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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
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Perceiving others accurately is fundamental to effective communication and relationship-building. Social perception, a key concept in social psychology, refers to the cognitive processes through which individuals gather and interpret information about others to understand their actions, intentions, and motivations. This process extends beyond spoken words and overt behaviors, incorporating subtle nonverbal cues and contextual factors.Nonverbal Cues and Their SignificanceNonverbal cues play a...
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In statistics, correlation describes the degree of association between two variables. In the subfield of linear regression, correlation is mathematically expressed by the correlation coefficient, which describes the strength and direction of the relationship between two variables. The coefficient is symbolically represented by 'r' and ranges from -1 to +1. A positive value indicates a positive correlation where the two variables move in the same direction. A negative value suggests a...
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How to Build a Laser Speckle Contrast Imaging LSCI System to Monitor Blood Flow
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Introducing non-local correlations into laser speckles.

Nicholas Bender, Hasan Yılmaz, Yaron Bromberg

    Optics Express
    |March 17, 2019
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    Summary
    This summary is machine-generated.

    Researchers developed a new method to control laser speckle patterns, enabling tailored long-range correlations. This advancement enhances optical manipulation for applications in imaging and atomic physics.

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    Area of Science:

    • Optics and Photonics
    • Atomic, Molecular, and Optical Physics

    Background:

    • Laser speckle patterns are crucial in modern optics research, underpinning imaging techniques and optical potential generation.
    • Standard speckle patterns exhibit short-range (local) intensity correlations, limiting their application scope.
    • Manipulating long-range (non-local) intensity correlations in speckle patterns is vital for advanced applications.

    Purpose of the Study:

    • To experimentally demonstrate and theoretically develop a general method for creating fully-developed laser speckles with strong non-local intensity correlations.
    • To enable arbitrary tailoring of the spatial intensity correlation function without affecting field correlations.

    Main Methods:

    • Development of a novel theoretical framework for speckle pattern generation.
    • Experimental validation of the proposed method for controlling non-local correlations.

    Main Results:

    • Successful creation of fully-developed speckles with significantly enhanced non-local intensity correlations.
    • Demonstration that the functional form of spatial intensity correlations can be arbitrarily tailored.
    • Confirmation that tailoring intensity correlations does not alter underlying field correlations.

    Conclusions:

    • The presented approach offers a versatile and utilitarian framework for enhancing and controlling non-local correlations in laser speckle patterns.
    • This method opens new possibilities for advanced optical manipulation and imaging techniques.