Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal
Surface polaritons in a semi-infinite insulator in a constant magnetic field at the boundary with an ideal metal or a superconductor have been considered. These polaritons are induced by dynamic magnetoelectric interaction, which exists in any insulator in the presence of a magnetic field. The modes...
Збережено в:
| Опубліковано в: : | Физика низких температур |
|---|---|
| Дата: | 1999 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
1999
|
| Теми: | |
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/139059 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal / I.E. Chupis, D.A. Mamaluy // Физика низких температур. — 1999. — Т. 25, № 10. — С. 1112-1115. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860005389983023104 |
|---|---|
| author | Chupis, I.E. Mamaluy, D.A. |
| author_facet | Chupis, I.E. Mamaluy, D.A. |
| citation_txt | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal / I.E. Chupis, D.A. Mamaluy // Физика низких температур. — 1999. — Т. 25, № 10. — С. 1112-1115. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | Surface polaritons in a semi-infinite insulator in a constant magnetic field at the boundary with an ideal metal or a superconductor have been considered. These polaritons are induced by dynamic magnetoelectric interaction, which exists in any insulator in the presence of a magnetic field. The modes of these surface polaritons differ appreciably in opposite directions of the magnetic field or the propagation of the wave. As a result polaritons of the given optical or IR frequency propagate only in one direction, which is the effect of rectification of surface electromagnetic waves. The inversion of the magnetic field results in "switching on" or "switching off" of surface polaritons.
|
| first_indexed | 2025-12-07T16:38:32Z |
| format | Article |
| fulltext |
��� �������
�� ��������
����������������������� "!�!#!$��%#&�'#()�� +*, "-)����&� � � �'�.$ � � /( 021 3�4 5 687 9 :�9 ;�< =?>?;�@A;�B 3 C�DA9 EF9 G�H�I J 5 K 5 I ; J 5 L <?L K 6�3 M K ; I H?4 L�B ; M 5 J L�< 6A5 <8; <A5 < 6 3 B ;�J L�M�5 <2;�@N; O�<�H J 5 INK 5 H B =N;�J J 1 HP L�3�< = ;�M C2QA5 J 18;�@�H�J ;�B 0F1 3�4 5 6A7 9 :�9 ; < =?>?; @N; B 3 C�DA9 EF9 GRH�I J 5 K 5 I ;�J 5 L <?L K 6 3 M K ;�I H�4 L�B ;�M 5 J L�< 685 <2;�<A5 < 6 3 B ;�J L�M�5 <2;?@A;�O�<�H J 5 IAK 5 H B =N; J J 1 H P L 3�< = ;�M C2QA5 J 18;�@SH J ;�B
TVU�W�WXU"Y[Z\WX]^WX_`U
a
bdc[W�]�Y
egfihkj�l2m"l?hon�j�lAprqsp�mutwv\xymzn\h{f}|ip�~�n^x�lAjzprqit�lSq�n�q�l�qVt�v
~?n�j�prx�l�q�n
� n��uq�fVj�lAh�m�l?fu~A��n�j�j"�wf��Vp^v�qi��n^xy����l2j��sn � fijznr~
�A���������d�)�d� �\���` ¢¡i�#£i�$¤u��¥r�+¦��#§
¨ª©�«#¬®?¯X°2±$²�±�³®´F°N´�µ/´�¬�¶�·�¹¸�·�º\»¼¬®½ª¾y¬�N¿z´�µyN¬�ÀªÁÃÂX³Ä°RÅ?³ª¿�±ÇÆÉȹ±�Êz°F±Ã¬®¬®?°F±�ÊyË�Ìd¿z´2°�·X±Ç¿yÍ[Î�ÅS¿ÇÆ�¬®½ªÂÏ·�¶ªÐ¼Å®°�¬�±ÃÅS¬?³�·S¶�ѹ¯XN¿y°2±Ç¬ÒzÓ`¸�¬�±X°R±�Î`ÔǬ�©Õ˼Ö�×�ؼ×�ÙÇÒÇË�ÚÛÁ[¿X�¯Ç·XÔÇËÛѹ¯XN¿y°R±Ç¬Ü�ÝRÞ`ßÇà�á?âyÞ)ß�Þ`ßXáÕãXäÇå�à�á�æ�ç è�éyß�êAèyëÇì�ç ãyß
í�îSï®î®à ì[îSð�ñÉß�äóòÇòXô�ò?õXõÇõ
ö�ãzêS÷2ßÇïÇîdøzë�á2ßÇêÄàÕæ�ëXùzú�à�ùûßÉú�î�Þdà�ÝAàRùü÷Nà�ùzàRæAîÏà�ùzú?ã�áRßÇæ�ëXê�à�ùýß+ï�ë[ùzú�æAß[ùyæþÞ$ß�ÿ�ù�î�æ?à�ï+÷AàÕîÃáRðûßÇæ)æ?ézî��zëXãzùzð�ßXêNä��ÛàÕæ�ékß�ù
à�ðzî�ßÃáýÞ$î®æ?ßÃáýë[ê
ßrú?ã�øzî®êSï®ë[ùzðzãyïÇæAë�êiézßÇì�î��zî�î®ù ï®ë�ùyúSàRðyîÇê?î®ð�ç���é�î�ú?î\øzëyáRßXêSà�æ?ëXùzú�ß�êSî�à�ùzðzãzï®î�ð���ä ð�äyùzßÇÞdàRï
ÞþßÇÿyù�îÇæAë�î�áRî®ïÇæAê®àÕïÛàRù�æ�î�êSßÇï®æSà�ëXù�ô��)éüàRï®éÉî
�àÕú�æ?ú�à�ùÉßXùXä�àRù�ú�ã�áRßXæNëyê�àÕùÏæ?ézî`øzê?îÇú�î�ùzï®î)ëz÷�ßþÞ$ßXÿXùzî®æSà�ï�÷Aà�îXáRð�ç���ézîþÞþëXðzî�ú
ëy÷ýæ?ézî®ú?î\ú�ãzêS÷2ßXï�î\øzëyá2ßÇêSà�æ?ëXùzúið�àR÷A÷2îÇêißÇøzøzê?î®ïXà�ß���áÕä àÕù ëXøzøzëXúSà�æ?î\ð�à�ê?îÇï®æSà�ëXùzú�ëy÷ýæ�ézî,ÞþßÇÿyùzî�æÄàÕïu÷Aà�îXáRð ëXêiæ?ézî
øyêSë[øzß�ÿ�ßÇæÄàÕëXùýëy÷�æAézî
�)ß�ì�îzç��#úþßÏê?î®ú?ã�áRæþøzëyáRßÇê®à�æ?ëXùzú)ëü÷¹æ�ézî+ÿzà�ì�î®ùkëyø�æÄàÕïÇßÃá¹ëXê��?íu÷8ê�î���ãzî®ùzïSäýøyêSëXøzßÇÿ�ßÇæ�î�ëyùzáRäoà�ù
ëXùzîþð�àÕêSî®ï®æSà�ë[ù�ô��`é�àÕï®éûàRú�æ?ézîþîX÷A÷2î�ï®æ�ëz÷�ê?î�ï�æÄàR÷Aà�ï�ßXæ�àRëXù�ëy÷¹ú�ã�ê®÷2ßÇï®î�î�áRî®ïÇæAêSë[ÞþßÇÿyùzî�æÄàÕï��)ßXìyî�ú�ç���é�î àÕùzìyî�êSúÄàÕëXù�ëü÷�æ?ézî
ÞþßÇÿyù�îÇæ�àRïd÷AàRî�áRð�êSî®ú?ã�áRæ�ú)à�ù��Xú��þà�æ?ï®é�àÕùzÿÏëXù��+ë�ê��Xú��ÛàRæAïÇézàRùyÿ�ëy÷A÷�� ëz÷�ú?ãzêÄ÷2ßÇïÇîþøzëyá8ß�êSà�æ?ëXùzúÇç
������ö�â������! #"��%$'&�ô)(�*�ç +#,¼ç -��
.�/�021%3)46587)093;:<0>=?4A@�/�0CB�D9E'3�0#@�18:C4F1G0�5IHJ=)3J@�/�0CKL7NM64FD<:#0
O =;5ID�M�18@6=?3PKC183QB�0<@RD�5%K2D�3'HQKF0�BJ18:#=�3'HS7):#@6=)M
K21%K�@R/�0�K67)T'UV 0#:<@
=?4�DXWY18H;0ZM�D�3�EP0C=�4�@�/�0<=SML0#@�18:�D�5[D�3)H\0#] O 0�M
1%BX0�3�@RD�5K
@67'HP1!0�K�^`_aK�18BY1�5%D�Mb1c3)d�0�K
@�1eEND<@R18=�3f=)4g183'KL7h5%D<@
=�MRKi/'D�K
D�5%KF=jT;0#0�3kKF@�DlML@
0�Hgmon�po^hq
3rBX0#@�D�5IK�D�3'HrK609BX18:#=)3)H;7):<@
=�MRK
O =;5ID�M�18@6=?3PKYD�MF0r:#=)3)K�1%HS09M60�HbDlKJDQMF0�K
7[5s@J=)4�183)@609M6D�:<@R1G=)3=S4t0l580<:#@�M
=�BYDoE'3;0#@�18:gWYD<d�0�KrWY18@�/u4FM60<0g0l580#:<@RML=)3)Kr=?4\D
:9M6v)K6@RD�5�w O 5%DlK6B�=�3 O =)5%D�MR1I@
=?3PK�x�^�qL3y@R/�0 O MF0�K6093S:#0k=)4JDBYDoEN3S0#@�18:j4F180�5IHQ@�/�09K60 O =P5%D�M
18@6=)3)K�D�MF0�:�D�5�5809HQBYDoE'3;0#@6=?U
O 5%D�K
BX=)3 O =;5ID�M
18@6=?3PKzw#KF0<0){C4�=�Mj0<]|D�B O 580;{C}~094o^>�Px�^2q
31%3'KL7|5%D�@
=�M�K
@R/S0`183;@
0�M
D�:<@R1G=)3r=�4~= O @R1G:9DS5 O /;=?3;=?3PK
WY1G@�/kDBYDoEN3S0#@�18:Y4F180�5IH�:9D�3rTP0YH;09KL:9M�1GTP09HrT;v�H;vS3PD�BJ1!:�B�D9E;3S09U
@
=�0l580<:#@�M
18:\093�0�MLE)v�m��|po{�WY/)1I:9/Q@�D��)0�K�183)@6=�D<:<:#=�7'3�@X@R/�0
0l580#:<@RM6=�3�D�3PHj1I=?3\:#=�3)@�M
18T;7'@�1!=)3)K~@6=Y@�/�020l580<:#@�MR1G: O =P5%D�MR18U
� D<@R18=)3A^q�@�1%K�W�0�5�5��;3)=�WY3�@R/;D<@�1%3�@R/S0 O M609KL093;:<0�=?4�D
BYDoEN3S0#@�18:�4F180l5%H�@�/)0 O =;5ID�M�18@6=?3\K O 0#:<@RM67'B�1%K�3;=?3PMF0<:�1 O M6=?U:9DS5
{�1F^�0;^�{
ω(− � ) ≠ ω(� )
Ẑ.�/�0�3)=�3'ML0#:�1 O M6=�:918@6v�1c3�@R/�0
O =;5ID�M�18@6=?3kK O 0<:#@�MF7|B�1%K�D�W�0�D��r0�4F4�0#:<@�̂
qF3�@R/)1cK O D O 0�M�W20�K�/�=�W�KF@�M6=?3SEy3�=)3)M60<:91 O MF=�:91I@
vb=�4K
7PMR4FD<:<0 O =)5%D�MR1I@
=?3PK�183gDrKF0�BY1cU�183P4F1%3)18@60j1%3)K67|5%D<@
=)M�D<@�18@RKT'=�7'3'H;DlMFviW�18@R/�D�3�1%H�0�D�5CB20<@RDS5�=�M�DkK67 O 0�M6:#=�3'H�7;:#@6=SM1%3�@R/S0 O M609KL093;:<0k=?4JDgB�D<E'3�0<@R1I:�4F180�5IHÂ
.�/;0�B2=)H�0�K�=�4
O =;5ID�M�18@6=?3PK O MF= O DoE'D�@�1s3SE�1%3z= OPO =?K�18@60̀ H)1cM
0<:<@R1G=)3)K�09K6K
0�3)U@R1%D�5�5sv�H;1%4F4�09M�̂��l7'M�4FD<:<0 O =)5%D�M�18@
=�3'KrWJ18@R/�DgE'18d�0�3�4FML09U
� 7)0�3�:<v O ML= O DoEND<@
02=�3|58vj1%3�=)3�0�HP18M
0<:<@R18=�3�WY18@�/jM60�K O 0<:#@@
=�@R/S0ZBJDoEN3�0<@R1I:Z4F1I0l5%HA�'MF0<:#@�1%4F18:�D<@R18=�3\=?4�KL7NM64FD<:#0 O =P5%D�MR18U
@
=)3)K�̂j.�/�0�1c3)d�0�MRK618=?3�=)4Q@R/�0�W�D�d?0�d)0<:#@6=?M � → − �:<=SM6M609K O =)3)H'K�@
=\@R/)D�@
=S4�@R/;0YBJDoE'3)0<@R18:J4F180l5%H�h0<@
7|K
:<=?3PK
1%H;09M�DJ7'3)1%D<]|1%D�5�1c3'KL7|5ID�@
=�M2w��̀ 1%K�D�3r0�D�K
v
D<]|1%K�x�{�D�58@R/;=l7�EN/�@R/;0kMF0�K
7[5s@�K�=�T)@�D�1%3)0�HbD�M60\=S4CES0�3�0�M�D�5
1%B O =?M6@�D�3):<0)̂��0YKF@�DlMF@
WJ18@R/r@�/�0YH;093;KR1I@
vj=)4~183'KL7h5%D<@
=�M
0�3�09MLE)vg�
7'K60�Hg0�D�M�5%180�MY4�=�MJ@R/�0k1%3Sd)09KL@R1GE'D<@�18=)3g=?4XKF7|M
4FD<:<0 O ='5%D�M
1cU@
=)3)K�1%3kD�3k1c3)K67|5ID<@6=)M>1%3kD�3�0l580#:<@RM618:�4F1!0�5%HgmF�'p9�
�
=
� ò� ~¡+ +
¢#£
¤ ( ~¥+ + � + ) + Π
+
�
ρ
− ¦#§ + ξ̈�© ΠΠ × ª p2{w�n9x
WY/�0�M60 § 1%K�@�/�0�0�580#:<@RM�1G: O ='5%D�M�1 � D<@R18=)3A« ΠΠ
18Kj@�/�0gB�=�U
BX093�@67NB H�093PK
1I@
vA« ª = ª , + ¬ «bD�3)H ¦ D�3)H ¬ DlML0
D�58@
0�MR3;D�@R183SE�0�580#:<@RM�18:�D�3'H�BJDoE'3)0<@R18:�4F1G0l5%H'K9^Z.�/;0b7'3)1cU
4�=)M
Bf0<])@609M�3)D�5�BJDoE'3)0<@R1I:Z4F1I0l5%H ª , 18K�1sB O =)KF0�Hk183r@�/�02HP1sM60<:#@�18=?3®^|q�3zw�nlx
W�0�HP1%K
M60oE;D�M�Ht@R/;0ZK O D<@�1%D�5hH'1cK O 0�M�K
18=)3=)4\@R/;0b0�5s0<:#@�M�1!: O =P5%D�M
1 � D<@R18=�3�^�.�/;0¯5%D�K6@k@
0�M�B°1%3±w�n9x
:<=SM6M609K O =)3)H'Kz@
=²@R/;0�H;vS3;DlB�18:�BYDoE|3�0#@6=�0l580#:<@RM618:b0�3;09M6UE)vbm��|p�^h.�/)1%K�1%K�@R/�0J093;0�M�E)vk=?4~@�/)0�183)@609M6D�:<@R1G=)3 § WY1I@R/D�3�094F4�0<:<@R18d�0�0l580<:#@�MR1G:¯4F180�5IHf³ î®÷ = −
n
´ ¢ m�µ × ªr¶ O M
=PUH;7):#0�HzT)vk@R/S0jB�=�@R18=�3k=)4~:�/'D�MLE)0`·JWJ18@R/zd�0l58=�:918@6v µ 1%3
D�BJDoEN3�0<@R18:�4F180�5IHQw � 1%K�@R/�0�K O 0#0�Hr=)4�5I1GE'/;@#x�^��)183;:#0J@R/S0BX=?BX093;@
7'B
ΠΠ = ¸�¹ ´2º , { ξ =
º>»6´ ¸ � D�3'H�@�/�0g:<=S3;UK6@RD�3�@
ρ
1%3��)1%3�0<@R1I:¼0�3;09M�ESv
Π
+ ´ �
ρ
18K
ρ = ¸
½ º , {WY/�0�M60 ¸ 1%K®@R/;0CBJD�KRK®=S4A@�/)0�:9/)D�M�E)0�D�3)HQº , 1%K�@R/�027'3;18@:<0l5�5�d�=P587'B�0;^
¾ ¿!ÀoÁlÀRÂPÃ�Ä<ÅlÆ Ç|È�É�Ê�Ë|ÀFÌ|À�Í�È�Î�È�Ï ÄoÐlÑ�Ò�Ó�Ó�Ó
qF3\E)093;09M6D�56{'@R/;0�0�5s0<:<@RM
1I: O =;5ID�M�1 � D�@R1G=)3 § :#=)3)K�18K6@RK
=�418=)3�Dl3)H�0�5s0<:#@�MF=)3 O D�M6@RK<^rq
3f@R/;0�qR}aMF0oE'18=)3f=)4Q@R/�0
K O 0#:<@RM67'B @�/�0¯:<=)3�@RM�18T)7;@R18=�3f=?4Q18=)3)Kg@6=�@R/;0uB�D9E;3S09U
@
=�0l580<:#@�M
18:¯0�3;09M�ESv�18K O MF0<d'D�5s0�3;@�«�@R/;093 ¸ 1%KQ@R/;0u1G=)3
BYD�K�KrDl3)H
ΠΠ
1sK�@R/�0b18=�3�B2=)B�0�3�@67'Br^�qF3¯@�/)0g= O @R1I:9D�5M
0oE'18=?3Q=�4
@�/)0jK O 0<:#@�MF7'B @�/)0J0�5s0<:#@�M6=?3Q:<=?3;@RM
1IT)7)@R1I=S3z@
=
@R/;0 O =P5ID�M�1 � D<@R1I=S3�1%KkM6D�@�/�09Mz18=?3P1G:b:<=?3;@RM
1IT)7)@R1I=S3�{ ¸ 1%K
@R/;0�0l580<:#@�M
=�3kBJD�KRK
D�3)H
ΠΠ
1%K
@�/)0�0�580#:<@RM6=?3zB�=�B�0�3)@67'B�^
.�/;0jH;vS3;DlB�18:jBJDoEN3�0<@
=�0�5s0<:<@RM
1I:�093;09M�E)v�m�@R/S0r5ID�KF@2@
0�M�B
1%3�� � ^|w�nlx<p�1%K~DYKL:9DS5ID�M9«'@R/S09M60�4�=?M60){'18@
1%K O ML09K60�3�@
1%3\@R/�0093;09M�E'vj=)4~Dl3�vr:�MFv'KL@RD�56^
.�/�0J5%1%3)0�D�M
MF0�K O =?3PKF0X=?4�D�3j1%3PKF7|5%D�@6=?M
1%3t@R/;0�4F1!0�5%Hj=�4Dl3r0�5s0<:<@RMF=)BJDoE'3)0<@R1G:JWYD<d)0Y1%3�@R/;0YD<TNKL093;:<0�=)4�HPD�B O 1%3�E:9D�3�T)02=lTP@RD�1c3�09H\1%3�@�/�0�K
D�B202WYD<vjD�K�1c3r}�0�4o^S�[^|q�3�=�7'M
:9D�KF0Q@R/;0�:<=)B O =�3)0�3�@�Kj=�4�@�/�0 HP180�5s0<:<@RM
1I:�:<=)3)K6@RD�3�@ ε °R¯DlMF0
ε ò = ε¥<¥ =
n
+
�
πω
__ ,+ (ω ¬
+
− � +�� ,+ − ω
+
)
(ω
+
− ω ò
+
)(ω
+
− ω ++ )
{
ε+ = εÂX =
n
+
�
πω
__ ,+
ω ,+ − ω
+ {
w#�Px
ε′ = � ε� � =
(ε¡#¥ )∗ =
�
πω� � , ω__ ,+
(ω
+
− ω ò
+
)(ω
+
− ω ++ )
{
ε = ε��� =
(ω
+
− Ω ò
+
)(ω
+
− Ω +
£
)
(ω
+
− ω ò
+
)(ω
+
− ω ++ )
^
Y0�MF0
ω òXô ++ =
�
�
ω ,+ + ω ¬
£
+
��� £�� ,+ +−
+− √(ω ,
£
− ω �+ )
£
+
� � + � ,+ (ω,+ + ω ¬
+
)
{
Ω òXô ++ =
n
�
ω ,+ + Ω �+ +
� � +�� ,+ ± w��|x
± √(ω ,
£
− Ω¬
+
)
+
+ ��� +
�
,+ (ω »+ + Ω �+ )
{
� =
·
¸ �
{
ω
__ ,+ =
� +
¸ º ,
{
ω , = ω
__ » √� £ { ω ¬ = ω
__ » √��� {
Ω ¬
+
= ω ¬
£
+ � πω
__,+ ^
.�/;0�4FMF0 � 7P093S:#v ω ¬ 1cKb@�/�0�0<]):91I@RD<@R1I=S3 4FMF0 � 7P093S:#v�=�4
0l580#:<@RM�18: O ='5%D�M
1 � D<@R18=�3 § DS5s=�3�E�@R/�0g0�DlKLvuD�]'1cK��P{CD�3PH
ω , 18K�@R/;0�0#];:918@�D<@R18=)3 4FM60 � 7;093;:#v�=S4�@R/�0�@�M�D�3)K6d?0�M�KF0
:#=)B O =?3;093S@RK�=?4 O =P5ID�M61 � D<@�18=?3 ¥ {  1%3J@�/)02D<T'K6093�:<0>=�4D¯BYDoE|3�0#@�18:¯4F1G0l5%H�^��|=SMQD�7'3P1%D<]'1cD�5`:�MFvPKF@RD�5�W�0�/'D<d�0
ω ¬�� ω
» ^JqL3�D¯:<=?3PKF@�D�3)@gBJDoE;3;0<@R1G:¯4F180l5%H�@R/�0�K60¯4FMF0�U
� 7P093S:9180�K ω¬ D�3)H ω , T)0<:#=)BX0 ω ò D�3PH ω + {SMF0�K O 0<:#@�18d�0l58vA^.�/;0�3�=)3)H'1cDoES=)3)D�5k:<=)B O =?3;093�@�K�=?4�@R/;0�H)180�5s0<:<@RM
1I:
:<=S3;K
@�D�3�@RK
ε¥l¡ Dl3)H ε ¡�¥ 1%3�� � ^Aw#�'x�{'WY/P1G:9/z1%3)HP1!:�D�@60�@R/S0O M60�KF0�3):<0j=�4
E)v)M6=l@�M
= O v�{�D�M60 O MF= O =?M6@�18=?3PD�5�@
=k@�/)0j4F1cMRKL@H;0�E'MF0<0J=?4~@R/S0`BJDoE'3)0<@R1G:�4F180l5%HA^
.�/;0JES0<=?BX0<@RM6vkW20�:#=)3)K�18H;09M21%K2K�/�=�W�3g1s3��h1eE�^~n�^N_
K609BX1%U�1c3)4F1%3P1!@60j1%3PKF7|5%D�@6=?M
(
� �"!
)
1%K�183Q:<=?3;@RD<:<@2WZ1I@R/QDl3
1%H�0�D�5rB�0<@RD�5\� �"# ^J_ KL@RD�@�1G:�B�D9E'3�0#@�18:u4F180�5%H ª , 1%KD OPO 5I1I09H¯D�58=)3�Eu@�/�0 D<]N1%K O D�M�D�5�580�5C@6=b@R/;0�1%3;@
0�M
4FD<:<0;^.�/)0XT)=�7'3'H;D�M
vr:<=?3PH)18@�18=?3PK>D<@~�
= # D�M60
$ ¡ =
$ % ¡ {'& ¡ =
& % ¡ { ¦ ´ = ¦% ´ = # { ¬ ´ = ¬ % ´ { w��'x
WY/�0�M60)(�D�3PH"*¼D�ML0b@R/;0bBJDoEN3�0<@R18:�D�3)H�@�/�0b0�5s0<:<@RM
1I:
1%3)H;7):<@R18=�3'K9« ¦ ´ D�3PH ¬ ´ D�M60\@R/;0j@RD�3?E'093S@R1%D�5
4F180l5%H)K�«®D�3PH@R/;0\5s0<@
@609M6K>W�18@�/�DJ@�1�5%H�0`ML094�0�M�@
=rD�B�0<@RD�56^hq
3r@R/;0�:�DlKL0
=)4�DgK67 O 0�M
:<=?3PH�7):<@
=)M $ % ¡ = # ^
��0 D�K�KF7PB�0Q@R/PD<@�BJDoE'U3;0#@�1!: O 0�M�B209D�T'1�5%1G@
vr=)4�D�3k1c3'KL7|5ID�@
=�M>1%K µ =
nl^
.�/;0 KF=P587)@R18=�3 =S4²@R/S0,+bD<])WX0l5�5.-!K�0 � 7'D<@�18=?3PK�4�=)MK67'M
4FD�:#0 O =;5ID�M
18@6=?3PK�@�/'D<@ O M6= O DoE'D<@
0�D�58=?3SEj@R/S0�/�D<]|18K
1%K
¦ { ¬ ∝ 02143 m
( 5 ¥76 − ω 8 ) − 5 , �?p<{ 5 , � # {)�:9 # ^ w<;)x
�0�M
0 5 ,− ò 1%K�@R/�0�H�0 O @R/t=)4 O 093;0#@�M
D<@�18=)3J=S4A@�/�0C4F180�5%H�1%3)@6=D�3k1%3PKF7[5ID�@
=?M�^
=�K
1%3�E>� � K9^�w#�Px�{
w��|x�{®D�3PH�w7;'x�{�W�0j:�D�3gW�M�18@60j@R/S0+bD<]PW20l5�5?-eK�0 � 7'D<@R1I=?3PK>1%3r@�/�0�4�=?M�B
@ Â = −
� 5 ¥
ω
· ¡ { @ Â = − ω� 5 ¥ ε
· ¡ {
5 , − ω
+
� £ ε′
5 ¥
· � = # ^
w<A)xBY3[5sv � ¡ D�3'HDC Â H)1%4F4�0�M
4FM
=�B � 0�MF=r1%3\@R/;0�W�D�d�0)«|1%3\@R/P1%K:�D�K
0\@R/;0�H�0 O @R/Q=)4�@R/;0918M O 093;0<@RM
D�@R1G=)3bD�3)H�@R/;0�H)1cK O 09M6UK�1G=S3zMF0�5ID�@R1G=)3kD�M60
E , = ω
+
� + ε′(ω)E � = ± ω� ε′(ω)
√ε(ω)
{ E ¥ + = ω
+
� + ε(ω)
^ w<F)x
Gª°ÕÊü©�× çP��é�î�à ù�úAãzá�ß�æAëÇêIH��KJ+à�údàÕùoúAîSÞþàÕÝFà ùz÷Fà ùzà æAîÉúAøXßÇïSîLH ¡ M , J�ß�ù[ð
æAé�îdÞ)î�æFßXáNHSñ�Jdà úþà ùûæAé�îdúAø�ß®ï�î���éyîSêNî ¡ O , ç���é�îdÞ)ß®ÿ[ùyîSæ�à ïÏ÷2à î®áÕðP Q à úýà�ù\æAé�îVø�ë�ú?à æ�à ìXîið�à�êAîSïSæ�à ë[ù\ëy÷Éæ2éyî  ß
zà úoà ù\æAé�îVïSëÇùyæNß®ïSæ
øzá�ß®ù�î7RzæAé�îh��ßÇìXî�ìXî�ïSæAëÇê S à ú#ß�áÕë�ù�ÿ�æAéyî ¥ ß6 üà ú®ç
T Æ U
Æ V
ÈXWSÆ U.V�Æ VRÃNY�Z9Î~Å�Z\[!È^]IÄ�[�Ñ9Ò�Ó�Ó<Ó?Ñ`_9À.a�blÑ^W c>Ò.d Ò<Ò�ÒKe
qL3\=�7NM~:�D�KF0�� ¡ =
@ ¡ = # «P@R/�0�M6094�=�M
0;{'D�5�5|@R/;0ZM60�KF7A5s@�K
D�MF0D�5%KF=bd)D�5%1%H�W�/;093i@R/;0�1%3;K
7[5ID<@6=SM�1cK�1%3i:#=)3�@�D�:<@YWY1I@R/�D
K
7 O 09M6:<=?3PH�7P:#@6=?M�^.�D��)1%3?E 1%3;@
= D<:<:#=�7'3S@�@R/�0 3S0#:<09K�K6DlMFv :#=�3'H;18@R18=�3'K
E , � ![{ ε
� # { 0<] O M60�K
K�1G=)3 w �Px�{ D�3PH @�/�0 M�D<@R18=
Ω¬ � ω, {?WJ/'1G:�/j1%K�3PD<@
7PMRD�5|4�=?M�D�7|3)1%D<]|18D�5):�M
v)K6@RD�56{?W20=?T;@RD�1%3f@�/�0 O =)5%DlM618@
=�3�B�=�H)0�K<{JWY/)18:�/�D�MF0�KR/S=?WJ3¼1c3
�[1sE�^��P^��N=�Mk18=�3�0#]P:91I@RD<@R1I=?3PKkw�@�/)0�q6} M
0oE'18=?3�=)4t@R/�0
K O 0#:<@RM67'B\x�@�/�0JE'v)MF=)BJDoE;3;0<@R1G:�M6D<@R18= � � # D�3;H��[1sE�^��:#=)M
M60�K O =?3PH)K2@6=k@R/�0�:�D�K60 � ,I� # ^ �N=�M20�5s0<:#@�MF=)3z0#]P:918U@RD�@�1G=S3;K�w�@�/�0�= O @R18:�D�5�MF0oE'18=)3|x ��� # D�3PH��h1GE�^h�j:<=?M�ML09UK O =S3;H'K2@6=�@�/)0\:9D�K60 � , � # ^�.�/�0r@R/)18:��gK6=)5%1%Hg:<7'MLd)09K1%3 �h1GE�^���D�M60 B�=�H)0�K�=S4 @R/�0 K67'M64FD�:<0 O =)5%DlM618@
=�3'Kw 5 , � # x�^�.�/S0�H'D�K6/)0�H�:<7'M6d�09Ki:<=)M
M609K O =�3'H�@
=���7'3)U
O /�v)K�18:�D�5��r0<]):�18@RD<@�18=?3PK<{hWJ/)18:�/�1%3S:9M60�D�KF0�0<] O =�3)0�3�@�1%D�5�58v1%3'K61%H�0\@R/;0�1%3)K67|5%D<@
=)MJw 5 , � # x�^�_25�5
KF7'M�4FD<:<0 O =P5%D�M�1!@6=)30#]P:91I@RD<@R1I=?3PKYD�M60�M60�D�5
^�.AW2=�5s0�4�@�@�/'18:��bKL=P5I18Hi:#7PMFd)0�KY1c3
�[1sE�^��gD�M60kB2=)H�0�KJ=?42@�/)0 O =P5%D�M
18@6=S3;KJ@R/)D<@�M67'3i@
=Q@R/�05s0�4�@�^�.�/;0�KL7'M�4FD<:#0 O =P5ID�M618@
=)3)K�@R/PD<@�MF7|3�@
=¯@�/)0bM�1GE'/�@/'D<d)0z=?3;0�B2=)H�0gw�@�/'1G:��¯KF=P5%1sHy:#7'M6d�0k=)4 5 ¥ � # x�^�.�/�0K
7;T'K6@R18@67)@R18=�3g=�4 5 ¥ T'v − 5 ¥ 183 �h1GE�^��k:<=?M�ML09K O =)3)HPK2@
=@R/;0Y1%3�d)0�M
K�1G=)3\=S4®@R/;0YB�D<E'3�0<@R1I:Y4F180�5IHA{ � , → −
�
, ^|q
3@R/P1%K~:9D�K602@R/;0YH)D�K�/�0�Hr:<7'MFd;09K
D�M60�@�/�0YBX=?H;09K~=�4�KL7NM64FD<:#0
O =;5ID�M�18@6=?3PKCD�3)HQ@R/S0j@R/;18:9�QK6=)5%1%HQ:<7'M6d?0�K2:<=?M�MF0�K O =)3)HQ@
=
�l7|3 O /;v)KR1G:�D�5���0<]':�1G@RD�@�1G=S3;K�^.�/�0jM�D<@R1I=�=)4�D�B O 5%18@67'H�0�K2=?4�@R/�0�0�5s0<:<@RM�1G:jD�3'HQBYDoE'U3)0<@R18:J4F180l5%H)K�1%3r@R/;0�WYD<d;0Y1%K
· ¡@
=
(ω
+
− ω �+ )(ω + − ω ++ )
(ω
+
− Ω �+ )(ω + − Ω +
£
)
ò��)+
^ w<�Px
��0�K
0<0j4FMF=)B w<�)xX@R/)D<@2@R/S0jBYDoE'3;0#@�1!:j4F1I0l5%H�HS=SBX1%3'D<@609K
1%3 0#]P:�18@RD<@�18=?3PK�3�0�DlMf@�/�0 4FM60 � 7)0�3):�1G09K ω ò Dl3)H
ω +w · ¡ →
! x�^�.�/)0f0�5s0<:#@�M�18:�4F180l5%H H;=?BJ1%3)D�@
0�Ku3;0�D�M�@R/�0
4FM60 � 7)093;:�1!0�K Ω ò D�3PH Ω+ w @ Â →
! x�^
q
3 �h1GE�^!�Q@R/�0Q580#@�U
@
0�M�Kj·;{ ¸ D�3)H�· ¸ H�093;=l@60�@�/)0Q0<]):91I@RD<@R1I=S3y:9/PD�M
D�:#@609M9«
16^�0)^c{ ·�
0�5s0<:<@RM
1I:9D�56{ ¸
B�D9E'3�0#@�18:;{ · ¸
0l580#:<@RM6=�U
BJDoE;3;0<@R18:;^
.�/;0`4FML0 � 7)0�3�:#vQM
D�3SES0rm Ω + { ω £ ¶ 4�=)M�@R/;0 O =;5ID�M�18@6=?3PKM67'3)3P1%3�E @
=°@�/�0 M�1GE'/�@�w\�h1GE�^��Px 1%K d�09M6v K6BYD�5�56{
ω + − Ω + ∼ � + � »
£
ω,−
� ^��)1s3;:<0�@�/)0zE)vSM6=�BYDoEN3S0#@�18: M�D<@�18=
� =
· ´ ¸ � 4�=)M�0�580#:<@RML=S3;K�18K\=?3y@R/;0�=�MRHS09Mt=S4�n # ( D�3PH
ω , ∼ n # ò���� n # ò�� MRD�H���K<{�4�=)M @�/�0 BJDoE'3)0<@R1I: 4F180�5IHPK� , ∼ n # ��� KZw ω+ − Ω£ x21%K�=?3r@�/)0�=)M6H)0�M
=�4Xn # ( � n # * ^�f/�093i@�/)0�BXD<E'3�0<@R18:�4F1I0l5%H � , H�0<:9M60�D�K609K9{�@R/�0Q4FMF0�U� 7P093S:#vkM�D�3�E)0rm Ω + { ω £ ¶ @6093PH)K�@
= � 09ML=A{[D�3)Hz@R/S0`BJDoE'U3P1!@67NHS0 5 , ∝ ε′ ∝
�
, D�5IK6=f@
0�3)HPKi@
= � 09M6=|{�1R^ 0)^�{j@R/S0H;0 O @�/¯=)4 O 093S0#@�MRD<@�18=?3 5 ,− ò @
0�3'H)K\@6=y1c3'4F183P18@
vA^2qL3²@R/S05%1%BY1G@ � , = # {h@R/;0j4FMF0 � 7;093�:<v ω+ = Ω£ D�3'H���7'3 O /)v)K
1cU:�D�5�� O =)5%DlM618@
=�3'KQw�@R/;0bHPD�K
/;09H�:<7'MFd;09Kk183 �h1GE�^C�PxkDlML0M609D�56«h16^ 0;^�{h1%3r@�/)0�D<T'K6093S:#0J=)4�BJDoEN3�0<@R18:�4F1G0l5%Hz@R/�0�M60YDlML0
T)7A5I� O =P5ID�M618@
=)3)K W�18@�/ @
W2=°KFv)BJB�0<@RM618:�0#]):�18@�D<@R18=)3
T'M�D�3;:9/�0�K�w�@R/S0�5s=�W�0�M
D�3'H\@R/S0�7 O)O 09M~:<7'MLd)0�1%3��[1eE�^'�;x�{4�=)M�WJ/)18:�/
ω(− � ) = ω( � )
^®.�/;7'K�{®1%3�@R/;0�D<TPK
0�3�:<0r=?4�D
:<=S3;K
@�D�3�@�BJDoE'3)0<@R1G:�4F180�5IHf=�3|58v�@�/)0²T'7|5%� O =;5ID�M�18@6=?3PK0<]N18K6@�183�@�/�0CKLv'KF@609B�{?W�/P18:9/J:<=?M�ML09K O =)3)HPK�@
=X@R/�02�)3�=�WY3M609KL7|58@RK�mF�Ppo^hqF@>1%K
D�5%KF=\:l580�D�M
4FM
=�Bf@R/;0�5%D�KF@
0 � 7PD<@R18=�3k1%3w<APx2@R/)D<@2W�/;093
ε′ =
!zw � , = # x�{ 5 , B�7'K6@�T)0Y0 � 7'DS5�@6=� 0�MF=A«N16^�0;^�{'@�/)0JH)0 O @R/�=?4 O 0�3)0<@RM6D<@R18=)3 5 ,− ò = ∞
^
_>K�@
=r@�/)0J:#=)3)K6@�D�3�@�BYDoE'3;0#@�1!:j4F1I0l5%Hgw
ε′ ≠
!;x�{[1c3�18@�K
O M60�KF0�3):<0r@R/;0 O ='5%D�M
1I@
=)3)K�D�M60kKF7'M�4FD<:<0 O ='5%D�M�1G@
=)3)K�^�.�/S0H;0 O @�/ =�4�@R/�0�1%M O 0�3)0<@RM6D�@R1G=)3A{ 5 ,− ò ∝
� ,− ò {kH�0#:�M609D�K60�KWY18@�/g1%3�:�M609D�K61%3�EgBYDoEN3S0#@�18:j4F180�5IH®^ �h1GE)7'M60���K�/�=�WYK2@R/S0
4FM60 � 7)093;:<v`H;0 O 093)H;0�3�:#02=�4h@�/)02H)0 O @�/�=?4 O 093S0#@�MRD<@�18=?3t=?4
O =P5%D�MR1G@6=S3;K>1%3;@
=\@R/�0�183'KL7h5%D<@
=�M�^q
3gK67'BJBYD�MLv�{®183g@�/�0 O MF0�K6093S:#0\=S42D\:<=?3PKF@RD�3�@YBJDoE'U3;0#@�1!:j4F1I0l5%Hk@�/�0jKF7|M
4FD<:<0 O =P5%D�M
18@6=S3;K>0<]|1sK6@21%3�D\KF0�BY1cU�1%3;U4F1%3)1I@
0g1s3PKF7A5%D<@
=?M�{�WJ/'1G:�/¯1%Kj1c3�:#=�3)@�D<:#@�WJ18@R/¯D�3²1sH;0�D�5
BX0#@�D�5'=)M�D2K67 O 0�M
:<=?3PH�7P:#@6=?M�^?.�/)02H�0 O @R/t=?4 O 0�3)0<@RM6D<@R18=)3=)4
@�/�091cMC4F1I0l5%H�1c3�@
=k@�/�0j1%3)K67|5%D<@
=)M21%K21%3�d;09M6K
0�58v O MF= O =)M6U@R1I=?3PD�5�@
=r@R/;0`BJDoEN3�0<@R1I:j4F1!0�5%H�^h.�/)0jKL7'M�4FD<:#0jB2=)H�0�K2DlML0
K6@RML=S3?EN58v�3�=)3)M60<:91 O MF=�:�D�5�W�18@�/kM609K O 0<:#@
@6=r@R/�0 O M6= O D9E'D�U@R1I=?3QH'18M60#:<@R1I=?3®{
ω( � ) ≠ ω(− � )
ĥ.�/S0̀ 3;7'BXT)09M�=)4
B�=�H)0�K
4�=)M�WYD<d)0�K O M
= O DoE'D<@�1%3�Eg1%3k= O)O =SK618@
0jH;1%M60#:<@R1G=)3)K�1%K2H)1c4FU
Gª°ÕÊü©�� ç"ñ�ëÇð�îSú�ëX÷�úAã�ê�÷Rß®ï�îþøyëXáÕß®êSà æAëÇùyú®ç��"é�îþæ2ézà ï®èÏúNëÃá2à ðÉï®ãXê?ìXîSú�ïSëÇê Ý
ê�îSúAø�ëÇùyð�æAë+æNéyî�ïSß®úAî~��é�îSêAî P Q
↑↑
 à�ù�æ2éyî�ëÇøyæAàÕïSß�á�êAîSÿyà ëÇù�ßÇùXð�æAë
æAéyî)ï�ß®úAî���é�îSê?î P Q
↑↓
 à ùÉæAé�î®�Níiê?îSÿyà ëÇù�ç���é�î)ðyß�úAéyîSðÉïSãyêNìXî®ú#ß�êAî
úAãyê?÷�ßÇïSî)Þ)ëÇðyîSú#÷RëXê�æNéyî)ëÇøyø[ëXú�à æAî�ðüà ê?îSïSæ�à ëÇùÏëX÷ P Q ç
Gª°ÕÊü© Öü© �"é[î ÷RêAîF��ãyîSù�ï?ä�ð�îSø�îSùyð�îSùyïSîSú�ëy÷�æAéXî�ø�ëÃáÕß®êSà æAëÇù�øyîSù�îSæAêAß�æ�à ëÇù
ð�îSøyæAé[ú�à ùyæAë$æAéyîþà ù�úAãyáRß®æNë�ê�ç
Ò�Ò#Ò�� T�Æ URÆ V�È W)Æ U.V�Æ V�ÃNY<Z�Î~Å�Z [GÈ�]%Ä<[�Ñ<ÒFÓ#Ó�Ó�Ñ _#À.a\b�Ñ�W c2Ò.d
4�09M60�3�@�^��?1c3):<0�@R/;0�B2=)H�09K2D�ML0`3;=l@�:l58=?K60J@
=j0�D<:�/r=l@�/)0�M<{
0#]P:91I@RD<@R1I=?3PK�W�18@�/�@R/;0
E'18d;093\4FMF0 � 7'0�3�:<v O MF= O DoE|D<@
0>=)3P58v1%3k=)3�0jH;1%MF0<:#@�18=)3kW�18@�/�M60�K O 0<:<@C@6=r@R/�0jB�D9E'3�0#@�18:�4F180l5%H®^.�/;0�K
7PM
4FD�:<0J0l580#:<@RML=)BYDoE'3;0#@�1!:JWYD<d)0�K
:�Dl3�@R/;09ML094�=)MF0JT)0
M
0<:<@R1%4F1G0�H 1%3�@�/)0�KLv)K
@609B 7P3)H)0�Mi:#=)3)K�18H;09M6D�@R1G=)3A^�.�/�0
1%3)d�0�M�K
18=�3�=?4X@R/;0�BJDoE;3;0<@R1G:�4F180�5IH²1sKt0 � 7'D�5>@
=g@�/'D<@�=�4@R/;0 O M
= O D<E'D<@�18=?3fH)1%M60<:#@�1G=S3�^X.�/;7'K<{�@�/)0¯183)d�0�M�K
18=)3�=�4
@R/;0¼B�D9E;3S0#@�18:¼4F1G0�5IH M60�KF7A5s@�K¯183 �?K6WY1G@
:�/P1%3�E =?3��f=SM
�?K6WY1G@
:�/P1%3�E�=�4F4 �Q=S4XK
7PM
4FD�:<0 O =P5ID�M618@
=)3)KJWJ1!@�/�D\EN1Gd)0�34FM
0 � 7)0�3;:#vA^ BY3P5svkK67'M64FD�:<0 O =;5ID�M�18@6=?3PK
0<]'1%K6@>1%3r@�/)0 O ML09UK
0�3�:<0Y=�4
DJ:#=�3'KL@RD�3;@>BYDoE|3�0#@�18:Y4F180�5%H�^
��0rWY1%K6/i@
=g@R/PD�3P���\^
q#^ �|=)B�1%3�D�3PH��\^>�[^���7'M
U
3)=�K
=�dk4�=SM�7'K6094�7[5�H'1cKF:<7'K�K
18=)3)K�^
òXç��®ç�Ü#ç;��éyã�øyàÕú�ß®ù�ð��`ç �#ßyç��#á�î
[ß�ù[ðyêAë[ìXßyô�
�© Úþ·�N¬®¿y± À¹Á�ÂX³Ä©�Ð�·�Å®©
��
ô �zòXò�� ��HÇò?õXõ�*\J®ç+�ç��þç#ñVçP��ÿ[êAß®ù�ëÇìyà�ïSéVß�ùyð��+ç���ç#ñûà�á�áÕúIHAî®ðXú�ç J�ô�мµü8¶A¿XÅS¬+À#·�ÍÕ¿y�°��
´�·X±�³ ô���ëÇêAæNéyÝ��)ëXá�á�ßÇùXð�ô���Þ)úAæ2î®êAð�ß®Þ HÇòSõ�*�+�J�ç
��ç��Sç�ܹçl��é�ãXøzà ú®ô�G�¬Ç�N·®¬ÇÍ ¬®ÅÇ´F?°�Å?³
"��zô�ò6(�� H�ò?õXõ�(�JÇç
��ç|�Sç#Ü#çA��éyã�øüà ú�ß®ù�ð���çP�`ç#ñ�ß�Þ`ßÇáRãÇä"ô À¹° ³���½¹¿! ªÁX©¹Èª¯�³N¾/©�»�¬�·�?©Gª°e¡yç#"o üô�* (%$ HÇò�õ[õR*�J'&(
�Ȫ»/Ài¸�¬Ç´N´�¬�8³)"o üô/õ�+�+�HÇò�õ[õR*�J�*�ç
T Æ U
Æ V
ÈXWSÆ U.V�Æ VRÃNY�Z9Î~Å�Z\[!È^]IÄ�[�Ñ9Ò�Ó�Ó<Ó?Ñ`_9À.a�blÑ^W c>Ò.d Ò<Ò�Ò.b
|
| id | nasplib_isofts_kiev_ua-123456789-139059 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T16:38:32Z |
| publishDate | 1999 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Chupis, I.E. Mamaluy, D.A. 2018-06-19T18:54:26Z 2018-06-19T18:54:26Z 1999 Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal / I.E. Chupis, D.A. Mamaluy // Физика низких температур. — 1999. — Т. 25, № 10. — С. 1112-1115. — Бібліогр.: 4 назв. — англ. 0132-6414 https://nasplib.isofts.kiev.ua/handle/123456789/139059 Surface polaritons in a semi-infinite insulator in a constant magnetic field at the boundary with an ideal metal or a superconductor have been considered. These polaritons are induced by dynamic magnetoelectric interaction, which exists in any insulator in the presence of a magnetic field. The modes of these surface polaritons differ appreciably in opposite directions of the magnetic field or the propagation of the wave. As a result polaritons of the given optical or IR frequency propagate only in one direction, which is the effect of rectification of surface electromagnetic waves. The inversion of the magnetic field results in "switching on" or "switching off" of surface polaritons. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Письма pедактоpу Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal Article published earlier |
| spellingShingle | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal Chupis, I.E. Mamaluy, D.A. Письма pедактоpу |
| title | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal |
| title_full | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal |
| title_fullStr | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal |
| title_full_unstemmed | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal |
| title_short | Rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal |
| title_sort | rectification of surface polaritons in an insulator in a magnetic field at the boundary with a metal |
| topic | Письма pедактоpу |
| topic_facet | Письма pедактоpу |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/139059 |
| work_keys_str_mv | AT chupisie rectificationofsurfacepolaritonsinaninsulatorinamagneticfieldattheboundarywithametal AT mamaluyda rectificationofsurfacepolaritonsinaninsulatorinamagneticfieldattheboundarywithametal |