研究生: |
黃耀欽 Huang, Yao-Chin |
---|---|
論文名稱: |
鋰原子低能階的雷射光譜 Laser Spectroscopy of Low-lying Levels in Atomic Lithium |
指導教授: |
王立邦
Wang, Li-Bang |
口試委員: |
周哲仲
Chou, Che-Chung 鄭王曜 Cheng, Wang-Yau 劉怡維 Liu, Yi-Wei 褚志崧 Chuu, Chih-Sung |
學位類別: |
博士 Doctor |
系所名稱: |
理學院 - 物理學系 Department of Physics |
論文出版年: | 2018 |
畢業學年度: | 106 |
語文別: | 英文 |
論文頁數: | 176 |
中文關鍵詞: | 鋰原子 、超精細結構 、外腔式雷射 、精密光譜 、紫光鐳射 |
外文關鍵詞: | Lithium, Hyperfine Splitting, ECDL, Spectroscopy, UV Laser |
相關次數: | 點閱:3 下載:0 |
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本論文研究鋰原子低能階的雷射光譜。實驗上,我們分別建立兩套相似的雷射系統,其中一套雷射系統為光譜雷射,其頻率穩定在共焦的法布立-培若(Fabry-Pérot)腔體上,藉由改變腔體長度達到掃描雷射的頻率功能並且可得到鋰原子光譜。另一套雷射系統為參考雷射,此雷射的頻率會鎖在碘分子躍遷譜線。利用光電倍增管偵測雷射誘發的螢光訊號,並且記錄兩套雷射系統之間頻率的差值。
在2P_{1/2}超精細結構分裂及D1同位素偏移實驗上,我們釐清了不同的團隊量測結果的爭議。結論上,鋰-6與鋰-7的第一激發態2P_{1/2}超精細結構分裂分別為26.108(9)百萬赫玆和91.873(5)百萬赫玆與目前的理論計算相符。而同位素偏移大小為10533.800(15)百萬赫玆,結合實驗測量與理論計算的同位素偏移也可計算出鋰-7與鋰-6相對均方根核電荷半徑的大小差值為-0.720(6)費米平方。
為了要檢測理論計算在鋰原子低能階的準確度,我們也測量激發態3P_{1/2}的超精細結構分裂。實驗精準度相較以往的測量提高六點七倍,此外,在決定絕對頻率數值精確度提高三千倍。
This dissertation studies the low-lying levels of ^{6,7}Li in a well-collimated atomic beam. We have built two laser systems, one of which frequency is stabilized on a confocal Fabry-Perot cavity and scans the lithium spectrum by tuning the cavity length as a spectroscopy laser. Another laser is locked to molecular iodine transition near lithium resonance line as a reference laser. The laser-induced fluorescence signal is detected by a photomultiplier, and
the beat frequency between the spectroscopy laser and the reference laser is recorded.
We have claried that the 2P_{1/2} hyperfine structure splitting and D1 isotope shift for stable ^{6,7}Li disagree with previous experiments. The 2P_{1/2} hyperfine interval are 26.108(9) MHz and 91.873(5) MHz for ^{6}Li and ^{7}Li, respectively. The D1 isotope shift is 10533.800(15) MHz. Combining the measured D1 isotope shift with the calculated energy shift determines the relative squared nuclear charge radius to be -0.720(6) fm^{2}.
In order to test atomic calculations in other low-lying levels, we have also measured the hyperfine splitting of 3P_{1/2} state. Our result improves the precision by a factor of 6.7 compared to previous measurements. Furthermore, the absolute frequency is measured and the precision is three thousand times better than previous results.
[1] Z.-C. Yan, W. Nortershauser, and G. W. F. Drake, “High precision atomic theory for Li and Be+: QED shifts and isotope shifts,” Phys. Rev. Lett. 100, 243002 (2008).
[2] M. Puchalski, D. Kedziera, and K. Pachucki, “D1 and D2 lines in 6Li and 7Li including QED effects,” Phys. Rev. A 87, 032503 (2013).
[3] M. Puchalski and K. Pachucki, “Fine and hyperfine splitting of the 2P state in Li and Be+,” Phys. Rev. A 79, 032510 (2009).
[4] V. A. Yerokhin, “Hyperfine structure of Li and Be+,” Phys. Rev. A 78, 012513 (2008).
[5] R. Sanchez, W. Nortershauser, G. Ewald, D. Albers, J. Behr, P. Bricault, B. A. Bushaw, A. Dax, J. Dilling, M. Dombsky, G. W. F. Drake, S. G ̈otte, R. Kirchner, H.- J. Kluge, T. Ku ̈hl, J. Lassen, C. D. P. Levy, M. R. Pearson, E. J. Prime, V. Ryjkov, A. Wojtaszek, Z.-C. Yan, and C. Zimmermann, “Nuclear charge radii of 9,11Li: The influence of halo neutrons,” Phys. Rev. Lett. 96, 033002 (2006).
[6] W. Nortershauser, R. Sanchez, G. Ewald, A. Dax, J. Behr, P. Bricault, B. A. Bushaw, J. Dilling, M. Dombsky, G. W. F. Drake, S. Gotte, H.-J. Kluge, T. Kuhl, J. Lassen, C. D. P. Levy, K. Pachucki, M. Pearson, M. Puchalski, A. Wojtaszek, Z.- C. Yan, and C. Zimmermann, “Isotope-shift measurements of stable and short-lived lithium isotopes for nuclear-charge-radii determination,” Phys. Rev. A 83, 012516 (2011).
[7] T. Udem, J. Reichert, R. Holzwarth, and T. W. Hansch, “Absolute optical frequency measurement of the cesium d1 line with a mode-locked laser,” Phys. Rev. Lett. 82, 3568 (1999).
[8] A. Peters, K. Y. Chung, B. Young, J. Hensley, and S. Chu, “Precision atom interferometry,” Phil. Trans. R. Soc. Lond. A 355, 2223 (1997).
[9] P. J. Mohr, D. B. Newell, and B. N. Taylor, “CODATA recommended values of the fundamental physical constants: 2014,” Rev. Mod. Phys. 88, 035009 (2016).
[10] M. P. Bradley, J. V. Porto, S. Rainville, J. K. Thompson, and D. E. Pritchard, “Penning trap measurements of the masses of 133Cs, 87,85Rb, and 23Na with uncertainties ≤ 0.2 ppb,” Phys. Rev. Lett. 83, 4510 (1999).
[11] C. J. Sansonetti, C. E. Simien, J. D. Gillaspy, J. N. Tan, S. M. Brewer, R. C. Brown, S. Wu, and J. V. Porto, “Absolute transition frequencies and quantum interference in a frequency comb based measurement of the 6,7Li D lines,” Phys. Rev. Lett. 107, 023001 (2011).
[12] S. Falke, E. Tiemann, C. Lisdat, H. Schnatz, and G. Grosche, “Transition frequencies of the D lines of 39K, 40K, and 41K measured with a femtosecond laser frequency comb,” Phys. Rev. A 74, 032503 (2006).
[13] M. Maric, J. J. McFerran, and A. N. Luiten, “Frequency-comb spectroscopy of the D1 line in laser-cooled rubidium,” Phys. Rev. A 77, 032502 (2008).
[14] Z.-C. Yan and G. W. F. Drake, “Lithium isotope shifts as a measure of nuclear size,” Phys. Rev. A 61, 022504 (2000).
[15] M. Puchalski, A. M. Moro, and K. Pachucki, “Isotope shift of the 3 2S1/2 − 2 2S1/2 transition in lithium and the nuclear polarizability,” Phys. Rev. Lett. 97, 133001 (2006).
[16] M. Puchalski, J. Komasa, and K. Pachucki, “Testing quantum electrodynamics in the lowest singlet states of the beryllium atom,” Phys. Rev. A 87, 030502 (2013).
[17] M. Puchalski, K. Pachucki, and J. Komasa, “Isotope shift in a beryllium atom,” Phys. Rev. A 89, 012506 (2014).
[18] K. Pachucki, M. Weitz, and T. W. Hansch, “Theory of the hydrogen-deuterium isotope shift,” Phys. Rev. A 49, 2255 (1994).
[19] A. Huber, T. Udem, B. Gross, J. Reichert, M. Kourogi, K. Pachucki, M. Weitz, and T. W. H ̈ansch, “Hydrogen-deuterium 1S − 2S isotope shift and the structure of the deuteron,” Phys. Rev. Lett. 80, 468 (1998).
[20] D. Shiner, R. Dixson, and V. Vedantham, “Three-nucleon charge radius: A precise laser determination using 3He,” Phys. Rev. Lett. 74, 3553 (1995).
[21] L.-B. Wang, P. Mueller, K. Bailey, G. W. F. Drake, J. P. Greene, D. Henderson, R. J. Holt, R. V. F. Janssens, C. L. Jiang, Z.-T. Lu, T. P. O’Connor, R. C. Pardo, K. E. Rehm, J. P. Schiffer, and X. D. Tang, “Laser spectroscopic determination of the 6He nuclear charge radius,” Phys. Rev. Lett. 93, 142501 (2004).
[22] P. Mueller, I. A. Sulai, A. C. C. Villari, J. A. Alcantara-Nunez, R. Alves-Conde, K. Bailey, G. W. F. Drake, M. Dubois, C. El ́eon, G. Gaubert, R. J. Holt, R. V. F. Janssens, N. Lecesne, Z.-T. Lu, T. P. O’Connor, M.-G. Saint-Laurent, J.-C. Thomas, and L.-B. Wang, “Nuclear charge radius of 8He,” Phys. Rev. Lett. 99, 252501 (2007).
[23] G. Ewald, W. Nortershauser, A. Dax, S. Gotte, R. Kirchner, H.-J. Kluge, T. Kuhl, R. Sanchez, A. Wojtaszek, B. A. Bushaw, G. W. F. Drake, Z.-C. Yan, and C. Zimmermann, “Nuclear charge radii of 8,9Li determined by laser spectroscopy,” Phys. Rev. Lett. 93, 113002 (2004).
[24] G. Ewald, W. Nortershauser, A. Dax, S. Gotte, R. Kirchner, H.-J. Kluge, T. Kuhl, R. Sanchez, A. Wojtaszek, B. A. Bushaw, G. W. F. Drake, Z.-C. Yan, and C. Zimmermann, “Erratum: Nuclear charge radii of 8,9Li determined by laser spectroscopy [Phys. Rev. Lett. 93 , 113002 (2004)],” Phys. Rev. Lett. 94, 039901 (2005).
[25] M. Puchalski and K. Pachucki, “Relativistic, qed, and finite nuclear mass corrections for low-lying states of Li and Be+,” Phys. Rev. A 78, 052511 (2008).
[26] W. Nortershauser, D. Tiedemann, M. Zakova, Z. Andjelkovic, K. Blaum, M. L. Bissell, R. Cazan, G. W. F. Drake, C. Geppert, M. Kowalska, J. Kramer, A. Krieger, R. Neugart, R. Sa ́nchez, F. Schmidt-Kaler, Z.-C. Yan, D. T. Yordanov, and C. Zim- mermann, “Nuclear charge radii of 7,9,10Be and the one-neutron halo nucleus 11Be,” Phys. Rev. Lett. 102, 062503 (2009).
[27] P. Campbell, I. Moore, and M. Pearson, “Laser spectroscopy for nuclear structure physics,” Prog. Part. Nucl. Phys. 86, 127 (2016).
[28] W. Scherf, O. Khait, H. J ̈ager, and L. Windholz, “Re-measurement of the transition frequencies, fine structure splitting and isotope shift of the resonance lines of lithium, sodium and potassium,” Z. Phys. D: At., Mol. Clusters 36, 31 (1996).
[29] B. A. Bushaw, W. Nortershauser, G. Ewald, A. Dax, and G. W. F. Drake, “Hyperfine splitting, isotope shift, and level energy of the 3S states of 6,7Li,” Phys. Rev. Lett. 91, 043004 (2003).
[30] G. A. Noble, B. E. Schultz, H. Ming, and W. A. van Wijngaarden, “Isotope shifts and fine structures of 6,7Li D lines and determination of the relative nuclear charge radius,” Phys. Rev. A 74, 012502 (2006).
[31] D. Das and V. Natarajan, “Absolute frequency measurement of the lithium D lines: Precise determination of isotope shifts and fine-structure intervals,” Phys. Rev. A 75, 052508 (2007).
[32] K. C. Brog, T. G. Eck, and H. Wieder, “Fine and hyperfine structure of the 2 2P term of 6Li and 7Li,” Phys. Rev. 153, 91–103 (1967).
[33] L. Windholz, H. Jager, M. Musso, and G. Zerza, “Laserspectroscopic investigations of the lithium-D-lines in magnetic fields,” Z. Phys. D: At., Mol. Clusters 16, 41 (1990).
[34] C. J. Sansonetti, B. Richou, R. Engleman, and L. J. Radziemski, “Measurements of the resonance lines of 6Li and 7Li by Doppler-free frequency-modulation spectroscopy,” Phys. Rev. A 52, 2682 (1995).
[35] J. Walls, R. Ashby, J. Clarke, B. Lu, and W. A. van Wijngaarden, “Measurement of isotope shifts, fine and hyperfine structure splittings of the lithium D lines,” Eur. Phys. J. D 22, 159 (2003).
[36] C. J. Sansonetti, C. E. Simien, J. D. Gillaspy, J. N. Tan, S. M. Brewer, R. C. Brown, S. Wu, and J. V. Porto, “Erratum: Absolute transition frequencies and quantum interference in a frequency comb based measurement of the 6,7Li D lines [Phys. Rev. Lett. 107, 023001 (2011)],” Phys. Rev. Lett. 109, 259901 (2012).
[37] R. C. Brown, S. Wu, J. V. Porto, C. J. Sansonetti, C. E. Simien, S. M. Brewer, J. N. Tan, and J. D. Gillaspy, “Quantum interference and light polarization effects in unresolvable atomic lines: Application to a precise measurement of the 6,7Li D2 lines,” Phys. Rev. A 87, 032504 (2013).
[38] H. Jaeger, M. Musso, C. Neureiter, and L. Windholz, “Optical measurement of the free spectral range and spacing of plane and confocal fabry-perot interferometers,” Opt. Eng. 29, 42 (1990).
[39] A. Banerjee, D. Das, and V. Natarajan, “Precise frequency measurements of atomic transitions by use of a Rb-stabilized resonator,” Opt. Lett. 28, 1579 (2003).
[40] M. Kleinert, M. E. Gold Dahl, and S. Bergeson, “Measurement of the Yb I 1S0−1P1 transition frequency at 399 nm using an optical frequency comb,” Phys. Rev. A 94, 052511 (2016).
[41] R. C. Brown, S. Wu, J. V. Porto, C. J. Sansonetti, C. E. Simien, S. M. Brewer, J. N. Tan, and J. D. Gillaspy, “Erratum: Quantum interference and light polarization effects in unresolvable atomic lines: Application to a precise measurement of the 6,7Li D2 lines [Phys. Rev. A 87, 032504 (2013)],” Phys. Rev. A 88, 069902 (2013).
[42] Y.-C. Huang, H.-C. Chen, S.-E. Chen, J.-T. Shy, and L.-B. Wang, “Precise frequency measurements of iodine hyperfine transitions at 671 nm,” Appl. Opt. 52, 1448 (2013).
[43] W. Haynes, CRC Handbook of Chemistry and Physics, 97th Edition (CRC Press, 2016).
[44] V. Gerginov, A. Derevianko, and C. E. Tanner, “Observation of the nuclear magnetic octupole moment of 133Cs,” Phys. Rev. Lett. 91, 072501 (2003).
[45] A. K. Singh, D. Angom, and V. Natarajan, “Observation of the nuclear magnetic octupole moment of 173Yb from precise measurements of the hyperfine structure in the 3P2 state,” Phys. Rev. A 87, 012512 (2013).
[46] N. C. Lewty, B. L. Chuah, R. Cazan, B. K. Sahoo, and M. D. Barrett, “Spectroscopy on a single trapped 137Ba+ ion for nuclear magnetic octupole moment determination,” Opt. Express 20, 21379 (2012).
[47] N. Stone, “Table of nuclear magnetic dipole and electric quadrupole moments,” At. Data Nucl. Data Tables 90, 75 (2005).
[48] N. Stone, “Table of nuclear electric quadrupole moments,” At. Data Nucl. Data Tables 111, 1 (2016).
[49] W. R. Johnson, U. I. Safronova, A. Derevianko, and M. S. Safronova, “Relativistic many-body calculation of energies, lifetimes, hyperfine constants, and polarizabilities in 7Li,” Phys. Rev. A 77, 022510 (2008).
[50] M. Puchalski and K. Pachucki, “Ground state hyperfine splitting in 6,7Li atoms and the nuclear structure,” Phys. Rev. Lett. 111, 243001 (2013).
[51] E. Arimondo, M. Inguscio, and P. Violino, “Experimental determinations of the hyperfine structure in the alkali atoms,” Rev. Mod. Phys. 49, 31–75 (1977).
[52] W. Nagourney, W. Happer, and A. Lurio, “Level-crossing study of the hyperfine structure of lithium,” Phys. Rev. A 17, 1394–1407 (1978).
[53] M. Godefroid, C. F. Fischer, and P. Jo ̈nsson, “Non-relativistic variational calculations of atomic properties in Li−like ions: LiI to OVI,” J. Phys. B 34, 1079 (2001).
[54] C. Foot, Atomic physics (Oxford University Press, 2005).
[55] J. E. Rosenthal and G. Breit, “The isotope shift in hyperfine structure,” Phys. Rev.
41, 459 (1932).
[56] J. Persson, “Extraction of hyperfine anomalies without precise values of the nuclear
magnetic dipole moment,” Eur. Phys. J. A 2, 3 (1998).
[57] M. F. Crawford and A. L. Schawlow, “Electron-nuclear potential fields from hyper-
fine structure,” Phys. Rev. 76, 1310 (1949).
[58] H. J. Rosenberg and H. H. Stroke, “Effect of a diffuse nuclear charge distribution
on the hyperfine-structure interaction,” Phys. Rev. A 5, 1992 (1972).
[59] A. Bohr and V. F. Weisskopf, “The influence of nuclear structure on the hyperfine
structure of heavy elements,” Phys. Rev. 77, 94 (1950).
[60] S. Buttgenbach, “Magnetic hyperfine anomalies,” Hyperfine Interact. 20, 1 (1984).
[61] M. Puchalski and K. Pachucki, “Nuclear structure effects in the isotope shift with halo nuclei,” Hyperfine Interact. 196, 35 (2010).
[62] J. Friar, “Nuclear finite-size effects in light muonic atoms,” Ann. Phys. 122, 151 (1979).
[63] M. Puchalski and K. Pachucki, “Quantum electrodynamics corrections to the 2P fine splitting in Li,” Phys. Rev. Lett. 113, 073004 (2014).
[64] M. Puchalski and K. Pachucki, “Quantum electrodynamics mα6 and mα7lnα corrections to the fine splitting in Li and Be+,” Phys. Rev. A 92, 012513 (2015).
[65] L. R. Suelzle, M. R. Yearian, and H. Crannell, “Elastic electron scattering from Li6 and Li7,” Phys. Rev. 162, 992 (1967).
[66] W. Demtroder, Laser Spectroscopy: Vol. 2: Experimental Techniques (SpringerVerlag Berlin Heidelberg, 2008), 4th ed.
[67] A. Beyer, L. Maisenbacher, A. Matveev, R. Pohl, K. Khabarova, Y. Chang, A. Grinin, T. Lamour, T. Shi, D. C. Yost, T. Udem, T. W. Ha ̈nsch, and N. Kolachevsky, “Active fiber-based retroreflector providing phase-retracing anti-parallel laser beams for precision spectroscopy,” Opt. Express 24, 17470 (2016).
[68] J. C. Camparo, “The diode laser in atomic physics,” Contemp. Phys. 26, 443 (1985).
[69] K. G. Libbrecht, R. A. Boyd, P. A. Willems, T. L. Gustavson, and D. K. Kim, “Teaching physics with 670 nm diode lasers-construction of stabilized lasers and lithium cells,” Am. J. Phys. 63, 729 (1995).
[70] K. B. MacAdam, A. Steinbach, and C. Wieman, “A narrow-band tunable diode laser system with grating feedback, and a saturated absorption spectrometer for Cs and Rb,” Am. J. Phys. 60, 1098 (1992).
[71] C. E. Wieman and L. Hollberg, “Using diode lasers for atomic physics,” Rev. Sci. Instrum. 62, 1 (1991).
[72] B. H. McGuyer, M. McDonald, G. Z. Iwata, M. G. Tarallo, W. Skomorowski, R. Moszynski, and T. Zelevinsky, “Precise study of asymptotic physics with subradiant ultracold molecules,” Nature Physics 11, 32 (2015).
[73] H. Dinesan, E. Fasci, A. Castrillo, and L. Gianfrani, “Absolute frequency stabiliza- tion of an extended-cavity diode laser by means of noise-immune cavity-enhanced optical heterodyne molecular spectroscopy,” Opt. Lett. 39, 2198 (2014).
[74] T. Hof, D. Fick, and H. Jnsch, “Application of diode lasers as a spectroscopic tool at 670 nm,” Opt. Commun. 124, 283 (1996).
[75] L. Ricci, M. Weidemuller, T. Esslinger, A. Hemmerich, C. Zimmermann, V. Vuletic, W. K ̈onig, and T. Hansch, “A compact grating-stabilized diode laser system for atomic physics,” Opt. Commun. 117, 541 (1995).
[76] V. V. Vassiliev, S. A. Zibrov, and V. L. Velichansky, “Compact extended-cavity diode laser for atomic spectroscopy and metrology,” Rev. Sci. Instrum. 77, 013102 (2006).
[77] E. Kirilov, M. J. Mark, M. Segl, and H.-C. Nagerl, “Compact, robust, and spectrally pure diode-laser system with a filtered output and a tunable copy for absolute referencing,” Applied Physics B 119, 233–240 (2015).
[78] V. Schkolnik, O. Hellmig, A. Wenzlawski, J. Grosse, A. Kohfeldt, K. Do ̈ringshoff, A. Wicht, P. Windpassinger, K. Sengstock, C. Braxmaier, M. Krutzik, and A. Peters, “A compact and robust diode laser system for atom interferometry on a sounding rocket,” Appl. Phys. B 122, 217 (2016).
[79] E. C. Cook, P. J. Martin, T. L. Brown-Heft, J. C. Garman, and D. A. Steck, “High passive-stability diode-laser design for use in atomic-physics experiments,” Rev. Sci. Instrum. 83, 043101 (2012).
[80] C. J. Hawthorn, K. P. Weber, and R. E. Scholten, “Littrow configuration tunable external cavity diode laser with fixed direction output beam,” Rev. Sci. Instrum. 72, 4477 (2001).
[81] J.-M. Breguet, S. Henein, I. Kjelberg, M. Gumy, W. Glettig, S. Lecomte, D. Boiko, and V. Mitev, “Tunable extended-cavity diode laser based on a novel flexure-mechanism,” Int. J. Optomechatroni. 7, 181 (2013).
[82] S. D. Saliba and R. E. Scholten, “Linewidths below 100 kHz with external cavity diode lasers,” Appl. Opt. 48, 6961 (2009).
[83] S. Bennetts, G. D. McDonald, K. S. Hardman, J. E. Debs, C. C. N. Kuhn, J. D. Close, and N. P. Robins, “External cavity diode lasers with 5 kHz linewidth and 200 nm tuning range at 1.55 μm and methods for linewidth measurement,” Opt. Express 22, 10642 (2014).
[84] D. K. Shin, B. M. Henson, R. I. Khakimov, J. A. Ross, C. J. Dedman, S. S. Hodgman, K. G. H. Baldwin, and A. G. Truscott, “Widely tunable, narrow linewidth external-cavity gain chip laser for spectroscopy between 1.0-1.1 μm,” Opt. Express 24, 27403 (2016).
[85] G. J. Steckman, W. Liu, R. Platz, D. Schroeder, C. Moser, and F. Havermeyer, “Volume holographic grating wavelength stabilized laser diodes,” IEEE J. Sel. Top. Quantum Electron. 13, 672 (2007).
[86] T. Hieta, M. Vainio, C. Moser, and E. Ikonen, “External-cavity lasers based on a volume holographic grating at normal incidence for spectroscopy in the visible range,” Opt. Commun. 282, 3119 (2009).
[87] M. Merimaa, H. Talvitie, P. Laakkonen, M. Kuittinen, I. Tittonen, and E. Ikonen, “Compact external-cavity diode laser with a novel transmission geometry,” Opt. Commun. 174, 175 (2000).
[88] T. Laurila, T. Joutsenoja, R. Hernberg, and M. Kuittinen, “Tunable external-cavity diode laser at 650 nm based on a transmission diffraction grating,” Appl. Opt. 41, 5632 (2002).
[89] X. Baillard, A. Gauguet, S. Bize, P. Lemonde, P. Laurent, A. Clairon, and P. Rosenbusch, “Interference-filter-stabilized external-cavity diode lasers,” Opt. Commun. 266, 609 (2006).
[90] D. J. Thompson and R. E. Scholten, “Narrow linewidth tunable external cavity diode laser using wide bandwidth filter,” Rev. Sci. Instrum. 83, 023107 (2012).
[91] A. Martin, P. Baus, and G. Birkl, “External cavity diode laser setup with two interference filters,” Appl. Phys. B 122, 298 (2016).
[92] A. Takamizawa, S. Yanagimachi, and T. Ikegami, “External cavity diode laser with very-low frequency drift,” Appl. Phys. Express 9, 032704 (2016).
[93] X. Buet, A. Guelmami, A. Monmayrant, S. Calvez, C. Tourte, F. Lozes-Dupuy, and O. Gauthier-Lafaye, “Wavelength-stabilised external-cavity laser diode using cavity resonator integrated guided mode filter,” Electron. Lett. 48, 1619 (2012).
[94] A. Takamizawa, S. Yanagimachi, T. Ikegami, and R. Kawabata, “External cavity diode laser with frequency drift following natural variation in air pressure,” Appl. Opt. 54, 5777 (2015).
[95] Y. Varshni, “Temperature dependence of the energy gap in semiconductors,” Physica 34, 149 (1967).
[96] A. L. Schawlow and C. H. Townes, “Infrared and optical masers,” Phys. Rev. 112, 1940 (1958).
[97] C. Henry, “Theory of spontaneous emission noise in open resonators and its application to lasers and optical amplifiers,” J. Lightwave Technol. 4, 288 (1986).
[98] T. Tanaka, “Carrier-induced refractive-index change, mode gain and spontaneousemission factor in AlGaInP SQW-SCH laser diodes,” Electron. Lett. 26, 766 (1990).
[99] G. Hunziker, W. Knop, P. Unger, and C. Harder, “Gain, refractive index, linewidth enhancement factor from spontaneous emission of strained GaInP quantum-well lasers,” IEEE J. Quantum Elect. 31, 643 (1995).
[100] C. Henry, “Theory of the linewidth of semiconductor lasers,” IEEE J. Quantum Elect. 18, 259 (1982).
[101] R. Paschotta, “Derivation of the schawlow-townes linewidth of lasers,” RP Photon- ics Consulting GmbH (2010).
[102] P. Goldberg, P. W. Milonni, and B. Sundaram, “Theory of the fundamental laser linewidth,” Phys. Rev. A 44, 1969 (1991).
[103] P. Goldberg, P. W. Milonni, and B. Sundaram, “Theory of the fundamental laser linewidth. II,” Phys. Rev. A 44, 4556 (1991).
[104] M. Born and E. Wolf, Principles of Optics (Pergamon Press, 1980), pp. 402–405, 6th ed.
[105] C. Petridis, I. D. Lindsay, D. J. M. Stothard, and M. Ebrahimzadeh, “Mode-hop- free tuning over 80 GHz of an extended cavity diode laser without antireflection coating,” Rev. Sci. Instrum. 72, 3811 (2001).
[106] S. Dutta, D. S. Elliott, and Y. P. Chen, “Mode-hop-free tuning over 135 GHz of external cavity diode lasers without antireflection coating,” Appl. Phys. B 106, 629 (2012).
[107] L. Levin, “Mode-hop-free electro-optically tuned diode laser,” Opt. Lett. 27, 237 (2002).
[108] J. Ye, L. Robertsson, S. Picard, L.-S. Ma, and J. L. Hall, “Absolute frequency atlas of molecular I2 lines at 532 nm,” IEEE T. Instrum. Meas. 48, 544 (1999).
[109] J. L. Hall, L.-S. Ma, M. Taubman, B. Tiemann, F.-L. Hong, O. Pfister, and J. Ye, “Stabilization and frequency measurement of the I2-stabilized Nd : YAG laser,” IEEE T. Instrum. Meas. 48, 583 (1999).
[110] S. N. Lea, W. R. C. Rowley, H. S. Margolis, G. P. Barwood, G. Huang, P. Gill, J.-M. Chartier, and R. S. Windeler, “Absolute frequency measurements of 633 nm iodine-stabilized helium-neon lasers,” Metrologia 40, 84 (2003).
[111] T. Yoon, J. Ye, J. Hall, and J.-M. Chartier, “Absolute frequency measurement of the iodine-stabilized He − Ne laser at 633 nm,” Appl. Phys. B 72, 221 (2001).
[112] H. Kato, M. Baba, S. Kasahara, K. Ishikawa, M. Misono, Y. Kimura, J. O’Reilly, H. Kuwano, T. Shimamoto, T. Shinano, C. Fujiwara, M. Ikeuchi, N. Fujita, M. H. Kabir, M. Ushino, R. Takahashi, and Y. Matsunobu, Doppler-Free High Resolu- tion Spectral Atlas of Iodine Molecule 15000 to 19000 cm−1. (Japan Society for the Promotion of Science, 2000).
[113] We have used IodineSpec version 5 to simulate these transitions. For the actual status of the program, contact knoeckel@iqo.unihannover.de.
[114] P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118 (1961).
[115] TOPTICA Photonics AG: SHG pro; Spectra-Physics: WaveTrain 2; M-square: SOLSTIS ECD-X-Q.
[116] A. Smith, Crystal nonlinear optics with SNLO examples (As-Photonics, 2016).
[117] J.-P. Meyn and M. M. Fejer, “Tunable ultraviolet radiation by second-harmonic
generation in periodically poled lithium tantalate,” Opt. Lett. 22, 1214 (1997).
[118] K. Miyata, N. Umemura, and K. Kato, “Phase-matched pure χ(3) third-harmonic
generation in noncentrosymmetric BiB3O6,” Opt. Lett. 34, 500 (2009).
[119] V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear fre- quency conversion based on BiB3O6,” Laser & Photonics Rev. 4, 53 (2010).
[120] H. Hellwig, J. Liebertz, and L. Bohat, “Linear optical properties of the monoclinic bismuth borate BiB3O6,” J. Appl. Phys. 88, 240 (2000).
[121] N. Umemura, K. Miyata, and K. Kato, “New data on the optical properties of BiB3O6,” Opt. Mater. 30, 532 (2007).
[122] V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of nonlinear optical crystals (Springer, 1999), 3rd ed.
[123] P. Tzankov and V. Petrov, “Effective second-order nonlinearity in acentric optical crystals with low symmetry,” Appl. Opt. 44, 6971 (2005).
[124] M. Ghotbi and M. Ebrahim-Zadeh, “Optical second harmonic generation properties of BiB3O6,” Opt. Express 12, 6002 (2004).
[125] H. Hellwig, J. Liebertz, and L. Bohay, “Exceptional large nonlinear optical coefficients in the monoclinic bismuth borate BiB3O6(BIBO),” Solid State Commun. 109, 249 (1998).
[126] G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597 (1968).
[127] Y. F. Chen and Y. C. Chen, “Analytical functions for the optimization of second-harmonic generation and parametric generation by focused Gaussian beams,” Appl. Phys. B 76, 645 (2003).
[128] J. Hald, “Second harmonic generation in an external ring cavity with a brewster-cut nonlinear crystal: theoretical considerations,” Opt. Commun. 197, 169 (2001).
[129] J.-J. Zondy, M. Abed, and A. Clairon, “Type-II frequency doubling at λ = 1.30 μm and λ = 2.53 μm in flux-grown potassium titanyl phosphate,” J. Opt. Soc. Am. B 11, 2004 (1994).
[130] W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Efficient second harmonic generation of a diode-laser-pumped CW Nd : YAG laser using monolithic MgO : LiNbO3 external resonant cavities,” IEEE J. Quantum Elect. 24, 913 (1988).
[131] W. P. Risk and W. J. Kozlovsky, “Efficient generation of blue light by doubly resonant sum-frequency mixing in a monolithic KTP resonator,” Opt. Lett. 17, 707 (1992).
[132] T. Freegarde and C. Zimmermann, “On the design of enhancement cavities for second harmonic generation,” Opt. Commun. 199, 435 (2001).
[133] H. Kogelnik and T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550 (1966).
[134] M. Brieger, H. Busener, A. Hese, F. v. Moers, and A. Renn, “Enhancement of single
frequency SGH in a passive ring resonator,” Opt. Commun. 38, 423 (1981).
[135] K. Hayasaka, Y. Zhang, and K. Kasai, “Generation of 22.8 mW single-frequency green light by frequency doubling of a 50-mW diode laser,” Opt. Express 12, 3567 (2004).
[136] Y. Han, X. Wen, J. Bai, B. Yang, Y. Wang, J. He, and J. Wang, “Generation of 130 mw of 397.5 nm tunable laser via ring-cavity-enhanced frequency doubling,” J. Opt. Soc. Am. B 31, 1942 (2014).
[137] E. S. Polzik and H. J. Kimble, “Frequency doubling with KNbO3 in an external cavity,” Opt. Lett. 16, 1400 (1991).
[138] D. Das and V. Natarajan, “High-precision measurement of hyperfine structure in the D lines of alkali atoms,” J. Phys. B 41, 035001 (2008).
[139] H. Orth, H. Ackermann, and E. W. Otten, “Fine and hyperfine structure of the 22P term of 7Li; determination of the nuclear quadrupole moment,” Z. Phys. A 273, 221 (1975).
[140] A. K. Singh, L. Muanzuala, and V. Natarajan, “Precise measurement of hyperfine structure in the 2P1/2 state of 7Li using saturated-absorption spectroscopy,” Phys. Rev. A 82, 042504 (2010).
[141] A. K. Singh, L. Muanzuala, A. K. Mohanty, and V. Natarajan, “Optical frequency metrology with an Rb-stabilized ring-cavity resonator – study of cavity-dispersion errors,” J. Opt. Soc. Am. B 29, 2734 (2012).
[142] R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97 (1983).
[143] Y.-T. Kuo, “Precision measurement of hyperfine intervals and isotope shift of D1 lines of atomic lithium,” Master’s thesis, National Tsing Hua University (2014).
[144] A. Beckmann, K. D. B ̈oklen, and D. Elke, “Precision measurements of the nuclear magnetic dipole moments of 6Li,7 Li,23 Na,39 K and 41K,” Z. Phys. 270, 173 (1974).
[145] C. D. Jager, H. D. Vries, and C. D. Vries, “Nuclear charge- and magnetization- density-distribution parameters from elastic electron scattering,” At. Data Nucl. Data Tables 14, 479 (1974). Nuclear Charge and Moment Distributions.
[146] K. Beloy and A. Derevianko, “Second-order effects on the hyperfine structure of P states of alkali-metal atoms,” Phys. Rev. A 78, 032519 (2008).
[147] A. Derevianko, S. G. Porsev, and K. Beloy, “Convergence of all-order many-body methods: Coupled-cluster study for Li,” Phys. Rev. A 78, 010503 (2008).
[148] Y.-C. Huang, W.-J. Luo, Y.-T. Kuo, and L.-B. Wang, “Precision measurement of hyperfine intervals in the D1lines of atomic 7Li,” J. Phys. B 46, 075004 (2013).
[149] H. Orth, R. Veit, H. Ackermann, and E. W. Otten, “Abstracts of contributed papers to the fourth international conference on atomic physics (4th ICAP),” (Heidelberg, 1974), p. 93.
[150] L. Windholz, “Laser-spectroscopic investigations of the lithium resonance lines,” Appl. Phys. B 60, 573 (1995).
[151] Z.-C. Yan and G. W. F. Drake, “Lithium transition energies and isotope shifts: QED recoil corrections,” Phys. Rev. A 66, 042504 (2002).
[152] L. M. Wang, C. Li, Z.-C. Yan, and G. W. F. Drake, “Isotope shifts and transition frequencies for the S and P states of lithium: Bethe logarithms and second-order relativistic recoil,” Phys. Rev. A 95, 032504 (2017).
[153] R. M. Jr., “The isotope shift in the 22P states of lithium and spatially resolved laser-induced fluorescence,” Appl. Phys. Lett. 35, 580 (1979).
[154] G. Li, I. Sick, R. Whitney, and M. Yearian, “High-energy electron scattering from 6Li,” Nucl. Phys. A 162, 583 (1971).
[155] F. A. Bumiller, F. R. Buskirk, J. N. Dyer, and W. A. Monson, “Elastic electron scattering from 6Li and 7Li at low momentum transfer,” Phys. Rev. C 5, 391 (1972).
[156] H. D. Vries, C. D. Jager, and C. D. Vries, “Nuclear charge-density-distribution parameters from elastic electron scattering,” At. Data Nucl. Data Tables 36, 495 (1987).
[157] E. Riis, A. G. Sinclair, O. Poulsen, G. W. F. Drake, W. R. C. Rowley, and A. P. Levick, “Lamb shifts and hyperfine structure in 6Li+ and 7Li+: Theory and experiment,” Phys. Rev. A 49, 207 (1994).
[158] Y.-H. Lien, K.-J. Lo, H.-C. Chen, J.-R. Chen, J.-Y. Tian, J.-T. Shy, and Y.-W. Liu, “Absolute frequencies of the 6,7Li 2S 2S1/2 → 3S 2S1/2 transitions,” Phys. Rev. A 84, 042511 (2011).
[159] B. D. Cannon, T. J. Whitaker, G. K. Gerke, and B. A. Bushaw, “Anomalous linewidths and peak-height ratios in 137Ba hyperfine lines,” Appl. Phys. B 47, 201 (1988).
[160] A. Kramida, Y. Ralchenko, J. Reader, and NIST ASD Team, “NIST Atomic Spectra Database (version 5.4), [online],” National Institute of Standards and Technology, Gaithersburg, MD (2017). Available: http://physics.nist.gov/asd.
[161] J. H. Jang, I. H. Yoon, and C. S. Yoon, “Cause and repair of optical damage in nonlinear optical crystals of BiB3O6,” Opt. Mater. 31, 781 (2009).
[162] V. Ruseva and J. Hald, “Generation of UV light by frequency doubling in BIBO,” Opt. Commun. 236, 219 (2004).
[163] X. Wen, Y. Han, and J. Wang, “Comparison and characterization of efficient fre- quency doubling at 397.5 nm with PPKTP, LBO and BiBO crystals,” Laser Physics 26, 045401 (2016).
[164] L. S. Cruz and F. C. Cruz, “External power-enhancement cavity versus intracavity frequency doubling of Ti : sapphire lasers using BIBO,” Opt. Express 15, 11913 (2007).
[165] J. J. Snyder, “Paraxial ray analysis of a cat’s-eye retroreflector,” Appl. Opt. 14, 1825 (1975).
[166] L. J. Radziemski, R. Engleman, and J. W. Brault, “Fourier-transform-spectroscopy measurements in the spectra of neutral lithium, 6Li and 7Li (Li I),” Phys. Rev. A 52, 4462 (1995).
[167] B. Budick, H. Bucka, R. J. Goshen, A. Landman, and R. Novick, “Fine and hyperfine structure of the 32P term in lithium,” Phys. Rev. 147, 1 (1966).