239:
chip-scale photonic integration. This technology has been applied e.g. to coherent telecommunications, spectroscopy, atomic clocks as well as laser ranging and astrophysical spectrometer calibration. The rather idealized conditions assumed in the formulation of the LLE have been perfectly materialized by the spectacular technological progress in the field of photonics which has led, in particular, to the discovery of KFC.
316:
31:
258:. In the 1990s, his investigations focussed on the quantum aspects of optical patterns and on the spatial aspects of squeezing. These results contributed substantially to the birth of a novel field which has been called quantum imaging, and exploits the quantum nature of light to develop new techniques for imaging and for the elaboration of information in parallel configurations.
302:
Award of the
Optical Society of America in 2007, the Fermi Prize and Medal of the Italian Physical Society in 2008 ], the International Prize Luigi Tartufari of Accademia Nazionale dei Lincei in 2010 . In 2019 he has received the Quantum Electronics Award of IEEE Photonics Society and a Doctorate in Science honoris causa from the University of Strathclyde in Glasgow.
222:
propagation of light and patterns that arise in the longitudinal direction of propagation, travel along the cavity with the velocity of light in the medium and give rise to a sequence of pulses in the output of the cavity. The scenario of longitudinal patterns described by the LLE constitutes a special case of the multimode instability of
202:, Italy, on March 13, 1968. Later he became Research Fellow of Italian Ministry of Public Education and Researcher of Institute of Nuclear Physics at University of Milan. In 1974 he became assistant professor, and in 1980 he was promoted to associate professor in the same university. In 1987 he became full professor at
214:
writing/erasing address pulses in the resonator. Cavity solitons in the planes orthogonal to the direction of propagation of light have been experimentally observed in vertical cavity surface emitting semiconductor lasers by
Stephane Barland, Jorge Tredicce et al and in other systems (see the reviews )
301:
He has received also numerous awards including the Albert A. Michelson Medal in 1987, the Willis E. Lamb Medal for Laser
Science and Quantum Optics in 2002, the Quantum Optics and Electronics Prize of the European Physical Society in 2003, the 18th International Khwarizmi Prize in 2005, the Max Born
238:
activated by a CW laser injected into a high-Q microresonator filled with a Kerr medium. KFC, sometimes associated with Kerr cavity solitons, have a bandwidth that can exceed an octave and repetition rates in the microwave to THz frequencies, which offers substantial potential for miniaturization and
242:
An article of
Lugiato with Claudio Oldano and Lorenzo Narducci generalized the LLE, formulated for a system without population inversion, to the case of a laser near threshold. This equation is tightly linked to very recent experimental observations of frequency combs in quantum cascade lasers near
226:
previously discovered by
Lugiato in collaboration with Rodolfo Bonifacio. The first theoretical prediction of cavity solitons in the LLE was given by Willie Firth, Andrew Scroggie, Mustapha Tlidi, René Lefever, Lugiato et al. The first experimental observation of cavity solitons in the longitudinal
221:
in optical systems. The patterns arise from the interaction of a coherent field, that is injected in the resonator, with a Kerr medium which fills the cavity. The same equation governs two kinds of patterns: stationary patterns that form in the planes orthogonal with respect to the direction of
213:
and instability that arise in nonlinear media contained in optical cavities, and the effects of spontaneous formation of temporal, spatial and spatio-temporal patterns generated by the instability. And he studied extensively also the generation and manipulation of cavity solitons by injection of
261:
On the basis of a quantum formulation of the LLE, Lugiato was the first to predict squeezing in an optical pattern (today one would call it squeezing in KFC) . This effect has been recently demonstrated experimentally by
Alexander Gaeta, Michal Lipson et al and called “squeezing on chip”.
190:(with F. Prati and M. Brambilla). His work has been theoretical but has stimulated a large number of important experiments in the world. It is also characterized by the fact of combining the classical and quantum aspects of optical systems.
665:
Barland, S.; Tredicce, J.R.; Brambilla, M.; Lugialo, L.A.;Balle S.; Giudici, M.; Maggipinto, T.; Spinelli, L.; Tissoni, G.; Knoedl, Th.; Miller, M.; Jaeger, R (2002). "Cavity
Solitons as pixels in semiconductor microcavities".
1119:
Piccardo, M.; Schwartz, B.; Kazakov, D.; Beiser, M.; Opakak, N.; Wang, Y.; Jha, S.; Hillbrand, J.; Tamagnone, M.; Chen, W.; Zhu, A; Columbo, L.; Belyanin, A.; Capasso, F. (2020). "Frequency combs induced by phase turbulence".
1289:
230:
The interest in the LLE increased even further around the end of the first decade of the new century, because it turned out that the longitudinal LLE describes very accurately the phenomenon of Kerr
891:
Leo, F.; Kockaert, P.; Gorza, S.P.; Emplit, P.; Haelterman, M. (2010). "Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer".
990:
Herr, T.; Brasch, V.; Jost, J. D.; Wang, C. Y.; Kondratiev, N. M.; Gorodetsky, M. L.; Kippenberg, T. J. (2014). "Temporal solitons in optical microresonators".
419:
His wife Vilma
Tagliabue and himself have a son Paolo Lugiato, a General Manager who, married with Stefania Neri, has two children, Filippo and Valentina.
929:; Schliesser, A.; Arcizet, O.; Wilken, T.; Holzwarth, R.; Kippenberg, T. J. (2007). "Optical frequency comb generation from a monolithic microresonator".
1397:
717:
279:
250:
On the quantum side, Lugiato's researches have contributed profoundly to the study of non-classical states of the radiation field, in particular
298:. From 1980 to 1990 he was honorary adjunct professor at the Department of Physics and Atmospheric Sciences of Drexel University, Philadelphia.
1364:
227:
direction of propagation, in agreement with the LLE, was obtained in a fiber cavity by
Francois Leo, Stephane Coen, Mark Haelterman et al.
850:
217:
In this framework, most well known is the equation he introduced in 1987 together with Renè Lefever, as a paradigm for spontaneous
1392:
324:
1084:
Lugiato, L. A.; Oldano, C.; Narducci, L.M. (1988). "Cooperative frequency locking and stationary spatial structures in lasers".
472:
387:
359:
583:
649:
526:
499:
406:
366:
1224:
Dutt, A.; Luke, K.; Manipatruni, S.; Gaeta, A. L.; Nussenzveig, P.; Lipson, M. (2015). "On-chip optical squeezing".
1402:
203:
1318:
373:
1330:
183:
85:
355:
814:
Bonifacio, R.; Lugiato, L.A. (1978). "Instabilities for a coherently driven absorber in a ring cavity".
340:
283:
255:
291:
287:
182:). He is best known for his work in theoretical nonlinear and quantum optics, and especially for the
234:(KFC) in microresonators, discovered in 2007 by Tobias Kippenberg and collaborators exploiting the
1181:
Lugiato, L. A.; Castelli, F. (1992). "Quantum noise-reduction in a spatial dissipative structure".
732:
329:
271:
333:
251:
235:
1329:
Ministry of
Science and Technology - Iranian research organization for science and technology -
1387:
171:
711:
206:, in 1990 he moved to the University of Milan and in 1998 to University of Insubria in Como.
1382:
1243:
1190:
1139:
1093:
1056:
1009:
948:
900:
865:
849:
Scroggie, A.J.; Firth, W.J.; Mc Donald, G.S.; Tlidi, M.; Lefever, R.; Lugiato, L.A (1994).
778:
675:
598:
380:
509:
Lugiato, L. A.; Prati, F.; Brambilla, M. (2015). "Chapter 28: The Lugiato Lefever Model".
8:
223:
199:
1247:
1194:
1143:
1097:
1060:
1013:
952:
904:
869:
782:
679:
602:
1294:
1259:
1233:
1163:
1129:
1025:
999:
972:
938:
926:
831:
796:
699:
295:
751:
491:
464:
1206:
1167:
1155:
1029:
964:
877:
835:
800:
691:
645:
614:
522:
495:
468:
275:
218:
1263:
1255:
1251:
1198:
1147:
1101:
1064:
1017:
976:
956:
908:
873:
823:
786:
747:
733:"Fundamentals and applications of spatial dissipative solitons in photonic devices"
703:
683:
637:
606:
514:
487:
460:
441:
244:
1306:
791:
766:
641:
518:
446:
433:
1202:
610:
1342:
343:. Contentious material about living people that is unsourced or poorly sourced
231:
1151:
567:
1376:
1069:
1044:
1021:
912:
186:(LLE,). He has authored more than 340 scientific articles, and the textbook
1353:
1159:
1105:
968:
695:
618:
429:
170:(born December 17, 1944) is an Italian physicist and professor emeritus at
1210:
434:"Feature issue on Theory and Applications of the Lugiato-Lefever equation"
210:
198:
Lugiato received his doctor of Physics degree, summa cum laude, from the
960:
687:
209:
On the classical side, his researches mainly concerned the phenomena of
1297:. Archived from the original on April 6, 2012. Retrieved June 16, 2011.
827:
1045:"Kerr optical frequency combs: theory, applications and perspectives"
1319:
QEOD Prizes-EPS Quantum Electronics Prizes-European Physical Society
1134:
54:
1238:
1004:
943:
482:
Gatti, A.; Brambilla, E.; Lugiato, L. A. (2008). Wolf, E. (ed.).
764:
925:
765:
Kuszelewicz, R.; Barbay, S.; Tissoni, G.; Almuneau, G. (2010).
664:
254:, focussing especially on the cases of optical bistability and
175:
30:
1276:
1307:
The Willis E. Lamb Medal for Laser Science and Quantum Optics
1118:
538:
Divertirsi con la ricerca-Viaggio curioso nell'ottica moderna
432:; DamiĂ , Gomila; Mustapha, Tlidi; Curtis R., Menyuk (eds.).
848:
584:"Spatial Dissipative Structures in Passive Optical Systems"
179:
428:
1290:
Franklin Laureate Database_Albert A. Michelson Laureates
1223:
890:
486:. Progress in Optics. Vol. LI. pp. 251–348.
459:. Progress in Optics. Vol. XXI. pp. 71–216.
1083:
631:
547:
L'uomo e il limite-La sfida che dĂ un senso alla vita
508:
481:
989:
740:Advances in Atomic, Molecular and Optical Physics
730:
280:Istituto Lombardo, Accademia di Scienze e Lettere
193:
1374:
813:
731:Ackemann, Th.; Firth, W.J.; Oppo, G.-L. (2009).
632:Lugiato, L.A.; Prati, F.; Brambilla, M. (2015).
544:
1180:
581:
851:"Pattern formation in a passive Kerr cavity"
716:: CS1 maint: multiple names: authors list (
1354:Enrico Fermi Prize-Italian Physical Society
767:"Editorial on Dissipative Optical Solitons"
113:Quantum Electronics and Optics Prize (2003)
1237:
1133:
1068:
1003:
942:
790:
545:Lugiato, L. A.; Tagliabue, Vilma (2017).
445:
407:Learn how and when to remove this message
1398:Fellows of the American Physical Society
1077:
577:
575:
535:
455:Lugiato, L. A. (1984). Wolf, E. (ed.).
454:
1375:
1358:
1347:
1336:
1323:
1312:
1300:
1282:
1277:Academy of Europe membership directory
1270:
1042:
983:
919:
1217:
1174:
1112:
1036:
807:
625:
582:Lugiato, L. A.; Lefever, R. (1987).
572:
561:
309:
884:
842:
758:
724:
658:
13:
14:
1414:
549:. Franco Angeli editore, Milano.
314:
29:
1393:20th-century Italian physicists
1256:10.1103/PhysRevApplied.3.044005
636:. Cambridge University Press.
513:. Cambridge University Press.
265:
194:Education, career and research
1:
1331:Khwarizmi International Award
752:10.1016/S1049-250X(09)57006-1
492:10.1016/S0079-6638(07)51005-X
465:10.1016/S0079-6638(08)70122-7
422:
243:threshold by Marco Piccardo,
878:10.1016/0960-0779(94)90084-1
858:Chaos, Solitons and Fractals
642:10.1017/CBO9781107477254.032
519:10.1017/CBO9781107477254.032
325:biography of a living person
119:Fermi Prize and Medal (2008)
7:
1203:10.1103/PhysRevLett.68.3284
611:10.1103/PhysRevLett.58.2209
438:European Physical Journal D
345:must be removed immediately
270:Lugiato is a member of the
188:Nonlinear Dynamical Systems
10:
1419:
792:10.1140/epjd/e2010-00167-7
447:10.1140/epjd/e2017-80572-0
284:Optical Society of America
256:second-harmonic generation
1365:Quantum Electronics Award
1152:10.1038/s41586-020-2386-6
634:Nonlinear Optical Systems
540:. Di Renzo Editore, Roma.
511:Nonlinear Optical Systems
292:European Physical Society
288:American Physical Society
161:
141:
133:
126:
110:Willis Lamb Medal ( 2002)
100:
78:
70:
62:
37:
28:
21:
16:Italian physicist (1944-)
1070:10.1515/nanoph-2016-0013
1022:10.1038/nphoton.2013.343
913:10.1038/nphoton.2010.120
816:Lettere al Nuovo Cimento
554:
272:Italian Physical Society
236:whispering-gallery modes
184:Lugiato–Lefever equation
86:Lugiato–Lefever equation
1226:Physical Review Applied
1183:Physical Review Letters
591:Physical Review Letters
536:Lugiato, L. A. (2007).
305:
1403:University of Insubria
1106:10.1364/JOSAB.5.000879
1043:Chembo, Y. K. (2016).
568:Insubria of University
339:Please help by adding
172:University of Insubria
154:University of Insubria
107:Michelson Medal (1987)
334:references or sources
282:, is a Fellow of the
116:Max Born Award (2007)
1248:2015PhRvP...3d4005D
1195:1992PhRvL..68.3284L
1144:2020Natur.582..360P
1098:1988JOSAB...5..879L
1061:2016Nanop...5...13C
1014:2014NaPho...8..145H
961:10.1038/nature06401
953:2007Natur.450.1214D
937:(7173): 1214–1217.
905:2010NaPho...4..471L
870:1994CSF.....4.1323S
783:2010EPJD...59....1K
688:10.1038/nature01049
680:2002Natur.419..699B
603:1987PhRvL..58.2209L
457:Optical Bistability
224:optical bistability
200:University of Milan
148:University of Milan
74:University of Milan
1295:Franklin Institute
1279:, Physics section.
864:(8–9): 1323–1354.
828:10.1007/BF02763162
323:This section of a
296:Franklin Institute
1189:(22): 3284–3286.
1128:(7812): 360–364.
674:(6908): 699–702.
597:(21): 2209–2211.
474:978-0-444-86761-2
417:
416:
409:
391:
276:Academia Europaea
219:pattern formation
204:Turin Polytechnic
165:
164:
151:Turin Polytechnic
128:Scientific career
48:December 17, 1944
1410:
1367:
1362:
1356:
1351:
1345:
1340:
1334:
1327:
1321:
1316:
1310:
1304:
1298:
1292:
1286:
1280:
1274:
1268:
1267:
1241:
1221:
1215:
1214:
1178:
1172:
1171:
1137:
1116:
1110:
1109:
1081:
1075:
1074:
1072:
1040:
1034:
1033:
1007:
992:Nature Photonics
987:
981:
980:
946:
923:
917:
916:
888:
882:
881:
855:
846:
840:
839:
811:
805:
804:
794:
762:
756:
755:
737:
728:
722:
721:
715:
707:
662:
656:
655:
629:
623:
622:
588:
579:
570:
565:
550:
541:
532:
505:
478:
451:
449:
430:Yanne K., Chembo
412:
405:
401:
398:
392:
390:
349:
341:reliable sources
318:
317:
310:
245:Federico Capasso
51:
47:
45:
33:
19:
18:
1418:
1417:
1413:
1412:
1411:
1409:
1408:
1407:
1373:
1372:
1371:
1370:
1363:
1359:
1352:
1348:
1341:
1337:
1328:
1324:
1317:
1313:
1305:
1301:
1288:
1287:
1283:
1275:
1271:
1222:
1218:
1179:
1175:
1117:
1113:
1086:J. Opt. Soc. Am
1082:
1078:
1041:
1037:
988:
984:
924:
920:
889:
885:
853:
847:
843:
822:(15): 510–516.
812:
808:
771:Eur. Phys. J. D
763:
759:
735:
729:
725:
709:
708:
663:
659:
652:
630:
626:
586:
580:
573:
566:
562:
557:
529:
502:
484:Quantum Imaging
475:
425:
413:
402:
396:
393:
356:"Luigi Lugiato"
350:
348:
338:
319:
315:
308:
268:
232:frequency combs
196:
157:
122:
96:
93:Quantum Imaging
90:Cavity solitons
71:Alma mater
58:
52:
49:
43:
41:
24:
17:
12:
11:
5:
1416:
1406:
1405:
1400:
1395:
1390:
1385:
1369:
1368:
1357:
1346:
1343:Max Born Award
1335:
1322:
1311:
1299:
1281:
1269:
1216:
1173:
1111:
1092:(5): 879–888.
1076:
1055:(2): 214–230.
1035:
998:(2): 145–152.
982:
918:
899:(7): 471–476.
893:Nat. Photonics
883:
841:
806:
757:
723:
657:
650:
624:
571:
559:
558:
556:
553:
552:
551:
542:
533:
527:
506:
500:
479:
473:
452:
424:
421:
415:
414:
322:
320:
313:
307:
304:
267:
264:
195:
192:
163:
162:
159:
158:
156:
155:
152:
149:
145:
143:
139:
138:
135:
131:
130:
124:
123:
121:
120:
117:
114:
111:
108:
104:
102:
98:
97:
95:
94:
91:
88:
82:
80:
79:Known for
76:
75:
72:
68:
67:
64:
60:
59:
53:
39:
35:
34:
26:
25:
22:
15:
9:
6:
4:
3:
2:
1415:
1404:
1401:
1399:
1396:
1394:
1391:
1389:
1388:Living people
1386:
1384:
1381:
1380:
1378:
1366:
1361:
1355:
1350:
1344:
1339:
1332:
1326:
1320:
1315:
1308:
1303:
1296:
1291:
1285:
1278:
1273:
1265:
1261:
1257:
1253:
1249:
1245:
1240:
1235:
1232:(4): 044005.
1231:
1227:
1220:
1212:
1208:
1204:
1200:
1196:
1192:
1188:
1184:
1177:
1169:
1165:
1161:
1157:
1153:
1149:
1145:
1141:
1136:
1131:
1127:
1123:
1115:
1107:
1103:
1099:
1095:
1091:
1087:
1080:
1071:
1066:
1062:
1058:
1054:
1050:
1049:Nanophotonics
1046:
1039:
1031:
1027:
1023:
1019:
1015:
1011:
1006:
1001:
997:
993:
986:
978:
974:
970:
966:
962:
958:
954:
950:
945:
940:
936:
932:
928:
922:
914:
910:
906:
902:
898:
894:
887:
879:
875:
871:
867:
863:
859:
852:
845:
837:
833:
829:
825:
821:
817:
810:
802:
798:
793:
788:
784:
780:
776:
772:
768:
761:
753:
749:
745:
741:
734:
727:
719:
713:
705:
701:
697:
693:
689:
685:
681:
677:
673:
669:
661:
653:
651:9781107477254
647:
643:
639:
635:
628:
620:
616:
612:
608:
604:
600:
596:
592:
585:
578:
576:
569:
564:
560:
548:
543:
539:
534:
530:
528:9781107477254
524:
520:
516:
512:
507:
503:
501:9780444532114
497:
493:
489:
485:
480:
476:
470:
466:
462:
458:
453:
448:
443:
439:
435:
431:
427:
426:
420:
411:
408:
400:
389:
386:
382:
379:
375:
372:
368:
365:
361:
358: –
357:
353:
352:Find sources:
346:
342:
336:
335:
331:
326:
321:
312:
311:
303:
299:
297:
293:
289:
285:
281:
277:
273:
263:
259:
257:
253:
248:
246:
240:
237:
233:
228:
225:
220:
215:
212:
207:
205:
201:
191:
189:
185:
181:
177:
173:
169:
168:Luigi Lugiato
160:
153:
150:
147:
146:
144:
140:
136:
132:
129:
125:
118:
115:
112:
109:
106:
105:
103:
99:
92:
89:
87:
84:
83:
81:
77:
73:
69:
65:
61:
56:
50:(age 79)
40:
36:
32:
27:
23:Luigi Lugiato
20:
1360:
1349:
1338:
1325:
1314:
1302:
1284:
1272:
1229:
1225:
1219:
1186:
1182:
1176:
1125:
1121:
1114:
1089:
1085:
1079:
1052:
1048:
1038:
995:
991:
985:
934:
930:
927:Del’Haye, P.
921:
896:
892:
886:
861:
857:
844:
819:
815:
809:
774:
770:
760:
743:
739:
726:
712:cite journal
671:
667:
660:
633:
627:
594:
590:
563:
546:
537:
510:
483:
456:
437:
418:
403:
394:
384:
377:
370:
363:
351:
344:
327:
300:
269:
260:
249:
241:
229:
216:
208:
197:
187:
167:
166:
142:Institutions
127:
1383:1944 births
746:: 323–421.
266:Recognition
211:bistability
63:Nationality
1377:Categories
1135:1906.05078
777:(1): 1–2.
423:References
367:newspapers
44:1944-12-17
1239:1309.6371
1168:219731247
1030:118546909
1005:1211.0733
944:0708.0611
836:120619908
801:123075602
397:July 2023
328:does not
294:, of the
290:, of the
286:, of the
252:squeezing
1333:(KIA)
1264:16013174
1160:32555484
969:18097405
696:12384692
619:10034681
55:Limbiate
1244:Bibcode
1211:1004566
1191:Bibcode
1140:Bibcode
1094:Bibcode
1057:Bibcode
1010:Bibcode
977:4426096
949:Bibcode
901:Bibcode
866:Bibcode
779:Bibcode
704:4404010
676:Bibcode
599:Bibcode
381:scholar
330:include
247:et al.
137:Physics
66:Italian
57:, Italy
1262:
1209:
1166:
1158:
1122:Nature
1028:
975:
967:
931:Nature
834:
799:
702:
694:
668:Nature
648:
617:
525:
498:
471:
383:
376:
369:
362:
354:
176:Varese
134:Fields
101:Awards
1260:S2CID
1234:arXiv
1164:S2CID
1130:arXiv
1026:S2CID
1000:arXiv
973:S2CID
939:arXiv
854:(PDF)
832:S2CID
797:S2CID
736:(PDF)
700:S2CID
587:(PDF)
555:Notes
388:JSTOR
374:books
278:, of
274:, of
1207:PMID
1156:PMID
965:PMID
718:link
692:PMID
646:ISBN
615:PMID
523:ISBN
496:ISBN
469:ISBN
360:news
332:any
306:Life
180:Como
38:Born
1252:doi
1199:doi
1148:doi
1126:582
1102:doi
1065:doi
1018:doi
957:doi
935:450
909:doi
874:doi
824:doi
787:doi
748:doi
684:doi
672:419
638:doi
607:doi
515:doi
488:doi
461:doi
442:doi
1379::
1293:.
1258:.
1250:.
1242:.
1228:.
1205:.
1197:.
1187:68
1185:.
1162:.
1154:.
1146:.
1138:.
1124:.
1100:.
1088:.
1063:.
1051:.
1047:.
1024:.
1016:.
1008:.
994:.
971:.
963:.
955:.
947:.
933:.
907:.
895:.
872:.
860:.
856:.
830:.
820:21
818:.
795:.
785:.
775:59
773:.
769:.
744:57
742:.
738:.
714:}}
710:{{
698:.
690:.
682:.
670:.
644:.
613:.
605:.
595:58
593:.
589:.
574:^
521:.
494:.
467:.
440:.
436:.
46:)
1309:.
1266:.
1254::
1246::
1236::
1230:3
1213:.
1201::
1193::
1170:.
1150::
1142::
1132::
1108:.
1104::
1096::
1090:5
1073:.
1067::
1059::
1053:5
1032:.
1020::
1012::
1002::
996:8
979:.
959::
951::
941::
915:.
911::
903::
897:4
880:.
876::
868::
862:4
838:.
826::
803:.
789::
781::
754:.
750::
720:)
706:.
686::
678::
654:.
640::
621:.
609::
601::
531:.
517::
504:.
490::
477:.
463::
450:.
444::
410:)
404:(
399:)
395:(
385:·
378:·
371:·
364:·
347:.
337:.
178:/
174:(
42:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
