Ronald L. Fante’s research while affiliated with United States Air Force and other places

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Publications (70)


Geometry assumed for the derivation of the two-source, two-frequency spherical-wave coherence functions.
Generalized coherence functions for propagation in a random medium
  • Article
  • Publisher preview available

August 1986

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8 Reads

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4 Citations

Ronald L. Fante

We have derived the two-source, two-frequency mutual coherence functions for a spherical wave propagating in a random medium for the case when the receivers do not necessarily lie in the same transverse plane.

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VI Wave Propagation in Random Media: A System Approach

December 1985

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28 Reads

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96 Citations

Progress in Optics

Consideration is given to the properties of electromagnetic wave propagation in a random medium having large spatial inhomogeneities in comparison with the wavelength of the radiation. The magnitude of the fluctuations in the refractive index of the medium is assumed to be near unity. A generalized version of the Huygen-Fresnel principle is derived from the vector form of the Maxwell wave equation. Specific solutions are obtained for the second moment of the electric field in the medium, the effect of scintillations, and the interaction of radiation with a rough surface immersed in a random medium. The effect of random fluctuations in temperature, humidity, and pressure on the propagation of electromagnetic waves in the atmosphere is analyzed on the basis of the theoretical results.


Geometry assumed in derivation of Eq. (10).
Offset incident beam. Diffraction spread by screen is assumed to be negligible, i.e., klp² ≫ z1. Also, ka² ≫ z1, where a is the transverse radius of the incident beam.
Imaging of an object behind a random phase screen using light of arbitrary coherence

December 1985

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6 Reads

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51 Citations

We have considered the imaging of an object located an arbitrary distance behind a random phase screen and illuminated with light of arbitrary spatial coherence. The limiting cases of smooth and diffuse objects illuminated with either spatially incoherent or spatially coherent light are evaluated in detail.


Detection of Multiscatter Targets in K-Distributed Clutter

January 1985

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15 Reads

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24 Citations

IEEE Transactions on Antennas and Propagation

Results are obtained for the probability of single-pulse detection of an N -glint target immersed in K -distributed clutter. The results are applicable to low-grazing-angle detection of realistic targets in heavy ground and sea clutter.


Short-Wavelength Target Modeling

February 1984

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6 Reads

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2 Citations

IEEE Transactions on Antennas and Propagation

A simplified model has been employed to review the scattering characteristics of targets in the short wavelength limit. It is demonstrated that the reflected signal can be modeled as a diffuse plus a finite number of coherent returns (also called glints). It is then demonstrated that for accurate target location and direction it is usually necessary to decorrelate these glint returns. The conditions required for this are derived.


Variance of the normalized irradiance of a plane wave in the limit when β = λ/l0² ≪ 1.
Variance of the normalized irradiance of a plane wave plotted versus the turbulence strength parameter σ1² with β = λz/lo² as a parameter.
Comparison of the theoretical predictions (solid curves) for the standard and the deviation of the irradiance of a plane wave with measured data. The range of the measured data is indicated by the shaded area, and the average of the measured values is the dashed curve.
Plot of the function γ(0, r)|γ(0, 0) for various values of σo².
Qualitative plot of the normalized covariance of the irradiance. The values of the parameters rL, rS, and h are given in Table 1.
Inner-scale size effect on the scintillations of light in the turbulent atmosphere

March 1983

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9 Reads

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55 Citations

Journal of the Optical Society of America

The asymptotic theory has been used to calculate the effect of the inner-scale size of the eddies on the properties of the irradiance variance and covariance of a plane wave propagating in a turbulent medium. It is found that the inclusion of a finite inner scale leads to an increase in the irradiance variance over what is predicted in the limit when the inner scale is zero. In addition, the inclusion of a finite inner scale alters the results for the spatial scales over which the irradiance scintillations are correlated. Finally, the results obtained are compared with recent predictions obtained by using the heuristic theory.


Modern Mathematical Models For Wave Propagation In Turbulent Media

December 1982

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5 Reads

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2 Citations

Proceedings of SPIE - The International Society for Optical Engineering

Mathematical models of plane-wave, spherical-wave, and beam propagation in turbulent media are examined in a review of recent theoretical investigations. Rigorous theories of extended turbulence are introduced, and the approximation methods for calculating the fourth moment are compared: extended Huygens-Fresnel principle, bootstrap method, modified Rytov approximation, and phase-screen approximation. It is found that the theory is almost complete for low-order problems but almost entirely deficient for higher-order problems.



Scattering of electromagnetic waves from random media with multiple scattering included

June 1982

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12 Reads

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8 Citations

Closed-form results which include all orders of multiple scattering have been obtained for the field and intensity when an arbitrary electromagnetic wave is incident on a randomly inhomogeneous medium. In obtaining the results it is assumed that the magnitude of the permittivity fluctuations is small in comparison with unity and the spatial extent of the fluctuations is large in comparison with the wavelength. Simplified approximations, which are valid outside the backscatter cone, are then obtained. These approximations are found to depend only on the second moments of the field in the medium, and are valid if the mean free path between photon scatterings is large in comparison with the size of the inhomogeneities.


Geometry used in obtaining Eqs. (14) and (15). Note that |r″ − ρ| = L, |r − ρ′| = L1 and |r′ − r″| = R.
Geometry used to obtain Eqs. (18) and (19).
Sufficient condition for applying the ladder approximation to the multiple scattering of light in random media

June 1982

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3 Reads

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6 Citations

Journal of the Optical Society of America

We have obtained a sufficient condition under which the ladder approximation may be used to decouple the moment equations (e.g., the Bethe–Salpeter equation) that result when one analyzes the propagation of optical waves in a randomly inhomogeneous medium. Simply stated, this means that the mean free path for multiple scattering by the inhomogeneities is required to be large in comparison with the size of the inhomogeneities.


Citations (46)


... Many imaging systems, including terrestrial and satellite imaging, underwater imaging, and microscopy through biological tissues, are significantly impacted by the non-homogeneous nature of the propagation medium. The primary factors influencing light propagation in such media include absorption, scattering, and fluctuations in the refractive index due to optical turbulence [3]. These turbulenceinduced fluctuations lead to wavefront distortions, causing phenomena such as beam spreading, beam wander, and a loss of spatial coherence of the electromagnetic field. ...

Reference:

Robustness of chaotic-light correlation plenoptic imaging against turbulence
VI Wave Propagation in Random Media: A System Approach
  • Citing Chapter
  • December 1985

Progress in Optics

... The statistical theory of turbulence gave an understanding of how one can describe complex random systems, while the theory of random functions provided the rigorous mathematical apparatus for dealing with signals modulated randomly in phase and amplitude. Among such landmarks are the introduction of the concept of locally homogeneous random media (Obukhov, 1949), the development of Rytov's theory of smooth perturbations (Obukhov, 1953), the derivation of field moment equations (Shishov, 1968), the asymptotic methods for solving such equations (Fante, 1975b;Gochelashvily & Shishov, 1975;Yakushkin, 1975) and computable modeling of ionospheric scintillation (Rino, 1979a(Rino, , 1979bVasylyev et al., 2022;Hamza et al., 2024). These concepts allow one to establish a rigorous mathematical framework for dealing with wave propagation in the ionosphere, and to derive further universally applicable formulas for scintillation indices. ...

Electric field spectrum and intensity covariance of a wave in a random medium
  • Citing Article
  • January 1975

... From the theoretical point of view, analysis of wave propagation can be carried out in a perturbative regime using in particular Rytov theory with small fluctuations in the wave field to obtain insight about the scintillation [14,15]. The fluctuations of intensity and how they depend on source coherence time have been studied in [16,17] in the situation when the detector response time is either short or long compared to the source coherence time, but in general, short compared to the time scale at which the medium changes. We shall refer to the case when the detector averaging time is short, respectively, long, compared to the source coherence time as a fast, respectively, slow, detector. ...

Effect of source bandwidth and receiver response time on the scintillation index in random media
  • Citing Article
  • March 1977

... If a monochromatic wave propagates in the z direction, the wave field e(x, y, z) can be written as e(x, y, z) = u(x, y, z) e -i(~' '-kz) We shall consider the cases when following two assumptions are valid. First when 82u/Sz2 is small, the wave equation can be written approximately as [1,2] ...

Modern Mathematical Models For Wave Propagation In Turbulent Media
  • Citing Article
  • December 1982

Proceedings of SPIE - The International Society for Optical Engineering

... (2.42) in evaluating the correlation function for normalized intensity in strong turbulence have been given by Fante [23,24], although beware of a critical error in the power of t in the g(W) function in Equation (6) of reference [24], where it is written as t 8/3 but should be t 8/11 as defined correctly by Fante in reference [23]. These functions are ...

Irradiance scintillations: Comparison of theory with experiment

Journal of the Optical Society of America

... The exploration of time interfaces has led to exciting new physical phenomena [22][23][24][25][26] , including temporal aiming 27 , temporal multilayer structures modelling higher-order transfer functions 28 and impedance transformers that can be used as temporal filters 29 , classical and quantum antireflection temporal coating 30,31 , temporal analogue of metasurface unit cells 32 , broadband light sculpting 33 , analogue of Faraday polarization rotation at time interface in magnetoplasma 34 , broadband frequency translation 35 , the phase-conjugation of time-reflected waves 36 , temporal prism 37 and inverse prism 38,39 , temporal Brewster angle 40 , temporal twistronics 41 , amplification and holding of surface waves [42][43][44] , ultra slow surface waves 44 , propagating to evanescent waves coupling 45 , among others 18,[46][47][48][49][50][51][52][53] . Interestingly, the first experimental demonstrations of time interfaces have been reported in the past few years. ...

Optical Propagation in Space–Time-Modulated Media Using Many-Space-Scale Perturbation Theory

Journal of the Optical Society of America

... They found that MTF is related to second-order statistics of the field. In contrast to most of research, Fante has studied the imaging of incoherent sources through turbulence, and the results show that high spatial frequencies are not significantly affected by the turbulence; however, the lower frequencies may be affected considerably [6]. Yang et al. have given imaging expression of point object and plane mirror in turbulent medium [7]. ...

Some results on the imaging of incoherent sources through turbulence

Journal of the Optical Society of America

... since scintillated correlation widths are on the order of the first Fresnel zone radius √ λZ 1 and N F counts the number of Fresnel zones contained within the entrance pupil. Scintillation index reduces further through the use of polychromatic light, which Fante [17] and Baykal [18] have both shown to produce a bandwidth-averaging factor that applies to either spherical-or plane-wave illumination. Korotkova [19] more recently demonstrated how scintillation scales with polarization in the same way as speckle [cf. ...

The effect of source temporal coherence on light scintillations in weak turbulence

Journal of the Optical Society of America

... The physical interpretation of a phase screen statistics is dependent on how the scattering problem influences the optical phase power spectral density (PSD). 29 We propose a random phase screen framework, which includes scattering from particles that are smaller or comparable to the wavelength extendable to other propagation problems such as rough surfaces or biological tissue. This claim is only valid within the small-angle scattering approximation where large scattering angles are ignored; thus, the modeled scattering effects hold when |n p /n 0 − 1| ≪ 1 and 2ka|n p /n 0 − 1| ≪ 1, where n 0 is medium refractive index, and n p is the particle's refractive index, k = 2π/λ is the free-space wavenumber, and a is the particle radius. ...

Mutual coherence function and frequency spectrum of a laser beam propagating through atmospheric turbulence

Journal of the Optical Society of America

... (46) because it completely neglects the scattering within the medium. This is why the roots of Eq. (48) are not shown in Fig. 2. In contrast, the prediction of the resonance equation (46) of the effectivemedium theory is more reliable because it includes the effects of finite values of κ. ...

Relationship between radiative-transport theory and Maxwell’s equations in dielectric media

Journal of the Optical Society of America