Imdad Ullah, Abdul Majeed, Amir Ali, Zareen A. Khan
{"title":"通过高磁性光学介质的反射和透射孤子","authors":"Imdad Ullah, Abdul Majeed, Amir Ali, Zareen A. Khan","doi":"10.1016/j.chaos.2024.115881","DOIUrl":null,"url":null,"abstract":"The permittivity, permeability, and tangent loss of high magneto-optical mediums are controlled and modified in this manuscript. The paramagnetism and diamagnetism are controlled by the changing of strength and phases of the coupled driving fields. In addition, the study of the electric and magnetic tangent loss involves varying the phases of the control fields. The highest positive as well as negative group index is calculated to be <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:msub><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mo>±</mml:mo><mml:mn>2</mml:mn><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">×</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>. The propagation of light in the medium corresponds to superluminal and subluminal characteristics by the positive and negative group indices. The maximum envelope of the wave <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math> is investigated to be <mml:math altimg=\"si3.svg\" display=\"inline\"><mml:mrow><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mo>±</mml:mo><mml:mn>15</mml:mn><mml:mspace width=\"1em\"></mml:mspace><mml:mi mathvariant=\"normal\">m/s</mml:mi></mml:mrow></mml:math>. Reflection and transmission pulse intensity are also studied in the corresponding medium. The reflected and transmitted pulses show bright soliton behavior with time and space variation. The reflection and transmission pulse intensity are soliton-like behaviors around the origin of space and time coordinates. Dirac delta function types, pulses, shapes of reflection, and transmission are investigated, having small shifts and spread along space coordinates. The results demonstrate significant applications in optical communications, soliton radar technology, imaging, and time cloak technologies. The soliton-like behavior enhances target recognition and signal clarity, which benefits radar systems. Solitons in optical communication prevent signal loss for longer transmissions with more capacity. Stable soliton propagation reduces blur in imaging, improving image quality and diagnostic precision.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"44 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Reflection and transmission solitons via high magneto optical medium\",\"authors\":\"Imdad Ullah, Abdul Majeed, Amir Ali, Zareen A. Khan\",\"doi\":\"10.1016/j.chaos.2024.115881\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The permittivity, permeability, and tangent loss of high magneto-optical mediums are controlled and modified in this manuscript. The paramagnetism and diamagnetism are controlled by the changing of strength and phases of the coupled driving fields. In addition, the study of the electric and magnetic tangent loss involves varying the phases of the control fields. The highest positive as well as negative group index is calculated to be <mml:math altimg=\\\"si1.svg\\\" display=\\\"inline\\\"><mml:mrow><mml:msub><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\\\"goodbreak\\\" linebreakstyle=\\\"after\\\">=</mml:mo><mml:mo>±</mml:mo><mml:mn>2</mml:mn><mml:mo linebreak=\\\"goodbreak\\\" linebreakstyle=\\\"after\\\">×</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>. The propagation of light in the medium corresponds to superluminal and subluminal characteristics by the positive and negative group indices. The maximum envelope of the wave <mml:math altimg=\\\"si2.svg\\\" display=\\\"inline\\\"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math> is investigated to be <mml:math altimg=\\\"si3.svg\\\" display=\\\"inline\\\"><mml:mrow><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\\\"goodbreak\\\" linebreakstyle=\\\"after\\\">=</mml:mo><mml:mo>±</mml:mo><mml:mn>15</mml:mn><mml:mspace width=\\\"1em\\\"></mml:mspace><mml:mi mathvariant=\\\"normal\\\">m/s</mml:mi></mml:mrow></mml:math>. Reflection and transmission pulse intensity are also studied in the corresponding medium. The reflected and transmitted pulses show bright soliton behavior with time and space variation. The reflection and transmission pulse intensity are soliton-like behaviors around the origin of space and time coordinates. Dirac delta function types, pulses, shapes of reflection, and transmission are investigated, having small shifts and spread along space coordinates. The results demonstrate significant applications in optical communications, soliton radar technology, imaging, and time cloak technologies. The soliton-like behavior enhances target recognition and signal clarity, which benefits radar systems. Solitons in optical communication prevent signal loss for longer transmissions with more capacity. Stable soliton propagation reduces blur in imaging, improving image quality and diagnostic precision.\",\"PeriodicalId\":9764,\"journal\":{\"name\":\"Chaos Solitons & Fractals\",\"volume\":\"44 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2024-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos Solitons & Fractals\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1016/j.chaos.2024.115881\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1016/j.chaos.2024.115881","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Reflection and transmission solitons via high magneto optical medium
The permittivity, permeability, and tangent loss of high magneto-optical mediums are controlled and modified in this manuscript. The paramagnetism and diamagnetism are controlled by the changing of strength and phases of the coupled driving fields. In addition, the study of the electric and magnetic tangent loss involves varying the phases of the control fields. The highest positive as well as negative group index is calculated to be ng=±2×107. The propagation of light in the medium corresponds to superluminal and subluminal characteristics by the positive and negative group indices. The maximum envelope of the wave (vg) is investigated to be vg=±15m/s. Reflection and transmission pulse intensity are also studied in the corresponding medium. The reflected and transmitted pulses show bright soliton behavior with time and space variation. The reflection and transmission pulse intensity are soliton-like behaviors around the origin of space and time coordinates. Dirac delta function types, pulses, shapes of reflection, and transmission are investigated, having small shifts and spread along space coordinates. The results demonstrate significant applications in optical communications, soliton radar technology, imaging, and time cloak technologies. The soliton-like behavior enhances target recognition and signal clarity, which benefits radar systems. Solitons in optical communication prevent signal loss for longer transmissions with more capacity. Stable soliton propagation reduces blur in imaging, improving image quality and diagnostic precision.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.