Abdul Majeed, Imdad Ullah, Fuad S. Alduais, Afrah Al Bossly, Rawan Bossly, Amir Ali
{"title":"Investigation of Rotary Photon Drag of Generated Structured Light in a Five Level Atomic Medium","authors":"Abdul Majeed, Imdad Ullah, Fuad S. Alduais, Afrah Al Bossly, Rawan Bossly, Amir Ali","doi":"10.1002/adts.202401307","DOIUrl":null,"url":null,"abstract":"The structured rotary photon drag is generated in a multiple-level atomic medium driven by a probe and many control fields. The rotary photon drag is affected by the topological charges (<span data-altimg=\"/cms/asset/e538cb13-1ef5-4937-8b33-c8ada8b10429/adts202401307-math-0001.png\"></span><mjx-container ctxtmenu_counter=\"5\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adts202401307-math-0001.png\"><mjx-semantics><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"script\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"script l\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:25130390:media:adts202401307:adts202401307-math-0001\" display=\"inline\" location=\"graphic/adts202401307-math-0001.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"script\" data-semantic-role=\"latinletter\" data-semantic-speech=\"script l\" data-semantic-type=\"identifier\">ℓ</mi>$\\ell$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) of control fields. Both normal and abnormal rotary photon drag are described. According to the <span data-altimg=\"/cms/asset/7decbc42-ee10-4f6f-a453-1416a9ab2b2e/adts202401307-math-0002.png\"></span><mjx-container ctxtmenu_counter=\"6\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adts202401307-math-0002.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"2\" data-semantic- data-semantic-role=\"implicit\" data-semantic-speech=\"2 script l\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"3\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"script\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:25130390:media:adts202401307:adts202401307-math-0002\" display=\"inline\" location=\"graphic/adts202401307-math-0002.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"2\" data-semantic-role=\"implicit\" data-semantic-speech=\"2 script l\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"3\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"script\" data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">ℓ</mi></mrow>$2\\ell$</annotation></semantics></math></mjx-assistive-mml></mjx-container> condition in the medium, normal and anomalous rotary photon drag are enhanced. The highest value of normal rotary photon drag is investigated to <span data-altimg=\"/cms/asset/cd0e3e05-2efb-419d-8506-0cc726eb5203/adts202401307-math-0003.png\"></span><mjx-container ctxtmenu_counter=\"7\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adts202401307-math-0003.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"1\" data-semantic-content=\"0\" data-semantic- data-semantic-role=\"positive\" data-semantic-speech=\"plus 100\" data-semantic-type=\"prefixop\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,+\" data-semantic-parent=\"2\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" rspace=\"1\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:25130390:media:adts202401307:adts202401307-math-0003\" display=\"inline\" location=\"graphic/adts202401307-math-0003.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"1\" data-semantic-content=\"0\" data-semantic-role=\"positive\" data-semantic-speech=\"plus 100\" data-semantic-type=\"prefixop\"><mo data-semantic-=\"\" data-semantic-operator=\"prefixop,+\" data-semantic-parent=\"2\" data-semantic-role=\"addition\" data-semantic-type=\"operator\">+</mo><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">100</mn></mrow>$+100$</annotation></semantics></math></mjx-assistive-mml></mjx-container> radian, and the highest value of anomalous rotary photon drag is investigated to <span data-altimg=\"/cms/asset/25b6ed77-18fb-462f-ad06-303a615f3f35/adts202401307-math-0004.png\"></span><mjx-container ctxtmenu_counter=\"8\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adts202401307-math-0004.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"1\" data-semantic-content=\"0\" data-semantic- data-semantic-role=\"negative\" data-semantic-speech=\"negative 80\" data-semantic-type=\"prefixop\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" rspace=\"1\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:25130390:media:adts202401307:adts202401307-math-0004\" display=\"inline\" location=\"graphic/adts202401307-math-0004.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"1\" data-semantic-content=\"0\" data-semantic-role=\"negative\" data-semantic-speech=\"negative 80\" data-semantic-type=\"prefixop\"><mo data-semantic-=\"\" data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">80</mn></mrow>$-80$</annotation></semantics></math></mjx-assistive-mml></mjx-container> radian in the position range of <span data-altimg=\"/cms/asset/0fd9c284-c067-4649-b273-0b1045d8c7a0/adts202401307-math-0005.png\"></span><mjx-container ctxtmenu_counter=\"9\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adts202401307-math-0005.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"18,7,22\" data-semantic-content=\"7\" data-semantic- data-semantic-role=\"sequence\" data-semantic-speech=\"minus 1 mu m less than or equals x comma y less than or equals 1 mu m\" data-semantic-type=\"punctuated\"><mjx-mrow data-semantic-children=\"17,6\" data-semantic-content=\"5\" data-semantic- data-semantic-parent=\"23\" data-semantic-role=\"inequality\" data-semantic-type=\"relseq\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"16\" data-semantic-content=\"0\" data-semantic- data-semantic-parent=\"18\" data-semantic-role=\"negative\" data-semantic-type=\"prefixop\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"17\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" rspace=\"1\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"1,3,4\" data-semantic-content=\"14,15\" data-semantic- data-semantic-parent=\"17\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"16\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"16\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.33em;\"></mjx-mspace><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"16\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"16\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"16\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"relseq,≤\" data-semantic-parent=\"18\" data-semantic-role=\"inequality\" data-semantic-type=\"relation\" rspace=\"5\" space=\"5\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"18\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\" rspace=\"3\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-children=\"8,21\" data-semantic-content=\"9\" data-semantic- data-semantic-parent=\"23\" data-semantic-role=\"inequality\" data-semantic-type=\"relseq\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"relseq,≤\" data-semantic-parent=\"22\" data-semantic-role=\"inequality\" data-semantic-type=\"relation\" rspace=\"5\" space=\"5\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"10,12,13\" data-semantic-content=\"19,20\" data-semantic- data-semantic-parent=\"22\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"21\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"21\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.33em;\"></mjx-mspace><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"21\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"21\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"21\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:25130390:media:adts202401307:adts202401307-math-0005\" display=\"inline\" location=\"graphic/adts202401307-math-0005.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"18,7,22\" data-semantic-content=\"7\" data-semantic-role=\"sequence\" data-semantic-speech=\"minus 1 mu m less than or equals x comma y less than or equals 1 mu m\" data-semantic-type=\"punctuated\"><mrow data-semantic-=\"\" data-semantic-children=\"17,6\" data-semantic-content=\"5\" data-semantic-parent=\"23\" data-semantic-role=\"inequality\" data-semantic-type=\"relseq\"><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"16\" data-semantic-content=\"0\" data-semantic-parent=\"18\" data-semantic-role=\"negative\" data-semantic-type=\"prefixop\"><mo data-semantic-=\"\" data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"17\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"1,3,4\" data-semantic-content=\"14,15\" data-semantic-parent=\"17\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"16\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn><mspace data-semantic-=\"\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"16\" data-semantic-role=\"space\" data-semantic-type=\"operator\" width=\"0.33em\"></mspace><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"16\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">μ</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"16\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"16\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">m</mi></mrow></mrow><mo data-semantic-=\"\" data-semantic-operator=\"relseq,≤\" data-semantic-parent=\"18\" data-semantic-role=\"inequality\" data-semantic-type=\"relation\">≤</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"18\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">x</mi></mrow><mo data-semantic-=\"\" data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\">,</mo><mrow data-semantic-=\"\" data-semantic-children=\"8,21\" data-semantic-content=\"9\" data-semantic-parent=\"23\" data-semantic-role=\"inequality\" data-semantic-type=\"relseq\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">y</mi><mo data-semantic-=\"\" data-semantic-operator=\"relseq,≤\" data-semantic-parent=\"22\" data-semantic-role=\"inequality\" data-semantic-type=\"relation\">≤</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"10,12,13\" data-semantic-content=\"19,20\" data-semantic-parent=\"22\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"21\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn><mspace data-semantic-=\"\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"21\" data-semantic-role=\"space\" data-semantic-type=\"operator\" width=\"0.33em\"></mspace><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"21\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">μ</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"21\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"21\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">m</mi></mrow></mrow></mrow>$-1\\ \\umu m\\le x,y\\le 1\\ \\umu m$</annotation></semantics></math></mjx-assistive-mml></mjx-container>. The modified work of this manuscript is significant for sensing technology, photodetectors, and optical fiber communication.","PeriodicalId":7219,"journal":{"name":"Advanced Theory and Simulations","volume":"9 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Theory and Simulations","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/adts.202401307","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
The structured rotary photon drag is generated in a multiple-level atomic medium driven by a probe and many control fields. The rotary photon drag is affected by the topological charges () of control fields. Both normal and abnormal rotary photon drag are described. According to the condition in the medium, normal and anomalous rotary photon drag are enhanced. The highest value of normal rotary photon drag is investigated to radian, and the highest value of anomalous rotary photon drag is investigated to radian in the position range of . The modified work of this manuscript is significant for sensing technology, photodetectors, and optical fiber communication.
期刊介绍：
Advanced Theory and Simulations is an interdisciplinary, international, English-language journal that publishes high-quality scientific results focusing on the development and application of theoretical methods, modeling and simulation approaches in all natural science and medicine areas, including:
materials, chemistry, condensed matter physics
engineering, energy
life science, biology, medicine
atmospheric/environmental science, climate science
planetary science, astronomy, cosmology
method development, numerical methods, statistics
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