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Related Concept Videos

Tangent Planes to Surfaces01:19

Tangent Planes to Surfaces

In multivariable calculus, the concept of a tangent plane plays a central role in approximating curved surfaces. When dealing with a surface defined by a function of two variables, such as z = f(x, y), the tangent plane at a given point provides the best linear approximation to the surface near that point. This local linearization allows complex, nonlinear geometries to be treated using simpler, planar models.The construction of the tangent plane involves taking vertical slices of the surface...
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Confocal microscopy is an advanced microscopic technique. The prime advantage of the confocal microscope over other microscopy techniques is its ability to block the out-of-focus light from the illuminated samples using pinholes. It is widely used with fluorescence optics to obtain high-resolution, sharp contrast images. Unlike optical microscopes, confocal microscopes use a focused beam of light laser to scan the entire sample surface at different z-planes. These microscopes are, therefore,...
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Automated 3D Optical Coherence Tomography to Elucidate Biofilm Morphogenesis Over Large Spatial Scales
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Published on: August 21, 2019

Optical image plane correlator for ambiguity surface computation.

D Casasent, B V Kumar

    Applied Optics
    |March 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces an optical correlator for calculating the ambiguity function of complex signals. It uses innovative techniques for precise signal analysis without moving parts.

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    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
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    Published on: February 12, 2014

    Area of Science:

    • Optical signal processing
    • Correlation techniques
    • Waveform analysis

    Background:

    • Passive, wideband, complex, and basebanded signals require sophisticated correlation methods.
    • Existing correlators may have limitations in handling complex signal characteristics.

    Purpose of the Study:

    • To describe an optical image plane correlator for computing the ambiguity function.
    • To enable analysis of complex, wideband signals for passive systems.

    Main Methods:

    • Utilized quadrature input modulation and single-sideband filtering.
    • Employed a modified image plane correlator design with no moving parts.
    • Developed complex correlation capabilities for signal analysis.

    Main Results:

    • Successfully computed the ambiguity function for various signal types.
    • Experimental verification performed on Linear Frequency Modulated (LFM) and Barker-coded waveforms.
    • Validated performance using synthetic data.

    Conclusions:

    • The described optical correlator effectively computes the ambiguity function for complex signals.
    • The no-moving-parts design offers a robust solution for signal processing.
    • Experimental results confirm the system's accuracy and versatility.