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amplitude fluctuation index angular power spectrum angular spectrum Appendix assumed autocorrelation average amplitude deviation Booker c(ml c(nl C(sc ml calculated cl 9 clnl correlation bandwidth cut-off spectrum cut-off wave number Cut-off Wave-number Spectrum deduce deep-modulation analysis deeply phase-modulating analysis diffracted angular diffracted radiation diffracting layer diffracting screen diffraction pattern diffraction region Dirac delta function ensemble average Equation evaluated expressed in terms Fresnel diffraction Fresnel range Gaussian Hewish indices ionosphere irregularities irzs larger values magnitude measurements method modulating screen nl ain oblique incidence phase deviation quantities random phase random variable relation remote cut-off wave-number rms phase S(sc scale scattered waves scattering layer scattering screen scintillation screen height shallow-modulating screen shallow-modulation analysis signal phasor spectral component spectral density spectral distribution function spectral functions Stieltjes integral term of Equation trigonometric undeviated plane wave undeviated wave war2l wave-number power spectrum wavelength zenith angle