pearcey光束的传输特性研究

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1、硕士学位论文Pearcey光束的传输特性研究STUDYONTHEPROPAGATIONPROPERTIESOFPEARCEYBEAMSᶘሿ⌒哈尔滨工业大学2015ᒤ6ᴸഭ޵മҖ࠶㊫ਧ˖O436.1学ṑԓ⸱˖10213ഭ䱵മҖ࠶㊫ਧ˖535.4ᇶ㓗˖ޜᔰ⨶学硕士学位论文Pearcey光束的传输特性研究硕士研究生˖ᶘሿ⌒导师˖ࡈṁ⭠ᮉᦸ申请学位˖⨶学硕士学科˖学所在单位˖⢙⨶㌫答辩日期˖2015ᒤ6ᴸ授予学位单位˖૸ቄ┘ᐕъབྷ学ClassifiedIndex:O436.1U.D.C:535.4DissertationfortheMasterDegreei

2、nScienceSTUDYONTHEPROPAGATIONPROPERTIESOFPEARCEYBEAMSCandidate:YangXiaoboSupervisor:Prof.LiuShutianAcademicDegreeAppliedfor:MasterofScienceSpecialty:OpticsAffiliation:DepartmentofPhysicsDateofDefense:June,2015Degree-Conferring-Institution:HarbinInstituteofTechnology૸ቄ┘ᐕъབྷ学⨶学硕士学

3、位论文摘要Pearceyᶏᱟᱟᇊѹ൘ᰐェབྷオ䰤Ⲵ㔃ᶴнਈᶏ,ަ༽ᥟᑵ࠶ᐳਟԕ⭘Pearcey࠭ᮠᶕ᧿䘠ˈᆳ൘オ䰤Ր䗃Ⲵ䗷〻ѝՊਁ⭏⁚ੁᒣ〫ˈާᴹ㠚㚊❖઼㠚᜸ਸⲴᙗ䍘DŽሩPearceyᶏ൘オ䰤Ր䗃䗷〻ѝⲴ䘉Ӌᙗ䍘Ⲵ⹄ウˈᴹࣙҾሶަᓄ⭘Ҿᱮᗞᡀۿǃ学䲧䱡઼㋂ᆀ᫽㓥ㅹ亶ฏDŽᵜ论文俆ሶᕅޕ❖ᮓ㓯(caustic)ˈᤷࠪPearceyᶏᱟቆ⛩(cusp)❖ᮓ㓯䱴䘁Ⲵ㹽ሴᶏDŽ䙊䗷䇑㇇Pearcey〟࠶࠭ᮠˈ㔉ࠪPearceyᶏⲴ༽ᥟᑵ࠶ᐳˈ❦ਾሩަ֌ڵ䟼ਦਈᦒˈ㔃᷌㺘᰾Pearceyᶏ൘仁ฏᱟ⋯⵰ᣋ⢙㓯࠶ᐳⲴˈᣋ⢙㓯к਴⛩䜭ᱟ࠭ᮠˈ仍ཆਇࡠањо仁ฏ඀ḷᡀഋ⅑

4、ᯩⲴ⴨位ഐᆀⲴ䈳ࡦDŽ↔ཆ䘈䇑㇇ҶPearceyᶏⲴඑঠᔧ⸒䟿઼䀂ࣘ䟿ˈሩަสᵜᙗ䍘䘋㹼Ҷ䇘论DŽ❦ਾ᧘ሬҶPearceyᶏ൘㠚⭡オ䰤Ր䗃ᰦ༽ᥟᑵ࠶ᐳⲴ䀓᷀㺘䗮ᔿˈPearceyᶏՐ䗃ࡠԫ᜿䐍⿫༴䜭ਟԕ⭘Pearcey࠭ᮠᶕ᧿䘠ަ༽ᥟᑵ࠶ᐳˈਚᱟ൘оՐ䗃ᯩੁ඲ⴤⲴ⁚ᡚ䶒кՊਁ⭏н਼ቪᓖⲴ㕙᭮ˈᒦф൘⁚ᡚ䶒к䲿⵰Ր䗃䐍⿫Ⲵ໎࣐Պ㓯ᙗᒣ〫DŽ䙊䗷ᮠ٬䇑㇇ˈ㔉ࠪҶPearceyᶏ൘Ր䗃䗷〻ѝн਼⁚ᡚ䶒кⲴᕪ࠶ᐳˈަՐ䗃ࡠ⢩ᇊ䐍⿫༴Պਁ⭏㠚㚊❖⧠䊑ˈᡀѪаᶑ㜭䟿ᰐェབྷⲴӞ㓯ˈՐ䗃䐍⿫㔗㔝໎བྷˈPearceyᶏⲴ⁚ᡚ䶒൪࠶ᐳՊਁ⭏㘫䖜DŽ䇑㇇൘н਼Ր䗃䐍⿫༴Ⲵඑঠᔧ⸒

5、䟿ˈᤷࠪᱟPearceyᶏ⢩ᇊᯩੁⲴ㜭䟿⍱ࣘሬ㠤Ҷ䘉Ӌ⧠䊑DŽ↔ཆ䘈᧘ሬҶPearceyᶏ㻛儈ᯟ੨᭦ቿ䚞ᥑਾ൘㠚⭡オ䰤Ր䗃Ⲵ༽ᥟᑵ࠶ᐳ䀓᷀㺘䗮ᔿˈਁ⧠䳌⺽⢙ᒦнᖡ૽PearceyᶏⲴ⁚ੁᒣ઼〫㠚㚊❖ᙗ䍘ˈ㘼фᖃՐ䗃䐍⿫䏣ཏབྷᰦˈ䳌⺽⢙Ⲵᖡ૽Պ䙀⑀⎸ཡˈণPearceyᶏާᴹ㠚᜸ਸᙗ䍘DŽᵜ论文㓿䗷ᮠPearceyሩ⢙⺽䳌Ⲵ㖞位઼ሿབྷ਼нҶ᷀࠶ˈ㇇䇑٬ᶏ㠚᜸ਸᙗ䍘Ⲵᖡ૽DŽ⹄ウਁ⧠䳌⺽⢙Ⲵቪረ䎺བྷˈ䳌⺽⢙Ⲵ位㖞⿫ѫ⬓䎺䘁ˈPearceyᶏ㠚᜸ਸ䗷〻䘋㹼Ⲵ䎺ធˈᆼᡀ㠚᜸ਸ䴰㾱ⲴՐ䗃䐍⿫䎺䘌ˈ䳌⺽⢙඀ḷ༴઼ѫ⬓кⲴᕪᚒ༽Ⲵ䎺ធDŽᒦф൘PearceyᶏՐ䗃ࡠаᇊ䐍

6、⿫ᰦˈѫ⬓кՊࠪ⧠ањᕪᓖ∄ᰐ䳌⺽⢙ᖡ૽ᰦᴤབྷⲴӞᯁˈ䳌⺽⢙ቪረ䎺བྷˈᡆ㘵䳌⺽⢙⿫ѫ⬓䎺䘁ˈӞᯁᕪᓖ䎺བྷDŽᴰਾ䘈䇑㇇Ҷඑঠᔧ⸒䟿ˈਁ⧠䳌⺽⢙Պሬ㠤ⲴઘതⲴ㜭䟿⍱ޕ䳌⺽⢙位㖞༴ˈ䘉ਟԕ⭘ᶕ䀓䟺PearceyᶏⲴ㠚᜸ਸ⧠䊑DŽ-I-૸ቄ┘ᐕъབྷ学⨶学硕士学位论文关键词：ཷᔲ学˗ⲴՐ᫝˗㹽ሴ⨶论˗Pearceyᶏ˗㠚᜸ਸ-II-૸ቄ┘ᐕъབྷ学⨶学硕士学位论文AbstractThePearceybeam(PB)-basedonthePearceyfunction,hasinfiniteenergy.Itdis-playsaninherentself-focus

7、ingandselfhealingpropertiesonpropagation.InvestigatingthepropertiesofPBcanservetoapplyittomicroscopy,opticaltrappingandmicroma-nipulation.Firstly,wewillintroducethecaustic,andshowthatthePearceyfunctiondiscribesdiffractionnearacuspcaustic.ThenwecalculatethePearceyintegraltogetth

8、ecomplexamplitudeofPB.TheFouriertransformationofPearce