Investigation of Rotary Photon Drag of Generated Structured Light in a Five Level Atomic Medium

IF 2.9 4区 工程技术 Q1 MULTIDISCIPLINARY SCIENCES
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 ($\ell$) of control fields. Both normal and abnormal rotary photon drag are described. According to the 2$2\ell$ condition in the medium, normal and anomalous rotary photon drag are enhanced. The highest value of normal rotary photon drag is investigated to +100$+100$ radian, and the highest value of anomalous rotary photon drag is investigated to 80$-80$ radian in the position range of 1μmx,y1μm$-1\ \umu m\le x,y\le 1\ \umu m$. The modified work of this manuscript is significant for sensing technology, photodetectors, and optical fiber communication.

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来源期刊
Advanced Theory and Simulations
Advanced Theory and Simulations Multidisciplinary-Multidisciplinary
CiteScore
5.50
自引率
3.00%
发文量
221
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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