Numerical computations for a one‐dimensional power law phase screen

Rino, C. L.

doi:10.1029/rs015i001p00041

Cited by 35 publications

(22 citation statements)

References 10 publications

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“…Therefore, the possibility of using asymptotic equation (21) is of evident practical interest. Comparison of the numerical results obtained using exact equation (9) and asymptotic equation (21) is shown in Fig. 8 for µ = 5 and β 2 0 ≥ 1.…”

Section: Comparison Of the Asymptotic Estimates With The Results Of Nmentioning

confidence: 95%

“…Among those, papers [9][10][11][12] are rather close to the subject of the present study. In [10], twodimensional scintillation spectra behind an isotropic power-law phase screen were considered.…”

Section: Introductionmentioning

confidence: 81%

“…(9), which led to simple algebraic expressions for twodimensional spectra of the strong scintillations. These expressions validated by the comparison with numerical results allow one to evaluate the spectra in a range which is a few orders of magnitude wider than the applicability range of the conventional approximate description of the scintillation spectrum by the spectrum of the squared coherence function.…”

Section: Discussionmentioning

confidence: 99%

“…(9) and (17) comprise factors that have different dependences on the direction in the plane (k z , k y ). Namely, for η = 1, the ratio in Eq.…”

Section: Equations For the Scintillation Spectra After A Statisticallmentioning

confidence: 99%

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Strong scintillation spectra behind a phase screen containing large-scale anisotropic irregularities

Gurvich

Воробьев

Marakasov

et al. 2007

Radiophys Quantum El

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Using the approximation of an anisotropic statistically-homogeneous phase screen, we consider spectra of strong scintillations. Numerical calculations are made for the model of large-scale anisotropic inhomogeneities typical of the Earth's stratosphere. The spectrum transformation is studied for the transition from weak scintillations to the asymptotic regime of strong scintillations. We show that with increasing level of the scintillations, their spectra rapidly broaden to the region of large wave numbers which exceed both the inverse internal scale of the irregularities and the inverse radius of the Fresnel zone by orders of magnitude. Notable deviations of the two-dimensional spectra from the predictions based on perturbation theory are shown to occur for scintillation variance exceeding 0.1. The obtained two-dimensional spectra of scintillations give a complete picture of the behavior of one-dimensional spectra which can be retrieved from satellite observations made for different angles between the orbit plane and the direction to the source. Vertical and horizontal one-dimensional spectra are studied in detail. Approximate algebraic formulas are derived and their validity is proved by applying them to the calculation of spectra of strong scintillations for a wide (several decades) range of the wave number values.

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Section: Comparison Of the Asymptotic Estimates With The Results Of Nmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 81%

Section: Discussionmentioning

confidence: 99%

“…(9) and (17) comprise factors that have different dependences on the direction in the plane (k z , k y ). Namely, for η = 1, the ratio in Eq.…”

Section: Equations For the Scintillation Spectra After A Statisticallmentioning

confidence: 99%

See 2 more Smart Citations

Strong scintillation spectra behind a phase screen containing large-scale anisotropic irregularities

Gurvich

Воробьев

Marakasov

et al. 2007

Radiophys Quantum El

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“…This is a very conservative estimate because strong scatter effects always act to reduce the weak-scatter S4 value. A detailed treatment of strong-scatter effects is presented in Rino (1979bRino ( , 1980. The weakscatter theory is developed in Rino (1979a), but for convenience the principal formulas are summarized in Section III.…”

mentioning

confidence: 99%

Propagation Modeling and Evaluation of Communication System Performance in Nuclear Environments

Rino¹

1980

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A theory of scintillation for two‐component power law irregularity spectra: Overview and numerical results

Carrano

Rino

2016

Radio Science

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We extend the power law phase screen theory for ionospheric scintillation to account for the case where the refractive index irregularities follow a two-component inverse power law spectrum. The two-component model includes, as special cases, an unmodified power law and a modified power law with spectral break that may assume the role of an outer scale, intermediate break scale, or inner scale. As such, it provides a framework for investigating the effects of a spectral break on the scintillation statistics. Using this spectral model, we solve the fourth moment equation governing intensity variations following propagation through two-dimensional field-aligned irregularities in the ionosphere. A specific normalization is invoked that exploits self-similar properties of the structure to achieve a universal scaling, such that different combinations of perturbation strength, propagation distance, and frequency produce the same results. The numerical algorithm is validated using new theoretical predictions for the behavior of the scintillation index and intensity correlation length under strong scatter conditions. A series of numerical experiments are conducted to investigate the morphologies of the intensity spectrum, scintillation index, and intensity correlation length as functions of the spectral indices and strength of scatter; retrieve phase screen parameters from intensity scintillation observations; explore the relative contributions to the scintillation due to large-and small-scale ionospheric structures; and quantify the conditions under which a general spectral break will influence the scintillation statistics. CARRANO AND RINOTWO-COMPONENT IRREGULARITY SPECTRA 789 PUBLICATIONS

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Numerical computations for a one‐dimensional power law phase screen

Cited by 35 publications

References 10 publications

Strong scintillation spectra behind a phase screen containing large-scale anisotropic irregularities

Strong scintillation spectra behind a phase screen containing large-scale anisotropic irregularities

Propagation Modeling and Evaluation of Communication System Performance in Nuclear Environments

A theory of scintillation for two‐component power law irregularity spectra: Overview and numerical results

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