## 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
The diffraction of light by two perpendicular ultrasonic waves
β Scribed by P. Phariseau
- Publisher
- Elsevier Science
- Year
- 1957
- Weight
- 224 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0031-8914
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β¦ Synopsis
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 two systems which are of the Raman-Nath type for the diffraction by one ultrasonic wave x). If the two ultrasonics have very different intensities, the equation becomes rather complicated. In this case it is still possible to reduce their integration to that of a system of the Raman-Nath type and to a more complicated one. Approximate solutions shall be established in a following paper.
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,