Volume 6, Issue 4
Semiclassical diffractive scattering for transport through open rectangular microstructure

Guo-Peng Zhao, Xiang-Ji Cai, Yan-Hui Zhang, Xiu-Lan Xu & Song Gao

J. At. Mol. Sci., 6 (2015), pp. 225-233.

Published online: 2015-06

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  • Abstract

We study the transport through weakly open rectangular billiards by a new semiclassical approach within the framework of the Fraunhofer diffraction. Based on a Dyson equation for the semiclassical Green's function, the transmission amplitude can be expressed as the sum over all classical trajectories connecting the entrance and the exit leads. We find that the peak positions of the transmission power spectrum not only correspond to classical trajectories but associate with a lot of nonclassical trajectories and the contributions to the power spectrum of the transmission amplitude for the first mode are largely depending on the classical trajectories with small incident angles showing a good agreement with the diffracted angular distribution within the framework of the diffractive scattering effect at the lead openings.

  • Keywords

Semiclassical approach Fraunhofer diffraction transmission amplitude

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yhzhang@sdnu.edu.cn (Yan-Hui Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JAMS-6-225, author = {Zhao , Guo-Peng and Cai , Xiang-Ji and Zhang , Yan-Hui and Xu , Xiu-Lan and Gao , Song }, title = {Semiclassical diffractive scattering for transport through open rectangular microstructure}, journal = {Journal of Atomic and Molecular Sciences}, year = {2015}, volume = {6}, number = {4}, pages = {225--233}, abstract = {We study the transport through weakly open rectangular billiards by a new semiclassical approach within the framework of the Fraunhofer diffraction. Based on a Dyson equation for the semiclassical Green's function, the transmission amplitude can be expressed as the sum over all classical trajectories connecting the entrance and the exit leads. We find that the peak positions of the transmission power spectrum not only correspond to classical trajectories but associate with a lot of nonclassical trajectories and the contributions to the power spectrum of the transmission amplitude for the first mode are largely depending on the classical trajectories with small incident angles showing a good agreement with the diffracted angular distribution within the framework of the diffractive scattering effect at the lead openings.}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.091515.102215a}, url = {http://global-sci.org/intro/article_detail/jams/8269.html} }
TY - JOUR T1 - Semiclassical diffractive scattering for transport through open rectangular microstructure AU - Zhao , Guo-Peng AU - Cai , Xiang-Ji AU - Zhang , Yan-Hui AU - Xu , Xiu-Lan AU - Gao , Song JO - Journal of Atomic and Molecular Sciences VL - 4 SP - 225 EP - 233 PY - 2015 DA - 2015/06 SN - 6 DO - http://dor.org/10.4208/jams.091515.102215a UR - https://global-sci.org/intro/jams/8269.html KW - Semiclassical approach KW - Fraunhofer diffraction KW - transmission amplitude AB - We study the transport through weakly open rectangular billiards by a new semiclassical approach within the framework of the Fraunhofer diffraction. Based on a Dyson equation for the semiclassical Green's function, the transmission amplitude can be expressed as the sum over all classical trajectories connecting the entrance and the exit leads. We find that the peak positions of the transmission power spectrum not only correspond to classical trajectories but associate with a lot of nonclassical trajectories and the contributions to the power spectrum of the transmission amplitude for the first mode are largely depending on the classical trajectories with small incident angles showing a good agreement with the diffracted angular distribution within the framework of the diffractive scattering effect at the lead openings.
Guo-Peng Zhao , Xiang-Ji Cai , Yan-Hui Zhang , Xiu-Lan Xu & Song Gao . (2019). Semiclassical diffractive scattering for transport through open rectangular microstructure. Journal of Atomic and Molecular Sciences. 6 (4). 225-233. doi:10.4208/jams.091515.102215a
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