Publication

Glass patterns in the superposition of random line gratings

Isaac Amidror
2003
Journal Articles

Abstract

Moire effects ('Glass patterns') that occur in the superposition of correlated random layers have long been studied. However, only little is known of Glass patterns which occur in the 1D random case: namely, when the superposed layers consist of random line gratings, straight or curved. In this paper we study the properties and the behaviour of such Glass patterns, and we compare them with those of the analogous moire effects between periodic line gratings. We provide for each case a detailed mathematical analysis of the fringe shapes and locations, along with illustrative figures which clearly compare the behaviour of the corresponding random and periodic (or repetitive) superpositions

Official source

https://infoscience.epfl.ch/entities/publication/e017cc74-107d-41cc-a6cc-d86143d25add

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Isaac Amidror
2003
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/e017cc74-107d-41cc-a6cc-d86143d25add

About this result

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A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. The term 'random variable' can be misleading as it is not actually random nor a variable, but rather it is a function from possible outcomes (e.g., the possible upper sides of a flipped coin such as heads and tails ) in a sample space (e.g., the set ) to a measurable space (e.g., in which 1 corresponding to and −1 corresponding to ), often to the real numbers.

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