Gondek G, Grulkowski I, Kwiek P, Reibold R
Institute of Experimental Physics, Uniwersytet Gdanski, Gdansk, Poland.
Ultrasonics. 2007 May;46(2):133-7. doi: 10.1016/j.ultras.2007.01.003. Epub 2007 Jan 14.
The paper constitutes a concise study of light diffraction by two superposed ultrasonic waves of the frequency ratio 1:2, beyond the Raman-Nath diffraction regime. Relevant numerical simulations of light intensity distribution within separate diffraction orders are shown based on the Nth order approximation method (NOA). A comparison is given between generalized theoretical predictions (N=7) and simplified formulas of Mertens (N=2) [R. Mertens, Diffraction of light by two parallel superposed supersonic waves, one being the nth harmonic of the other: A critical study of the methods leading to approximate solutions in finite form, Proc. Indian Acad. Sci. 55 (1962) 63-98.]. Moreover, the results of the performed experiment are presented which indicate limited applicability range of Mertens' pioneer description of 1962.
本文对频率比为1:2的两个叠加超声波产生的光衍射进行了简要研究，该研究超出了拉曼 - 纳特衍射范围。基于第N阶近似方法（NOA）展示了各衍射级次内光强分布的相关数值模拟。文中给出了广义理论预测（N = 7）与默滕斯简化公式（N = 2）[R. 默滕斯，《两个平行叠加超声波产生的光衍射，其中一个是另一个的n次谐波：对有限形式近似解方法的批判性研究》，《印度科学院学报》55 (1962) 63 - 98]之间的比较。此外，还给出了所进行实验的结果，这些结果表明默滕斯1962年的开创性描述适用范围有限。
