博碩士論文 110222014 詳細資訊




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姓名 張家維(Chai-Wei Chang)  查詢紙本館藏   畢業系所 物理學系
論文名稱 於高真空中量測銫原子6S1/2 - 6D3/2 雙光子躍遷頻率
(Frequency Measurement of Cesium 6S1/2 - 6D3/2 Two-Photon Transition in High Vacuum)
相關論文
★ 銫原子 6S-6D 雙光子超精細耦合常數★ 同調性毫赫茲以下的光學偏頻鎖相系統測 量高分辨率的銫原子 6S-6D 超精細躍遷
★ 銫原子穩頻822奈米二級光鐘★ 銫原子6S1/2-6D3/2超精細躍遷絕對頻率與超精細結構
★ 銫原子蘭道g值之量測★ 偏頻鎖相超短脈衝雷射以實現銫及銣原子高解析直接光梳光譜
★ 碘分子R(81)29-0 超精譜線用於539.5-nm 雷射穩頻★ 銣原子光鐘絕對頻率之量測
★ 利用"紅色火龍果"開發板研究銣原子光鐘超精細躍遷★ 無頻率調制銣原子光鐘之研究
★ Direct comb laser spectroscopy of Cs 6S-8S, Rb 5S-5D hyperfine transitions—toward building up a novel Ti:sapphire comb laser with merely 6cm Cs-Rb mixed cell
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摘要(中) 本論文的目標為改善以前亭儒學長在真空中使用鹼金屬棒(dispenser) 取數據時有50 kHz 的誤差[1]。最終目標是未來測量6D5/2 的超精細結構與絕對頻率。
在我們的系統中,有兩組雷射系統,分別稱為主雷射和僕雷射。主雷射的頻率固定於6S1/2 F = 3, 4 → 6D3/2 躍遷譜線上。僕雷射則透過偏頻鎖相技術控制雷射頻率,獲得真空中的Doppler-free 雙光子躍遷譜線。我們改良麒翔學長所設計的真空腔體[2],在真空中使用ampoule 提供Cs 並測量6D3/2 的絕對頻率和超精細結構。
我們使用新的真空設計產生的粒子濃度比dispenser 通電產生的Cs 蒸氣[1]高,訊號強度接近一般Pyrex cell 可獲取的訊號強度,訊噪比較高。在Cs 與雷射交互作用的區域我們使用荷姆霍茲線圈(Helmholtz coil)來進行隔磁,避免Zeeman effect 造成的頻率偏移;透過AOM 進行功率穩定來測量AC Stark shift。
在測量collision shift 的過程中,我們發現粒子濃度會受到gate valve 處的抽氣率影響,影響譜線訊號強度和線寬。此外,我們意外發現中華電信提供的Rb clock 頻率準確度會隨時間變化導致絕對頻率量測非實際數值。Rb clock 的頻率準確度在6 週內會由1 ∗ 10−11 變為5 ∗ 10−11,對我們的系統造成約17 kHz 的偏移。
最後,我們在測量6D3/2 四個能階的頻率間距時發現數據與正恩學長量測的數據[3] 有明顯差異,因此量測6S1/2 F = 3 → 6D3/2 數據確認6S1/2 F = 3, 4 是否符合clock frequency,並重新計算超精細耦合常數的值,與過去的數值進行比較。
摘要(英) The objective of this paper is to improve upon the 50 kHz error encountered by senior Ting-Ju Chen when using dispenser to collect data in a vacuum[1]. The ultimate goal is to measure the hyperfine structure and absolute frequency of the 6D5/2 state in the future.
Our system consists of two laser systems, referred to as the master laser and the slave laser. The master laser frequency is locked to the 6S1/2 F = 3, 4 → 6D3/2 transition line. The slave laser frequency is controlled via an offset frequency lock technique to obtain the Doppler-free two photon transition line in a vacuum. We improved upon the vacuum chamber designed by senior Chi-Hsiang Chu, using an ampoule to provide Cs in a vacuum and measuring the absolute frequency and hyperfine structure of the 6D3/2 state[2].
Our new vacuum design generates a higher particle concentration than the Cs vapor produced by the dispenser[1]. The signal strength is comparable to that obtained with a standard Pyrex cell, with a higher signal to-noise ratio. In the region where Cs interacts with the laser, we use a Helmholtz coil to mitigate magnetic interference and avoid frequency shifts caused by the Zeeman effect. Power stabilization via an AOM is employed to measure the AC Stark shift.
During the measurement of the collision shift, we found that particle concentration is affected by the pumping rate at the gate valve, impacting the signal strength and linewidth of the spectral lines. Additionally, we discovered that the frequency accuracy of the Rb clock provided by Chunghwa Telecom varies over time, leading to inaccurate absolute frequency measurements. The frequency accuracy of the Rb clock can degrade from 1 ∗ 10−11 to 5 ∗ 10−11 over six weeks, causing a shift of approximately 17 kHz in our system.
Finally, when measuring the frequency intervals of the four energy levels of 6D3/2, we found a significant discrepancy compared to the data measured by Senior Jeng En[3]. Consequently, we measured the data for the transition 6S1/2 F = 3 → 6D3/2 to confirm whether 6S1/2 F = 3, 4 conform to clock frequency, recalculated the value of the hyperfine coupling constant, and compared it with past values.
關鍵字(中) ★ 銫原子超精細分裂躍遷
★ 偏頻鎖頻
★ 頻率調製光譜鎖頻
關鍵字(英) ★ Cesium hyperfine transition
★ Offset Locking
★ Frequency modulation spectroscopy
論文目次 摘要------------------------v
Abstract -------------------vii
致謝------------------------ix
目錄------------------------xi
圖目錄----------------------xiii
表目錄----------------------xvii
第一章動機------------------1
第二章基本原理---------------3
2.1 理論背景----------------3
2.2 銫原子的電子躍遷---------3
2.3 超精細結構--------------6
2.4 Zeeman effect----------7
2.5 AC Stark shift[4]------16
2.6 Collision shift[5]-----19
第三章實驗架設--------------23
3.1 雷射系統光路------------23
3.2 主雷射鎖頻--------------25
3.2.1 Double-pass AOM------25
3.2.2 PI LOOP 回授線路------26
3.3 僕雷射掃頻系統----------28
3.3.1 偏頻鎖頻(offset lock)-28
3.3.2 AOM 功率穩定----------30
3.3.3 真空腔體目的與設計-----31
3.3.4 Helmholtz coil-------36
3.4 絕對頻率測量------------38
第四章實驗結果--------------41
4.1 Zeeman effect----------42
4.2 AC Stark shift---------46
4.3 Collision shift--------51
4.4 超精細結構與絕對頻率測量-55
4.5 超精細耦合常數----------58
4.6 Rb clock 偏移----------59
第五章總結與未來展望--------61
參考文獻-------------------63
第六章附錄-----------------65
6.1 modulation shift------65
6.2 第一代真空腔設計與問題--66
6.3 玻璃切割---------------70
6.3.1 器材----------------70
6.3.2 玻璃切割步驟1--------70
6.3.3 玻璃切割步驟2--------71
6.3.4 玻璃切割步驟3--------72
6.4 第二代真空腔使用打破ampoule--73
6.5 二代真空測量6S1/2 F = 4 的AC Stark shift--75
6.6 長時間系統測量重複率----76
參考文獻 [1] 陳亭儒, “銫原子6s1/2-6d3/2 超精細躍遷絕對頻率與超精細結構,” 中央大學物理系碩士論文(2017).
[2] 祝麒翔, “銣原子光鐘絕對頻率之量測absolute frequency of rubidium clock,” 中央大學物理系碩士論文(2020).
[3] H.-H. Y. T.-W. L. Y.-F. H. Y.-C. C. M.-S. C. TING-JU CHEN, JENG-EN CHEN and W.-Y. CHENG, “Absolute frequency of cesium 6s1/2–6d3/2 hyperfine transition with a precision to nuclear magnetic octupole interaction,” Optics Letters, vol. 43, no. 9, (2018).
[4] E. S. P. N. Ph. Georgiades and H. J. Kimble, “Five ways to the nonresonant dynamic stark effect,” American Journal of Physics, vol. 79, no. 477, (2011).
[5] W. Demtröder, “Laser spectroscopy: Basic concepts and instrumentation,” 4th ed.(2008).
[6] L. Kelvin and P. G. Tait, “Elements of natural philosophy,” (1890).
[7] J. C. Hafele, “Performance and results of portable clocks in aircraft,” defense technical information center, vol. ADA489971, p. 29, (1971).
[8] 吳淑蓉, “銫原子穩頻822 奈米二級光鐘吳淑蓉cesium-stabilized 822-nm secondary optical clock,” 中央大學物理系碩士論文(2015).
[9] V. G.-T. M. F. S. A. D.-L. H. Jason E. Stalnaker, Vela Mbele and C. E. Tanner,“Femtosecond frequency comb measurement of absolute frequencies and hyperfine coupling constants in cesium vapor,” PHYSICAL REVIEW, vol. 81, no. 4, (2010).
[10] G. Grynberg and B. Cagnac, “Doppler-free multiphotonic spectroscopy,” Reports on Progress in Physics, vol. 40, no. 7, (1977).
[11] 陳正恩, “銫原子蘭道g 值之量測,” 中央大學物理系碩士論文(2020).
[12] A. D. Vladislav Gerginov and C. E. Tanner, “Observation of the nuclear magnetic octupole moment of 133cs,” Phys. Rev. Lett, vol. 91, no. 7, (2003).
[13] E. S. P. N. Ph. Georgiades and H. J. Kimble, “Two-photon spectroscopy of the 6s1/2-6d5/2 transition of trapped atomic cesium,” Opt. Lett, vol. 19, no. 18, (1994).
[14] P. J. Mohr and B. N. Taylor, “Codata recommended values of the fundamental physical constants: 1998,” Rev. Mod. Phys. 72, 351, (2000).
[15] M. I. E. Arimondo and P. Violino, “Experimental determinations of the hyperfine structure in the alkali atoms,” Rev. Mod. Phys. 49, 31, (1977).
[16] H.M.FOLEY, “The pressure broademna of spectral lines,” PHYSICAL REVIEW, vol. 69, no. 11 &12, (1946).
[17] D. A. Steck, “Cesium d line data,” Theoretical Division, (1998).
[18] N. A. M. A. Kortyna and T. Bragdon, “Measurement of the 6d 2dj hyperfine structure of cesium using resonant two-photon sub-doppler spectroscopy,” PHYSICAL REVIEW A. 74, 022503, (2006).
[19] T. F. M. S. Tomoaki Ohtsuka, Nobuo Nishimiya, “Doppler-free two-photon spectroscopy of 6s1/2 -6d3/2,5/2transition in cesium,” Physical Society of Japan, vol. 74, no. 9, (2005).
指導教授 鄭王曜(Wang-Yau Cheng) 審核日期 2024-7-16
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