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拟凸函数族上的非线性积分变换的单叶性 被引量:1
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作者 王利梅 《山东大学学报(理学版)》 CAS CSCD 北大核心 2014年第6期64-66,73,共4页
给出了定义在拟凸函数族上的非线性积分变换Jc[f]=∫z0(f'(ξ))cdξ的pre-Schw arzain范数,其中c为任意常数,并根据Becker的单叶性判定定理给出了Jc[f]将拟凸函数f变换成单叶函数的条件。
关键词 拟凸函数 非线性积分变换 单叶性 pre-Schwarzain 范数
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Numerical simulation and validation of ocean waves measured by an Along-Track Interferometric Synthetic Aperture Radar
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作者 张彪 何宜军 Paris W.VACHON 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2008年第1期1-8,共8页
A new nonlinear integral transform of ocean wave spectra into Along-Track Interferometric Synthetic Aperture Radar (ATI-SAR) image spectra is described. ATI-SAR phase image spectra are calculated for various sea sta... A new nonlinear integral transform of ocean wave spectra into Along-Track Interferometric Synthetic Aperture Radar (ATI-SAR) image spectra is described. ATI-SAR phase image spectra are calculated for various sea states and radar configurations based on the nonlinear integral transform. The numerical simulations show that the slant range to velocity ratio (R/V), significant wave height to ocean wavelength ratio (Hi2), the baseline (2B) and incident angle (0) affect ATI-SAR imaging. The ATI-SAR imaging theory is validated by means of Two X-band, HH-polarized ATI-SAR phase images of ocean waves and eight C-band, HH-polarized ATI-SAR phase image spectra of ocean waves. It is shown that ATI-SAR phase image spectra are in agreement with those calculated by forward mapping in situ directional wave spectra collected simultaneously with available ATI-SAR observations. ATI-SAR spectral correlation coefficients between observed and simulated are greater than 0.6 and are not sensitive to the degree of nonlinearity. However, the ATI-SARoPhase image spectral turns towards the range direction, even if the real ocean wave direction is 30. It is also shown that the ATI-SAR imaging mechanism is significantly affected by the degree of velocity bunching nonlinearity, especially for high values of R/V and H/2. 展开更多
关键词 ATI-SAR nonlinear integral transform numerical simulation VALIDATION
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