Statistical averaging in position determination by holography under turbulence conditions

Abstract

An investigation of several, disparate phenomena is conducted with the aim of developing a novel surveying system capable of overcoming the limitations imposed by turbulence in modern surveying. This method incorporates standard holographic techniques and time domain statistical averaging of survey data. Some pertinent characteristics of atmospheric turbulence are reviewed, and the restrictions imposed on standard surveying practices by such turbulence are identified. A model for the turbulent medium is proposed on the basis of previous work and several theoretical results are summarized and extended. On this basis the technical characteristics of the proposed technique are developed and each step analyzed in detail and design procedures established. A specific surveying task is selected and the new method is applied. Experimental verification of each of the techniques employed in the new surveying method is presented. To this end techniques for the laboratory production of the desired condition and for the analysis of the method for recording survey data under turbulence are developed and their validity tested. Statistical analysis of the recorded survey data is presented to verify the accuracy of the results. As a second application of the holography principles and techniques described, a novel methodology is proposed, capable of overcoming inherent restrictions of the miniature techniques presently used by the motion picture industry. The existing use of miniature techniques is reviewed and the benefits of the holographic techniques are identified. The process by which the new method is implemented is described. The mathematics for determining the dimensions of the miniature objects and the locations of all the components utilized in making the hologram and reconstructing and magnifying its image are presented. Sources of distortion are also discussed and methods for avoiding them are indicated. Experimental verification is cited

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