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Related Concept Videos

Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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Gauss's Law: Planar Symmetry01:27

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Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station
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Maximum far-field divergence angle of a plane source.

X Zeng, C Liang

    Applied Optics
    |November 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study reveals a new theoretical upper limit of 65.5° for the far-field divergence angle of any plane source. This finding challenges existing propagation and diffraction theories for optical systems.

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    Area of Science:

    • Optics and Photonics
    • Electromagnetism
    • Wave Propagation

    Background:

    • Understanding the far-field behavior of plane sources is crucial in optics.
    • Previous theories have limitations in predicting the maximum divergence angle.

    Purpose of the Study:

    • To determine the theoretical upper limit of the far-field divergence angle for a plane source.
    • To investigate the far-field behavior of plane sources, especially as their size approaches zero.

    Main Methods:

    • Theoretical analysis of plane wave propagation.
    • Mathematical derivation of far-field divergence limits.

    Main Results:

    • A novel theoretical upper limit of 65.5° for the far-field divergence angle of any plane source was established.
    • The far-field behavior of a plane source differs from a spherical wave when the source size approaches zero.

    Conclusions:

    • The findings challenge established propagation and diffraction theories.
    • This work provides a new fundamental limit for optical system design involving plane sources.