Polarimetric Passive Remote Sensing of Periodic Surfaces

Veysoglu, M.E.; Yueh, H. A.; Shin, R.T.; Kong, Jin Au

doi:10.1163/156939391x00040

Cited by 72 publications

(27 citation statements)

References 11 publications

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“…Analogously, in view of the assumption k + 2πξ = 0 we obtain Returning to the expression for F ε (ξ) above, observe that, since χ(ρ) = 1 for ρ ≤ r 1 , and χ(ρ) = 0 for ρ ≥ r 2 , the integral in ρ from 0 to ∞ in (25) can be re-expressed in the form…”

Section: Proof Of Fast Convergence Of Smoothly Truncated Lattice Sumsmentioning

confidence: 76%

“…The two-dimensional algorithms (see e.g. [20, Section 3.8.2]) and [25]) can be perfectly adequate, but in the three-dimensional context algorithms for evaluation of quasi-periodic Green functions have remained inefficient. As a significant reference in these regards we mention one of the most advanced hybrid approaches previously put forth for evaluation of periodic Green's functions [17], which is based on use of a combination of spatial and spectral representations as well as Kummer and Shanks transforms.…”

Section: At Wood Configurations the Lattice Summentioning

confidence: 99%

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Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space

et al. 2016

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This work, part I in a two-part series, presents: (i) a simple and highly efficient algorithm for evaluation of quasi-periodic Green functions, as well as (ii) an associated boundary-integral equation method for the numerical solution of problems of scattering of waves by doubly periodic arrays of scatterers in three-dimensional space. Except for certain ‘Wood frequencies’ at which the quasi-periodic Green function ceases to exist, the proposed approach, which is based on smooth windowing functions, gives rise to tapered lattice sums which converge superalgebraically fast to the Green function—that is, faster than any power of the number of terms used. This is in sharp contrast to the extremely slow convergence exhibited by the lattice sums in the absence of smooth windowing. (The Wood-frequency problem is treated in part II.) This paper establishes rigorously the superalgebraic convergence of the windowed lattice sums. A variety of numerical results demonstrate the practical efficiency of the proposed approach.

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Section: Proof Of Fast Convergence Of Smoothly Truncated Lattice Sumsmentioning

confidence: 76%

Section: At Wood Configurations the Lattice Summentioning

confidence: 99%

Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space

et al. 2016

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“…This paper presents theoretical formulations for thermal emission for anisotropic media. The results are important in view of the increasing interest in the passive microwave polarimetry of geophysical media [Tsang, 1991;Veysoglu et al, 1991;Nghiem et al, 1991;Yueh et al, 1992]. Many natural media are anisotropic due to either their intrinsic electrical properties, such as the alignment of spins or orbital angular motions of charges, or due to their microscopic geometries, like the crystal structures or the larger anisotropic geometric structures existing in geophysical media.…”

Section: Introductionmentioning

confidence: 99%

“…(•o): k•-Im.f•,(•0, •o)-• dfli].f•(•o, •i)[2 (9)Note that the first term on the right-hand side corresponds to the extinction cross section of the object which is the result of the optical theorem or the forward scattering theorem[Tsang et al, 1985]. The energy conservation criterion has been applied byVeysoglu [1991] to a half-space anisotropic medium. In this case the second term on the righthand side of (8) should be zero, meaning that the medium becomes opaque; therefore the emissivity for polarization a of the medium becomesea=--=l A•o ---• f dllilf.…”

mentioning

confidence: 99%

Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff's law

Yueh

Kwok

1993

Radio Science

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In this paper the polarimetric emission parameters for anisotropic media are derived using the generalized Kirchhoff's law for media with a uniform temperature and the fluctuation‐dissipation theory for media with a temperature profile. Both finite‐size objects and half‐space media are considered. When the object has a uniform temperature across its body, the Kirchhoff's law, based on the condition of energy conservation in thermal equilibrium is generalized to obtain the emission parameters of an anisotropic medium, which can be interpreted as the absorptivity or the absorption cross section of the complementary object with a permittivity that is the transpose of the original object. When the medium has a nonuniform temperature distribution, the fluctuation‐dissipation theory is applied for deriving the covariances between vector components of the thermal currents and, consequently, the covariances of the polarizations of electric fields radiated by the thermal currents. To verify the formulas derived from the fluctuation‐dissipation theory, we let the temperature of the object be a constant and show that the results reduce to those obtained from the generalized Kirchhoff's law.

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“…The ocean thermal emission strongly depends on the surface roughness. Theoretical models for the polarimetric passive remote sensing of rough surfaces have been developed based on one-dimensional periodic dielectric surfaces [Chuang and Kong, 1982;Veysoglu, 1991], one-dimensional random rough surfaces [Yueh et al, 1994a], and two-dimensional random rough surfaces with a preferred corrugation direction [Yueh et al, 1988]. Theoretical studies have indicated that the Stokes parameters are functions of the azimuth angle between the radiometer observa-estimated the atmospheric influence on sea surface microwave emission by a simple radiative transfer process that treats the overall atmosphere as a uniform attenuative medium.…”

Section: Introductionmentioning

confidence: 99%

Atmospheric effect on microwave polarimetric passive remote sensing of ocean surfaces

Yeang¹,

Yueh²,

Ding³

et al. 1999

Radio Science

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A theoretical emission model of combined ocean surface and atmosphere is presented to predict the microwave emissivity of the ocean. The modeled ocean surface is one‐dimensional with a random rough profile. The electromagnetic scattering from the surface is calculated based on the extended boundary condition method. Realizations of rough surfaces are created using Monte Carlo simulations. The bistatic scattering coefficients are computed from the ensemble average. The millimeter‐wave propagation model is used to evaluate the absorption of microwave radiation at all height levels in the atmosphere. An expression for the observed brightness temperatures is derived by solving the radiative transfer equations. The radiative transfer model results show a good agreement with the measured data from the 1995 NASA Jet Propulsion Laboratory WIND radiometer (WINDRAD) campaign. An approximate model is provided to estimate the atmospheric effect on the ocean brightness temperatures based on the overall atmospheric attenuation. The approximate model also compares well with the WINDRAD data. Further comparisons are made between the approximate formula and the radiative transfer results on the ratio of the third Stokes parameter in the atmosphere to the one in free space by varying the atmospheric conditions, surface roughness, and radiation frequencies. The approximate formula shows its usefulness for the prediction of the ocean brightness temperatures.

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Polarimetric Passive Remote Sensing of Periodic Surfaces

Cited by 72 publications

References 11 publications

Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space

Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space

Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff's law

Atmospheric effect on microwave polarimetric passive remote sensing of ocean surfaces

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