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1

Hadley, G. Ronald. "Index-guided arrays with a large index step." Optics Letters 14, no. 6 (March 15, 1989): 308. http://dx.doi.org/10.1364/ol.14.000308.

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2

Exner, Kai S. "The electrochemical-step asymmetry index." MethodsX 8 (2021): 101590. http://dx.doi.org/10.1016/j.mex.2021.101590.

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3

Zitelli, Mario, Yifan Sun, Mario Ferraro, Fabio Mangini, Oleg Sidelnikov, Vincent Couderc, and Stefan Wabnitz. "Multimode solitons in step-index fibers." Optics Express 30, no. 4 (February 11, 2022): 6300. http://dx.doi.org/10.1364/oe.446482.

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4

Applegate, Matthew B., Giovanni Perotto, David L. Kaplan, and Fiorenzo G. Omenetto. "Biocompatible silk step-index optical waveguides." Biomedical Optics Express 6, no. 11 (October 2, 2015): 4221. http://dx.doi.org/10.1364/boe.6.004221.

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5

HAMED, A. M. "Step index fibre using laser interferometer." Pramana 82, no. 3 (March 2014): 529–36. http://dx.doi.org/10.1007/s12043-014-0706-9.

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6

Montanari, G. B., P. De Nicola, S. Sugliani, A. Menin, A. Parini, A. Nubile, G. Bellanca, M. Chiarini, M. Bianconi, and G. G. Bentini. "Step-index optical waveguide produced by multi-step ion implantation in LiNbO_3." Optics Express 20, no. 4 (February 8, 2012): 4444. http://dx.doi.org/10.1364/oe.20.004444.

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7

Nötzel, R., D. Eissler, M. Hohenstein, and K. Ploog. "Periodic mesoscopic step arrays by step bunching on high‐index GaAs surfaces." Journal of Applied Physics 74, no. 1 (July 1993): 431–35. http://dx.doi.org/10.1063/1.354128.

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8

Nötzel, R., D. Eissler, and K. Ploog. "Mesoscopic step arrays by periodic step bunching on high-index GaAs surfaces." Journal of Crystal Growth 127, no. 1-4 (February 1993): 1068–72. http://dx.doi.org/10.1016/0022-0248(93)90793-v.

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9

Slavchev, V., A. Dakova, N. Gocheva, I. Bozhikoliev, K. Kovachev, and A. Biswas. "Laser ring structures in step-index fibers." Journal of Physics: Conference Series 2339, no. 1 (September 1, 2022): 012007. http://dx.doi.org/10.1088/1742-6596/2339/1/012007.

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Abstract The formation and propagation of optical ring structures, given by a system of amplitude equations for the components of the electric field is investigated. The calculations are made in approximation of second-order linear dispersion and self-phase modulation. New class analytical solutions, characterizing the generation and evolution of laser ring structures in optical waveguides with step-index profile and anomalous dispersion, are described in the present work. The stability of these optical formations is a result of the specific combination of nonlinearity, diffraction and angular distribution. Laser vortices have an amplitude type of singularity which appears as depolarization of the vector field in the light radiation spot.
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10

Salih, Aqeel R. "Design of Step-Index Multimode Optical Fiber." Journal of Physics: Conference Series 1879, no. 3 (May 1, 2021): 032074. http://dx.doi.org/10.1088/1742-6596/1879/3/032074.

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11

Pandraud, G., and O. Parriaux. "Zero dispersion in step index slab waveguides." Journal of Lightwave Technology 17, no. 11 (1999): 2336–41. http://dx.doi.org/10.1109/50.803027.

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12

Berger, Charles E. H., Rob P. H. Kooyman, and Jan Greve. "Surface plasmon propagation near an index step." Optics Communications 167, no. 1-6 (August 1999): 183–89. http://dx.doi.org/10.1016/s0030-4018(99)00309-0.

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13

Jalil, Muhammad Arif Bin. "Comparison of Several Characteristics of Single Mode Step-Index (SMSI), Multimode Step-Index (MMSI), and Multimode Graded-Index (MMGI) Fibers for Optical Communication Systems." International Journal for Research in Applied Science and Engineering Technology 9, no. 12 (December 31, 2021): 566–70. http://dx.doi.org/10.22214/ijraset.2021.39284.

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Abstract: Optical fiber is a medium that made by silica or plastic, and widely used in transmitting information over longer distance especially in communication system. There are three types of fiber optic used in this project which are single mode stepindex (SMSI), multimode step-index (MMSI), and multimode graded-index (MMGI) in optical communication system. There are three objectives in this project in order to get the suitable optical fibers in the communication system. First objective is to simulate the result by using Excel and Origin software. The data and the formula of fiber optics will be key in through Excel software while the graph will be analyzed by using Origin software. The second objective is to compare the different types of fiber optics in communication system by comparing the several of their characteristics such as numerical aperture (NA), acceptance angle (θ(a)) and propagation constant (β). The performance of all types fiber optics are analyzed from the result using the standard communication wavelength of 1550 nm. The core diameter for SMSI, MMSI, and MMGI are 9, 200 and 50 μm respectively while the cladding diameter for SMSI and MMGI is 125 μm and 240 μm for MMSI. This diameter also been analyzed by using the standard value for optical communication system. Then, the comparison between SMSI, MMSI and MMGI will be made to choose the more suitable for optical communication system based on their characteristics. From the results, MMSI and MMGI give best performance compared to SMSI. After that, the third objective is to make the comparison between MMSI and MMGI in term of intermodal dispersion to compare the efficiencies of fiber optics. MMGI give the better result in terms of efficiencies for communication system compared to MMSI. Keyword: Single Mode Step-Index (SMSI), Multimode Step-Index (MMSI), Multimode Graded-Index (MMGI), Communication System, Excel and Origin Software
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14

Chung, C. J., and A. Safaai-Jazi. "Narrow-band spectral filter made of W-index and step-index fibers." Journal of Lightwave Technology 10, no. 1 (1992): 42–45. http://dx.doi.org/10.1109/50.108734.

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15

Doerr, C. R. "Beam propagation method tailored for step-index waveguides." IEEE Photonics Technology Letters 13, no. 2 (2001): 130–32. http://dx.doi.org/10.1109/68.910511.

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16

Granzow, N., S. P. Stark, M. A. Schmidt, A. S. Tverjanovich, L. Wondraczek, and P. St J. Russell. "Supercontinuum generation in chalcogenide-silica step-index fibers." Optics Express 19, no. 21 (October 6, 2011): 21003. http://dx.doi.org/10.1364/oe.19.021003.

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17

Patino-Jurado, Brayan, Juan F. Botero-Cadavid, and Jorge Garcia-Sucerquia. "Step-Index Optical Fibers With 0.88 Numerical Aperture." Journal of Lightwave Technology 37, no. 15 (August 1, 2019): 3734–39. http://dx.doi.org/10.1109/jlt.2019.2919669.

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18

Brown, Dorothy Cimino. "The Canine Orthopedic Index. Step 2: Psychometric Testing." Veterinary Surgery 43, no. 3 (February 11, 2014): 241–46. http://dx.doi.org/10.1111/j.1532-950x.2014.12141.x.

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19

Brown, Dorothy Cimino. "The Canine Orthopedic Index. Step 3: Responsiveness Testing." Veterinary Surgery 43, no. 3 (March 11, 2014): 247–54. http://dx.doi.org/10.1111/j.1532-950x.2014.12162.x.

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20

Cheng, Y. H., and W. G. Lin. "Radiation loss in bent step-index slab waveguides." Optics Letters 14, no. 21 (November 1, 1989): 1231. http://dx.doi.org/10.1364/ol.14.001231.

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21

Verrier, I., and J. P. Goure. "Effects of bending on multimode step-index fibers." Optics Letters 15, no. 1 (January 1, 1990): 15. http://dx.doi.org/10.1364/ol.15.000015.

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22

Yan Fang. "Equivalent step-index-fiber method for multicladding fibers." Journal of Lightwave Technology 11, no. 10 (1993): 1523–25. http://dx.doi.org/10.1109/50.249890.

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23

Cheng, Y. H., and W. G. Lin. "Local field in a bent step index fibre." Electronics Letters 24, no. 6 (1988): 332. http://dx.doi.org/10.1049/el:19880224.

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24

Chacón, Alejandro, Juan Carlos Moure, Antonio Espinosa, and Porfidio Hernández. "n-step FM-Index for Faster Pattern Matching." Procedia Computer Science 18 (2013): 70–79. http://dx.doi.org/10.1016/j.procs.2013.05.170.

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25

Leskova, T. A., A. A. Maradudin, and W. Zierau. "Surface plasmon polariton propagation near an index step." Optics Communications 249, no. 1-3 (May 2005): 23–35. http://dx.doi.org/10.1016/j.optcom.2005.01.014.

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26

Lamouroux, B., B. Prade, and J. Y. Vinet. "Field Deformation on a Bent Step Index Fibre." Journal of Modern Optics 38, no. 4 (April 1991): 761–75. http://dx.doi.org/10.1080/09500349114550751.

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27

Carcreff, Julie, Pascal Masselin, Catherine Boussard-Plédel, Pierre Kulinski, Johann Troles, and David Le Coq. "Step-index fibre from metal halide chalcogenide glasses." Optical Materials Express 10, no. 11 (October 9, 2020): 2800. http://dx.doi.org/10.1364/ome.408334.

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28

Li, Yi-Fan, and John W. Y. Lit. "Mode changes in step-index multimode fiber tapers." Journal of the Optical Society of America A 3, no. 1 (January 1, 1986): 161. http://dx.doi.org/10.1364/josaa.3.000161.

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29

Maalhagh-Fard, Ahmad. "One-Step Implant Index Verification and Maxillomandibular Relationship." Implant Dentistry 11, no. 2 (June 2002): 159–61. http://dx.doi.org/10.1097/00008505-200204000-00017.

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30

Conseil, C., Q. Coulombier, C. Boussard-Plédel, J. Troles, L. Brilland, G. Renversez, D. Mechin, B. Bureau, J. L. Adam, and J. Lucas. "Chalcogenide step index and microstructured single mode fibers." Journal of Non-Crystalline Solids 357, no. 11-13 (June 2011): 2480–83. http://dx.doi.org/10.1016/j.jnoncrysol.2010.11.090.

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31

Choi, Myunghwan, Matjaž Humar, Seonghoon Kim, and Seok-Hyun Yun. "Step-Index Optical Fiber Made of Biocompatible Hydrogels." Advanced Materials 27, no. 27 (June 5, 2015): 4081–86. http://dx.doi.org/10.1002/adma.201501603.

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32

Zubia, J., G. Aldabaldetreku, G. Durana, J. Arrue, and F. Jiménez. "Light propagation in multi‐step index optical fibres." Laser & Photonics Review 2, no. 3 (July 7, 2008): 182–202. http://dx.doi.org/10.1002/lpor.200710030.

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33

Zhang, Qingpeng, Yi Tan, Ge Ren, and Tao Tang. "Ray Tracing Method of Gradient Refractive Index Medium Based on Refractive Index Step." Applied Sciences 11, no. 3 (January 20, 2021): 912. http://dx.doi.org/10.3390/app11030912.

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For gradient refractive index media with large refractive index gradients, traditional ray tracing methods based on refined elements or spatial geometric steps have problems such as low tracing accuracy and efficiency. The ray tracing method based on refractive index steps proposed in this paper can effectively solve this problem. This method uses the refractive index step to replace the spatial geometric step. The starting point and the end point of each ray tracing step are on the constant refractive-index surfaces. It avoids the problem that the traditional tracing method cannot adapt to the area of sudden change in the refractive index and the area where the refractive index changes sharply. Therefore, a suitable distance can be performed in the iterative process. It can achieve high-efficiency and precise ray tracing in areas whether the refractive index changes slowly or sharply. According to the comparison of calculation examples, this method can achieve a tracing accuracy of 10−5 mm. The speed and precision of ray tracing are better than traditional methods.
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34

Hongwei, Si, Chen Yingmao, Li Li, Ma Guangyu, Shen Liuhai, Wu Zhifang, Shao Mingzhe, and Li Sijin. "A step-by-step regressed pediatric kidney depth formula validated by a reasonable index." Medicine 96, no. 13 (March 2017): e6539. http://dx.doi.org/10.1097/md.0000000000006539.

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35

Lee, H. W., M. A. Schmidt, P. Uebel, H. Tyagi, N. Y. Joly, M. Scharrer, and P. St J. Russell. "Optofluidic refractive-index sensor in step-index fiber with parallel hollow micro-channel." Optics Express 19, no. 9 (April 14, 2011): 8200. http://dx.doi.org/10.1364/oe.19.008200.

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36

Arrue, J., G. Aldabaldetreku, G. Durana, J. Zubia, I. Garces, and F. Jimenez. "Design of mode scramblers for step-index and graded-index plastic optical fibers." Journal of Lightwave Technology 23, no. 3 (March 2005): 1253–60. http://dx.doi.org/10.1109/jlt.2005.843450.

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37

Wang, Zhouxiang, Yuchen Xie, Shuangyin Huang, Han Zhou, Rui Liu, Zhifeng Liu, Min Wang, et al. "Propagation characteristics of orbital angular momentum modes at 810 nm in step-index few-mode fibers." Chinese Optics Letters 17, no. 12 (2019): 120601. http://dx.doi.org/10.3788/col201917.120601.

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38

Gaopeng Xin, Gaopeng Xin, Kun Peng Kun Peng, Zhimin Gu Zhimin Gu, Jian Zhao Jian Zhao, Ruiqin Fan Ruiqin Fan, Lu Liu Lu Liu, and Xiaofeng Xu Xiaofeng Xu. "Refractive index sensor based on a step index multimode polymer optical f iber with a micro-hole created by a miniature numerical control machine." Chinese Optics Letters 11, no. 2 (2013): 020601–20603. http://dx.doi.org/10.3788/col201311.020601.

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39

Kim, Minjung, Christa Winkler, and Susan Talley. "Binary item CFA of Behavior Problem Index (BPI) using Mplus: A step-by-step tutorial." Quantitative Methods for Psychology 17, no. 2 (June 1, 2021): 141–53. http://dx.doi.org/10.20982/tqmp.17.2.p141.

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40

SU Yu-dong, 苏于东, 魏. 勇. WEI Yong, 吴. 萍. WU Ping, 胡江西 HU Jiang-xi, and 刘春兰 LIU Chun-lan. "Step-index multimode fiber cladding surface plasma resonance sensor." Optics and Precision Engineering 27, no. 12 (2019): 2525–33. http://dx.doi.org/10.3788/ope.20192712.2525.

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41

Devaud, Louisiane, Marc Guillon, Ivan Gusachenko, and Sylvain Gigan. "Chromato-axial memory effect in step-index multimode fibers." APL Photonics 6, no. 12 (December 1, 2021): 126105. http://dx.doi.org/10.1063/5.0067892.

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42

Berganza, A., G. Aldabaldetreku, J. Zubia, G. Durana, and J. Arrue. "Misalignment Losses in Step-Index Multicore Plastic Optical Fibers." Journal of Lightwave Technology 31, no. 13 (July 2013): 2177–83. http://dx.doi.org/10.1109/jlt.2013.2263634.

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43

Ramirez-Espinoza, C., D. Salazar, R. Rangel-Rojo, J. L. Angel-Valenzuela, G. V. Vazquez, E. Flores-Romero, L. Rodriguez-Fernandez, A. Oliver, D. A. Dominguez, and H. Marquez. "Design of Step-Index Optical Waveguides by Ion Implantation." Journal of Lightwave Technology 33, no. 14 (July 15, 2015): 3052–59. http://dx.doi.org/10.1109/jlt.2015.2422684.

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44

Cook, Kevin, Geoffrey Balle, John Canning, Loïc Chartier, Tristan Athanaze, M. A. Hossain, Chunyang Han, Jade-Edouard Comatti, Yanhua Luo, and Gang-Ding Peng. "Step-index optical fiber drawn from 3D printed preforms." Optics Letters 41, no. 19 (September 28, 2016): 4554. http://dx.doi.org/10.1364/ol.41.004554.

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45

Hamza, A. A., and A. M. Nasr. "Interferometric studies on multi-mode step-index optical fibres." Pure and Applied Optics: Journal of the European Optical Society Part A 7, no. 3 (May 1998): 449–56. http://dx.doi.org/10.1088/0963-9659/7/3/006.

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46

Brown, Dorothy Cimino. "The Canine Orthopedic Index. Step 1: Devising the Items." Veterinary Surgery 43, no. 3 (February 12, 2014): 232–40. http://dx.doi.org/10.1111/j.1532-950x.2014.12142.x.

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47

Aldabaldetreku, Gotzon, Joseba Zubia, Gaizka Durana, and Jon Arrue. "Power transmission coefficients for multi-step index optical fibres." Optics Express 14, no. 4 (2006): 1413. http://dx.doi.org/10.1364/oe.14.001413.

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48

Garmire, E. "Simple solutions for modeling symmetric step-index dielectric waveguides." Journal of Lightwave Technology 6, no. 6 (June 1988): 1105–8. http://dx.doi.org/10.1109/50.4102.

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49

Ohashi, M., N. Kuwaki, C. Tanaka, N. Uesugi, and Y. Negishi. "Bend-optimised dispersion-shifted step-shaped-index (SSI) fibres." Electronics Letters 22, no. 24 (1986): 1285. http://dx.doi.org/10.1049/el:19860882.

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50

Cheng, Y. H., and W. G. Lin. "Erratum: Local field in a bent step index fibre." Electronics Letters 25, no. 7 (1989): 486. http://dx.doi.org/10.1049/el:19890334.

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