Diffraction Management
Abstract
By using the diffraction properties of waveguide arrays, we propose a scheme to produce structures with designed diffraction. We fabricated arrays with reduced, canceled, and even reversed diffraction. Results of experiments with such waveguides are presented and compared with the predictions made by coupled-mode theory.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Periodic modulation of the refractive index strongly changes diffraction, confining light near regions of increased index that act as waveguides.
“This changes strongly when the index of refraction is periodically modulated [8,9] (figure 2(b)).”
From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [8]
Cites
Hasegawa, A., & Tappert, F. D. (1973) · Applied Physics Letters · doi:10.1063/1.1654836 · Cited by 2,983 · see citing works
Kogelnik, H., & Li, T. (1966) · Applied Optics · doi:10.1364/ao.5.001550 · Cited by 2,914 · see citing works
Coupled-mode theory for guided-wave optics
Yariv, A. (1973) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.1973.1077767 · Cited by 2,007 · see citing works
DUNNETT, D. A. (1969) · Nature · doi:10.1038/2241334a0 · Cited by 1,219 · see citing works
Discrete self-focusing in nonlinear arrays of coupled waveguides
Christodoulides, D. N., & Joseph, R. I. (1988) · Optics Letters · doi:10.1364/ol.13.000794 · Cited by 1,170 · see citing works
Hasegawa, A., & Tappert, F. D. (1973) · Applied Physics Letters · doi:10.1063/1.1654847 · Cited by 942 · see citing works
Self-collimating phenomena in photonic crystals
Kosaka, H., Kawashima, T., Tomita, A., Notomi, M., Tamamura, T., Sato, T., & Kawakami, S. (1999) · Applied Physics Letters · doi:10.1063/1.123502 · Cited by 691 · see citing works
Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations
Morandotti, R., Peschel, U., Aitchison, J. S., Eisenberg, H. S., & Silberberg, Y. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4756 · Cited by 626 · see citing works
Self-citationOptical Bloch Oscillations in Temperature Tuned Waveguide Arrays
Pertsch, T., Dannberg, P., Elflein, W., Bräuer, A., & Lederer, F. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4752 · Cited by 587 · see citing works
Dynamics of Discrete Solitons in Optical Waveguide Arrays
Morandotti, R., Peschel, U., Aitchison, J. S., et al. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2726 · Cited by 365 · see citing works
Self-citationAveraged pulse dynamics in a cascaded transmission system with passive dispersion compensation
Gabitov, I. R., & Turitsyn, S. K. (1996) · Optics Letters · doi:10.1364/ol.21.000327 · Cited by 335 · see citing works
Channel optical waveguide directional couplers
Somekh, S., Garmire, E., Yariv, A., Garvin, H. L., & Hunsperger, R. G. (1973) · Applied Physics Letters · doi:10.1063/1.1654468 · Cited by 275 · see citing works
Lin, C., COHEN, L. G., & Kogelnik, H. (1980) · Optics Letters · doi:10.1364/ol.5.000476 · Cited by 188 · see citing works
Optics of Floquet-Bloch waves in dielectric gratings
Russell, P. S. J. (1986) · Applied Physics B · doi:10.1007/bf00697490 · Cited by 137 · see citing works
COHEN, L. G., Lin, C., & French, W. G. (1979) · Electronics Letters · doi:10.1049/el:19790237 · Cited by 133 · see citing works
Pulse spreading in a single-mode fiber due to third-order dispersion
Miyagi, M., & Nishida, S. (1979) · Applied Optics · doi:10.1364/ao.18.000678 · Cited by 123 · see citing works
Knox, F. M., Forysiak, W., & Doran, N. J. (1995) · Journal of Lightwave Technology · doi:10.1109/50.469741 · Cited by 101 · see citing works
Dark solitons in discrete lattices
Kivshar, Y. S., Krolikowski, W. Z., & Chubykalo‐Fesenko, O. (1994) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.50.5020 · Cited by 95 · see citing works
Interference of integrated Floquet-Bloch waves
Russell, P. S. J. (1986) · Physical Review A · doi:10.1103/physreva.33.3232 · Cited by 68 · see citing works
Equivalence of the coupled-mode and Floquet-Bloch formalisms in periodic optical waveguides
Yariv, A., & Gover, A. (1975) · Applied Physics Letters · doi:10.1063/1.88247 · Cited by 27 · see citing works
Light transmission in two-dimensional optical superlattices
Feng, J., & Ming, N.-B. (1989) · Physical Review A · doi:10.1103/physreva.40.7047 · Cited by 17 · see citing works
Coupled wave versus modal theory in uniform dielectric gratings
Russell, P. S. J. (1983) · Optics Communications · doi:10.1016/0030-4018(83)90359-0 · Cited by 14 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Discretizing light behaviour in linear and nonlinear waveguide lattices
Christodoulides, D. N., Lederer, F., & Silberberg, Y. (2003) · Nature · doi:10.1038/nature01936 · Cited by 1,692 · see citing works
Self-citationObservation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices
Fleischer, J. W., Segev, M., Efremidis, N. K., & Christodoulides, D. N. (2003) · Nature · doi:10.1038/nature01452 · Cited by 1,345 · see citing works
Lederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180 · see citing works
Self-citationQuantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 725 · see citing works
Discrete solitons in photorefractive optically induced photonic lattices
Efremidis, N. K., Sears, S., Christodoulides, D. N., Fleischer, J. W., & Segev, M. (2002) · Physical Review E · doi:10.1103/physreve.66.046602 · Cited by 609 · see citing works
Discrete optics in femtosecond-laser-written photonic structures
Szameit, A., & Nolte, S. (2010) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/43/16/163001 · Cited by 610 · see citing works
Observation of Discrete Solitons in Optically Induced Real Time Waveguide Arrays
Fleischer, J. W., Carmon, T., Segev, M., Efremidis, N. K., & Christodoulides, D. N. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.023902 · Cited by 596 · see citing works
Observation of Dynamic Localization in Periodically Curved Waveguide Arrays
Longhi, S., Marangoni, M., Lobino, M., Ramponi, R., Laporta, P., Cianci, E., & Foglietti, V. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.243901 · Cited by 357 · see citing works
Anomalous Refraction and Diffraction in Discrete Optical Systems
Pertsch, T., Zentgraf, T., Peschel, U., Bräuer, A., & Lederer, F. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.093901 · Cited by 323 · see citing works
Szameit, A., Rechtsman, M. C., Bahat-Treidel, O., & Segev, M. (2011) · Physical Review A · doi:10.1103/physreva.84.021806 · Cited by 280 · see citing works
Observation of Discrete Surface Solitons
Suntsov, S., Makris, K. G., Christodoulides, D. N., Stegeman, G. I., Haché, A., Morandotti, R., Yang, H., Salamo, G., & Sorel, M. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.063901 · Cited by 271 · see citing works
Self-citationClassical Simulation of Relativistic<i>Zitterbewegung</i>in Photonic Lattices
Dreisow, F., Heinrich, M., Keil, R., Tünnermann, A., Nolte, S., Longhi, S., & Szameit, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.143902 · Cited by 235 · see citing works
Discrete Talbot Effect in Waveguide Arrays
Iwanow, R., May-Arrioja, D. A., Christodoulides, D. N., Stegeman, G. I., Min, Y., & Sohler, W. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.053902 · Cited by 211 · see citing works
Polychromatic dynamic localization in curved photonic lattices
Szameit, A., Garanovich, I. L., Heinrich, M., Sukhorukov, A. A., Dreisow, F., Pertsch, T., Nolte, S., Tünnermann, A., & Kivshar, Y. S. (2009) · Nature Physics · doi:10.1038/nphys1221 · Cited by 159 · see citing works
Optical diametric drive acceleration through action–reaction symmetry breaking
Wimmer, M., Regensburger, A., Bersch, C., Miri, M.-A., Batz, S., Onishchukov, G., Christodoulides, D. N., & Peschel, U. (2013) · Nature Physics · doi:10.1038/nphys2777 · Cited by 113 · see citing works
Self-imaging and modulational instability in an array of periodically curved waveguides
Longhi, S. (2005) · Optics Letters · doi:10.1364/ol.30.002137 · Cited by 84 · see citing works
Multigap Discrete Vector Solitons
Sukhorukov, A. A., & Kivshar, Y. S. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.113902 · Cited by 82 · see citing works
Diffraction control in periodically curved two-dimensional waveguide arrays
Garanovich, I. L., Szameit, A., Sukhorukov, A. A., Pertsch, T., Krolikowski, W., Nolte, S., Neshev, D., Tuennermann, A., & Kivshar, Y. S. (2007) · Optics Express · doi:10.1364/oe.15.009737 · Cited by 50 · see citing works
Zhang, P., Efremidis, N. K., Miller, A., Hu, Y., & Chen, Z. (2010) · Optics Letters · doi:10.1364/ol.35.003252 · Cited by 43 · see citing works
Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays
Garanovich, I. L., Sukhorukov, A. A., & Kivshar, Y. S. (2007) · Optics Express · doi:10.1364/oe.15.009547 · Cited by 26 · see citing works
Polychromatic optical Bloch oscillations
Longhi, S. (2009) · Optics Letters · doi:10.1364/ol.34.002174 · Cited by 11 · see citing works
- Authors
- Eisenberg, H. S., Silberberg, Y., Morandotti, R., & Aitchison, J. S.
- Affiliations
- Weizmann Institute of Science (IL)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-08-28
- Volume
- 85
- Issue
- 9
- Pages
- 1863-1866
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W4245595881
- Cited by
- 512
- References
- 22
- Citations by year
- 2026: 6 · 2025: 10 · 2024: 14 · 2023: 16 · 2022: 12 · 2021: 11 · 2020: 16 · 2019: 11 · 2018: 14 · 2017: 27 · 2016: 14 · 2015: 23 · 2014: 11 · 2013: 23 · 2012: 25
- FWCI
- 20.75
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Photonic and Optical Devices
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
- Keywords
- diffraction management, waveguide arrays, coupled mode theory, optical waveguides, diffraction control
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review