Complex Transmission Eigenvalues in One Dimension
We consider all of the transmission eigenvalues for one-dimensional media. We give some conditions under which complex eigenvalues exist. In the case when the index of refraction is constant, it is shown that all the transmission eigenvalues are real if and only if the index of refraction is an odd...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/561349 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849306563039199232 |
|---|---|
| author | Yalin Zhang Yanling Wang Guoliang Shi Shizhong Liao |
| author_facet | Yalin Zhang Yanling Wang Guoliang Shi Shizhong Liao |
| author_sort | Yalin Zhang |
| collection | DOAJ |
| description | We consider all of the transmission eigenvalues for one-dimensional media. We give some conditions under which complex eigenvalues exist. In the case when the index of refraction is constant, it is shown that all the transmission eigenvalues are real if and only if the index of refraction is an odd number or reciprocal of an odd number. |
| format | Article |
| id | doaj-art-36d70dcf5540486cbdf914eef5f22f2b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-36d70dcf5540486cbdf914eef5f22f2b2025-08-20T03:55:02ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/561349561349Complex Transmission Eigenvalues in One DimensionYalin Zhang0Yanling Wang1Guoliang Shi2Shizhong Liao3Department of Mathematics, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, Tianjin University, Tianjin 300072, ChinaSchool of Computer Science and Technology, Tianjin University, Tianjin 300072, ChinaWe consider all of the transmission eigenvalues for one-dimensional media. We give some conditions under which complex eigenvalues exist. In the case when the index of refraction is constant, it is shown that all the transmission eigenvalues are real if and only if the index of refraction is an odd number or reciprocal of an odd number.http://dx.doi.org/10.1155/2014/561349 |
| spellingShingle | Yalin Zhang Yanling Wang Guoliang Shi Shizhong Liao Complex Transmission Eigenvalues in One Dimension Abstract and Applied Analysis |
| title | Complex Transmission Eigenvalues in One Dimension |
| title_full | Complex Transmission Eigenvalues in One Dimension |
| title_fullStr | Complex Transmission Eigenvalues in One Dimension |
| title_full_unstemmed | Complex Transmission Eigenvalues in One Dimension |
| title_short | Complex Transmission Eigenvalues in One Dimension |
| title_sort | complex transmission eigenvalues in one dimension |
| url | http://dx.doi.org/10.1155/2014/561349 |
| work_keys_str_mv | AT yalinzhang complextransmissioneigenvaluesinonedimension AT yanlingwang complextransmissioneigenvaluesinonedimension AT guoliangshi complextransmissioneigenvaluesinonedimension AT shizhongliao complextransmissioneigenvaluesinonedimension |