Natural surfaces show scale invariance statistical properties over a wide range of scales, and exhibit power-law spectra over a wide range of spatial frequencies: these properties are well modelled by fractional Brownian motion (fBm) two-dimensional processes. We here present a closed form expression of the correlation coefficient of the fields scattered by a fBm surface and measured at two closely spaced positions. The obtained formulation shows that the correlation coefficient in the near-specular scattering case depends on a parameter that is related to the rms surface slope measured at the electromagnetic wavelength scale: when this parameter decreases, the correlation coefficient smoothly increases from the value obtained by the roughness-independent expression already available in literature to a value close to unity.
Correlation of the Fields Scattered by a Fractal Surface at Two Closely Spaced Receivers / Di Martino, Gerardo; Di Simone, Alessio; Iodice, Antonio. - 2023:(2023), pp. 117-118. (Intervento presentato al convegno 2023 IEEE USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), AP-S/URSI 2023 tenutosi a Portland, Oregon, USA nel 2023) [10.23919/USNC-URSI54200.2023.10289345].
Correlation of the Fields Scattered by a Fractal Surface at Two Closely Spaced Receivers
Di Martino, Gerardo;Di Simone, Alessio;Iodice, Antonio
2023
Abstract
Natural surfaces show scale invariance statistical properties over a wide range of scales, and exhibit power-law spectra over a wide range of spatial frequencies: these properties are well modelled by fractional Brownian motion (fBm) two-dimensional processes. We here present a closed form expression of the correlation coefficient of the fields scattered by a fBm surface and measured at two closely spaced positions. The obtained formulation shows that the correlation coefficient in the near-specular scattering case depends on a parameter that is related to the rms surface slope measured at the electromagnetic wavelength scale: when this parameter decreases, the correlation coefficient smoothly increases from the value obtained by the roughness-independent expression already available in literature to a value close to unity.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.