Modeling interaction of ultrashort pulses with ENZ materials |
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| Institution: | 1. Chaire Internationale de Physique Mathématique et Applications (CIPMA), Bénin;2. Département de Physique, Faculté des Sciences et Techniques (FAST), Bénin;3. Institut de Mathématiques et de Sciences Physiques (IMSP), Bénin;4. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–4900, USA;5. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;6. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow 115409, Russian Federation;7. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, Pretoria, South Africa;8. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;9. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt;2. College of Business Administration in Majmaah, Majmaah University 11952, Kingdom of Saudi Arabia;1. Department of Mathematics, Central University of Rajasthan, Kishangarh 305817, India;2. Department of Mathematics, DIT University, Dehradun 248009, India;1. Laboratoire de Matière Condensée et Sciences Interdisciplinaries (LaMCScl), P. O. Box 1014, Faculty of Sciences, Mohammed V University of Rabat, Morocco;2. Cátedra CONACyT, Instituto Nacional de Astrofísica, Óptica y Electrónica, (INAOE), Tonantzintla, 72840 Puebla, Mexico;3. Computer Science Department, Instituto Nacional de Astrofísica, Óptica y Electrónica, (INAOE), Tonantzintla, 72840 Puebla, Mexico;1. Department of Electrical, Electronic and Systems Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia;2. Department of Electrical Engineering, Qatar University, Doha 2713, Qatar;3. Department of Computer and Communication Engineering, Faculty of Computer Science and Engineering, Patuakhali Science and Technology University, Bangladesh;1. Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan;2. Department of Physics and Center for High Energy Physics, Chung-Yuan Christian University, Chung-Li 32023, Taiwan;3. Department of Physics, Pukyong National University (PKNU), Busan 608–737, Republic of Korea |
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| Abstract: | In this work, the split-step Fourier method for beam propagation is used to investigate the interaction of ultra-short pulses with epsilon-near-zero materials. The propagation of pulses is governed by the nonlinear Schrödinger equation (NLSE) containing dispersion, gain-bandwidth, self-phase modulation, self-steepening, and absorption parameters. It is found that the intensity profile of the pulse is broadened and the phase of the pulse is shifted by dispersion phenomena. The gain/loss related to the imaginary part of the refractive index causes an increase or decrease in intensity and pulse edge effects. These effects do not favor the steady propagation of the pulse. The self-phase modulation is not noted to appreciably affect the intensity pulse profile. The self-steepening modifies the phase and energy of the pulse during propagation, as well as absorption, which influences the losses by both the linear and nonlinear effects. |
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