Raman, C. V. ; Nagendra Nath, N. S. (1936) The diffraction of light by high frequency sound waves. Part III. Doppler effect and coherence phenomena Proceedings of the Indian Academy of Sciences, Section A, 3 (1). pp. 7584. ISSN 03700089

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Official URL: http://www.ias.ac.in/j_archive/proca/3/1/7584/vie...
Related URL: http://dx.doi.org/10.1007/BF03046238
Abstract
The theory developed in part I of this series of papers has been developed in this paper to find the Doppler effects in the diffraction components of light produced by the passage of light through a medium containing (1) a progressive supersonic wave and (2) a standing supersonic wave. (1) In the case of the former the theory shows that the nth order which is inclined at an angle sin1 (nλ/λ^{∗}) to the direction of the propagation of the incident light has the frequency νnν^{∗} where ν is the frequency of light, ν^{∗} is the frequency of sound and n is a positive or negative integer and that the nth order has the relative intensity J^{2}_{n}(2πμL/λ) where μ is the maximum variation of the refractive index, L is the distance between the faces of the cell of incidence and emergence and λ is the wavelength of light. (2) In the case of a standing supersonic wave; the diffraction orders could be classed into two groups, one containing the even orders and the other odd orders; any even order, say 2n, contains radiations with frequencies ν±2rν^{∗} where r is an integer including zero, the relative intensity of the ν±2rν^{∗} subcomponent being J^{2}_{nr}(πμL/λ) J^{2}_{n+r}(πμL/λ); and odd order, say 2n+1, contains radiations with frequencies ν ± 2r+1̅ν^{∗}, the relative intensity of the ν ± 2r+1̅ν^{∗} subcomponent being J^{2}_{nr} , (πμL/λ) J^{2}_{n+r+1}(πμL/λ). These results satisfactorily interpret the recent results of Bar that any two odd orders or even ones partly cohere while an odd one and an even one are incoherent.
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