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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 22 — Aug. 1, 2011
  • pp: 4340–4346

Pound–Drever–Hall error signals for the length control of three-port grating coupled cavities

Michael Britzger, Daniel Friedrich, Stefanie Kroker, Frank Brückner, Oliver Burmeister, Ernst-Bernhard Kley, Andreas Tünnermann, Karsten Danzmann, and Roman Schnabel  »View Author Affiliations


Applied Optics, Vol. 50, Issue 22, pp. 4340-4346 (2011)
http://dx.doi.org/10.1364/AO.50.004340


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Abstract

Gratings enable light coupling into an optical cavity without transmission through any substrate. This concept reduces light absorption and substrate heating and was suggested for light coupling into the arm cavities of future gravitational wave detectors. One particularly interesting approach is based on all- reflective gratings with low diffraction efficiencies and three diffraction orders (three ports). However, it was discovered that, generally, three-port grating coupled cavities show an asymmetric resonance profile that results in asymmetric and low quality Pound–Drever–Hall error signals for cavity length control. We experimentally demonstrate that this problem is solved by the detection of light at both reflection ports of the cavity and the postprocessing of the two demodulated electronic signals.

© 2011 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2230) Diffraction and gratings : Fabry-Perot
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(230.1950) Optical devices : Diffraction gratings

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 10, 2010
Revised Manuscript: February 18, 2011
Manuscript Accepted: February 27, 2011
Published: July 22, 2011

Citation
Michael Britzger, Daniel Friedrich, Stefanie Kroker, Frank Brückner, Oliver Burmeister, Ernst-Bernhard Kley, Andreas Tünnermann, Karsten Danzmann, and Roman Schnabel, "Pound–Drever–Hall error signals for the length control of three-port grating coupled cavities," Appl. Opt. 50, 4340-4346 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-22-4340


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References

  1. B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, R. S. Amin, S. B. Anderson, W. G. Anderson, M. A. Arain, M. Araya, H. Armandula, P. Armor, Y. Aso, S. Aston, P. Aufmuth, C. Aulbert, S. Babak, P. Baker, S. Ballmer, C. Barker, D. Barker, B. Barr, P. Barriga, L. Barsotti, M. A. Barton, I. Bartos, R. Bassiri, M. Bastarrika, B. Behnke, M. Benacquista, J. Betzwieser, P. T. Beyersdorf, I. A. Bilenko, G. Billingsley, R. Biswas, E. Black, J. K. Blackburn, L. Blackburn, D. Blair, B. Bland, T. P. Bodiya, L. Bogue, R. Bork, V. Boschi, S. Bose, P. R. Brady, V. B. Braginsky, J. E. Brau, D. O. Bridges, M. Brinkmann, A. F. Brooks, D. A. Brown, A. Brummit, G. Brunet, A. Bullington, A. Buonanno, O. Burmeister, R. L. Byer, L. Cadonati, J. B. Camp, J. Cannizzo, K. C. Cannon, J. Cao, L. Cardenas, S. Caride, G. Castaldi, S. Caudill, M. Cavagli, C. Cepeda, T. Chalermsongsak, E. Chalkley, P. Charlton, S. Chatterji, S. Chelkowski, Y. Chen, N. Christensen, C. T. Y. Chung, D. Clark, J. Clark, J. H. Clayton, T. Cokelaer, C. N. Colacino, R. Conte, D. Cook, T. R. C. Corbitt, N. Cornish, D. Coward, D. C. Coyne, J. D. E. Creighton, T. D. Creighton, A. M. Cruise, R. M. Culter, A. Cumming, L. Cunningham, S. L. Danilishin, K. Danzmann, B. Daudert, G. Davies, E. J. Daw, D. DeBra, J. Degallaix, V. Dergachev, S. Desai, R. DeSalvo, S. Dhurandhar, M. Daz, A. Dietz, F. Donovan, K. L. Dooley, E. E. Doomes, R. W. P. Drever, J. Dueck, I. Duke, J.-C. Dumas, J. G. Dwyer, C. Echols, M. Edgar, A. Effler, P. Ehrens, E. Espinoza, T. Etzel, M. Evans, T. Evans, S. Fairhurst, Y. Faltas, Y. Fan, D. Fazi, H. Fehrmenn, L. S. Finn, K. Flasch, S. Foley, C. Forrest, N. Fotopoulos, A. Franzen, M. Frede, M. Frei, Z. Frei, A. Freise, R. Frey, T. Fricke, P. Fritschel, V. V. Frolov, M. Fyffe, V. Galdi, J. A. Garofoli, I. Gholami, J. A. Giaime, S. Giampanis, K. D. Giardina, K. Goda, E. Goetz, L. M. Goggin, G. Gonzlez, M. L. Gorodetsky, S. Goler, R. Gouaty, A. Grant, S. Gras, C. Gray, M. Gray, R. J. S. Greenhalgh, A. M. Gretarsson, F. Grimaldi, R. Grosso, H. Grote, S. Grunewald, M. Guenther, E. K. Gustafson, R. Gustafson, B. Hage, J. M. Hallam, D. Hammer, G. D. Hammond, C. Hanna, J. Hanson, J. Harms, G. M. Harry, I. W. Harry, E. D. Harstad, K. Haughian, K. Hayama, J. Heefner, I. S. Heng, A. Heptonstall, M. Hewitson, S. Hild, E. Hirose, D. Hoak, K. A. Hodge, K. Holt, D. J. Hosken, J. Hough, D. Hoyland, B. Hughey, S. H. Huttner, D. R. Ingram, T. Isogai, M. Ito, A. Ivanov, B. Johnson, W. W. Johnson, D. I. Jones, G. Jones, R. Jones, L. Ju, P. Kalmus, V. Kalogera, S. Kandhasamy, J. Kanner, D. Kasprzyk, E. Katsavounidis, K. Kawabe, S. Kawamura, F. Kawazoe, W. Kells, D. G. Keppel, A. Khalaidovski, F. Y. Khalili, R. Khan, E. Khazanov, P. King, J. S. Kissel, S. Klimenko, K. Kokeyama, V. Kondrashov, R. Kopparapu, S. Koranda, D. Kozak, B. Krishnan, R. Kumar, P. Kwee, P. K. Lam, M. Landry, B. Lantz, A. Lazzarini, H. Lei, M. Lei, N. Leindecker, I. Leonor, C. Li, H. Lin, P. E. Lindquist, T. B. Littenberg, N. A. Lockerbie, D. Lodhia, M. Longo, M. Lormand, P. Lu, M. Lubinski, A. Lucianetti, H. Lück, B. Machenschalk, M. MacInnis, M. Mageswaran, K. Mailand, I. Mandel, V. Mandic, S. Mrka, Z. Mrka, A. Markosyan, J. Markowitz, E. Maros, I. W. Martin, R. M. Martin, J. N. Marx, K. Mason, F. Matichard, L. Matone, R. A. Matzner, N. Mavalvala, R. McCarthy, D. E. McClelland, S. C. McGuire, M. McHugh, G. McIntyre, D. J. A. McKechan, K. McKenzie, M. Mehmet, A. Melatos, A. C. Melissinos, D. F. Menndez, G. Mendell, R. A. Mercer, S. Meshkov, C. Messenger, M. S. Meyer, J. Miller, J. Minelli, Y. Mino, V. P. Mitrofanov, G. Mitselmakher, R. Mittleman, O. Miyakawa, B. Moe, S. D. Mohanty, S. R. P. Mohapatra, G. Moreno, T. Morioka, K. Mors, K. Mossavi, C. MowLowry, G. Mueller, H. Müller-Ebhardt, D. Muhammad, S. Mukherjee, H. Mukhopadhyay, A. Mullavey, J. Munch, P. G. Murray, E. Myers, J. Myers, T. Nash, J. Nelson, G. Newton, A. Nishizawa, K. Numata, J. O’Dell, B. O’Reilly, R. O’Shaughnessy, E. Ochsner, G. H. Ogin, D. J. Ottaway, R. S. Ottens, H. Overmier, B. J. Owen, Y. Pan, C. Pankow, M. A. Papa, V. Parameshwaraiah, P. Patel, M. Pedraza, S. Penn, A. Perraca, V. Pierro, I. M. Pinto, M. Pitkin, H. J. Pletsch, M. V. Plissi, F. Postiglione, M. Principe, R. Prix, L. Prokhorov, O. Punken, V. Quetschke, F. J. Raab, D. S. Rabeling, H. Radkins, P. Raffai, Z. Raics, N. Rainer, M. Rakhmanov, V. Raymond, C. M. Reed, T. Reed, H. Rehbein, S. Reid, D. H. Reitze, R. Riesen, K. Riles, B. Rivera, P. Roberts, N. A. Robertson, C. Robinson, E. L. Robinson, S. Roddy, C. Röver, J. Rollins, J. D. Romano, J. H. Romie, S. Rowan, A. Rüdiger, P. Russell, K. Ryan, S. Sakata, L. Sancho de. la. Jordana, V. Sandberg, V. Sannibale, L. Santamara, S. Saraf, P. Sarin, B. S. Sathyaprakash, S. Sato, M. Satterthwaite, P. R. Saulson, R. Savage, P. Savov, M. Scanlan, R. Schilling, R. Schnabel, R. Schofield, B. Schulz, B. F. Schutz, P. Schwinberg, J. Scott, S. M. Scott, A. C. Searle, B. Sears, F. Seifert, D. Sellers, A. S. Sengupta, A. Sergeev, B. Shapiro, P. Shawhan, D. H. Shoemaker, A. Sibley, X. Siemens, D. Sigg, S. Sinha, A. M. Sintes, B. J. J. Slagmolen, J. Slutsky, J. R. Smith, M. R. Smith, N. D. Smith, K. Somiya, B. Sorazu, A. Stein, L. C. Stein, S. Steplewski, A. Stochino, R. Stone, K. A. Strain, S. Strigin, A. Stroeer, A. L. Stuver, T. Z. Summerscales, K.-X. Sun, M. Sung, P. J. Sutton, G. P. Szokoly, D. Talukder, L. Tang, D. B. Tanner, S. P. Tarabrin, J. R. Taylor, R. Taylor, J. Thacker, K. A. Thorne, A. Thüring, K. V. Tokmakov, C. Torres, C. Torrie, G. Traylor, M. Trias, D. Ugolini, J. Ulmen, K. Urbanek, H. Vahlbruch, M. Vallisneri, C. Van Den Broeck, M. V. van der Sluys, A. A. van Veggel, S. Vass, R. Vaulin, A. Vecchio, J. Veitch, P. Veitch, C. Veltkamp, A. Villar, C. Vorvick, S. P. Vyachanin, S. J. Waldman, L. Wallace, R. L. Ward, A. Weidner, M. Weinert, A. J. Weinstein, R. Weiss, L. Wen, S. Wen, K. Wette, J. T. Whelan, S. E. Whitcomb, B. F. Whiting, C. Wilkinson, P. A. Willems, H. R. Williams, L. Williams, B. Willke, I. Wilmut, L. Winkelmann, W. Winkler, C. C. Wipf, A. G. Wiseman, G. Woan, R. Wooley, J. Worden, W. Wu, I. Yakushin, H. Yamamoto, Z. Yan, S. Yoshida, M. Zanolin, J. Zhang, L. Zhang, C. Zhao, N. Zotov, M. E. Zucker, H. zur Mühlen, and J. Zweizig, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009). [CrossRef]
  2. F. Acernese, P. Amico, M. Alshourbagy, F. Antonucci, S. Aoudia, S. Avino, D. Babusci, G. Ballardin, F. Barone, L. Barsotti, M. Barsuglia, F. Beauville, S. Bigotta, S. Birindelli, M. A. Bizouard, C. Boccara, F. Bondu, L. Bosi, C. Bradaschia, S. Braccini, A. Brillet, V. Brisson, L. Brocco, D. Buskulic, E. Calloni, E. Campagna, F. Cavalier, R. Cavalieri, G. Cella, E. Cesarini, E. Chassande-Mottin, C. Corda, F. Cottone, A.-C. Clapson, F. Cleva, J.-P. Coulon, E. Cuoco, A. Dari, V. Dattilo, M. Davier, R. De Rosa, L. Di Fiore, A. Di Virgilio, B. Dujardin, A. Eleuteri, D. Enard, I. Ferrante, F. Fidecaro, I. Fiori, R. Flaminio, J.-D. Fournier, O. Francois, S. Frasca, F. Frasconi, A. Freise, L. Gammaitoni, F. Garufi, A. Gennai, A. Giazotto, G. Giordano, L. Giordano, R. Gouaty, D. Grosjean, G. Guidi, S. Hebri, H. Heitmann, P. Hello, L. Holloway, S. Karkar, S. Kreckelbergh, P. La Penna, M. Laval, N. Leroy, N. Letendre, M. Lorenzini, V. Loriette, M. Loupias, G. Losurdo, J.-M. Mackowski, E. Majorana, C. N. Man, M. Mantovani, F. Marchesoni, F. Marion, J. Marque, F. Martelli, A. Masserot, M. Mazzoni, L. Milano, C. Moins, J. Moreau, N. Morgado, B. Mours, A. Pai, C. Palomba, F. Paoletti, S. Pardi, A. Pasqualetti, R. Passaquieti, D. Passuello, B. Perniola, F. Piergiovanni, L. Pinard, R. Poggiani, M. Punturo, P. Puppo, K. Qipiani, P. Rapagnani, V. Reita, A. Remillieux, F. Ricci, I. Ricciardi, P. Ruggi, G. Russo, S. Solimeno, A. Spallicci, R. Stanga, R. Taddei, M. Tonelli, A. Toncelli, E. Tournefier, F. Travasso, G. Vajente, D. Verkindt, F. Vetrano, A. Vicere, J.-Y. Vinet, H. Vocca, M. Yvert, and Z. Zhang, “The Virgo status,” Class. Quantum Grav. 23, S635–S642 (2006). [CrossRef]
  3. H. Grote (The LIGO Scientific Collaboration), “The status of GEO 600,” Class. Quantum Grav. 25, 114043(2008). [CrossRef]
  4. R. Takahashi (The TAMA Collaboration), “Status of TAMA,” Class. Quantum Grav. 21, S403–S408 (2004). [CrossRef]
  5. M. Punturo, M. Abernathy, F. Acernese, B. Allen, N. Andersson, K. Arun, F. Barone, B. Barr, M. Barsuglia, M. Beker, N. Beveridge, S. Birindelli, S. Bose, L. Bosi, S. Braccini, C. Bradaschia, T. Bulik, E. Calloni, G. Cella, E. Chassande Mottin, S. Chelkowski, A. Chincarini, J. Clark, E. Coccia, C. Colacino, J. Colas, A. Cumming, L. Cunningham, E. Cuoco, S. Danilishin, K. Danzmann, G. De Luca, R. De Salvo, T. Dent, R. Derosa, L. Di Fiore, A. Di Virgilio, M. Doets, V. Fafone, P. Falferi, R. Flaminio, J. Franc, F. Frasconi, A. Freise, P. Fulda, J. Gair, G. Gemme, A. Gennai, A. Giazotto, K. Glampedakis, M. Granata, H. Grote, G. Guidi, G. Hammond, M. Hannam, J. Harms, D. Heinert, M. Hendry, I. Heng, E. Hennes, S. Hild, J. Hough, S. Husa, S. Huttner, G. Jones, F. Khalili, K. Kokeyama, K. Kokkotas, B. Krishnan, M. Lorenzini, H. Lück, E. Majorana, I. Mandel, V. Mandic, I. Martin, C. Michel, Y. Minenkov, N. Morgado, S. Mosca, B. Mours, H. Müller-Ebhardt, P. Murray, R. Nawrodt, J. Nelson, R. Oshaughnessy, C. D. Ott, C. Palomba, A. Paoli, G. Parguez, A. Pasqualetti, R. Passaquieti, D. Passuello, L. Pinard, R. Poggiani, P. Popolizio, M. Prato, P. Puppo, D. Rabeling, P. Rapagnani, J. Read, T. Regimbau, H. Rehbein, S. Reid, L. Rezzolla, F. Ricci, F. Richard, A. Rocchi, S. Rowan, A. Rüdiger, B. Sassolas, B. Sathyaprakash, R. Schnabel, C. Schwarz, P. Seidel, A. Sintes, K. Somiya, F. Speirits, K. Strain, S. Strigin, P. Sutton, S. Tarabrin, J. van den Brand, C. van Leewen, M. van Veggel, C. van den Broeck, A. Vecchio, J. Veitch, F. Vetrano, A. Vicere, S. Vyatchanin, B. Willke, G. Woan, P. Wolfango, and K. Yamamoto, “The third generation of gravitational wave observatories and their science reach,” Class. Quantum Grav. 27, 084007 (2010). [CrossRef]
  6. K. A. Strain, K. Danzmann, J. Mizuno, P. G. Nelson, A. Rüdiger, R. Schilling, and W. Winkler, “Thermal lensing in recycling interferometric gravitational-wave detectors,” Phys. Lett. A 194, 124–132 (1994). [CrossRef]
  7. V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, “Thermo-refractive noise in gravitational wave antennae,” Phys. Lett. A 271, 303–307 (2000). [CrossRef]
  8. K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M.-K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, “Large-scale cryogenic gravitational wave telescope,” Int. J. Mod. Phys. D 8, 557–579(1999). [CrossRef]
  9. R. Nawrodt, A. Zimmer, T. Koettig, T. Clausnitzer, A. Bunkowski, E. B. Kley, R. Schnabel, K. Danzmann, S. Nietzsche, W. Vodel, A. Tünnermann, and P. Seidel, “Mechanical Q-factor measurements on a test mass with a structured surface,” New J. Phys. 9, 225–234 (2007). [CrossRef]
  10. R. W. P. Drever, “Concepts for extending the ultimate sensitivity of interferometric gravitational wave detectors using non-transmissive optics with diffractive or holographic coupling,” in Proceedings of the Seventh Marcel Grossman Meeting on General Relativity, R.T.Jantzen, G.M.Keiser, and R.Ruffini, eds., (World Scientific, 1995), pp. 1401–1406.
  11. K.-X. Sun and R. L. Byer, “All-reflective Michelson, Sagnac, and Fabry-Perot interferometers based on grating beam splitters,” Opt. Lett. 23, 567–569 (1998). [CrossRef]
  12. A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E.-B. Kley, and A. Tünnermann, “Low-loss grating for coupling to a high-finesse cavity,” Opt. Lett. 29, 2342–2344 (2004). [CrossRef] [PubMed]
  13. A. Bunkowski, O. Burmeister, K. Danzmann, and R. Schnabel, “Input-output relations for a 3-port grating coupled Fabry-Perot cavity,” Opt. Lett. 30, 1183–1185 (2005). [CrossRef] [PubMed]
  14. E. D. Black, “An introduction to Pound-Drever-Hall laser frequency stabilization,” Am. J. Phys. 69, 79–87(2001). [CrossRef]
  15. A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, T. Clausnitzer, E.-B. Kley, and A. Tünnermann, “Demonstration of three-port grating phase relations,” Opt. Lett. 31, 2384–2386 (2006). [CrossRef] [PubMed]
  16. O. Burmeister, M. Britzger, A. Thüring, D. Friedrich, F. Brückner, K. Danzmann, and R. Schnabel, “All-reflective coupling of two optical cavities with 3-port diffraction gratings,” Opt. Express 18, 9119–9132 (2010). [CrossRef] [PubMed]
  17. M. P. Edgar, B. W. Barr, J. Nelson, M. V. Plissi, K. A. Strain, O. Burmeister, M. Britzger, K. Danzmann, R. Schnabel, T. Clausnitzer, F. Brückner, E.-B. Kley, and A. Tünnerman, “Experimental demonstration of a suspended diffractively coupled optical cavity,” Opt. Lett. 34, 3184–3186(2009). [CrossRef] [PubMed]
  18. T. Clausnitzer, E.-B. Kley, A. Tünnermann, A. Bunkowski, O. Burmeister, R. Schnabel, K. Danzmann, S. Gliech, and A. Duparré, “Ultra low-loss low-efficiency diffraction gratings,” Opt. Express 13, 4370–4378 (2005). [CrossRef] [PubMed]
  19. B. Willke, N. Uehara, E. K. Gustafson, and R. L. Byer, “Spatial and temporal filtering of a 10 W Nd:YAG laser with a Fabry-Perot ring-cavity premode cleaner,” Opt. Lett. 23, 1704–1706 (1998). [CrossRef]