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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 工程科學及海洋工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/26646
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor薛文証
dc.contributor.authorRueng-Feng Chenen
dc.contributor.author陳榮峰zh_TW
dc.date.accessioned2021-06-08T07:19:00Z-
dc.date.copyright2008-07-30
dc.date.issued2007
dc.date.submitted2008-07-24
dc.identifier.citation[1] A. S. Barker, Jr., J. L. Merz, and A. C. Gossard, “Study od zone-folding effects on phonons in alternating monolayers of GaAs-AlAs,” Phys. Rev. B, vol. 17, pp.3181 – 3196 (1978).
[2] C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett., vol. 45, pp. 298 – 301 (1980).
[3] R. E. Camley, B. Djafari-Rouhani, L. Dobrzynski, A. A. Maradudin, ”Transverse elastic waves in periodically iayered infinite and semi-infinite media,” Phys. Rev. B, vol. 27, pp.7318 – 7329 (1983).
[4] C. Colvard, T. A. Gant, M. V. Klein, R. Merkin, R. Fischer, H. Morkoc, and A.C. Gossard, “Folded acoustic and quantized optic phonons in (GaAl)As superlattices,” Phys. Rev. B, vol. 31, pp.2080 – 2091 (1985).
[5] E. Yablonovithch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett., vol. 58, pp.2059 – 2062 (1987).
[6] S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett., vol. 58, pp.2486 – 2489 (1987).
[7] E. Yablonovithch, T. J. Gmitter, and R. Bhat, “Inhibited and enhanced spontaneous emission from optically thin AlAs/GaAs double heterostructure,” Phys. Rev. Lett., vol. 61, pp.2546 – 2549 (1988).
[8] E. Yablonovithch, T. J. Gmitter, and K. M. Leung, “Photonic band structure: The face-centered-cubic case employing nonsperical atoms,” Phys. Rev. Lett., vol. 67, pp.2295 – 2298 (1991).
[9] S. Tamura, D. C. Hurley, and J.P. Wolfe, “Acoustic-phonon propagation in superlattices,” Phys. Rev. B, vol. 38, pp.1427 – 1455 (1988).
[10] J. Sapriel, and B. Djafari Rouhani, “Vibrations in superlattice,” Surf. Sci. Rep., vol. 10, pp.189 – 275 (1989).
[11] M. M. Sigalas and E. N. Economou, “Elastic and acoustic wave band structure,” J. Sound and Vib., vol. 158, pp. 377 – 382 (1992).
[12] M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, “Acoustic band structure of periodic elastic composites,” Phys. Rev. Lett., Vol. 71, No. 13, 2022 – 2025 (1993).
[13] E. H. El Boudouti, B. Djafari-Rouhani, E. M. Khourdifi, and L. Dobrzynski, “Surface and interface elastic waves in superlattice: Transverse localized and resonant modes,” Phys. Rev. B, vol. 48, pp.10987 – 10997 (1993).
[14] Wei Chen, Yu Lu Humphrey, J. Maris, and G.ang Xiao, “Picosecond ultrasonic study of localized phonon surface modes in Al/Ag superlattices,” Phys. Rev. B, vol. 50, pp.14506 – 14515 (1994).
[15] E. H. El Boudouti, B. Djafari-Rouhani, A. Akjouj, and L. Dobrzynski, “Theory of surface and interface transverse elastic waves in N-layer superlavvice,” Phys. Rev. B, vol. 54, pp.14728 – 14741 (1996).
[16] M. M. Sigalas, “Defect states of acoustic waves in a two-dimensional lattice of solid cylinders,” J. Appl. Phys., vol. 84, pp.3026 – 3030 (1998).
[17] Ke-Qiu Chen, Xue-Hua Wang, and Ben-Yuan Gu, “Localized folded acoustic phonon modes in coupled superlattices with structural defects,” Phys. Rev. B, vol. 61, pp.12075 – 12081 (2000).
[18] S. Mizuno, “Eigenfrequency and decay factor of the localized phonon in superlattice with a defect layer,” Phys. Rev. B, vol. 65, pp.193302-1 – 193302-4 (2002).
[19] M. Trigo, A. Bruchhausen, A. Fainstein, B. Jusserand, and V. Thierry-Mieg, “Confinement of acoustical vibrations in a semiconductor planar phonon cavity,” Phys. Rev. Lett., vol. 89, pp.227402-1 – 227402-4 (2002).
[20] H. Aynaou, V. R. Velasco, A. Nougaoui, E. H. El Boudouti, B. Djafari-Rouhani, and D. Bria, “Application of the phase time and transmission coefficients to stuffy of transverse elastic waves in quasiperiodic systems with planar defect,” Surf. Sci., vol. 538, pp. 101 – 112 (2003).
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/26646-
dc.description.abstract本篇論文主要目的在於分析聲頻聲子在半導體超晶格結構下的能帶與缺陷態特性,針對聲頻聲子分為垂直入射之縱向聲頻聲子與斜向入射之橫向聲頻聲子作探討。本文利用傳輸矩陣法推導其兩層與四層的能帶結構色散關係式與缺陷態特徵方程式;改變其材料排列與厚度變化,觀察在垂直入射之縱向聲頻聲子與斜向入射之橫向聲頻聲子的能帶結構與缺陷態的特性,結果發現材料排列與厚度完全相反時,能帶結構會相同。固定摻雜濃度並增加第二層厚度時,在相同的頻率範圍下會使得能隙變多,在四層超晶格結構下,單純增加第四層的厚度也會得到相同的結果,但兩層超晶格的能帶結構的變化較明顯;此外,在固定厚度下,當摻雜濃度變大時,能隙的頻率會變大;最後,改變厚度比例、摻雜濃度、與材料排列觀察缺陷態的變化,會發現缺陷態都會侷限在能隙裡面,也可觀察其奇模態與偶模態分佈的特色。zh_TW
dc.description.abstractThe purpose of this thesis is to analyze the characteristics of band structure and defect modes for acoustic phonons in semiconductor superlattice. The acoustic phonons can be separated into two parts, one is the longitudinal acoustic phonon and the other is transverse one. I use transfer matrix method to derive the dispersion relation and the defect mode equations of two-layered and four-layered semiconductor superlattice. In order to observe the characteristic of band structures and defect modes for longitudinal and transverse acoustic phonon, I change material arrangement and width. Then I find that if material arrangement and width are reversed, the band structures will be the same. Moreover, fixing doping concentration and increasing the width of the second layer, in the same range of frequency, the number of band gap will be increased. I can observe the same phenomenon in four-layered semiconductor superlattice, but the variation of the band structure in two-layered superlattice is more obvious. Furthermore, fixing the total width of the superlattice and adding the doping concentration, the frequency of the band gap will be increased. Finally, changing the width ratio of superlattice, doping concentration, and material arrangement, I can observe not only the defect modes are all localized in band gap but also the distributive characteristic of even and odd defect modes.en
dc.description.provenanceMade available in DSpace on 2021-06-08T07:19:00Z (GMT). No. of bitstreams: 1
ntu-96-R95525014-1.pdf: 1142815 bytes, checksum: 8870576631cb91604e4e180d19a33984 (MD5)
Previous issue date: 2007
en
dc.description.tableofcontents中文摘要 i
英文摘要 ii
目錄 iii
表目錄 v
圖目錄 vi
符號表 x

第一章 導論 1
1.1 背景與研究動機 1
1.2 文獻回顧 3
1.3 論文架構 5
第二章 聲子傳播原理 7
2.1 晶體簡介與特性 7
2.2 第一布里淵區 8
2.3 單原子晶體振動 9
2.4 雙原子晶體振動 11
第三章 超晶格聲子能帶 18
3.1 布洛赫理論(Bloch theorem) 20
3.2 能帶理論 20
3.3 縱向聲頻聲子 21
3.4 橫向聲頻聲子 24
3.5 數值分析與討論 26
第四章 超晶格缺陷態 50
4.1 缺陷態理論 50
4.2 縱向聲頻聲子 50
4.3 橫向聲頻聲子 53
4.4 數值分析與討論 55
第五章 結論與展望 91
5.1 結論 91
5.2 未來展望 92
參考文獻 93
dc.language.isozh-TW
dc.subject缺陷態zh_TW
dc.subject傳輸矩陣法zh_TW
dc.subject聲子zh_TW
dc.subject能帶結構zh_TW
dc.subject超晶格zh_TW
dc.subjectDefect modeen
dc.subjectTransfer Matrix Methoden
dc.subjectBand structureen
dc.subjectPhononen
dc.subjectSuperlatticeen
dc.title具缺陷超晶格之聲子散射特性zh_TW
dc.titleScattering of Acoustic Phonons in Superlattice with a Defecten
dc.typeThesis
dc.date.schoolyear96-2
dc.description.degree碩士
dc.contributor.oralexamcommittee孔慶華,吳忠霖,林志昌
dc.subject.keyword聲子,超晶格,傳輸矩陣法,能帶結構,缺陷態,zh_TW
dc.subject.keywordPhonon,Superlattice,Transfer Matrix Method,Band structure,Defect mode,en
dc.relation.page95
dc.rights.note未授權
dc.date.accepted2008-07-27
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept工程科學及海洋工程學研究所zh_TW
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