The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Este artigo trata do espalhamento de uma onda plana TE por uma superfície senoidal apodizada. A análise começa com a solução Floquet estendida, que é uma 'série de Fourier' com 'coeficientes de Fourier' dados por integrais de Fourier de funções de amplitude com banda limitada. Uma equação integral para as funções de amplitude é derivada e resolvida pelo método de pequenas perturbações para obter amplitudes de espalhamento simples e duplo. Então, verifica-se que o formato do feixe gerado pelo espalhamento único é proporcional ao espectro de Fourier da função de apodização, mas aquele gerado pelo espalhamento duplo é proporcional ao espectro da apodização quadrada. Como resultado, o feixe de dispersão único e o feixe de dispersão duplo podem ter padrões de lóbulos laterais diferentes. É demonstrado que os lóbulos laterais são muito reduzidos se a janela de Hanning ou a janela de Hamming for usada como função de apodização.
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Junichi NAKAYAMA, "Wave Scattering from an Apodised Sinusoidal Surface" in IEICE TRANSACTIONS on Electronics,
vol. E83-C, no. 7, pp. 1153-1159, July 2000, doi: .
Abstract: This paper deals with the scattering of a TE plane wave by an apodised sinusoidal surface. The analysis starts with the extended Floquet solution, which is a 'Fourier series' with 'Fourier coefficients' given by band-limited Fourier integrals of amplitude functions. An integral equation for the amplitude functions is derived and solved by the small perturbation method to get single and double scattering amplitudes. Then, it is found that the beam shape generated by the single scattering is proportional to the Fourier spectrum of the apodisation function, but that generated by the double scattering is proportional to the spectrum of the squared apodisation. As a result, the single scattering beam and the double scattering beam may have different sidelobe patterns. It is demonstrated that the sidelobes are much reduced if Hanning window or Hamming window is used as an apodisation function.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e83-c_7_1153/_p
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@ARTICLE{e83-c_7_1153,
author={Junichi NAKAYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Wave Scattering from an Apodised Sinusoidal Surface},
year={2000},
volume={E83-C},
number={7},
pages={1153-1159},
abstract={This paper deals with the scattering of a TE plane wave by an apodised sinusoidal surface. The analysis starts with the extended Floquet solution, which is a 'Fourier series' with 'Fourier coefficients' given by band-limited Fourier integrals of amplitude functions. An integral equation for the amplitude functions is derived and solved by the small perturbation method to get single and double scattering amplitudes. Then, it is found that the beam shape generated by the single scattering is proportional to the Fourier spectrum of the apodisation function, but that generated by the double scattering is proportional to the spectrum of the squared apodisation. As a result, the single scattering beam and the double scattering beam may have different sidelobe patterns. It is demonstrated that the sidelobes are much reduced if Hanning window or Hamming window is used as an apodisation function.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Wave Scattering from an Apodised Sinusoidal Surface
T2 - IEICE TRANSACTIONS on Electronics
SP - 1153
EP - 1159
AU - Junichi NAKAYAMA
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E83-C
IS - 7
JA - IEICE TRANSACTIONS on Electronics
Y1 - July 2000
AB - This paper deals with the scattering of a TE plane wave by an apodised sinusoidal surface. The analysis starts with the extended Floquet solution, which is a 'Fourier series' with 'Fourier coefficients' given by band-limited Fourier integrals of amplitude functions. An integral equation for the amplitude functions is derived and solved by the small perturbation method to get single and double scattering amplitudes. Then, it is found that the beam shape generated by the single scattering is proportional to the Fourier spectrum of the apodisation function, but that generated by the double scattering is proportional to the spectrum of the squared apodisation. As a result, the single scattering beam and the double scattering beam may have different sidelobe patterns. It is demonstrated that the sidelobes are much reduced if Hanning window or Hamming window is used as an apodisation function.
ER -