Discrete optics in femtosecond-laserwritten photonic structures

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 43, Issue 16, 2010, Pages

  Szameit, Alexander ^a   Nolte, Stefan ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BULK MATERIALS; COUPLED WAVEGUIDES; FABRICATION METHOD; FEMTOSECOND LASER PULSE; FEMTOSECONDS; FUNCTIONALIZED; LIGHT EVOLUTION; MODEL SYSTEM; NOVEL TECHNIQUES; PHOTONIC STRUCTURE; QUANTUM EVOLUTION; QUANTUM MECHANICS; WAVEGUIDE ARRAY;

LIGHT; PULSED LASER APPLICATIONS; QUANTUM THEORY; ULTRAFAST LASERS; WAVEGUIDES;

ULTRASHORT PULSES;

EID: 78049321717     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/43/16/163001     Document Type: Article

References (101)

1. Longhi S 2008 Quantum-optical analogies using photonic structure Laser Photonics Rev. 3 243-261
2. Christodoulides D N, Lederer F and Silberberg Y 2003 Discretizing light behaviour in linear and nonlinear optical waveguide lattices Nature 424 817-823
3. Efremidis N, Hudock J, Christodoulides D, Fleischer J, Cohen O and Segev M 2003 Two-dimensional optical lattice solitons Phys. Rev. Lett. 92 213906
4. Fleischer J, Segev M, Efremidis N and Christodoulides D N 2003 Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices Nature 422 147-150
5. Lederer F, Stegeman G I, Christodoulides D N, Assanto G, Segev M and Silberberg Y 2009 Discrete solitons in optics Phys. Rep. 463 1-126
6. Pertsch T, Peschel U, Lederer F, Burghoff J, Will M, Nolte S and Tuennermann A 2004 Discrete diffraction in two-dimensional arrays of coupled waveguides in silica Opt. Lett. 29 468-470
7. Itoh K, Watanabe W, Nolte S and Schaffer C 2006 Ultrafast processes for bulk modification of transparent materials MRS Bull. 31 620-625
8. Eisenberg H S, Silberberg Y, Morandotti R and Aitchison J S 2000 Diffraction management Phys. Rev. Lett. 85 1863-1866
9. Pertsch T, Zentgraf T, Peschel U, Braeuer A and Lederer F 2002 Anomalous refraction and diffraction in discrete optical systems Phys. Rev. Lett. 88 093901
10. Mandelik D, Eisenberg H S, Silberberg Y, Morandotti R and Aitchison J S 2003 Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons Phys. Rev. Lett. 90 053902
11. Yariv A 1991 Optical Electronics 4th edn (Philadelphia, PA: Saunders)
12. Russel P S J 1986 Optics of Floquet-Bloch waves in dielectric gratings Appl. Phys. B 39 231-246
13. Szameit A, Pertsch T, Dreisow F, Nolte S, Tünnermann A, Peschel U and Lederer F 2007 Light evolution in arbitrary two-dimensional waveguide arrays Phys. Rev. A 75 053814
14. Chan J, Huser T, Risbud S and Krol D 2001 Structural changes in fused silica after exposure to focused femtosecond laser pulses Opt. Lett. 26 1726-1728 (Pubitemid 33693983)
15. Streltsov A and Borelli N 2002 Study of femtosecond-laser-written waveguides in glasses J. Opt. Soc. Am. B 19 2496-2504
16. Miura K, Qui J, Inoue H, Mitsuyu T and Hirao K 1997 Photowritten optical waveguides in various glasses with ultrashort pulse laser Appl. Phys. Lett. 71 3329-3331
17. Nolte S, Will M, Burghoff J and Tünnermann A 2003 Femtosecond waveguide writing a new avenue to three-dimensional integrated optics Appl. Phys. A 77 109-111
18. Itoh K, Watanabe W, Nolte S and Schaffer C B 2006 Ultrafast processes for bulk modification of transparent materials MRS Bull. 31 620-625
19. Gattass R R and Mazur E 2008 Femtosecond laser micromachining in transparent materials Nat. Photonics 2 219-225
20. Della Valle G, Osellame R and Laporta P 2009 Micromachining of photonic devices by femtosecond laser pulses J. Opt. A 11 013001
21. Ams M, Marshall G D, Dekker P, Piper J A and Withford M J 2009 Ultrafast laser written active devices Laser Photonics Rev. 3 535-544
22. Mansour I and Caccavale F 1996 An improved procedure to calculate the refractive index profile from the measured near-field intensity J. Lightwave Technol. 14 423-428
23. Blömer D, Szameit A, Dreisow F, Schreiber T, Nolte S and Tünnermann A 2006 Nonlinear refractive index of fs-laser-written waveguides in fused silica Opt. Express 14 2151-2157
24. Szameit A, Dreisow F, Hartung H, Nolte S and Tünnermann A 2007 Quasi-incoherent propagation in waveguide arrays Appl. Phys. Lett. 90 241113
25. Dreisow F, Heinrich M, Szameit A, Doering S, Nolte S, Tünnermann A, Fahr S and Lederer F 2008 Spectral resolved dynamic localization in curved fs laser written waveguide arrays Opt. Express 14 3474-3483
26. Skuja L, Suzuki T and Tanimura K 1995 Site-selective laser-spectroscopy studies of the intrinsic 1.9-eV luminescence center in glassy SiO2 Phys. Rev. B 52 15208-15216
27. Stevens-Kalceff M, Stesmans A and Wong J 2002 Defects induced in fused silica by high fluence ultraviolet laser pulses at 355 nm Appl. Phys. Lett. 80 758-760
28. Trompeter H, Pertsch T, Lederer F, Michaelis D, Streppel U, Bräuer A and Peschel U 2006 Visual observation of Zener tunneling Phys. Rev. Lett. 96 023901
29. Bloch F 1928 Ü ber die Quantenmechanik der Elektronen in Kristallgittern Z. Phys. 52 555-600
30. Feldmann J, Leo K, Shah J, Miller D, Cunningham J, Meier T, von Plessen G, Schulze A, Thomas P and Schmitt-Rink S 1992 Optical investigation of Bloch oscillations in a semiconductor superlattice Phys. Rev. B 46 7252-7255
31. Nenciu G 1991 Dynamics of band electrons in electric and magnetic fields: rigorous justification of the effective Hamiltonians Rev. Mod. Phys. 63 91-127
32. Lenz G, Talanina I and de Sterke M 1999 Bloch oscillations in an array of curved optical waveguides Phys. Rev. Lett. 83 963-966
33. Longhi S 2005 Self-imaging and modulational instability in an array of periodically curved waveguides Opt. Lett. 30 2137-2139
34. Peschel U, Pertsch T and Lederer F 1998 Optical Bloch oscillations in waveguide arrays Opt. Lett. 23 1701-1703
35. Longhi S 2006 Optical Zener-Bloch oscillations in binary waveguide arrays Europhys. Lett. 76 416-421 (Pubitemid 44758537)
36. Pertsch T, Dannberg P, Elflein W, Braeuer A and Lederer F 1999 Optical Bloch oscillations in temperature tuned waveguide arrays Phys. Rev. Lett. 83 4752-4755
37. Morandotti R, Peschel U, Aitchinson J S, Eisenberg H S and Silberberg Y 1999 Experimental observation of linear and nonlinear optical Bloch oscillations Phys. Rev. Lett. 83 4756-4759
38. Usievich B A, Sychugov V A, Nirligareev J Kh and Golant K M 2004 A circular system of coupled waveguides and an optical analogue of Bloch oscillations Opt. Spectrosc. 97 790-795
39. Chiodo N, Valle G D, Osellame R, Longhi S, Cerullo G, Ramponi R, Laporta P and Morgner U 2006 Imaging of Bloch oscillations in erbium-doped curved waveguide arrays Opt. Lett. 31 1651-1653
40. Dreisow F, Szameit A, Heinrich M, Pertsch T, Nolte S, Tünnermann A and Longhi S 2009 Bloch-Zener oscillations in binary superlattices Phys. Rev. Lett. 102 076802
41. Trompeter H, Pertsch T, Lederer F, Michaelis D, Streppel U, Braeuer A and Peschel U 2006 Visual observation of Zener tunneling Phys. Rev. Lett. 96 023901
42. Zener C 1934 A theory of the electrical breakdown of solid dielectrics Proc. R. Soc. A 145 523-529
43. Dunlap D and Kenkre V 1986 Dynamic localization of a charged particle moving under the influence of an electric field Phys. Rev. B 34 3625-3633
44. Tsu R and Esaki L 1973 Tunneling in a finite superlattice Appl. Phys. Lett. 22 562-564
45. Holthaus M 1992 Collapse of minibands in far-infrared irradiated superlattices Phys. Rev. Lett. 69 351-354
46. Madureira J R, Schulz P A and Maialle M Z 2004 Dynamic localization in finite quantum-dot superlattices: A pure ac field effect Phys. Rev. B 70 033309
47. Longhi S, Marangoni M, Lobino M, Ramponi R, Laporta P, Cianci E and Foglietti V 2006 Observation of dynamic localization in periodically curved waveguide arrays Phys. Rev. Lett. 96 243901
48. Iyer R, Aitchison J, Wan J, Dignam M and de Sterke M 2007 Exact dynamic localization in curved AlGaAs optical waveguide arrays Opt. Exp. 15 3212-3223
49. Szameit A, Pertsch T, Nolte S, Tünnermann A and Lederer F 2008 Long-range interaction in waveguide lattices Phys. Rev. A 77 043804
50. Dreisow F, Szameit A, Heinrich M, Pertsch T, Nolte S and Tünnermann A 2008 Second order coupling in femtosecond laser written waveguide arrays Opt. Lett. 33 2689-2691
51. Patorski K. 1989 The self-imaging phenomenon and its applications Prog. Opt. 27 3-108
52. Soldano L and Pennings E 1995 Optical multi-mode interference devices based on self-imaging: principles and applications J. Lightwave Technol. 13 615-627
53. Hudson D, Shish K, Schibli T, Kutz N, Christodoulides D N, Morandotti R and Cundiff S T 2008 Nonlinear femtosecond pulse reshaping in waveguide arrays Opt. Lett. 33 1440-1442
54. Bryngdahl O 1973 Image formation using self-imaging techniques J. Opt. Soc. Am. 63 416-419
55. Iwanow R, May-Arrioja D A, Christodoulides D N, Stegeman G I, Min Y and Sohler W 2005 Discrete Talbot effect in waveguide arrays Phys. Rev. Lett. 95 053902
56. Garanovich I L, Szameit A, Sukhorukov A A, Pertsch T, Krolikowski W, Nolte S, Neshev D, Tünnermann A and Kivshar Y S 2007 Diffraction control in periodically curved two-dimensional waveguide arrays Opt. Express 15 9737-9747
57. Szameit A, Garanovich I L, Heinrich M, Sukhorukov A A, Dreisow F, Pertsch T, Nolte S, Tünnermann A and Kivshar Y S 2009 Polychromatic dynamic localization in curved photonic lattices Nat. Phys. 5 271-275
58. Longhi S 2009 Polychromatic optical Bloch oscillations Opt. Lett. 34 2174-2176
59. Gordon R 2004 Harmonic oscillation in a spatially finite array waveguide Opt. Lett. 29 2752-2754
60. Longhi S 2008 Image reconstruction in segmented waveguide arrays Opt. Lett. 33 473-475
61. Szameit A, Dreisow F, Heinrich M, Pertsch T, Nolte S, Tünnermann A, Suran E, Louradour F, Barthelemy A and Longhi S 2008 Image reconstruction in segmented femtosecond laser-written waveguide arrays Appl. Phys. Lett. 93 181109
62. Frenkel J and Kontorova T 1939 On the theory of plastic deformation and twimming J. Phys. (USSR) 1 137-149
63. Davydov A 1977 Solitons and energy transfer along protein molecules J. Theor. Biol. 66 379-387
64. Jensen S1982 The nonlinear coherent coupler IEEE J. Quantum Electron. 18 1580-1583
65. Christodoulides D N and Joseph R I 1988 Discrete self-focusing in nonlinear arrays of coupled waveguides Opt. Lett. 13 794-796
66. Eisenberg H S, Silberberg Y, Morandotti R, Boyd A and Aitchison J S 1998 Discrete spatial optical solitons in waveguide arrays Phys. Rev. Lett. 81 3383-3386
67. Lederer F and Silberberg Y 2002 Discrete solitons Opt. Photonics News 13 48-53
68. Milam D 1998 Review and assessment of measured values of the nonlinear refractive index coefficient of fused silica Appl. Opt. 37 546-550
69. Zoubir A, Richardson M, Canioni L, Brocas A and Sarger L 2005 Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication J. Opt. Soc. Am. B 22 2138-2143 (Pubitemid 41709590)
70. Chiao R, Garmire E and Townes C 1964 Self-trapping of optical beams Phys. Rev. Lett. 13 479-482
71. Barthelemy A, Maneuf S and Froehly C 1985 Soliton propagation and self-trapping of laser beams by a Kerr optical nonlinearity Opt. Commun. 55 201-206
72. Fleischer J W, Carmon T, Segev M, Efremidis N K and Christodoulides D N 2003 Observation of discrete solitons in optically induced real time waveguide arrays Phys Rev. Lett. 90 023902
73. Szameit A, Blömer D, Burghoff J, Schreiber T, Pertsch T, Nolte S, Tünnermann A and Lederer F 2005 Discrete nonlinear localization in femtosecond laser written waveguides in fused silica Opt. Express 13 10552-10557
74. Garanovich I L, Sukhorukov A A and Kivshar Y S 2007 Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays Opt. Express 15 9547-9552
75. Szameit A et al 2008 Observation of diffraction-managed discrete solitons in curved waveguide arrays Phys. Rev. A 78 031801
76. Kelley P L 1965 Self-focusing of optical beams Phys. Rev. Lett. 15 1005-1008
77. Fleischer J W, Segev M, Efremidis N K and Christodoulides D N 2003 Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices Nature 422 147-150
78. Fleischer J W, Bartal G, Cohen O, Schwartz T, Manela O, Freedman B, Segev M, Buljan H and Efremidis N K 2005 Spatial photonics in nonlinear waveguide arrays Opt. Express 13 1780-1796
79. Szameit A, Burghoff J, Pertsch T, Nolte S, Tünnermann A and Lederer F 2006 Two-dimensional soliton in cubic fs laser written waveguide arrays in fused silica Opt. Express 14 6055-6062
80. Boardman A D, Bertolotti M and Twardowski T 1989 Nonlinear Waves in Solid State Physics NATO Advanced Study Institutes Vol. 247 (New York: Plenum)
81. S and Kawata 2001 Near-Field Optics and Surface Plasmon Polaritons (Berlin: Springer)
82. Aliev Y M, Schluter H and Shivarova A 2000 Guided-Wave-Produced Plasmas (Berlin: Springer)
83. Biryukov S V, Gulyaev Y V, Krylov V V and Plessky V P 1995 Surface Acoustic Waves in Inhomogeneous Media (Berlin: Springer)
84. Mihalache D, Bertolotti M and Sibilia C 1989 Nonlinear wave propagation in planar structures Prog. Opt. 27 229-313
85. Makris K G, Suntsov S, Christodoulides D N and Stegeman G I 2005 Discrete surface solitons Opt. Lett. 30 2466-2468
86. Suntsov S, Makris K G, Christodoulides D N, Stegeman G I, Hache A, Morandotti R, Yang H, Salamo G and Sorel M 2006 Observation of discrete surface solitons Phys. Rev. Lett. 96 063901
87. Makris K G, Hudock J, Christodoulides D N, Stegeman G I, Manela O and Segev M 2006 Surface lattice solitons Opt. Lett. 31 2774-2776
88. Wang X, Bezryadina A, Chen Z, Makris K G, Christodoulides D N and Stegeman G I 2007 Observation of two-dimensional surface solitons Phys. Rev. Lett. 98 123903
89. Szameit A, Kartashov Y, Dreisow F, Pertsch T, Nolte S, Tünnermann A and Torner L 2007 Observation of two-dimensional surface solitons in asymmetric waveguide arrays Phys. Rev. Lett. 98 173903
90. Molina M I, Vicencio R A and Kivshar Y S 2006 Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays Opt. Lett. 31 1693-1695
91. Suntsov S, Makris K G, Christodoulides D N, Stegeman G I, Morandotti R, Volatier M, Aimez V, Ares R, Rüter C E and Kip D 2007 Optical modes at the interface between two dissimilar discrete meta-materials Opt. Express 15 4663-4670
92. Szameit A, Kartashov Y V, Dreisow F, Heinrich M, Vysloukh V A, Pertsch T, Nolte S, Tünnermann A, Lederer F and Torner L 2008 Observation of two-dimensional lattice interface solitons Opt. Lett. 33 663-665
93. Szameit A, Kartashov Y V, Vysloukh V A, Heinrich M, Dreisow F, Pertsch T, Nolte S, Tünnermann A, Lederer F and Torner L 2008 Angular surface solitons in sectorial hexagonal arrays Opt. Lett. 33 1542-1544
94. Zoubir A, Lopez C, Richardson M and Richardson K 2004 Femtosecond laser fabrication of tubular waveguides in PMMA Opt. Lett. 29 1840-1842
95. Nejadmalayeri A, Herman P, Burghoff J, Will M, Nolte S and Tünnermann A 2005 Inscription of optical waveguides in crystalline silicon by mid-infrared femtosecond laser pulses Opt. Lett. 30 964-966
96. Nandi P, Jose G, Jayakrishnan C, Debbarma S, Chalapathi K, Alti A D K, Dharmadhikari J and MathurD 2006 Femtosecond laser written channel waveguides in tellurite glass Opt. Express 14 12145-12150
97. Hughes M, Yang W and Hewak D 2007 Fabrication and characterization of femtosecond laser written waveguides in chalcogenide glass Appl. Phys. Lett. 90 131113
98. Gui L, Xu B and Chong T C 2004 Microstructure in lithium niobate by use of focused femtosecond laser pulses IEEE Photon. Technol. Lett. 16 1337-1339
99. Burghoff J, Grebing C, Nolte S and Tünnermann A 2006 Efficient frequency doubling in femtosecond laser-written waveguides in lithium niobate Appl. Phys. Lett. 89 081108
100. Heinrich M, Szameit A, Dreisow F, Döring S, Thomas J, Nolte S, Tünnermann A and Ancona A 2008 Discrete diffraction in type-2 LiNbO3 waveguide arrays Appl. Phys. Lett. 93 101111
101. Thomas J, Heinrich M, Burghoff J, Nolte S, Ancona A and Tünnermann A 2007 Femtosecond laser-written quasi-phase-matched waveguides in lithium niobate Appl. Phys. Lett. 91 151108