We establish a system of difference-differential equations describing the diffraction of light by two mutually perpendicular supersonic waves. When the two supersonics have intensities of the same order of magnitude, we prove that the integration of these equations is reduced to the integration of t
The diffraction of light by two perpendicular ultrasonic waves II
β Scribed by P. Phariseau
- Publisher
- Elsevier Science
- Year
- 1957
- Weight
- 504 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0031-8914
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β¦ Synopsis
Synopsis
Referring to our previous paper, we deduce solutions in the form of a series of Bessel functions for the systems of difference-differential equations, appearing there. After giving rigorous relations between the coefficients we are able to give explicit expressions for the intensities of the different spectra in the case of small widths of the ultrasonic field. Investigating the extremum of these intensities for variable angles of incidence, we find that they become maximum when the angle of incidence is equal to the Bragg angle. So we have proved the complete analogy between the diffraction of light by two perpendicular supersonic waves and the X-ray diffraction in crystals.
π SIMILAR VOLUMES
The study reported here was concerned with the diffraction pattern of a diffracted light beam caused by two adjacent parallel ultrasonic waves, showing a phase-difference 6 and having equal wavelengths but different widths and pressures. In the case where the wavelength parameter, p, is very small,