{"title":"Spectral Density of Spatial Noise of a Laser Beam Upon Reflection from a Non-Ideal Surface","authors":"E. A. Khazanov, A. A. Kochetkov, D. E. Silin","doi":"10.1007/s11141-024-10308-9","DOIUrl":null,"url":null,"abstract":"<p>We have studied the spectral properties of the inhomogeneities in the surface profile of a quartz plate in the spatial range from 10 μm to 100 mm on the basis of precision interferometric measurements. Analytical integral relations connecting one- and two-dimensional spectral densities of an isotropic random function, such as surface profile or spatial phase distribution of the laser beam, were obtained. It is shown that if the one-dimensional spectral density in a certain range of spatial frequencies decreases in a power-law manner, then the two-dimensional spectral density in the same range also decreases in a power-law manner with an exponent greater by one. The experimental data are in good agreement with the theoretical ones.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"66 5-6","pages":"469 - 478"},"PeriodicalIF":0.8000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-024-10308-9","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
We have studied the spectral properties of the inhomogeneities in the surface profile of a quartz plate in the spatial range from 10 μm to 100 mm on the basis of precision interferometric measurements. Analytical integral relations connecting one- and two-dimensional spectral densities of an isotropic random function, such as surface profile or spatial phase distribution of the laser beam, were obtained. It is shown that if the one-dimensional spectral density in a certain range of spatial frequencies decreases in a power-law manner, then the two-dimensional spectral density in the same range also decreases in a power-law manner with an exponent greater by one. The experimental data are in good agreement with the theoretical ones.
期刊介绍:
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.