Deng Luo1 Combined Spectroscopy and Electrical Characterization of La: BaSnO3 Thin Films and Heterostructures Read Arnaud P. Nono Tchiomo,1 NEW ARRIVALS Up to 50% OFF on purchase Premiums 排序方式 Newly listed Tphysletters 快速瀏覽 A Unifying Bag Model of Composite Fermionic Structures in a Cold Genesis Theory 一般價格 $700.00 銷售價格 $400.00 增值税  未含 新增至購物車 TphysicsLetters 快速瀏覽 Detection of the large-scale tidal field with galaxy multiplet alignment in the 一般價格 $1,900.00 銷售價格 $950.00 增值税  未含 新增至購物車 Newly listed Tphysletters 快速瀏覽 Violation of γ in Brans-Dicke gravity 一般價格 $1,000.00 銷售價格 $600.00 增值税  未含 新增至購物車 Astrophysics 快速瀏覽 Observations and detectability of young Suns’ flaring and CME activity in optica 一般價格 $1,000.00 銷售價格 $450.00 增值税  未含 新增至購物車 TphysicsLetters 快速瀏覽 Tunable structure-activity correlations of molybdenum dichalcogenides (MoX2; X=S 一般價格 $2,000.00 銷售價格 $400.00 增值税  未含 新增至購物車 New Thphysletters 快速瀏覽 Bayesian and frequentist investigation of prior effects in EFTofLSS analyses of 一般價格 $3,000.00 銷售價格 $370.00 增值税  未含 新增至購物車 New Thphysletters 快速瀏覽 A search for faint resolved galaxies beyond the Milky Way in DES Year 6: A new f 一般價格 $1,900.00 銷售價格 $750.00 增值税  未含 新增至購物車 New 快速瀏覽 X-ray polarization properties of partially ionized equatorial obscurers around a 一般價格 $800.00 銷售價格 $350.00 增值税  未含 新增至購物車 New 快速瀏覽 Unravelling multi-temperature dust populations in the dwarf galaxy Holmberg II 一般價格 $1,200.00 銷售價格 $400.00 增值税  未含 新增至購物車 New 快速瀏覽 SpookyNet: Advancement in Quantum System Analysis through Convolutional Neural N 一般價格 $1,500.00 銷售價格 $500.00 增值税  未含 新增至購物車 New 快速瀏覽 Rapid neutron star cooling triggered by accumulated dark matter 一般價格 $1,500.00 銷售價格 $500.00 增值税  未含 新增至購物車 Newly listed Tphysletters 快速瀏覽 Searching for Radio Outflows from M31* with VLBI Observations 價格 $300.00 增值税  未含 新增至購物車 New Thphysletters 快速瀏覽 Measurement of the scaling slope of compressible magnetohydrodynamic turbulence 一般價格 $680.00 銷售價格 $612.00 增值税  未含 新增至購物車 MAKE OPEN ACCESS 快速瀏覽 New method to revisit the gravitational lensing analysis of the Bullet Cluster u 價格 $1,030.00 增值税  未含 新增至購物車 New Thphysletters 快速瀏覽 New method to revisit the gravitational lensing analysis of the Bullet Cluster u 一般價格 $599.00 銷售價格 $359.40 增值税  未含 新增至購物車 New 快速瀏覽 Nebular spectra from Type Ia supernova explosion models compared to JWST observa 一般價格 $503.00 銷售價格 $271.62 增值税  未含 新增至購物車 New Thphysletters 快速瀏覽 The Nature of the 1 MeV-Gamma quantum in a Classic Interpretation of the Quantum 價格 $399.00 增值税  未含 新增至購物車 快速瀏覽 Exceptional Classifications of Non-Hermitian Systems 價格 $399.00 增值税  未含 新增至購物車 New Thphysletters 快速瀏覽 On the occurrence of stellar fission in binary-driven hypernovae 價格 $399.00 增值税  未含 新增至購物車 New ApplSciLettersA 快速瀏覽 AC frequency influence on pump temperature 價格 $399.00 增值税  未含 新增至購物車 相關產品 快速瀏覽 Newly listed Tphysletters A Unifying Bag Model of Composite Fermionic Structures in a Cold Genesis Theory 一般價格 $700.00 銷售價格 $400.00 增值税  未含 新增至購物車 快速瀏覽 TphysicsLetters Detection of the large-scale tidal field with galaxy multiplet alignment in the 一般價格 $1,900.00 銷售價格 $950.00 增值税  未含 新增至購物車 快速瀏覽 Newly listed Tphysletters Violation of γ in Brans-Dicke gravity 一般價格 $1,000.00 銷售價格 $600.00 增值税  未含 新增至購物車 快速瀏覽 Astrophysics Observations and detectability of young Suns’ flaring and CME activity in optica 一般價格 $1,000.00 銷售價格 $450.00 增值税  未含 新增至購物車 快速瀏覽 TphysicsLetters Tunable structure-activity correlations of molybdenum dichalcogenides (MoX2; 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Physics Tomorrow Theoretical Physics Letters TPL is an international thrice reviewed journal which publishes the novel research and review articles on every dimension of the physics. The current impact factor is 1.4 as per 2019 update. 专利文献 关于本刊 期刊描述 编辑人员 明天的物理 Theoretical Physics Letters (TPL) SCI 索引的月刊三次同行评审期刊。 Physics Tomorrow Theoretical Physics Letters TPL 是一本国际三次评审期刊，发表关于物理学各个维度的新颖研究和评论文章。根据 2019 年更新，当前影响因子为 1.4。 物理复习 a、应用物理快报。 SUBMIT Impact Factor 4.16 (2024 update) 编辑政策声明 索引 Indexed within Scopus, SCIE (Web of Science), CAPlus / SciFinder, Inspec, and many other databases. 开放存取 Free for readers, with article processing charges (APC) paid by authors or their institutions. 目录 对于作者 快速出版 提交指南 Manuscripts are peer-reviewed and a first decision provided to authors approximately 21 days after submission; acceptance to publication is undertaken in 8-10 days post first decision. 认可 Reviewers who provide timely, thorough peer-review reports receive vouchers entitling them to a discount on the APC of their next publication in any Physics Tomorrow Letters , in appreciation of the work done. 格式化手稿 影响因子 3.56 (2022) ; 7-Year Impact Factor: 4.16 (2024 running month) 杂志传单 Flyer.pdf 编者的话。 | TPL 是一个开放的 访问涵盖理论、实验和观测物理学最新趋势的国际期刊。这旨在提供一个很好的机会 世界各地的主要研究人员发表他们的 有价值的作品，最低酬金。因为我相信伟大的想法是无价的。 在 ptlsubmission@gmail.com 提交您的论文 或点击这里提交 提交你的手稿 纸模板 .doc 求职信模板.doc 3.0 Most cited Recently Published Most Purchased See All The Nature of the 1 MeV-Gamma quantum in a Classic Interpretation of the Quantum Potential By considering wave-particle dualism with an interpretation of the squared amplitude of the wave function R2(Y) compatible with the known Bohm’s equations, for a 1 MeV-gamma-quantum considered as ‘gammonic’ (e-e+)- pair of electrons having the phase speed of the associated wave equal to the group speed of passing through a low frictional component of the quantum vacuum, it results a value of the quantum potential Q equal to the particle’s kinetic energy, Qc = ½mv2 , for a classic model of electron composed by heavy photons, this value being explained by a generalized relation of quantum equilibrium of de Broglie type, with the associated entropy proportional to its action S, as representing a centrifugal potential given by a spinorial mass ms = nvmv » me resulting by nv -vector photons explaining also a half of the electron’s rest energy by considering and a dynamic component of the quantum vacuum- given by quantum and sub-quantum winds ............ BUY Open Dirac-Majorana neutrino type conversion induced by an oscillating scalar dark matter Some properties of a neutrino may differ significantly depending on whether it is Dirac or Majorana type. The type is determined by the relative size of Dirac and Majorana masses, which may vary if they arise from an oscillating scalar dark matter. BUY Open Calculation of the Hubble Constant, the Minimum Mass, and the Proton Charge Radius Using the Dirac’s Hypothesis on the Ratio of the Electrostatic Force to the Gravitational Force This publication suggests that some physical values could be calculated using the Dirac’s hypothesis on the observed ratio of the electrostatic force to the gravitational force. The calculated value of the Hubble constant is H ≈ 72.013 km s‑1 Mpc‑1 and that of the minimum mass, Mmin ≈ 1.720 6 × 10‑68 kg. Recent observations suggest that the proton charge radius could also be calculated using an additional but related assumption: rp ≈ 0.826 4 fm. BUY Open Violation of γ in Brans-Dicke gravity The Brans Class I solution in Brans-Dicke gravity is a staple in the study of gravitational theories beyond General Relativity. Discovered in 1961, it describes the exterior vacuum of a spherical Brans-Dicke star and is characterized by two adjustable parameters. Surprisingly, the relationship between these parameters and the properties of the star has not been rigorously established. In this Proceeding, we bridge this gap by deriving the complete exterior solution of Brans Class I, expressed in terms of the total energy and total pressure of the spherisymmetric gravity source. BUY Open Tunable structure-activity correlations of molybdenum dichalcogenides (MoX2; X=S, Se, Te) electrocatalysts via hydrothermal methods: insight into optimizing the electrocatalytic performance for hydrogen generation Hydrogen Evolution Reaction (HER) has always gained wide attention as one of the eco-friendly and sustainable pathways for efficient hydrogen generation and storage; also, two-dimensional molybdenum dichalcogenide (MoX2, where X stands for S, Se, Te) BUY Open X-ray polarization properties of partially ionized equatorial obscurers around accreting compact objects We present the expected X-ray polarization signal resulting from distant reprocessing material around black holes. Using a central isotropic power-law emission at the center of the simulated model, we add distant equatorial and axially symmetric media that are covering the central accreting sources. We include partial ionization and partial transparency effects, and the impact of various polarization and steepness of the primary radiation spectrum. The results are obtained with the Monte Carlo code STOKES that considers both line and continuum processes and computes the effects of scattering and absorption inside static homogenous wedge-shaped and elliptical toroidal structures, varying in relative size, composition and distance to the source. We provide first order estimates for parsec-scale reprocessing in Compton-thin and Compton-thick active galactic nuclei, as well as winds around accreting stellar-mass compact objects. The resulting polarization can reach tens of % with either parallel or perpendicular orientation with respect to the axis of symmetry, BUY Open Unravelling multi-temperature dust populations in the dwarf galaxy Holmberg II Holmberg II – a dwarf galaxy in the nearby M81 group – is a very informative source of distribution of gas and dust in the interstellar discs. High-resolution observations in the infrared (IR) allows us to distinguish isolated star-forming regions, photodissociation (PDR) and HII regions, remnants of supernovae (SNe) explosions and, as such, can provide information about more relevant physical processes. In this paper we analyse dust emission in the wavelength range 4.5 to 160 𝜇m using the data from IR space observatories at 27 different locations across the galaxy. We observe that the derived spectra can be represented by multiple dust populations with different temperatures, which are found to be independent of their locations in the galaxy. By comparing the dust temperatures with the far ultraviolet (FUV) intensities observed by the UVIT instrument onboard AstroSat, we find that for locations showing a 100 𝜇m peak, the temperature of cold (20 to 30 K) dust grains show a dependence on the FUV intensities, while such a dependence is not observed for the other locations. We believe that the approach described here can be a good tool in revealing different dust populations in other nearby galaxies with available high spatial resolution data. BUY Open STeP-CiM: Strain-enabled Ternary Precision Computation-in-Memory based on Non-Volatile 2D Piezoelectric Transistors We propose 2D Piezoelectric FET (PeFET) based compute-enabled non-volatile memory for ternary deep neural networks (DNNs). PeFETs hinge on ferroelectricity for bit storage and piezoelectricity for bit sensing, exhibiting inherently amenable features for computation-in-memory of dot products of weights and inputs in the signed ternary regime. PeFETs consist of a material with ferroelectric and piezoelectric properties coupled with Transition Metal Dichalcogenide channel. We utilize (a) ferroelectricity to store binary bits (0/1) in the form of polarization (-P/+P) and (b) polarization dependent piezoelectricity to read the stored state by means of strain-induced bandgap change in Transition Metal Dichalcogenide channel. The unique read mechanism of PeFETs enables us to expand the traditional association of +P (-P) with low (high) resistance states to their dual high (low) resistance depending on read voltage. Specifically, we demonstrate that +P (-P) stored in PeFETs can be dynamically configured in (a) a low (high) resistance state for positive read voltages and (b) their dual high (low) resistance states for negative read voltages, without afflicting a read disturb. Such a feature, which we name as Polarization Preserved Piezoelectric Effect Reversal with Dual Voltage Polarity (PiER), is unique to PeFETs and has not been shown in hitherto explored memories. We leverage PiER to propose a Strain-enabled Ternary Precision Computation-in-Memory (STeP-CiM) cell with capabilities of computing the scalar product of the stored weight and input, both of which are represented with signed ternary precision. Further, using multi word-line assertion of STeP-CiM cells, we achieve massively parallel computation of dot products of signed ternary inputs and weights. Our array level analysis shows 91% lower delay and improvements of 15% and 91% in energy for in-memory multiply-and-accumulate operations compared to near-memory design approaches based on 2D FET based SRAM and PeFET respectively. We also analyze the system-level implications of STeP-CiM by deploying it in a ternary DNN accelerator. STeP-CiM exhibits 6.11× - 8.91× average improvement in performance and 3.2× average improvement in energy over SRAM based near-memory design. We also compare STeP-CiM to near-memory design based on PeFETs showing 5.67× - 6.13× average performance improvement and 6.07× average energy savings. BUY Open New method to revisit the gravitational lensing analysis of the Bullet Cluster using radio waves Gravitational lensing studies of the Bullet Cluster suggested convincingly in favour of the existence of dark matter. However, it was performed without the knowledge of the original orientation of each galaxy before gravitational lensing. A potential improvement to this issue lies in the measurement of the original orientation from the polarization direction of radio waves emitted from each galaxy. In this context, Francfort et al. derived a formula that can utilize the information about the original orientation of each galaxy to obtain what is called shear. However, we demonstrate that shear in their formula should be replaced by reduced shear when the change in sizes of images of galaxies is taken into account. As the previous gravitational lensing analysis of the Bullet Cluster used reduced shear, we suggest applying our improved formula directly for the reanalysis once we obtain the polarization direction of radio waves. In particular, we show that our new formula can yield a more accurate analysis than the previous one, if the polarization direction can be measured more precisely than 10◦. 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