![]() |
1 | Abramochkin, E., and Volostnikov, V., “Beam transformations and nontransformed beams”,
Opt. Commun., 83, 123–135, (1991). [![]() |
![]() |
2 | Abramowitz, M., and Stegun, I.A., eds., Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables, (Dover, New York, 1965), corr. edition. [![]() |
![]() |
3 | Acernese, F. (Virgo Collaboration), “The Virgo automatic alignment system”, Class. Quantum
Grav., 23(8), S91–S101, (2006). [![]() |
![]() |
4 | Acernese, F. (Virgo Collaboration), Advanced Virgo Baseline Design, VIR-027A-09, (Virgo,
Cascina, 2009). Related online version (cited on 22 September 2009): ![]() |
![]() |
5 | Advanced LIGO Reference Design, LIGO M060056-08-M, (LIGO, Pasadena, CA, 2007). Related
online version (cited on 20 September 2009): ![]() |
![]() |
6 | Bayer-Helms, F., “Coupling coefficients of an incident wave and the modes of spherical optical
resonator in the case of mismatching and misalignment”, Appl. Optics, 23, 1369–1380, (1984).
[![]() |
![]() |
7 | Beijersbergen, M.W., Allen, L., van der Veen, H.E.L.O., and Woerdman, J.P., “Astigmatic
laser mode converters and transfer of orbital angular momentum”, Opt. Commun., 96, 123–132,
(1993). [![]() |
![]() |
8 | Boyd, R.W., “Intuitive explanation of the phase anomaly of focused light beams”, J. Opt. Soc. Am., 70(7), 877–880, (1980). |
![]() |
9 | Braginsky, V.B., Gorodetsky, M.L., Khalili, F.Y., and Thorne, K.S., “Energetic quantum limit
in large-scale interferometers”, in Meshkov, S., ed., Gravitational Waves: Third Edoardo Amaldi
Conference, Pasadena, California, 12 – 16 July, 1999, AIP Conference Proceedings, vol. 523, pp.
180–190, (American Institute of Physics, Melville, NY, 2000). [![]() ![]() ![]() |
![]() |
10 | Caves, C.M., “Quantum-mechanical noise in an interferometer”, Phys. Rev. D, 23, 1693–1708,
(1981). [![]() |
![]() |
11 | Chelkowski, S., Squeezed Light and Laser Interferometric Gravitational Wave Detectors, Ph.D.
Thesis, (Universität Hannover, Hannover, 2007). Related online version (cited on 28 September
2009): ![]() |
![]() |
12 | Chelkowski, S., Hild, S., and Freise, A., “Prospects of higher-order Laguerre-Gauss modes
in future gravitational wave detectors”, Phys. Rev. D, 79, 122002, 1–11, (2009). [![]() ![]() |
![]() |
13 | Davis, T.A., Direct Methods for Sparse Linear Systems, Fundamentals of Algorithms, vol. 2,
(SIAM, Philadelphia, 2006). Related online version (cited on 28 September 2009): ![]() |
![]() |
14 | Drever, R.W.P., Hall, J.L., Kowalski, F.V., Hough, J., Ford, G.M., Munley, A.J., and Ward, H.,
“Laser phase and frequency stabilization using an optical resonator”, Appl. Phys. B, 31, 97–105,
(1983). [![]() |
![]() |
15 | Drever, R.W.P., Hough, J., Munley, A.J., Lee, S.-A., Spero, R.E., Whitcomb, S.E., Ward, H., Ford, G.M., Hereld, M., Robertson, N.A., Kerr, I., Pugh, J.R., Newton, G.P., Meers, B.J., Brooks III, E.D., and Gürsel, Y., “Gravitational wave detectors using laser interferometers and optical cavities: Ideas, principles and prospects”, in Meystre, P., and Scully, M.O., eds., Quantum Optics, Experimental Gravity, and Measurement Theory, Proceedings of the NATO Advanced Study Institute, held August 16 – 29, 1981 in Bad Windsheim, Germany, NATO ASI Series B, vol. 94, pp. 503–514, (Plenum Press, New York, 1983). |
![]() |
16 | Fabry, C., and Pérot, A., “Théorie et applications d’une nouvelle méthode de spectroscopie interférentielle”, Ann. Chim. Phys., 16, 115–144, (1899). |
![]() |
17 | Fattaccioli, D., Boulharts, A., Brillet, A., and Man, C.N., “Sensitivity of multipass and
Fabry-Perot delay lines to small misalignments”, J. Optics (Paris), 17(3), 115–127, (1986).
[![]() |
![]() |
18 | Forward, R.L., “Wideband laser-interferometer gravitational-radiation experiment”, Phys. Rev.
D, 17, 379–390, (1978). [![]() |
![]() |
19 | Freise, A., “FINESSE: An Interferometer Simulation”, personal homepage, Andreas Freise. URL
(cited on 16 January 2010): ![]() |
![]() |
20 | Freise, A., The Next Generation of Interferometry: Multi-Frequency Optical Modelling, Control
Concepts and Implementation, Ph.D. Thesis, (Universität Hannover, Hannover, 2003). Related
online version (cited on 28 September 2009): ![]() |
![]() |
21 | Freise, A., Bunkowski, A., and Schnabel, R., “Phase and alignment noise in grating
interferometers”, New J. Phys., 9, 433, (2007). [![]() ![]() ![]() |
![]() |
22 | Freise, A., Heinzel, G., Lück, H., Schilling, R., Willke, B., and Danzmann, K.,
“Frequency-domain interferometer simulation with higher-order spatial modes”, Class. Quantum
Grav., 21(5), S1067–S1074, (2004). [![]() ![]() |
![]() |
23 | Fritschel, P., “Second generation instruments for the Laser Interferometer Gravitational Wave
Observatory (LIGO)”, in Cruise, M., and Saulson, P., eds., Gravitational-Wave Detection,
Waikoloa, HI, USA, 23 August 2002, Proc. SPIE, vol. 4856, pp. 282–291, (SPIE, Bellingham,
WA, 2003). [![]() ![]() |
![]() |
24 | Giovannetti, V., Lloyd, S., and Maccone, L., “Quantum-Enhanced Measurements:
Beating the Standard Quantum Limit”, Science, 306, 1330–1336, (2004). [![]() ![]() ![]() |
![]() |
25 | Gouy, L.G., “Sur la propagation anomale des ondes”, C. R. Acad. Sci., 111, 33, (1890). |
![]() |
26 | Gouy, L.G., “Sur une propriété nouvelle des ondes lumineuses”, C. R. Acad. Sci., 110, 1251, (1890). |
![]() |
27 | Gradshteyn, I.S., and Ryzhik, I.M., Tables of Integrals, Series, and Products, (Academic Press, San Diego; London, 1994), 5th edition. |
![]() |
28 | Hecht, E., Optics, (Addison-Wesley, Reading, MA, 2002), 4th edition. |
![]() |
29 | Heinzel, G., Advanced optical techniques for laser-interferometric gravitational-wave detectors,
Ph.D. Thesis, (Universität Hannover, Hannover, 1999). Related online version (cited on 28
September 2009): ![]() |
![]() |
30 | Heinzel, G., Strain, K. A., Mizuno, J., Skeldon, K. D., Willke, B., Winkler, W., Schilling, R.,
Rüdiger, A., and Danzmann, K., “Experimental Demonstration of a Suspended Dual Recycling
Interferometer for Gravitational Wave Detection”, Phys. Rev. Lett., 81, 5493–5496, (1998).
[![]() |
![]() |
31 | Herriott, D., Kogelnik, H., and Kompfner, R., “Off-Axis Paths in Spherical Mirror
Interferometers”, Appl. Optics, 3, 523–526, (1964). [![]() ![]() |
![]() |
32 | Jaekel, M.T., and Reynaud, S., “Quantum Limits in Interferometric Measurements”, Europhys.
Lett., 13, 301–306, (1990). [![]() ![]() |
![]() |
33 | Kenyon, I.R., The Light Fantastic: A Modern Introduction to Classical and Quantum Optics,
(Oxford University Press, Oxford; New York, 2008). [![]() |
![]() |
34 | Kogelnik, H., “On the Propagation of Gaussian Beams of Light Through Lenslike Media
Including those with a Loss or Gain Variation”, Appl. Optics, 4(12), 1562–1569, (1965). [![]() |
![]() |
35 | Kogelnik, H., and Li, T., “Laser Beams and Resonators”, Proc. IEEE, 54, 1312–1329, (1966). |
![]() |
36 | Kuroda, K. (LCGT Collaboration), “The status of LCGT”, Class. Quantum Grav., 23(8),
S215–S221, (2006). [![]() |
![]() |
37 | Lax, M., Louisell, W.H., and McKnight, W.B., “From Maxwell to paraxial wave optics”, Phys.
Rev. A, 11, 1365–1370, (1975). [![]() |
![]() |
38 | Loudon, R., and Knight, P.L., “Squeezed Light”, J. Mod. Opt., 34, 709–759, (1987). [![]() ![]() |
![]() |
39 | Malec, M., Commissioning of advanced, dual-recycled gravitational-wave detectors: simulations
of complex optical systems guided by the phasor picture, Ph.D. Thesis, (Universität Hannover,
Hannover, 2006). Related online version (cited on 28 September 2009): ![]() |
![]() |
40 | Matuschek, N., Kartner, F.X., and Keller, U., “Exact coupled-mode theories for multilayer
interference coatings with arbitrary strong index modulations”, IEEE J. Quantum Electron.,
33, 295–302, (1997). [![]() |
![]() |
41 | Meers, B.J., “Recycling in laser-interferometric gravitational-wave detectors”, Phys. Rev. D, 38,
2317–2326, (1988). [![]() |
![]() |
42 | Michelson, A.A., and Morley, E.W., “On the Relative Motion of the Earth and the Luminiferous
Ether”, Am. J. Sci., 34, 333–345, (1887). Related online version (cited on 20 September 2009):
![]() |
![]() |
43 | Mizuno, J., and Yamaguchi, I., “Method for analyzing multiple-mirror coupled optical systems”,
J. Opt. Soc. Am. A, 16, 1730–1739, (1999). [![]() |
![]() |
44 | Morrison, E., Meers, B.J., Robertson, D.I., and Ward, H., “Automatic alignment of optical
interferometers”, Appl. Optics, 33, 5041–5049, (1994). [![]() |
![]() |
45 | Newport Catalogue, (Newport Corporation, Irvine, CA, 2008). Related online version (cited on
20 September 2009): ![]() |
![]() |
46 | Rigrod, W.W., “The optical ring resonator”, Bell Syst. Tech. J., 44, 907–916, (1965). |
![]() |
47 | Rowan, S., and Hough, J, “Gravitational Wave Detection by Interferometry (Ground and
Space)”, Living Rev. Relativity, 3, lrr-2000-3, (2000). URL (cited on 20 September 2009): http://www.livingreviews.org/lrr-2000-3. |
![]() |
48 | Rüdiger, A., “Phase relationship at a symmetric beamsplitter”, unknown status, (1998). |
![]() |
49 | Saulson, P.R., Fundamentals of Interferometric Gravitational Wave Detectors, (World Scientific, Singapore; River Edge, NJ, 1994). |
![]() |
50 | Siegman, A.E., Lasers, (University Science Books, Sausalito, CA, 1986). [![]() |
![]() |
51 | Siegman, A.E., “Laser Beams and Resonators: Beyond the 1960s”, IEEE J. Select. Topics
Quantum Electron., 6, 1389–1399, (2000). [![]() ![]() |
![]() |
52 | Siegman, A.E., “Laser Beams and Resonators: The 1960s”, IEEE J. Select. Topics Quantum
Electron., 6, 1380–1388, (2000). [![]() ![]() |
![]() |
53 | Vahlbruch, H., Chelkowski, S., Danzmann, K., and Schnabel, R., “Quantum engineering of
squeezed states for quantum communication and metrology”, New J. Phys., 9(10), 371, (2007).
[![]() ![]() ![]() |
![]() |
54 | Vinet, J.-Y., “On Special Optical Modes and Thermal Issues in Advanced Gravitational Wave
Interferometric Detectors”, Living Rev. Relativity, 12, lrr-2009-5, (2009). URL (cited on 20
September 2009): http://www.livingreviews.org/lrr-2009-5. |
![]() |
55 | Vinet, J.-Y. (Virgo Collaboration), The Virgo Physics Book, Vol. II: Optics and Related Topics,
(Virgo, Cascina, 2001). URL (cited on 20 September 2009): ![]() |
![]() |
56 | “Virgo”, project homepage, Virgo Collaboration. URL (cited on 19 September 2009): ![]() |
![]() |
57 | Winkler, W., Danzmann, K., Grote, H., Hewitson, M., Hild, S., Hough, J., Lück, H., Malec,
M., Freise, A., Mossavi, K., Rowan, S., Rüdiger, A., Schilling, R., Smith, J.R., Strain, K.A.,
Ward, H., and Willke, B., “The GEO 600 core optics”, Opt. Commun., 280, 492–499, (2007).
[![]() |
![]() |
58 | Yariv, A., Quantum Electronics, (J. Wiley & Sons, New York, 1989), 3rd edition. |
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