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Related Concept Videos

Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

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When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
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Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

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Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
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Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

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One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
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Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

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When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
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Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

618
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

739
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Related Experiment Video

Updated: Apr 3, 2026

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization
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Beam deformation within an acousto-optic lens.

Zhenqiao Zhou, Longhui Li, Jiancun Wang

    Optics Letters
    |September 23, 2015
    PubMed
    Summary

    Acousto-optic lenses (AOLs) used in neuroscience can deform diffraction beams, reducing image quality. This study analyzes beam deformation in AOLs, finding it worsens spatial resolution by decreasing numerical aperture.

    Area of Science:

    • Optics
    • Neuroscience instrumentation

    Background:

    • Acousto-optic lenses (AOLs) are increasingly utilized in neuroscience research.
    • Understanding the optical properties of AOLs is crucial for advanced imaging techniques.

    Purpose of the Study:

    • To analyze the deformation of diffraction beams passing through a pair of acousto-optic deflectors (AODs).
    • To investigate the impact of AOL parameters on beam characteristics and image quality.

    Main Methods:

    • Theoretical analysis of beam propagation through AOLs.
    • Experimental validation using a dual-AOD system.
    • Measurement of diffraction beam properties and spatial resolution.

    Main Results:

    • Acousto-optic deflectors exhibit high sensitivity to optical spatial frequencies, significantly weakening diffraction beam boundaries.

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  • Shorter focal lengths in AOLs exacerbate beam deformation and reduce beam size.
  • Deformation leads to a decreased illuminative numerical aperture, negatively impacting image spatial resolution.

    • Conclusions:

    • Acousto-optic lens beam deformation is a critical factor affecting imaging performance in neuroscience.
    • Optimizing AOL design and operation is necessary to mitigate beam deformation and improve spatial resolution.
    • Further research should focus on correcting or compensating for beam deformation in AOL systems.