https://scholars.lib.ntu.edu.tw/handle/123456789/155164
標題: | Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms | 作者: | SOO-CHANG PEI JIAN-JIUN DING |
公開日期: | 2003 | 卷: | 20 | 期: | 3 | 起(迄)頁: | 522-532 | 來源出版物: | Journal of the Optical Society of America A: Optics and Image Science, and Vision | 摘要: | The offset Fourier transform (offset FT), offset fractional Fourier transform (offset FRFT), and offset linear canonical transform (offset LCT) are the space-shifted and frequency-modulated versions of the original transforms. They are more general and flexible than the original ones. We derive the eigenfunctions and the eigenvalues of the offset FT, FRFT, and LCT. We can use their eigenfunctions to analyze the self-imaging phenomena of the optical system with free spaces and the media with the transfer function exp[j(h 2x2 + h1x + h0)] (such as lenses and shifted lenses). Their eigenfunctions are also useful for resonance phenomena analysis, fractal theory development, and phase retrieval. © 2003 Optical Society of America. |
URI: | http://scholars.lib.ntu.edu.tw/handle/123456789/304074 http://ntur.lib.ntu.edu.tw/bitstream/246246/142386/1/10.pdf https://www.scopus.com/inward/record.uri?eid=2-s2.0-0042575188&doi=10.1364%2fJOSAA.20.000522&partnerID=40&md5=7ca89ae00fa6b3f5d77f3827f690a1db |
ISSN: | 10847529 | DOI: | 10.1364/josaa.20.000522 | SDG/關鍵字: | Eigenvalues and eigenfunctions; Fourier transforms; Optical transfer function; Linear canonical transforms (LCT); Optical systems |
顯示於: | 電機工程學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。