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Journal articles on the topic 'Superposition principle'

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Published: 4 June 2021
Last updated: 12 February 2022

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1

Berenbaum, May. "The Superposition Principle." American Entomologist 64, no. 4 (2018): 204–6. http://dx.doi.org/10.1093/ae/tmy058.

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2

CHISTYAKOV, SERGEI V., and SVETLANA Y. MIKHAJLOVA. "ON SOME PROPERTIES OF SUPERPOSITION OF OPTIMALITY PRINCIPLES FOR COOPERATIVE GAMES." International Game Theory Review 02, no. 01 (March 2000): 107–16. http://dx.doi.org/10.1142/s021919890000007x.

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The aim of this paper is to study the properties of superposition of optimality principles depending on the properties of optimality principles, which it is formed from. Some sufficient conditions for quasiperfectness of superposition of two optimality principles are found. It is shown, in particular, that superposition of any optimality principle like min-max principle with any monotone and continuous optimality principle is a quasiperfect optimality principle.
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3

Schumann, Thomas G. "Superposition and anthropic principle." Physics Essays 29, no. 3 (September 10, 2016): 291–92. http://dx.doi.org/10.4006/0836-1398-29.3.291.

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4

de Barros, M. A. R. P. "Application of the superposition principle." Physics Teacher 29, no. 2 (February 1991): 107. http://dx.doi.org/10.1119/1.2343232.

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5

Corichi, Alejandro. "Quantum superposition principle and geometry." General Relativity and Gravitation 38, no. 4 (February 21, 2006): 677–87. http://dx.doi.org/10.1007/s10714-006-0257-6.

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6

Niu, X. Y., X. L. Huang, Y. F. Shang, and X. Y. Wang. "Effects of superpositions of quantum states on quantum isoenergetic cycles: Efficiency and maximum power output." International Journal of Modern Physics B 29, no. 14 (May 22, 2015): 1550086. http://dx.doi.org/10.1142/s0217979215500861.

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Superposition principle plays a crucial role in quantum mechanics, thus its effects on thermodynamics is an interesting topic. Here, the effects of superpositions of quantum states on isoenergetic cycle are studied. We find superposition can improve the heat engine efficiency and release the positive work condition in general case. In the finite time process, we find the efficiency at maximum power output in superposition case is lower than the nonsuperposition case. This efficiency depends on one index of the energy spectrum of the working substance. This result does not mean the superposition discourages the heat engine performance. For fixed efficiency or fixed power, the superposition improves the power or efficiency respectively. These results show how quantum mechanical properties affect the thermodynamical cycle.
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7

Akhundov, Jafar, Peter Tröger, and Matthias Werner. "Superposition Principle in Composable Hybrid Automata." Fundamenta Informaticae 157, no. 4 (January 31, 2018): 321–39. http://dx.doi.org/10.3233/fi-2018-1630.

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8

Miller, John B., and Charles A. Smith. "The M&M superposition principle." Journal of Chemical Education 77, no. 7 (July 2000): 879. http://dx.doi.org/10.1021/ed077p879.

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9

Greenberger, Daniel M., Michael A. Horne, and Anton Zeilinger. "Multiparticle Interferometry and the Superposition Principle." Physics Today 46, no. 8 (August 1993): 22–29. http://dx.doi.org/10.1063/1.881360.

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10

Grigoryan, Artyom M., and Nan Du. "Principle of Superposition by Direction Images." IEEE Transactions on Image Processing 20, no. 9 (September 2011): 2531–41. http://dx.doi.org/10.1109/tip.2011.2128334.

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11

Dabrowski, L. "A superposition principle for mixed states?" Il Nuovo Cimento B Series 11 106, no. 9 (September 1991): 963–68. http://dx.doi.org/10.1007/bf02728340.

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12

Metri, Vishal, and W. J. Briels. "Brownian dynamics investigation of the Boltzmann superposition principle for orthogonal superposition rheology." Journal of Chemical Physics 150, no. 1 (January 7, 2019): 014903. http://dx.doi.org/10.1063/1.5080333.

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13

Nguyen, Hoang Minh, Simon Pouget, Hervé di Benedetto, and Cédric Sauzéat. "Time-temperature superposition principle for bituminous mixtures." Revue européenne de génie civil 13, no. 9 (November 14, 2009): 1095–107. http://dx.doi.org/10.3166/ejece.13.1095-1107.

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14

Bitsakis, Eftichios. "The Physical Meaning of the Superposition Principle." Physics Essays 4, no. 1 (March 1991): 124–33. http://dx.doi.org/10.4006/1.3028876.

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15

Elze, Hans-Thomas. "Multipartite cellular automata and the superposition principle." International Journal of Quantum Information 14, no. 04 (June 2016): 1640001. http://dx.doi.org/10.1142/s0219749916400013.

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Cellular automata (CA) can show well known features of quantum mechanics (QM), such as a linear updating rule that resembles a discretized form of the Schrödinger equation together with its conservation laws. Surprisingly, a whole class of “natural” Hamiltonian CA, which are based entirely on integer-valued variables and couplings and derived from an action principle, can be mapped reversibly to continuum models with the help of sampling theory. This results in “deformed” quantum mechanical models with a finite discreteness scale l, which for [Formula: see text] reproduce the familiar continuum limit. Presently, we show, in particular, how such automata can form “multipartite” systems consistently with the tensor product structures of non-relativistic many-body QM, while maintaining the linearity of dynamics. Consequently, the superposition principle is fully operative already on the level of these primordial discrete deterministic automata, including the essential quantum effects of interference and entanglement.
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16

Alexeyev, Alexander A. "A multidimensional superposition principle: classical solitons III." Physics Letters A 335, no. 2-3 (February 2005): 197–206. http://dx.doi.org/10.1016/j.physleta.2004.12.011.

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17

Alexeyev, Alexander A. "A multidimensional superposition principle: classical solitons I." Physics Letters A 278, no. 4 (January 2001): 198–208. http://dx.doi.org/10.1016/s0375-9601(00)00775-1.

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18

Zatsiorsky, Vladimir M., Mark L. Latash, Fan Gao, and Jae Kun Shim. "The principle of superposition in human prehension." Robotica 22, no. 2 (March 2004): 231–34. http://dx.doi.org/10.1017/s0263574703005344.

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The experimental evidence supports the validity of the principle of superposition for multi-finger prehension in humans. Forces and moments of individual digits are defined by two independent commands: “Grasp the object stronger/weaker to prevent slipping” and “Maintain the rotational equilibrium of the object”. The effects of the two commands are summed up.
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19

Alexeyev, Alexander A. "A Multidimensional Superposition Principle: Classical Solitons IV." Journal of Nonlinear Mathematical Physics 25, no. 1 (January 2, 2018): 1–33. http://dx.doi.org/10.1080/14029251.2018.1440740.

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20

Cinquemani, Eugenio. "A superposition principle for the Kalman filter." Systems & Control Letters 55, no. 1 (January 2006): 38–44. http://dx.doi.org/10.1016/j.sysconle.2005.04.013.

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21

Olivares, Stefano. "Superposition principle, spontaneous decoherence and C60molecule interference." Journal of Optics B: Quantum and Semiclassical Optics 4, no. 6 (November 7, 2002): 438–41. http://dx.doi.org/10.1088/1464-4266/4/6/312.

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22

MESHII, Toshiyuki, and Tomohiro TANAKA. "Formulation of Superposition Principle for Tz-stress." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 75, no. 759 (2009): 1526–30. http://dx.doi.org/10.1299/kikaia.75.1526.

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23

Nguyen, Hoang Minh, Simon Pouget, Hervé Di Benedetto, and Cédric Sauzéat. "Time-temperature superposition principle for bituminous mixtures." European Journal of Environmental and Civil Engineering 13, no. 9 (October 2009): 1095–107. http://dx.doi.org/10.1080/19648189.2009.9693176.

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24

Alexeyev, Alexander A. "A multidimensional superposition principle: classical solitons II." Journal of Physics A: Mathematical and General 36, no. 38 (September 9, 2003): 9843–64. http://dx.doi.org/10.1088/0305-4470/36/38/303.

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25

Povolo, F., and M. Fontelos. "Time-temperature superposition principle and scaling behaviour." Journal of Materials Science 22, no. 5 (May 1987): 1530–34. http://dx.doi.org/10.1007/bf01132371.

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26

Summhammer, Johann. "Maximum predictive power and the superposition principle." International Journal of Theoretical Physics 33, no. 1 (January 1994): 171–78. http://dx.doi.org/10.1007/bf00671622.

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27

Guo, J. M., X. F. Yuan, Y. Y. Li, and S. L. Dong. "A Simple Approach for Force Finding Analysis of Suspended-Domes Based on the Superposition Principle." Advances in Structural Engineering 17, no. 11 (November 2014): 1681–91. http://dx.doi.org/10.1260/1369-4332.17.11.1681.

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This paper proposes a simple approach for force finding analysis of suspended-domes based on the superposition principle. First, the feasibility of the superposition principle in a suspended-dome during tension is validated using an experimental model and the corresponding numerical model. Following that, a simplified computational method for force finding based on the superposition principle is presented. Taking a suspended-dome as an illustrative example, the initial strain at zero state is calculated by force finding, and the difference between the simplified computational method and the iterative method is investigated. The results show that the superposition principle is nearly feasible during tension and the proposed simple approach is accurate and can easily obtain the actual initial pre-stress of a suspended-dome.
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28

Dodd, R. K. "The SG superposition principle in terms of rotations." Physics Letters A 295, no. 2-3 (March 2002): 139–41. http://dx.doi.org/10.1016/s0375-9601(02)00075-0.

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29

POVOLO, F., M. FONTELOS, and E. HERMIDA. "RELAXATION PHENOMENA AND THE TIME-TEMPERATURE SUPERPOSITION PRINCIPLE." Le Journal de Physique Colloques 48, no. C8 (December 1987): C8–353—C8–357. http://dx.doi.org/10.1051/jphyscol:1987852.

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30

Tan, Matthias H. Y., and Guilin Li. "Gaussian Process Modeling Using the Principle of Superposition." Technometrics 61, no. 2 (July 31, 2018): 202–18. http://dx.doi.org/10.1080/00401706.2018.1473799.

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31

Jex, Igor, and Vladimír Bužek. "Multiphoton Coherent States and the Linear Superposition Principle." Journal of Modern Optics 40, no. 5 (May 1993): 771–83. http://dx.doi.org/10.1080/09500349314550811.

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32

Carter, S. E., and D. C. Malocha. "Finite impulse response utilizing the principle of superposition." IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 44, no. 2 (March 1997): 386–98. http://dx.doi.org/10.1109/58.585123.

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33

Lehmann, Kevin K., and Daniele Romanini. "The superposition principle and cavity ring‐down spectroscopy." Journal of Chemical Physics 105, no. 23 (December 15, 1996): 10263–77. http://dx.doi.org/10.1063/1.472955.

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34

Ma, Wen-Xiu. "Bilinear equations, Bell polynomials and linear superposition principle." Journal of Physics: Conference Series 411 (January 28, 2013): 012021. http://dx.doi.org/10.1088/1742-6596/411/1/012021.

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35

Zhang, Lijun, Chaudry Masood Khalique, and Wen-Xiu Ma. "Classifying bilinear differential equations by linear superposition principle." International Journal of Modern Physics B 30, no. 28n29 (November 10, 2016): 1640029. http://dx.doi.org/10.1142/s0217979216400294.

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In this paper, we investigate the linear superposition principle of exponential traveling waves to construct a sub-class of [Formula: see text]-wave solutions of Hirota bilinear equations. A necessary and sufficient condition for Hirota bilinear equations possessing this specific sub-class of [Formula: see text]-wave solutions is presented. We apply this result to find [Formula: see text]-wave solutions to the (2+1)-dimensional KP equation, a (3+1)-dimensional generalized Kadomtsev–Petviashvili (KP) equation, a (3+1)-dimensional generalized BKP equation and the (2+1)-dimensional BKP equation. The inverse question, i.e., constructing Hirota Bilinear equations possessing [Formula: see text]-wave solutions, is considered and a refined 3-step algorithm is proposed. As examples, we construct two very general kinds of Hirota bilinear equations of order 4 possessing [Formula: see text]-wave solutions among which one satisfies dispersion relation and another does not satisfy dispersion relation.
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36

Adler, V. E. "Nonlinear superposition principle for the Jordan NLS equation." Physics Letters A 190, no. 1 (July 1994): 53–58. http://dx.doi.org/10.1016/0375-9601(94)90365-4.

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37

Ma, Wen-Xiu, and Engui Fan. "Linear superposition principle applying to Hirota bilinear equations." Computers & Mathematics with Applications 61, no. 4 (February 2011): 950–59. http://dx.doi.org/10.1016/j.camwa.2010.12.043.

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38

Gl�ckle, W. G., and T. F. Nonnenmacher. "Fractional relaxation and the time-temperature superposition principle." Rheologica Acta 33, no. 4 (1994): 337–43. http://dx.doi.org/10.1007/bf00366960.

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39

Brustad, Karl K. "Superposition of p-superharmonic functions." Advances in Calculus of Variations 13, no. 2 (April 1, 2020): 155–77. http://dx.doi.org/10.1515/acv-2017-0030.

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AbstractThe dominative p-Laplace operator is introduced. This operator is a relative to the p-Laplacian, but with the distinguishing property of being sublinear. It explains the superposition principle in the p-Laplace equation.
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40

Wang, Xiao Guang, Ya Li Xie, Yuan Fen Wang, and Zhong Hai Zuo. "Research on Multi-Sectoral Synergetic Mechanism for Emergent Decision-Making on Critical Incidents." Applied Mechanics and Materials 66-68 (July 2011): 1001–5. http://dx.doi.org/10.4028/www.scientific.net/amm.66-68.1001.

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Emergency decision making is the core link and key content of crisis emergent management. The conventional decision-making principle cannot meet the needs of emergent decision-making. Therefore, general linear superposition principle is not applicable any more, and the synergetic principle must be followed in emergent decision-making on critical incidents. Basic principles of making emergent decision and approaches to multi-sectoral synergetic mechanism innovation relating to emergency decision making is presented in the article.
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41

CARIÑENA, J. F., G. MARMO, and J. NASARRE. "THE NONLINEAR SUPERPOSITION PRINCIPLE AND THE WEI-NORMAN METHOD." International Journal of Modern Physics A 13, no. 21 (August 20, 1998): 3601–27. http://dx.doi.org/10.1142/s0217751x98001694.

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Group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle. The Wei–Norman method is applied to obtain the associated differential equation in the group SL(2, ℝ). The superposition principle for first order differential equation systems and Lie–Scheffers theorem are also analyzed from this group theoretical perspective. Finally, the theory is applied in the solution of second order differential equations like time independent Schrödinger equation.
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42

Warrant, E., K. Bartsch, and C. Günther. "Physiological optics in the hummingbird hawkmoth: a compound eye without ommatidia." Journal of Experimental Biology 202, no. 5 (March 1, 1999): 497–511. http://dx.doi.org/10.1242/jeb.202.5.497.

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The fast-flying day-active hawkmoth Macroglossum stellatarum (Lepidoptera: Sphingidae) has a remarkable refracting superposition eye that departs radically from the classical principles of Exnerian superposition optics. Unlike its classical counterparts, this superposition eye is highly aspherical and contains extensive gradients of resolution and sensitivity. While such features are well known in apposition eyes, they were thought to be impossible in superposition eyes because of the imaging principle inherent in this design. We provide the first account of a superposition eye where these gradients are not only possible, but also produce superposition eyes of unsurpassed quality. Using goniometry and ophthalmoscopy, we find that superposition images formed in the eye are close to the diffraction limit. Moreover, the photoreceptors of the superposition eyes of M. stellatarum are organised to form local acute zones, one of which is frontal and slightly ventral, and another of which provides improved resolution along the equator of the eye. This angular packing of rhabdoms bears no resemblance to the angular packing of the overlying corneal facets. In fact, this eye has many more rhabdoms than facets, with up to four rhabdoms per facet in the frontal eye, a situation which means that M. stellatarum does not possess ommatidia in the accepted sense. The size of the facets and the area of the superposition aperture are both maximal at the frontal retinal acute zone. By having larger facets, a wider aperture and denser rhabdom packing, the frontal acute zone of M. stellatarum provides the eye with its sharpest and brightest image and samples the image with the densest photoreceptor matrix. It is this eye region that M. stellatarum uses to fixate flower entrances during hovering and feeding. This radical departure from classical Exnerian principles has resulted in a superposition eye which has not only high sensitivity but also outstanding spatial resolution.
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43

Bogachev, V. I., M. Röckner, and S. V. Shaposhnikov. "On the superposition principle for Fokker-Planck-Kolmogorov equations." Доклады Академии наук 487, no. 5 (September 2, 2019): 483–86. http://dx.doi.org/10.31857/s0869-56524875483-486.

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We give a generalization of the so-called superposition principle for probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equation, according to which such a solution is generated by a solution to the corresponding martingale problem.
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44

Maslov, V. P. "On a new principle of superposition for optimization problems." Russian Mathematical Surveys 42, no. 3 (June 30, 1987): 43–54. http://dx.doi.org/10.1070/rm1987v042n03abeh001439.

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45

Muradyan, Gevorg, and Atom Zh Muradyan. "Quantum superposition principle and generation of short optical pulses." Journal of Physics: Conference Series 350 (March 14, 2012): 012006. http://dx.doi.org/10.1088/1742-6596/350/1/012006.

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46

Bogachev, V. I., M. Röckner, and S. V. Shaposhnikov. "On the Superposition Principle for Fokker–Planck–Kolmogorov Equations." Doklady Mathematics 100, no. 1 (July 2019): 363–66. http://dx.doi.org/10.1134/s1064562419040136.

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47

Lahti, Pekka J. "A coherent superposition principle and the hilbertian quantum theory." Reports on Mathematical Physics 22, no. 1 (August 1985): 49–62. http://dx.doi.org/10.1016/0034-4877(85)90005-9.

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48

Balbaert, I., and P. Joos. "The dynamic surface tension and the boltzmann superposition principle." Colloids and Surfaces 23, no. 3 (March 1989): 259–66. http://dx.doi.org/10.1016/0166-6622(89)80339-7.

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49

Röckner, Michael, Longjie Xie, and Xicheng Zhang. "Superposition principle for non-local Fokker–Planck–Kolmogorov operators." Probability Theory and Related Fields 178, no. 3-4 (July 13, 2020): 699–733. http://dx.doi.org/10.1007/s00440-020-00985-8.

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50

Lei, Shiwen, Haoquan Hu, Bo Chen, Zhipeng Lin, Jing Tian, Wei Yang, Pu Tang, and Xiangdong Qiu. "Analytical scannable‐shaped beam pattern synthesis via superposition principle." IET Microwaves, Antennas & Propagation 15, no. 6 (March 23, 2021): 600–605. http://dx.doi.org/10.1049/mia2.12083.

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