Scalar theory of diffraction

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Presentation transcript:

Scalar theory of diffraction EE 231 Introduction to Optics Scalar theory of diffraction Lesson 13 Andrea Fratalocchi www.primalight.org

Hands on real cases: Application of diffraction theory Rules and regulations The class is divided into 3 teams Each team is in competition with the others Use of internet and other online resources is not allowed Books are not allowed, only copy of the electronics notes The activity is organized in II main modules, each module has a score from 1 to 10 and should be completed on 1, maximum 2, A4 pages. Justify all assumptions and approximations used. Each team can send a single "preview" of the solution of each module. The preview is quickly assessed and errors/inconsistencies are marked for revision. In each module, each member of the team can examine the various elements allowed to be used in the experiment At the end of the 2nd module, the winning team performs the experiment and acquires the data for the lab report, which has to be completed individually by each member of the team

The Scalar theory of diffraction Hands on real cases: Application of diffraction theory Part I (5 min) 142821 Congli Wang (Team A) 149353 Ronghui Lin (Team B) 142765 Qilin Sun (Team C)

The Scalar theory of diffraction Hands on real cases: Application of diffraction theory The Problem: you are required to design an experiment to measure the thickness of a sub mm object, such as a human hair

The Scalar theory of diffraction Hands on real cases: Application of diffraction theory The Problem: you are required to design an experiment to measure the thickness of a sub mm black object, such as a human hair Elements you can use Laser Metric tape

The Scalar theory of diffraction Hands on real cases: Application of diffraction theory Module I (25 min) Design the experiment, including: The setup The theoretical analysis of light propagation and input-output relations of the observables used to measure the thickness The formula expressing the thickness as a function of the observables

The Scalar theory of diffraction Hands on real cases: Application of diffraction theory Module II (30 min) Evaluate the uncertainty of your measurement procedure, including: Express all the possible sources of uncertainty in your measure, and characterize their nature (type A or type B following NIST guidelines) Evaluate the standard uncertainty of each separate component Evaluate the combined uncertainty of your measure Is there space for improvement?