-
随着科技的进步以及精密测量应用技术的不断提高,超稳微波源的稳定度和噪声水平等技术要求不断提高,应用范围愈加广泛,包括高性能频标研究、网络雷达研制、深空导航系统等方面.基于超稳激光和飞秒光梳的超稳光生微波源是目前频率稳定度最高的微波频率源,相对频率稳定度可达10-16@1 s量级.该装置也是未来频率标准(光频标)推广应用的基础,无论是时间的产生还是绝大多数的精密测量,都需要将光频标的输出激光变换为超稳的基带频率信号后才能够实现.本文介绍了超稳光生微波源技术的发展、现状和应用需求.以国家授时中心研制的国内首套超稳微波频率源技术为主线,介绍了超稳光生微波源的原理和结构以及各组成部分的技术发展情况:超稳激光方面,着重介绍超稳光学腔研究和研制的进展以及Pound-Drever-Hall锁频技术、剩余幅度调制等噪声抑制技术;飞秒光梳方面,着重介绍目前最常用的掺铒光纤光梳系统的激光锁模、频率控制等技术发展;低噪声光电探测方面,着重介绍宽带光电探测噪声抑制技术和激光幅度噪声引起微波相位噪声的抑制技术.最后对光生超稳微波技术进行了总结和展望.With the progress of science and technology and the continuous improvement of the precision measurement application technology, the technical requirements for the stability and noise level of the ultra-stable microwave source are increasing. Its application range becomes more and more wide, including high performance frequency standard research, network radar development, deep space navigation system, etc. Up to now, the photonic microwave generators based on ultra-stable laser and femtosecond light comb are believed to be the highest microwave frequency source with the highest frequency stability and the relative frequency stability 10-16 in 1 s. This device is also the basis of the application for the next frequency standard (optical frequency standard). Whether the generation of time or most of the precision measurements, the output laser of the optical frequency standard should be transformed into a super stable baseband frequency signal. In this paper, we first introduce the development, current situation and application requirements of ultra-stable photonic microwave source, then we present the principle and structure of the ultra-stable photonic microwave source and the technical development of its components based on the first set of domestic-made ultra-stable microwave frequency sources developed by the National Time Service Center. For the ultra-stable laser, we mainly focus on the research and development of the ultra-stable cavity design, the Pound-Drever-Hall frequency locking technology, and the residual amplitude noise effect rejection. For the optical frequency combs, we mainly focus on the development of laser mode-locking and frequency control technology based on erbium-doped fiber combing system. For the low noise photonic-to-microwave detection and low noise synthesizer techniques, the noise effect rejection of wideband photoelectric detection and the microwave phase noise induced by the amplitude noise of the laser are emphatically introduced. Finally, we summarize and prospect the photonic ultra-stable microwave generation technique.
-
Keywords:
- frequency instability /
- phase noise /
- ultra-stable laser /
- optical frequency comb
[1] Britton J W, Sawyer B C, Keith A C, Wang C C J, Freericks J K, Uys H, Biercuk M J, Bollinger J J 2012 Nature 484 489
[2] DeLorenzo L A, Schwab K C 2014 New J. Phys. 16 113020
[3] Cliche J F, Shillue B, Latrasse C, Tetu M, D’Addario L 2004 in: Oschmann J M ed. Ground-Based Telescopes, Pts 1 and 2 5489 1115
[4] Nand N R, Hartnett J G, Ivanov E N, Santarelli G 2011 IEEE Trans. Microwave Theory Tech. 59 2978
[5] Kim J, Cox J A, Chen J, Kartner F X 2008 Nat. Photon. 2 733
[6] Minoshima K, Matsumoto H 2000 Appl. Opt. 39 5512
[7] Besson R J 1977 Proc. Freq. Contr. Symp. 147
[8] Besson R J, Mourey M, Galliou S, Marionnet F, Gonzalez F, Guillemot P, Tjoelker R, Diener W, Kirk A 1999 Proc. Freq. Contr. Symp. 326
[9] Stein S R, Turneaure J P 1972 Electron. Lett. 8 321
[10] Hartnett J G, Nand N R 2010 IEEE Trans. Microw. Theory Tech. 58 3580
[11] Hartnett J G, Parker S R, Ivanov E N, Povey T, Nand N R, Floch J M 2014 Electron. Lett. 50 294
[12] Xie X P, Bouchand R, Nicolodi D, Giunta M, Hansel W, Lezius M, Joshi A, Datta S, Alexandre C, Lours M, Tremblin P A, Santarelli G, Holzwarth R, Le Coq Y 2017 Nat. Photon. 11 44
[13] Young B C, Cruz F C, Itano W M, Bergquist J C 1999 Phys. Rev. Lett. 82 3799
[14] Diddams S A, Jones D J, Ye J, Cundiff S T, Hall J L, Ranka J K, Windeler R S, Holzwarth R, Udem T, Hansch T W 2000 Phys. Rev. Lett. 84 5102
[15] Holzwarth R, Udem T, Hansch T W, Knight J C, Wadsworth W J, Russell P S J 2000 Phys. Rev. Lett. 85 2264
[16] Ye J, Hall J L, Diddams S A 2000 Opt. Lett. 25 1675
[17] Bartels A, Diddams S A, Oates C W, Wilpers G, Bergquist J C, Oskay W H, Hollberg L 2005 Opt. Lett. 30 667
[18] Fortier T M, Kirchner M S, Quinlan F, Taylor J, Bergquist J C, Rosenband T, Lemke N, Ludlow A, Jiang Y, Oates C W, Diddams S A 2011 Nat. Photon. 5 425
[19] Weyers S, Lipphardt B, Schnatz H 2009 Phys. Rev. A 79 031803
[20] Millo J, Abgrall M, Lours M, English E M L, Jiang H, Guena J, Clairon A, Tobar M E, Bize S, Le Coq Y, Santarelli G 2009 Appl. Phys. Lett. 94 141105
[21] Fortier T M, Rolland A, Quinlan F, Baynes F N, Metcalf A J, Hati A, Ludlow A D, Hinkley N, Shimizu M, Ishibashi T, Campbell J C, Diddams S A 2016 Laser Photon. Rev. 10 780
[22] Yan L L, Zhao W Y, Zhang Y Y, Tai Z Y, Zhang P, Rao B J, Ning K, Zhang X F, Guo W G, Zhang S G, Jiang H F 2018 Chin. Phys. B 27 030601
[23] Clairon A, Laurent P, Santarelli G, Ghezali S, Lea S N, Bahoura M 1995 IEEE Trans. Instrum. Measur. 44 128
[24] Guena J, Abgrall M, Rovera D, Laurent P, Chupin B, Lours M, Santarelli G, Rosenbusch P, Tobar M E, Li R X 2012 IEEE Trans. Ultras. Ferroelectr. Frequency Control 59 391
[25] Gill P 2011 Philos. Trans. Royal Soc. A: Math. Phys. Eng. Sci. 369 4109
[26] Kogelnik H, Li T 1966 Appl. Opt. 5 1550
[27] Swann W C, Baumann E, Giorgetta F R, Newbury N R 2011 Opt. Express 19 24387
[28] Schawlow A L, Townes C H 1958 Phys. Rev. 112 1940
[29] Könz F, Sun Y, Thiel C W, Cone R L, Equall R W, Hutcheson R L, Macfarlane R M 2003 Phys. Rev. B 68 085109
[30] Ludlow A D, Boyd M M, Ye J, Peik E, Schmidt P O 2015 Rev. Mod. Phys. 87 637
[31] Wu L, Jiang Y, Ma C, Qi W, Yu H, Bi Z, Ma L 2016 Sci. Reports 6 24969
[32] Tai Z Y, Yan L L, Zhang Y Y, Zhang X F, Guo W G, Zhang S G, Jiang H F 2017 Chin. Phys. Lett. 34 090602
[33] Callen H B, Greene R F 1952 Phys. Rev. 86 702
[34] Braginsky V B, Gorodetsky M L, Vyatchanin S P 1999 Phys. Lett. A 264 1
[35] Levin Y 1998 Phys. Rev. D 57 659
[36] Nakagawa N, Gustafson E K, Beyersdorf P T, Fejer M M 2002 Phys. Rev. D 65 082002
[37] Crooks D R M, Cagnoli G, Fejer M M, Gretarsson A, Harry G, Hough J, Nakagawa N, Penn S, Route R, Rowan S, Sneddon P H 2004 Classical and Quantum Gravity 21 S1059
[38] Numata N, Yamamoto K, Ishimoto H, Otsuka S, Kawabe K, Ando M, Tsubono K 2004 Phys. Lett. A 327 263
[39] Numata K, Kemery A, Camp J 2004 Phys. Rev. Lett. 93 250602
[40] Allan D 1966 Proc. IEEE 54 221
[41] Dawkins S, Mcferran, J, Luiten A 2007 Ultrasonics, Ferroelectrics and Frequency Control, IEEE Trans. on 54 918
[42] Millo J, Magalhaes D V, Mandache C, Le Coq Y, English E M L, Westergaard P G, Lodewyck J, Bize S, Lemonde P, Santarelli G 2009 Phys. Rev. A 79 053829
[43] Legero T, Kessler T, Sterr U 2010 J. Opt. Soc. Am. B 27 914
[44] Cole G, Zhang W, Martin M, Ye J, Aspelmeyer M 2013 Nat. Photon. 7 644
[45] Jiang H, Kéfélian F, Crane S, Lopez O, Lours M, Millo J, Holleville D, Lemonde P, Chardonnet C, Amy-Klein A, Santarelli G 2008 J. Opt. Soc. Am. B 25 2029
[46] Häfner S, Falke S, Grebing C, Vogt S, Legero T, Merimaa M, Lisdat C, Sterr U 2015 Opt. Lett. 40 2112
[47] Schioppo M, Brown R C, McGrew W F, Hinkley N, Fasano R J, Beloy K, Yoon T H, Milani G, Nicolodi D, Sherman J A, Phillips N B, Oates C W, Ludlow A D 2017 Nat. Photon. 11 48
[48] Webster S A, Oxborrow M, Gill P 2007 Phys. Rev. A 75 011801
[49] Webster S, Gill P 2011 Opt. Lett. 36 3572
[50] Argence B, Prevost E, Lévèque T, Le Goff R, Bize S, Lemonde P, Santarelli G 2012 Opt. Express 20 25409
[51] Leibrandt D R, Bergquist J C, Rosenband T 2013 Phys. Rev. A 87 023829
[52] Kessler T, Hagemann C, Grebing C, Legero T, Sterr U, Riehle F, Martin M J, Chen L, Ye J 2012 Nat. Photon. 6 687
[53] Matei D G, Legero T, Hafner S, Grebing C, Weyrich R, Zhang W, Sonderhouse L, Robinson J M, Ye J, Riehle F, Sterr U 2017 Phys. Rev. Lett. 118 263202
[54] Zhang W, Robinson J M, Sonderhouse L, Oelker E, Benko C, Hall J L, Legero T, Matei D G, Riehle F, Sterr U, Ye J 2017 Phys. Rev. Lett. 119 243601
[55] Jiang Y Y, Ludlow A D, Lemke N D, Fox R W, Sherman J A, Ma L S, Oates C W 2011 Nat. Photon. 5 158
[56] Tai Z Y, Yan L L, Zhang Y Y, Zhang P, Zhang X F, Guo W G, Zhang S G, Jiang H F 2018 arXiv:1802.01775 [physics.ins-det]
[57] Pound R 1946 Rev. Sci. Instrum. 17 490
[58] Drever R W P, Hall J L, Kowalski F V, Hough J, Ford G M, Munley A J, Ward H 1983 Appl. Phys. B 31 97
[59] Black E D 2001 Am. J. Phys. 69 79
[60] Wong N C, Hall J L 1985 J. Opt. Soc. Am. B 2 1527
[61] Li L, Liu F, Wang C, Chen L 2012 Rev. Sci. Instrum. 83 043111
[62] Jiang H 2010 Ph. D. Dissertation (Paris: University of Paris)
[63] Zhang W, Martin M J, Benko C, Hall J L, Ye J, Hagemann C, Legero T, Sterr U, Riehle F, Cole G D, Aspelmeyer M 2014 Opt. Lett. 39 1980
[64] Tai Z, Yan L, Zhang Y, Zhang X, Guo W, Zhang S, Jiang H 2016 Opt. Lett. 41 5584
[65] Li Z X, Ma W G, Yang W H, Wang Y J, Zheng Y H 2005 Opt. Lett. 41 3331
[66] Donley E A, Heavner T P, Levi F, Tataw M O, Jefferts S R 2005 Rev. Sci. Instrum. 76 063112
[67] Ma L S, Jungner P, Ye J, Hall J L 1994 Opt. Lett. 19 1777
[68] Predehl K, Grosche G, Raupach S M F, Droste S, Terra O, Alnis J, Legero T, Hansch T W, Udem T, Holzwarth R, Schnatz H 2012 Science 336 441
[69] Poli N, Oates C W, Gill P, Tino G M 2013 Rivista Del Nuovo Cimento 36 555
[70] Stolen R H, Lin C 1978 Phys. Rev. A 17 1448
[71] Birks T A, Roberts P J, Russell P, Atkin D M, Shepherd T J 1995 Electron. Lett. 31 1941
[72] Dudley J M, Genty G, Cose S 2006 Rev. Mod. Phys. 78 1135
[73] Spence D E, Kean P N, Sibbett W 1991 Opt. Lett. 16 42
[74] Proctor B, Westwig E, Wise F 1993 Opt. Lett. 18 1654
[75] Salin F, Squier J, Pichè M 1991 Opt. Lett. 16 1674
[76] Haus H A 1975 IEEE J. Quantum Electron. 11 736
[77] Hartl I, Schibli T R, Marcinkevicius A, Yost D C, Hudson D D, Fermann M E, Ye J 2007 Opt. Lett. 32 2870
[78] Washburn B R, Diddams S A, Newbury N R, Nicholson J W, Yan M F, Jorgensen C G 2004 Opt. Lett. 29 250
[79] Phillips C R, Langrock C, Pelc J S, Fejer M M, Jiang J, Fermann M E, Hartl I 2011 Opt. Lett. 36 3912
[80] Morgner U, Kartner F X, Cho S H, Chen Y, Haus H A, Fujimoto J G, Ippen E P, Scheuer V, Angelow G, Tschudi T 1999 Opt. Lett. 24 411
[81] Reichert J, Holzwarth R, Udem T, Hansch T W 1999 Opt. Commun. 172 59
[82] Gires F, Tournois C R 1964 Science 258 6112
[83] Szipocs R, Ferencz K, Spielmann C, Krausz F 1994 Opt. Lett. 19 201
[84] Fortier T M, Bartels A, Diddams S A 2006 Opt. Lett. 31 1011
[85] Bartels A, Heinecke D, Diddams S A 2009 Science 326 681
[86] Sinclair L C, Coddington I, Swann W C, Rieker G B, Hati A, Iwakuni K, Newbury N R 2014 Opt. Express 22 6996
[87] Lee J, Lee K, Jang Y S, Jang H, Han S, Lee S H, Kang K I, Lim C W, Kim Y J, Kim S W 2014 Sci. Report 4 05134
[88] Lezius M, Wilken T, Deutsch C, Giunta M, Mandel O, Thaller A, Schkolnik V, Schiemangk M, Dinkelaker A, Kohfeldt A, Wicht A, Krutzik M, Peters A, Hellmig O, Duncker H, Sengstock K, Windpassinger P, Lampmann K, Hlsing T, Hänsch T W, Holzwarth R 2016 Optica 3 1381
[89] Droste S, Ycas G, Washburn B R, Coddington I, Newbury N R 2016 Nanophotonics 5 196
[90] Doran N J, Wood D 1988 Opt. Lett. 13 56
[91] Fermann F H M E, Hofer M, Hochreiter H 1990 Opt. Lett. 15 752
[92] Duling I N 1991 Opt. Lett. 16 539
[93] Kim J, Song Y J 2016 Adv. Opt. Photon. 8 465
[94] Hong L, Donald D K, Sorin W V 1994 J. Lightwave Technol. 12 1121
[95] Kuse N, Jiang J, Lee C C, Schibli T R, Fermann M E 2016 Opt. Express 24 3095
[96] Kärtner F X, Brovelli L R, Kopf D, Kamp M, Calasso I, Keller U 1995 Opt. Eng. 34 2024
[97] Okhotnikov O, Grudinin A, Pessa M 2004 New J. Phys. 6 177
[98] Song Y W, Yamashita S, Goh C S, Set S Y 2007 Opt. Lett. 32 148
[99] Popa D, Sun Z, Torrisi F, Hasan T, Wang F, Ferrari A C 2010 Appl. Phys. Lett. 97 203106
[100] Lee J, Koo J, Jhon Y M, Lee J H 2014 Opt. Express 22 6165
[101] Sotor J, Sobon G, Grodecki K, Abramski K M 2014 Appl. Phys. Lett. 104 251112
[102] Sinclair L C, Deschenes J D, Sonderhouse L, Swann W C, Khader I H, Baumann E, Newbury N R, Coddington I 2015 Rev. Sci. Instrum. 86 081301
[103] Kim S, Kim Y, Park J, Han S, Park S, Kim Y J, Kim S W 2012 Opt. Express 20 15054
[104] Li X, Zou W, Chen J 2014 Opt. Lett. 39 1553
[105] Wu X J, Yang L J, Zhang H Y, Yang H L, Wei H Y, Li Y 2015 Appl. Opt. 54 1681
[106] Zhang Y, Fan S T, Yan L, Zhang L, Zhang X, Guo W, Zhang S, Jiang H 2017 Opt. Express 25 21719
[107] Ramond T M, Diddams S A, Hollberg L, Bartels A 2002 Opt. Lett. 27 1842
[108] Krauss G, Fehrenbacher D, Brida D, Riek C, Sell A, Huber R, Leitenstorfer A 2011 Opt. Lett. 36 540
[109] Hudson D D, Holman K W, Jones R J, Cundiff S T, Ye J, Jones D J 2005 Opt. Lett. 30 2948
[110] Baumann E, Giorgetta F R, Nicholson J W, Swann W C, Coddington I, Newbury N R 2009 Opt. Lett. 34 638
[111] Iwakuni K, Inaba H, Nakajima Y, Kobayashi T, Hosaka K, Onae A, Hong F L 2012 Opt. Express 20 13769
[112] Yan L L, Zhang Y Y, Zhang L, FAN S T, Zhang X F, Guo W G, Zhang S G, Jiang H F 2015 Chin. Phys. Lett. 32 104207
[113] Hänsel W, Giunta M, Fischer M, Lezius M, Holzwarth R 2017 Proceeding of Joint Conference of the IEEE International Frequency Control and European Frequency and Time Forum 128
[114] Koke S, Grebing C, Frei H, Anderson A, Assion A, Steinmeyer G 2010 Nat. Photon. 4 462
[115] Newbury N R, Washburn B R 2005 IEEE J. Quantum Electron. 41 1388
[116] Taylor J, Datta S, Hati A, Nelson C, Quinlan F, Joshi A, Diddams S 2011 IEEE Photon. J. 3 140
[117] Johnson J B 1928 Phys. Rev. 32 97
[118] Jiang H F, Taylor J, Quinlan F, Fortier T, Diddams S A 2011 IEEE Photon. J. 3 1004
[119] Ycas G G, Quinlan F, Diddams S A, Osterman S, Mahadevan S, Redman S, Terrien R, Ramsey L, Bender C F, Botzer B, Sigurdsson S 2012 Opt. Express 20 6631
[120] Haboucha A, Zhang W, Li T, Lours M, Luiten A, Coq Y L, Santarelli G 2011 Opt. Lett. 36 3654
[121] Fortier T M, Quinlan F, Hati A, Nelson C, Taylor J A, Fu Y, Campbell J, Diddams S A 2013 Opt. Lett. 38 1712
[122] Rubiola E, Santarelli G 2013 Nat. Photon. 7 269
[123] Quinlan F, Fortier T M, Jiang H F, Diddams S A 2013 J. Opt. Soc. Am. B 30 1775
[124] Quinlan F, Fortier T M, Jiang H, Hati A, Nelson C, Fu Y, Campbell J C, Diddams S A 2013 Nat. Photon. 7 290
[125] Fortier T M, Nelson C W, Hati A, Quinlan F, Taylor J, Jiang H, Chou C W, Rosenband T, Lemke N, Ludlow A, Howe D, Oates C W, Diddams S A 2012 Appl. Phys. Lett. 100 231111
[126] Jung K, Shin J, Kang J, Hunziker S, Min C K, Kim J 2014 Opt. Lett. 39 1577
[127] Jung K, Shin J, Kim J 2013 IEEE Photon. J. 5 5500906
[128] Avellino W R 1964 Proc. IEEE 52 868
[129] Boudot R, Guerandel S, de Clercq E 2009 IEEE Trans. Instrum. Meas. 58 3659
[130] Yan L, Meng S, Zhao W, Guo W, Jiang H, Zhang S 2015 J. Electron. Sci. Tech. 13 264
[131] Hati A, Nelson C W, Barnes C, Lirette D, de Salvo J A, Howe D A 2012 Ultrasonics, Ferroelectrics and Frequency Control, IEEE Trans. on 59 2596
[132] Hati A, Nelson C W, Barnes C, Lirette D, Fortier T, Quinlan F, de Salvo J A, Ludlow A, Diddams S A, Howe D A 2013 Ultrasonics, Ferroelectrics and Frequency Control, IEEE Trans. on 60 1796
[133] Fortier T M, Rolland A, Quinlan F, Baynes F N, Metcalf A J, Hati A, Ludlow A D, Hinkley N, Shimizu M, Ishibashi T, Campbell J C, Diddams S A 2016 Laser Photon. Rev. 10 780
[134] Yao Y, Jiang Y Y, Yu H F, Bi Z Y, Ma L S 2016 National Sci. Rev. 3 463
[135] Leopardi H, Davila-Rodriguez J, Quinlan F, Olson J, Sherman J A, Diddams S A, Fortier T 2017 Optica 4 879
[136] Li Z, Fu Y, Piels M, Pan H P, Beling A, Bowers A E, Campbell J C 2011 Opt. Express 19 385
[137] Li Q L, Li K J, Fu Y, Xie X J, Yang Z Y, Beling A, Campbell J C 2016 J. Lightwave Tech. 34 2139
[138] Zhou Q G, Cross A S, Fu Y, Beling A, Foley B M, Hopkins P E, Campbell J C 2013 IEEE Photon. J. 5 6800307
[139] Rodwell M J W, Kamegawa M, Yu R, Case M, Carman E, Giboney K S 1991 IEEE Trans. Microw. Theory Tech. 39 1194
[140] Zhao W Y, Jiang H F, Zhang S G 2008 J. Time and Frequency 31 81 (in Chinese) [赵文宇, 姜海峰, 张首刚 2008 时间频率学报 31 81]
[141] Quinlan F, Fortier T M, Kirchner M S, Taylor J A, Thorpe M J, Lemke N, Ludlow A D, Jiang, Y Y, Diddams S A 2011 Opt. Lett. 36 3260
[142] Portuondo-Campa E, Buchs G, Kundermann S, Balet L, Lecomte S 2015 Opt. Express 23 32441
-
[1] Britton J W, Sawyer B C, Keith A C, Wang C C J, Freericks J K, Uys H, Biercuk M J, Bollinger J J 2012 Nature 484 489
[2] DeLorenzo L A, Schwab K C 2014 New J. Phys. 16 113020
[3] Cliche J F, Shillue B, Latrasse C, Tetu M, D’Addario L 2004 in: Oschmann J M ed. Ground-Based Telescopes, Pts 1 and 2 5489 1115
[4] Nand N R, Hartnett J G, Ivanov E N, Santarelli G 2011 IEEE Trans. Microwave Theory Tech. 59 2978
[5] Kim J, Cox J A, Chen J, Kartner F X 2008 Nat. Photon. 2 733
[6] Minoshima K, Matsumoto H 2000 Appl. Opt. 39 5512
[7] Besson R J 1977 Proc. Freq. Contr. Symp. 147
[8] Besson R J, Mourey M, Galliou S, Marionnet F, Gonzalez F, Guillemot P, Tjoelker R, Diener W, Kirk A 1999 Proc. Freq. Contr. Symp. 326
[9] Stein S R, Turneaure J P 1972 Electron. Lett. 8 321
[10] Hartnett J G, Nand N R 2010 IEEE Trans. Microw. Theory Tech. 58 3580
[11] Hartnett J G, Parker S R, Ivanov E N, Povey T, Nand N R, Floch J M 2014 Electron. Lett. 50 294
[12] Xie X P, Bouchand R, Nicolodi D, Giunta M, Hansel W, Lezius M, Joshi A, Datta S, Alexandre C, Lours M, Tremblin P A, Santarelli G, Holzwarth R, Le Coq Y 2017 Nat. Photon. 11 44
[13] Young B C, Cruz F C, Itano W M, Bergquist J C 1999 Phys. Rev. Lett. 82 3799
[14] Diddams S A, Jones D J, Ye J, Cundiff S T, Hall J L, Ranka J K, Windeler R S, Holzwarth R, Udem T, Hansch T W 2000 Phys. Rev. Lett. 84 5102
[15] Holzwarth R, Udem T, Hansch T W, Knight J C, Wadsworth W J, Russell P S J 2000 Phys. Rev. Lett. 85 2264
[16] Ye J, Hall J L, Diddams S A 2000 Opt. Lett. 25 1675
[17] Bartels A, Diddams S A, Oates C W, Wilpers G, Bergquist J C, Oskay W H, Hollberg L 2005 Opt. Lett. 30 667
[18] Fortier T M, Kirchner M S, Quinlan F, Taylor J, Bergquist J C, Rosenband T, Lemke N, Ludlow A, Jiang Y, Oates C W, Diddams S A 2011 Nat. Photon. 5 425
[19] Weyers S, Lipphardt B, Schnatz H 2009 Phys. Rev. A 79 031803
[20] Millo J, Abgrall M, Lours M, English E M L, Jiang H, Guena J, Clairon A, Tobar M E, Bize S, Le Coq Y, Santarelli G 2009 Appl. Phys. Lett. 94 141105
[21] Fortier T M, Rolland A, Quinlan F, Baynes F N, Metcalf A J, Hati A, Ludlow A D, Hinkley N, Shimizu M, Ishibashi T, Campbell J C, Diddams S A 2016 Laser Photon. Rev. 10 780
[22] Yan L L, Zhao W Y, Zhang Y Y, Tai Z Y, Zhang P, Rao B J, Ning K, Zhang X F, Guo W G, Zhang S G, Jiang H F 2018 Chin. Phys. B 27 030601
[23] Clairon A, Laurent P, Santarelli G, Ghezali S, Lea S N, Bahoura M 1995 IEEE Trans. Instrum. Measur. 44 128
[24] Guena J, Abgrall M, Rovera D, Laurent P, Chupin B, Lours M, Santarelli G, Rosenbusch P, Tobar M E, Li R X 2012 IEEE Trans. Ultras. Ferroelectr. Frequency Control 59 391
[25] Gill P 2011 Philos. Trans. Royal Soc. A: Math. Phys. Eng. Sci. 369 4109
[26] Kogelnik H, Li T 1966 Appl. Opt. 5 1550
[27] Swann W C, Baumann E, Giorgetta F R, Newbury N R 2011 Opt. Express 19 24387
[28] Schawlow A L, Townes C H 1958 Phys. Rev. 112 1940
[29] Könz F, Sun Y, Thiel C W, Cone R L, Equall R W, Hutcheson R L, Macfarlane R M 2003 Phys. Rev. B 68 085109
[30] Ludlow A D, Boyd M M, Ye J, Peik E, Schmidt P O 2015 Rev. Mod. Phys. 87 637
[31] Wu L, Jiang Y, Ma C, Qi W, Yu H, Bi Z, Ma L 2016 Sci. Reports 6 24969
[32] Tai Z Y, Yan L L, Zhang Y Y, Zhang X F, Guo W G, Zhang S G, Jiang H F 2017 Chin. Phys. Lett. 34 090602
[33] Callen H B, Greene R F 1952 Phys. Rev. 86 702
[34] Braginsky V B, Gorodetsky M L, Vyatchanin S P 1999 Phys. Lett. A 264 1
[35] Levin Y 1998 Phys. Rev. D 57 659
[36] Nakagawa N, Gustafson E K, Beyersdorf P T, Fejer M M 2002 Phys. Rev. D 65 082002
[37] Crooks D R M, Cagnoli G, Fejer M M, Gretarsson A, Harry G, Hough J, Nakagawa N, Penn S, Route R, Rowan S, Sneddon P H 2004 Classical and Quantum Gravity 21 S1059
[38] Numata N, Yamamoto K, Ishimoto H, Otsuka S, Kawabe K, Ando M, Tsubono K 2004 Phys. Lett. A 327 263
[39] Numata K, Kemery A, Camp J 2004 Phys. Rev. Lett. 93 250602
[40] Allan D 1966 Proc. IEEE 54 221
[41] Dawkins S, Mcferran, J, Luiten A 2007 Ultrasonics, Ferroelectrics and Frequency Control, IEEE Trans. on 54 918
[42] Millo J, Magalhaes D V, Mandache C, Le Coq Y, English E M L, Westergaard P G, Lodewyck J, Bize S, Lemonde P, Santarelli G 2009 Phys. Rev. A 79 053829
[43] Legero T, Kessler T, Sterr U 2010 J. Opt. Soc. Am. B 27 914
[44] Cole G, Zhang W, Martin M, Ye J, Aspelmeyer M 2013 Nat. Photon. 7 644
[45] Jiang H, Kéfélian F, Crane S, Lopez O, Lours M, Millo J, Holleville D, Lemonde P, Chardonnet C, Amy-Klein A, Santarelli G 2008 J. Opt. Soc. Am. B 25 2029
[46] Häfner S, Falke S, Grebing C, Vogt S, Legero T, Merimaa M, Lisdat C, Sterr U 2015 Opt. Lett. 40 2112
[47] Schioppo M, Brown R C, McGrew W F, Hinkley N, Fasano R J, Beloy K, Yoon T H, Milani G, Nicolodi D, Sherman J A, Phillips N B, Oates C W, Ludlow A D 2017 Nat. Photon. 11 48
[48] Webster S A, Oxborrow M, Gill P 2007 Phys. Rev. A 75 011801
[49] Webster S, Gill P 2011 Opt. Lett. 36 3572
[50] Argence B, Prevost E, Lévèque T, Le Goff R, Bize S, Lemonde P, Santarelli G 2012 Opt. Express 20 25409
[51] Leibrandt D R, Bergquist J C, Rosenband T 2013 Phys. Rev. A 87 023829
[52] Kessler T, Hagemann C, Grebing C, Legero T, Sterr U, Riehle F, Martin M J, Chen L, Ye J 2012 Nat. Photon. 6 687
[53] Matei D G, Legero T, Hafner S, Grebing C, Weyrich R, Zhang W, Sonderhouse L, Robinson J M, Ye J, Riehle F, Sterr U 2017 Phys. Rev. Lett. 118 263202
[54] Zhang W, Robinson J M, Sonderhouse L, Oelker E, Benko C, Hall J L, Legero T, Matei D G, Riehle F, Sterr U, Ye J 2017 Phys. Rev. Lett. 119 243601
[55] Jiang Y Y, Ludlow A D, Lemke N D, Fox R W, Sherman J A, Ma L S, Oates C W 2011 Nat. Photon. 5 158
[56] Tai Z Y, Yan L L, Zhang Y Y, Zhang P, Zhang X F, Guo W G, Zhang S G, Jiang H F 2018 arXiv:1802.01775 [physics.ins-det]
[57] Pound R 1946 Rev. Sci. Instrum. 17 490
[58] Drever R W P, Hall J L, Kowalski F V, Hough J, Ford G M, Munley A J, Ward H 1983 Appl. Phys. B 31 97
[59] Black E D 2001 Am. J. Phys. 69 79
[60] Wong N C, Hall J L 1985 J. Opt. Soc. Am. B 2 1527
[61] Li L, Liu F, Wang C, Chen L 2012 Rev. Sci. Instrum. 83 043111
[62] Jiang H 2010 Ph. D. Dissertation (Paris: University of Paris)
[63] Zhang W, Martin M J, Benko C, Hall J L, Ye J, Hagemann C, Legero T, Sterr U, Riehle F, Cole G D, Aspelmeyer M 2014 Opt. Lett. 39 1980
[64] Tai Z, Yan L, Zhang Y, Zhang X, Guo W, Zhang S, Jiang H 2016 Opt. Lett. 41 5584
[65] Li Z X, Ma W G, Yang W H, Wang Y J, Zheng Y H 2005 Opt. Lett. 41 3331
[66] Donley E A, Heavner T P, Levi F, Tataw M O, Jefferts S R 2005 Rev. Sci. Instrum. 76 063112
[67] Ma L S, Jungner P, Ye J, Hall J L 1994 Opt. Lett. 19 1777
[68] Predehl K, Grosche G, Raupach S M F, Droste S, Terra O, Alnis J, Legero T, Hansch T W, Udem T, Holzwarth R, Schnatz H 2012 Science 336 441
[69] Poli N, Oates C W, Gill P, Tino G M 2013 Rivista Del Nuovo Cimento 36 555
[70] Stolen R H, Lin C 1978 Phys. Rev. A 17 1448
[71] Birks T A, Roberts P J, Russell P, Atkin D M, Shepherd T J 1995 Electron. Lett. 31 1941
[72] Dudley J M, Genty G, Cose S 2006 Rev. Mod. Phys. 78 1135
[73] Spence D E, Kean P N, Sibbett W 1991 Opt. Lett. 16 42
[74] Proctor B, Westwig E, Wise F 1993 Opt. Lett. 18 1654
[75] Salin F, Squier J, Pichè M 1991 Opt. Lett. 16 1674
[76] Haus H A 1975 IEEE J. Quantum Electron. 11 736
[77] Hartl I, Schibli T R, Marcinkevicius A, Yost D C, Hudson D D, Fermann M E, Ye J 2007 Opt. Lett. 32 2870
[78] Washburn B R, Diddams S A, Newbury N R, Nicholson J W, Yan M F, Jorgensen C G 2004 Opt. Lett. 29 250
[79] Phillips C R, Langrock C, Pelc J S, Fejer M M, Jiang J, Fermann M E, Hartl I 2011 Opt. Lett. 36 3912
[80] Morgner U, Kartner F X, Cho S H, Chen Y, Haus H A, Fujimoto J G, Ippen E P, Scheuer V, Angelow G, Tschudi T 1999 Opt. Lett. 24 411
[81] Reichert J, Holzwarth R, Udem T, Hansch T W 1999 Opt. Commun. 172 59
[82] Gires F, Tournois C R 1964 Science 258 6112
[83] Szipocs R, Ferencz K, Spielmann C, Krausz F 1994 Opt. Lett. 19 201
[84] Fortier T M, Bartels A, Diddams S A 2006 Opt. Lett. 31 1011
[85] Bartels A, Heinecke D, Diddams S A 2009 Science 326 681
[86] Sinclair L C, Coddington I, Swann W C, Rieker G B, Hati A, Iwakuni K, Newbury N R 2014 Opt. Express 22 6996
[87] Lee J, Lee K, Jang Y S, Jang H, Han S, Lee S H, Kang K I, Lim C W, Kim Y J, Kim S W 2014 Sci. Report 4 05134
[88] Lezius M, Wilken T, Deutsch C, Giunta M, Mandel O, Thaller A, Schkolnik V, Schiemangk M, Dinkelaker A, Kohfeldt A, Wicht A, Krutzik M, Peters A, Hellmig O, Duncker H, Sengstock K, Windpassinger P, Lampmann K, Hlsing T, Hänsch T W, Holzwarth R 2016 Optica 3 1381
[89] Droste S, Ycas G, Washburn B R, Coddington I, Newbury N R 2016 Nanophotonics 5 196
[90] Doran N J, Wood D 1988 Opt. Lett. 13 56
[91] Fermann F H M E, Hofer M, Hochreiter H 1990 Opt. Lett. 15 752
[92] Duling I N 1991 Opt. Lett. 16 539
[93] Kim J, Song Y J 2016 Adv. Opt. Photon. 8 465
[94] Hong L, Donald D K, Sorin W V 1994 J. Lightwave Technol. 12 1121
[95] Kuse N, Jiang J, Lee C C, Schibli T R, Fermann M E 2016 Opt. Express 24 3095
[96] Kärtner F X, Brovelli L R, Kopf D, Kamp M, Calasso I, Keller U 1995 Opt. Eng. 34 2024
[97] Okhotnikov O, Grudinin A, Pessa M 2004 New J. Phys. 6 177
[98] Song Y W, Yamashita S, Goh C S, Set S Y 2007 Opt. Lett. 32 148
[99] Popa D, Sun Z, Torrisi F, Hasan T, Wang F, Ferrari A C 2010 Appl. Phys. Lett. 97 203106
[100] Lee J, Koo J, Jhon Y M, Lee J H 2014 Opt. Express 22 6165
[101] Sotor J, Sobon G, Grodecki K, Abramski K M 2014 Appl. Phys. Lett. 104 251112
[102] Sinclair L C, Deschenes J D, Sonderhouse L, Swann W C, Khader I H, Baumann E, Newbury N R, Coddington I 2015 Rev. Sci. Instrum. 86 081301
[103] Kim S, Kim Y, Park J, Han S, Park S, Kim Y J, Kim S W 2012 Opt. Express 20 15054
[104] Li X, Zou W, Chen J 2014 Opt. Lett. 39 1553
[105] Wu X J, Yang L J, Zhang H Y, Yang H L, Wei H Y, Li Y 2015 Appl. Opt. 54 1681
[106] Zhang Y, Fan S T, Yan L, Zhang L, Zhang X, Guo W, Zhang S, Jiang H 2017 Opt. Express 25 21719
[107] Ramond T M, Diddams S A, Hollberg L, Bartels A 2002 Opt. Lett. 27 1842
[108] Krauss G, Fehrenbacher D, Brida D, Riek C, Sell A, Huber R, Leitenstorfer A 2011 Opt. Lett. 36 540
[109] Hudson D D, Holman K W, Jones R J, Cundiff S T, Ye J, Jones D J 2005 Opt. Lett. 30 2948
[110] Baumann E, Giorgetta F R, Nicholson J W, Swann W C, Coddington I, Newbury N R 2009 Opt. Lett. 34 638
[111] Iwakuni K, Inaba H, Nakajima Y, Kobayashi T, Hosaka K, Onae A, Hong F L 2012 Opt. Express 20 13769
[112] Yan L L, Zhang Y Y, Zhang L, FAN S T, Zhang X F, Guo W G, Zhang S G, Jiang H F 2015 Chin. Phys. Lett. 32 104207
[113] Hänsel W, Giunta M, Fischer M, Lezius M, Holzwarth R 2017 Proceeding of Joint Conference of the IEEE International Frequency Control and European Frequency and Time Forum 128
[114] Koke S, Grebing C, Frei H, Anderson A, Assion A, Steinmeyer G 2010 Nat. Photon. 4 462
[115] Newbury N R, Washburn B R 2005 IEEE J. Quantum Electron. 41 1388
[116] Taylor J, Datta S, Hati A, Nelson C, Quinlan F, Joshi A, Diddams S 2011 IEEE Photon. J. 3 140
[117] Johnson J B 1928 Phys. Rev. 32 97
[118] Jiang H F, Taylor J, Quinlan F, Fortier T, Diddams S A 2011 IEEE Photon. J. 3 1004
[119] Ycas G G, Quinlan F, Diddams S A, Osterman S, Mahadevan S, Redman S, Terrien R, Ramsey L, Bender C F, Botzer B, Sigurdsson S 2012 Opt. Express 20 6631
[120] Haboucha A, Zhang W, Li T, Lours M, Luiten A, Coq Y L, Santarelli G 2011 Opt. Lett. 36 3654
[121] Fortier T M, Quinlan F, Hati A, Nelson C, Taylor J A, Fu Y, Campbell J, Diddams S A 2013 Opt. Lett. 38 1712
[122] Rubiola E, Santarelli G 2013 Nat. Photon. 7 269
[123] Quinlan F, Fortier T M, Jiang H F, Diddams S A 2013 J. Opt. Soc. Am. B 30 1775
[124] Quinlan F, Fortier T M, Jiang H, Hati A, Nelson C, Fu Y, Campbell J C, Diddams S A 2013 Nat. Photon. 7 290
[125] Fortier T M, Nelson C W, Hati A, Quinlan F, Taylor J, Jiang H, Chou C W, Rosenband T, Lemke N, Ludlow A, Howe D, Oates C W, Diddams S A 2012 Appl. Phys. Lett. 100 231111
[126] Jung K, Shin J, Kang J, Hunziker S, Min C K, Kim J 2014 Opt. Lett. 39 1577
[127] Jung K, Shin J, Kim J 2013 IEEE Photon. J. 5 5500906
[128] Avellino W R 1964 Proc. IEEE 52 868
[129] Boudot R, Guerandel S, de Clercq E 2009 IEEE Trans. Instrum. Meas. 58 3659
[130] Yan L, Meng S, Zhao W, Guo W, Jiang H, Zhang S 2015 J. Electron. Sci. Tech. 13 264
[131] Hati A, Nelson C W, Barnes C, Lirette D, de Salvo J A, Howe D A 2012 Ultrasonics, Ferroelectrics and Frequency Control, IEEE Trans. on 59 2596
[132] Hati A, Nelson C W, Barnes C, Lirette D, Fortier T, Quinlan F, de Salvo J A, Ludlow A, Diddams S A, Howe D A 2013 Ultrasonics, Ferroelectrics and Frequency Control, IEEE Trans. on 60 1796
[133] Fortier T M, Rolland A, Quinlan F, Baynes F N, Metcalf A J, Hati A, Ludlow A D, Hinkley N, Shimizu M, Ishibashi T, Campbell J C, Diddams S A 2016 Laser Photon. Rev. 10 780
[134] Yao Y, Jiang Y Y, Yu H F, Bi Z Y, Ma L S 2016 National Sci. Rev. 3 463
[135] Leopardi H, Davila-Rodriguez J, Quinlan F, Olson J, Sherman J A, Diddams S A, Fortier T 2017 Optica 4 879
[136] Li Z, Fu Y, Piels M, Pan H P, Beling A, Bowers A E, Campbell J C 2011 Opt. Express 19 385
[137] Li Q L, Li K J, Fu Y, Xie X J, Yang Z Y, Beling A, Campbell J C 2016 J. Lightwave Tech. 34 2139
[138] Zhou Q G, Cross A S, Fu Y, Beling A, Foley B M, Hopkins P E, Campbell J C 2013 IEEE Photon. J. 5 6800307
[139] Rodwell M J W, Kamegawa M, Yu R, Case M, Carman E, Giboney K S 1991 IEEE Trans. Microw. Theory Tech. 39 1194
[140] Zhao W Y, Jiang H F, Zhang S G 2008 J. Time and Frequency 31 81 (in Chinese) [赵文宇, 姜海峰, 张首刚 2008 时间频率学报 31 81]
[141] Quinlan F, Fortier T M, Kirchner M S, Taylor J A, Thorpe M J, Lemke N, Ludlow A D, Jiang, Y Y, Diddams S A 2011 Opt. Lett. 36 3260
[142] Portuondo-Campa E, Buchs G, Kundermann S, Balet L, Lecomte S 2015 Opt. Express 23 32441
计量
- 文章访问数: 9042
- PDF下载量: 398
- 被引次数: 0