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Related Concept Videos

Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

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Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
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Linear Circuits01:17

Linear Circuits

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A linear circuit is characterized by its output having a direct proportionality to its input, adhering to the linearity property, which encompasses the principles of homogeneity (scaling) and additivity. Homogeneity dictates that when the input, also referred to as the excitation, is multiplied by a constant factor, the output, known as the response, is correspondingly scaled by the same constant factor. For instance, if the current is multiplied by a constant 'k,' the voltage likewise...
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Linear equations form the foundation of many algebraic and real-world applications, characterized by their simplicity and utility. A linear equation is an algebraic statement in which each term is either a constant or a product of a constant and a single variable. These equations represent straight lines when plotted on a Cartesian coordinate plane, reflecting a constant rate of change between two quantities.A typical linear equation in one variable has the form: ax + b = c, where a, b, and c...
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Deformation in a Circular Shaft01:10

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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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The term momentum is used in various ways in everyday language, most of which are consistent with the precise scientific definition. Generally, momentum implies a tendency to continue on course—to move in the same direction; we tend to speak of sports teams or politicians gaining and maintaining the momentum to win.  Momentum is also associated with great mass and speed and is often considered when talking about collisions. For example, when rugby players collide and fall to the...
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Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
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Related Experiment Video

Updated: Feb 7, 2026

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Three-Dimensional Imaging of Terahertz Circular SAR with Sparse Linear Array.

Jubo Hao1, Jin Li2, Yiming Pi3

  • 1School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China. jubohao@163.com.

Sensors (Basel, Switzerland)
|August 2, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces a novel 3D imaging algorithm for terahertz synthetic aperture radar (SAR) security screening. The method overcomes hardware limitations for high-resolution imaging, proving terahertz radar

Keywords:
3D imagingcircular SARsparse linear sensor arraysparse recoveryterahertz

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Area of Science:

  • Electromagnetics and Remote Sensing
  • Applied Physics
  • Signal Processing

Background:

  • Terahertz (THz) synthetic aperture radar (SAR) offers non-contact and harmless security screening capabilities for public areas.
  • Achieving high-resolution, all-aspect 3D imaging with THz SAR is challenging due to hardware constraints related to short wavelengths and grating lobes.

Purpose of the Study:

  • To develop a 3D imaging algorithm for THz SAR that overcomes the grating lobe problem caused by short wavelengths.
  • To enable high-resolution, all-aspect 3D security imaging in public spaces using THz SAR technology.

Main Methods:

  • A sparse linear array model based on the equivalent phase center principle was established to address hardware limitations.
  • A 3D imaging algorithm was derived, incorporating a phase-preserving algorithm for 2D ground plane imaging and sparse recovery for height-direction scattering coefficient reconstruction.

Main Results:

  • Numerical simulations and experimental data validated the effectiveness of the proposed 3D imaging algorithm.
  • The study demonstrated the feasibility of applying THz radar for advanced security detection systems.

Conclusions:

  • The developed sparse linear array model and 3D imaging algorithm successfully overcome the grating lobe issue in THz SAR.
  • THz SAR imaging presents a viable and effective technology for enhanced security screening in public environments.