The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal
Spectral switches have been widely studied, and many related applications and phenomena were proposed or verified. However, the conditions under which spectral switches can be found are not completely specified. In the past, the zero-intensity components or phase singularities are used as the suffic...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2017-12-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814017744068 |
| _version_ | 1828495415443456000 |
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| author | Pin Han Cheng-Mu Tsai Hung-Bin Lee |
| author_facet | Pin Han Cheng-Mu Tsai Hung-Bin Lee |
| author_sort | Pin Han |
| collection | DOAJ |
| description | Spectral switches have been widely studied, and many related applications and phenomena were proposed or verified. However, the conditions under which spectral switches can be found are not completely specified. In the past, the zero-intensity components or phase singularities are used as the sufficient conditions for spectral switches. Some kind of oscillatory behavior in the modifier function is also proposed to be the necessary condition for it. In this work, we suggest that the necessary and sufficient condition can be reduced to a simple condition: a strictly concave modifier with a minimum. An example with this condition is given using the reflectance of aluminum in the visible to near-infrared range. This result clarifies the conditions for spectral switches and helps identifying it under different circumstances in the future. The related spectral shift amplification and polarization–controlled spectral shift effect are also presented. |
| first_indexed | 2024-12-11T12:12:40Z |
| format | Article |
| id | doaj.art-2e69150a32114c03979a518ee5d0f860 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-11T12:12:40Z |
| publishDate | 2017-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-2e69150a32114c03979a518ee5d0f8602022-12-22T01:07:45ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402017-12-01910.1177/1687814017744068The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metalPin Han0Cheng-Mu Tsai1Hung-Bin Lee2Graduate Institute of Precision Engineering, National Chung Hsing University, Taichung, TaiwanGraduate Institute of Precision Engineering, National Chung Hsing University, Taichung, TaiwanDepartment of Materials Science and Engineering, Dayeh University, Changhua, TaiwanSpectral switches have been widely studied, and many related applications and phenomena were proposed or verified. However, the conditions under which spectral switches can be found are not completely specified. In the past, the zero-intensity components or phase singularities are used as the sufficient conditions for spectral switches. Some kind of oscillatory behavior in the modifier function is also proposed to be the necessary condition for it. In this work, we suggest that the necessary and sufficient condition can be reduced to a simple condition: a strictly concave modifier with a minimum. An example with this condition is given using the reflectance of aluminum in the visible to near-infrared range. This result clarifies the conditions for spectral switches and helps identifying it under different circumstances in the future. The related spectral shift amplification and polarization–controlled spectral shift effect are also presented.https://doi.org/10.1177/1687814017744068 |
| spellingShingle | Pin Han Cheng-Mu Tsai Hung-Bin Lee The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal Advances in Mechanical Engineering |
| title | The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal |
| title_full | The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal |
| title_fullStr | The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal |
| title_full_unstemmed | The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal |
| title_short | The proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal |
| title_sort | proposed necessary and sufficient condition for spectral switches with concave reflectance of aluminum metal |
| url | https://doi.org/10.1177/1687814017744068 |
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