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Short wavelength approximation to the wave equation
The perturbation approach of Brillouin
10 other sections not shown
analogue computer analytic asymptotic basic equations Bessel functions Bessel-function expressions Bhatia and Noble Born approximation boundary conditions Brillouin Chapter constant continued fraction convergents correction terms curves defined derived difference equation diffracted amplitudes diffracted beams é-axis eigenvalues EOUATION evanescent waves exit face expansion experimental experiments exponentially Extermann and Wannier factor first-order formula geometrical optics given gives incident integral intensities involved Klein and Hiedemann Laplace transform light liquid Mathieu functions Nath necessary neglected Nomoto normal number of spectra numerical calculation obtained optics parameter physical polynomials power series present quantities Raman Raman—Nath equation rays reflected waves refractive index relation result rewritten Sanders satisfied scalar wave theory Section Snell's law ſº So(p solve sound wave Substitution summation symmetry theories of ultrasonic transmitted diffracted ultrasonic diffraction problem unity valid variable vessel wave equation wave function wave number WKB method zero zero-order