Comparison of the vectorial diffraction theory and Fraunhofer approximation method on diffractive images of Fresnel zone plates

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• 作者：Ting-Hang Pei ; Kuen-Yu Tsai ; Jia-Han Li
• 关键词：Fresnel zone plate ; Vectorial diffraction theory ; Fraunhofer approximation method ; FWHM
• 刊名：Optical and Quantum Electronics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：47
• 期：7
• 页码：1557-1567
• 全文大小：639 KB
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• 作者单位：Ting-Hang Pei (1)
  Kuen-Yu Tsai (1)
  Jia-Han Li (2)
  
  1. Department of Electrical Engineering, National Taiwan University, Taipei, 10617, Taiwan
  2. Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, 10617, Taiwan
  
• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X

文摘

Both the vectorial diffraction theory and the Fraunhofer approximation method are used to calculate diffractive images. In those cases, 13.5 nm light is normally incident on Fresnel zone plates (FPZs) of which the focuses are all 0.3聽mm. By investigating the calculations using the vectorial diffraction theory, the full width at half maximum (FWHM) intensities of the first-order diffraction along \(x\)-axis (\(\phi =0^{\circ }\)) are 17.2 and 8.7聽nm for 2,000-zone and 10,000-zone FZPs, respectively. The comparison between two methods shows that FWHM errors along \(\phi =0^{\circ }\) are 4.2 and 22.3聽%, and along \(\phi =45^{\circ }\) are 3.3 and 33.1聽% for 2,000-zone and 10,000-zone FZPs, respectively. Furthermore, maximum intensity errors are 12.3聽% for the 2,000-zone FZP and 33.5聽% for the 10,000-zone FZP in our study cases.