71:
216:
812:
Ridged mirrors are not yet commercialized, although certain achievements can be mentioned. The reflectivity of a ridged atomic mirror can be orders of magnitude better than that of a flat surface. The use of a ridged mirror as an atomic
649:
828:; however, for light waves, the performance is not better than that of a flat surface. An ellipsoidal ridged mirror is proposed as the focusing element for an atomic optical system with submicrometre resolution (
684:
300:
494:
754:
347:
395:
531:
246:
137:
1196:
782:
714:
451:
421:
272:
125:
802:
559:
579:
1090:
D.Kouznetsov; H. Oberst; K. Shimizu; A. Neumann; Y. Kuznetsova; J.-F. Bisson; K. Ueda; S. R. J. Brueck (2006). "Ridged atomic mirrors and atomic nanoscope".
883:
56:
62:. In order to reduce the mean attraction of particles to the surface and increase the reflectivity, this surface has narrow ridges.
804:. The width of the ridges cannot be smaller than the size of an atom; this sets the limit of performance of the ridged mirrors.
764:
For efficient ridged mirrors, both estimates above should predict high reflectivity. This implies reduction of both, width,
656:
303:
59:
817:
has been demonstrated. In
Shimizu's and Fujita's work, atom holography is achieved via electrodes implanted into SiN
423:
from a flat surface at the normal incidence. Such estimate predicts the enhancement of the reflectivity at the
661:
277:
1147:
989:
456:
1109:
881:
F. Shimizu; J. Fujita (2002). "Giant
Quantum Reflection of Neon Atoms from a Ridged Silicon Surface".
1156:
1101:
1092:
1053:
998:
954:
902:
1114:
719:
562:
309:
128:
44:
352:
131:
attraction of atoms to the surface. Such interpretation leads to the estimate of the reflectivity
1127:
1069:
981:
918:
892:
846:
497:
98:
78:
1042:
D.Kouznetsov; H.Oberst (2005). "Reflection of Waves from a Ridged
Surface and the Zeno Effect".
561:, the ridges just blocks the part of the wavefront. Then, it can be interpreted in terms of the
211:{\displaystyle \displaystyle r\approx r_{0}\!\left({\frac {\ell }{L}}C,\!~K\sin(\theta )\right)}
1172:
1024:
945:
70:
21:
503:
225:
1164:
1119:
1061:
1014:
1006:
962:
910:
851:
829:
48:
767:
16:"Fresnel mirror" redirects here. For the optical mirror technology which is analogous to a
566:
86:
693:
644:{\displaystyle ~\displaystyle r\approx \exp \!\left(-{\sqrt {8\!~K\!~L}}~\theta \right)~}
430:
400:
251:
104:
1160:
1105:
1057:
1002:
958:
937:
906:
1044:
787:
686:
is supposed to be small. This estimate predicts enhancement of the reflectivity at the
544:
1190:
1123:
841:
825:
40:
1131:
1073:
922:
17:
1168:
1010:
861:
856:
570:
966:
1065:
1176:
1028:
814:
897:
1019:
85:
were discussed in the literature. All the estimates explicitly use the
914:
1145:
F.Shimizu; J.Fujita (2002). "Reflection-Type
Hologram for Atoms".
821:
film over an atomic mirror, or maybe as the atomic mirror itself.
52:
980:
H.Oberst; D.Kouznetsov; K.Shimizu; J.Fujita; F. Shimizu (2005).
573:; such interpretation leads to the estimate the reflectivity
69:
397:
is coefficient of reflection of atoms with wavenumber
790:
770:
722:
696:
665:
664:
586:
582:
547:
506:
459:
433:
403:
355:
312:
281:
280:
254:
228:
141:
140:
107:
796:
776:
748:
708:
678:
643:
553:
525:
488:
445:
415:
389:
341:
294:
266:
240:
210:
119:
101:from the surface, reducing the effective constant
617:
610:
596:
466:
180:
158:
982:"Fresnel Diffraction Mirror for an Atomic Wave"
8:
500:for the approximation (fit) of the function
1085:
1083:
89:about wave properties of reflected atoms.
1113:
1018:
896:
789:
769:
729:
721:
695:
663:
605:
581:
546:
514:
505:
474:
458:
432:
402:
363:
354:
328:
311:
279:
253:
227:
164:
152:
139:
106:
884:Journal of the Physical Society of Japan
77:Various estimates for the efficiency of
938:"Scattering of waves at ridged mirrors"
873:
679:{\displaystyle \displaystyle ~\theta ~}
333:
295:{\displaystyle \displaystyle ~\theta ~}
1197:Atomic, molecular, and optical physics
489:{\displaystyle KL\!~\theta ^{2}\ll 1}
66:Reflectivity of ridged atomic mirrors
7:
541:For narrow ridges with large period
93:Scaling of the van der Waals force
14:
824:Ridged mirrors can also reflect
936:D.Kouznetsov; H.Oberst (2005).
808:Applications of ridged mirrors
784:of the ridges and the period,
749:{\displaystyle ~\ell /L\ll 1~}
716:. This estimate requires that
381:
369:
199:
193:
1:
1169:10.1103/PhysRevLett.88.123201
1011:10.1103/PhysRevLett.94.013203
537:Interpretation as Zeno effect
342:{\displaystyle ~K=mV/\hbar ~}
453:; this estimate is valid at
390:{\displaystyle ~r_{0}(C,k)~}
274:is distance between ridges,
1213:
1124:10.1088/0953-4075/39/7/005
967:10.1103/PhysRevA.72.013617
37:Fresnel diffraction mirror
15:
1066:10.1007/s10043-005-0363-9
248:is width of the ridges,
1148:Physical Review Letters
990:Physical Review Letters
526:{\displaystyle ~r_{0}~}
241:{\displaystyle ~\ell ~}
97:The ridges enhance the
798:
778:
750:
710:
680:
645:
555:
527:
490:
447:
417:
391:
343:
296:
268:
242:
212:
121:
74:
799:
779:
777:{\displaystyle \ell }
751:
711:
681:
646:
556:
528:
491:
448:
418:
392:
344:
297:
269:
243:
213:
122:
73:
27:In atomic physics, a
1093:Journal of Physics B
788:
768:
720:
694:
662:
580:
545:
504:
457:
431:
401:
353:
310:
278:
252:
226:
138:
105:
33:ridged atomic mirror
1161:2002PhRvL..88l3201S
1106:2006JPhB...39.1605K
1058:2005OptRv..12..363K
1003:2005PhRvL..94a3203O
959:2005PhRvA..72a3617K
907:2002JPSJ...71....5S
709:{\displaystyle ~L~}
563:Fresnel diffraction
446:{\displaystyle ~L~}
416:{\displaystyle ~k~}
267:{\displaystyle ~L~}
120:{\displaystyle ~C~}
45:specular reflection
43:, designed for the
847:Quantum reflection
794:
774:
746:
706:
676:
675:
641:
640:
551:
523:
498:quantum reflection
486:
443:
413:
387:
349:is wavenumber and
339:
292:
291:
264:
238:
208:
207:
117:
99:quantum reflection
79:quantum reflection
75:
946:Physical Review A
915:10.1143/JPSJ.71.5
797:{\displaystyle L}
760:Fundamental limit
745:
725:
705:
699:
674:
668:
639:
628:
624:
620:
613:
585:
554:{\displaystyle L}
522:
509:
469:
442:
436:
412:
406:
386:
358:
338:
315:
290:
284:
263:
257:
237:
231:
183:
172:
116:
110:
87:de Broglie theory
49:neutral particles
22:Fresnel reflector
1204:
1181:
1180:
1142:
1136:
1135:
1117:
1100:(7): 1605–1623.
1087:
1078:
1077:
1052:(5): 1605–1623.
1039:
1033:
1032:
1022:
986:
977:
971:
970:
942:
933:
927:
926:
900:
878:
852:Atomic nanoscope
830:atomic nanoscope
803:
801:
800:
795:
783:
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752:
747:
743:
733:
723:
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666:
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396:
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368:
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313:
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181:
173:
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156:
126:
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123:
118:
114:
108:
1212:
1211:
1207:
1206:
1205:
1203:
1202:
1201:
1187:
1186:
1185:
1184:
1144:
1143:
1139:
1115:10.1.1.172.7872
1089:
1088:
1081:
1041:
1040:
1036:
984:
979:
978:
974:
940:
935:
934:
930:
898:physics/0111115
880:
879:
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820:
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786:
785:
766:
765:
762:
718:
717:
692:
691:
660:
659:
601:
597:
578:
577:
567:de Broglie wave
543:
542:
539:
510:
502:
501:
470:
455:
454:
429:
428:
399:
398:
359:
351:
350:
308:
307:
276:
275:
250:
249:
224:
223:
163:
159:
148:
136:
135:
103:
102:
95:
68:
60:incidence angle
39:) is a kind of
25:
12:
11:
5:
1210:
1208:
1200:
1199:
1189:
1188:
1183:
1182:
1155:(12): 123201.
1137:
1079:
1045:Optical Review
1034:
972:
928:
872:
871:
869:
866:
865:
864:
859:
854:
849:
844:
837:
834:
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793:
773:
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742:
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732:
728:
702:
671:
653:
652:
635:
631:
623:
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609:
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595:
592:
589:
550:
538:
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517:
513:
485:
482:
477:
473:
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439:
409:
383:
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371:
366:
362:
335:
331:
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321:
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287:
260:
234:
220:
219:
205:
201:
198:
195:
192:
189:
186:
179:
176:
171:
168:
162:
155:
151:
147:
144:
113:
94:
91:
81:of waves from
67:
64:
55:) coming at a
13:
10:
9:
6:
4:
3:
2:
1209:
1198:
1195:
1194:
1192:
1178:
1174:
1170:
1166:
1162:
1158:
1154:
1150:
1149:
1141:
1138:
1133:
1129:
1125:
1121:
1116:
1111:
1107:
1103:
1099:
1095:
1094:
1086:
1084:
1080:
1075:
1071:
1067:
1063:
1059:
1055:
1051:
1047:
1046:
1038:
1035:
1030:
1026:
1021:
1016:
1012:
1008:
1004:
1000:
997:(1): 013203.
996:
992:
991:
983:
976:
973:
968:
964:
960:
956:
953:(1): 013617.
952:
948:
947:
939:
932:
929:
924:
920:
916:
912:
908:
904:
899:
894:
890:
886:
885:
877:
874:
867:
863:
860:
858:
855:
853:
850:
848:
845:
843:
842:Atomic mirror
840:
839:
835:
833:
831:
827:
826:visible light
822:
816:
807:
805:
791:
771:
759:
757:
740:
737:
734:
730:
726:
700:
689:
669:
658:
657:grazing angle
633:
629:
621:
614:
607:
602:
598:
593:
590:
587:
576:
575:
574:
572:
568:
564:
548:
536:
534:
515:
511:
499:
483:
480:
475:
471:
463:
460:
437:
426:
407:
378:
375:
372:
364:
360:
329:
325:
322:
319:
316:
305:
304:grazing angle
285:
258:
232:
203:
196:
190:
187:
184:
177:
174:
169:
166:
160:
153:
149:
145:
142:
134:
133:
132:
130:
129:van der Waals
111:
100:
92:
90:
88:
84:
83:ridged mirror
80:
72:
65:
63:
61:
58:
54:
50:
46:
42:
41:atomic mirror
38:
34:
30:
29:ridged mirror
23:
19:
1152:
1146:
1140:
1097:
1091:
1049:
1043:
1037:
994:
988:
975:
950:
944:
931:
888:
882:
876:
823:
811:
763:
687:
654:
540:
424:
221:
96:
82:
76:
36:
32:
28:
26:
18:Fresnel lens
1020:2241/104208
862:Matter wave
857:Zeno effect
571:Zeno effect
891:(1): 5–8.
868:References
690:of period
655:where the
427:of period
1110:CiteSeerX
772:ℓ
738:≪
727:ℓ
688:reduction
670:θ
630:θ
603:−
591:≈
569:, or the
481:≪
472:θ
334:ℏ
286:θ
233:ℓ
197:θ
191:
167:ℓ
146:≈
1191:Category
1177:11909457
1132:16653364
1074:55565166
1029:15698079
923:19013515
836:See also
815:hologram
425:increase
1157:Bibcode
1102:Bibcode
1054:Bibcode
999:Bibcode
955:Bibcode
903:Bibcode
565:of the
127:of the
57:grazing
1175:
1130:
1112:
1072:
1027:
921:
744:
724:
704:
698:
673:
667:
638:
627:
619:
612:
584:
521:
508:
496:. See
468:
441:
435:
411:
405:
385:
357:
337:
314:
306:, and
289:
283:
262:
256:
236:
230:
222:where
182:
115:
109:
20:, see
1128:S2CID
1070:S2CID
985:(PDF)
941:(PDF)
919:S2CID
893:arXiv
53:atoms
35:, or
1173:PMID
1025:PMID
31:(or
1165:doi
1120:doi
1062:doi
1015:hdl
1007:doi
963:doi
911:doi
832:).
594:exp
302:is
188:sin
47:of
1193::
1171:.
1163:.
1153:88
1151:.
1126:.
1118:.
1108:.
1098:39
1096:.
1082:^
1068:.
1060:.
1050:12
1048:.
1023:.
1013:.
1005:.
995:94
993:.
987:.
961:.
951:72
949:.
943:.
917:.
909:.
901:.
889:71
887:.
756:.
533:.
1179:.
1167::
1159::
1134:.
1122::
1104::
1076:.
1064::
1056::
1031:.
1017::
1009::
1001::
969:.
965::
957::
925:.
913::
905::
895::
819:4
792:L
741:1
735:L
731:/
701:L
651:,
634:)
622:L
615:K
608:8
599:(
588:r
549:L
516:0
512:r
484:1
476:2
464:L
461:K
438:L
408:k
382:)
379:k
376:,
373:C
370:(
365:0
361:r
330:/
326:V
323:m
320:=
317:K
259:L
218:,
204:)
200:)
194:(
185:K
178:,
175:C
170:L
161:(
154:0
150:r
143:r
112:C
51:(
24:.
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