Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Tangent to a Curve01:30

Tangent to a Curve

254
The graph of a function where each output is the square of the input creates a smooth curve that bends upward, becoming steeper as one moves further from the center. At any chosen position along this curve, the curve reaches a certain height depending on the input value. This position can be a reference for analyzing how the curve behaves in its immediate vicinity.To understand the change in the curve near a particular position, imagine selecting another point slightly ahead along the curve.
254
Trigonometric Identities II01:28

Trigonometric Identities II

291
Double-angle and half-angle trigonometric identities are derived from the fundamental sum and difference formulas and serve as essential tools for simplifying expressions, solving equations, and evaluating integrals. These identities reduce the complexity of trigonometric functions by relating functions of a multiple or fractional angle to functions of a single angle. Their applications extend across mathematics, physics, and engineering, particularly in Fourier analysis, wave mechanics, and...
291
Introduction to Horizontal Curves01:19

Introduction to Horizontal Curves

535
Horizontal curves are essential in highway and railroad design, ensuring smooth and safe transitions between straight path segments, or tangents. These curves allow vehicles to maintain speed without abrupt changes, minimizing accidents and improving travel efficiency.A horizontal curve is typically defined by its geometric relationship to two tangents that meet at an intersection point (P.I.), where a simple curve is introduced to connect them. The back tangent refers to the initial tangent...
535
Circles01:18

Circles

153
A circle in the coordinate plane is defined as the set of all points that lie at a constant distance, known as the radius, from a fixed point called the center. This relationship is captured using the distance formula. For a point (x, y) on the circle and a center (h, k), the distance between them equals the radius r. By squaring both sides of the distance formula, the equation of the circle is written in standard form:Constructing the Equation from Geometric InformationIf the center and the...
153
Horizontal Curve: Problem Solving01:03

Horizontal Curve: Problem Solving

308
A horizontal curve is characterized by its radius, intersection angle, and stationing of key points. In this case, the radius is 400 meters, and the angle of intersection is 30 degrees, with the station of the point of curvature (P.C.) at 0 + 150 meters. The goal is to determine the station values at the point of intersection (P.I.), point of tangency (P.T.), and midpoint of the curve, as well as the length of the long chord.The process begins with calculating the tangent distance (T) and the...
308
Curve Equations01:17

Curve Equations

276
Curves are essential geometric elements characterized by tangent distance, chord length, middle ordinate, and total arc length. These measurements are crucial in understanding a curve's geometric and spatial properties and are defined by the relationship between its radius and its central angle.The tangent distance (T) refers to the straight-line measurement from the intersection point of two tangents to either the start or end of the curve. This distance is influenced by the curve's radius (R)...
276

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Radiation mode-based microphone array: Experimental verification.

JASA express letters·2024
Same author

Microphone array based on tangent line method.

The Journal of the Acoustical Society of America·2024
Same author

Sound delivery to listening point using tangent line method.

JASA express letters·2023
See all related articles

Related Experiment Video

Updated: Jan 8, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.5K

Circular array based on the tangent line method.

Tsutomu Kaizuka1, Kaisei Koshiishi1

  • 1Department of Mechanical Science and Engineering, Kogakuin University, 2665-1 Nakano-machi, Hachioji-shi, Tokyo 192-0015, Japan.

The Journal of the Acoustical Society of America
|December 17, 2025
PubMed
Summary

The tangent line method (TLM) uses circular arrays for acoustic beamforming, overcoming line array limitations. This approach enables precise control over curvilinear acoustic beams for enhanced directivity and distance discrimination.

More Related Videos

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

23.8K
Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

3.9K

Related Experiment Videos

Last Updated: Jan 8, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.5K
Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

23.8K
Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

3.9K

Area of Science:

  • Acoustics
  • Signal Processing
  • Array Signal Processing

Background:

  • The tangent line method (TLM) generates curvilinear acoustic beams using array signal processing.
  • Previous TLM studies focused on line arrays, which suffer from undesired back-lobe beams due to symmetry.

Purpose of the Study:

  • To investigate the use of asymmetric circular arrays for TLM to overcome limitations of line arrays.
  • To formulate array signal processing for generating circular beams with circular arrays.

Main Methods:

  • Developed array signal processing techniques for circular beam generation using circular arrays.
  • Validated the theoretical framework through computational simulations and experimental testing.

Main Results:

  • Circular arrays effectively generate curvilinear acoustic beams without the back-lobe issues of line arrays.
  • The trajectory of the generated beam can be precisely controlled for directivity and distance discrimination.

Conclusions:

  • Circular arrays are a viable alternative to line arrays for TLM applications.
  • The developed methods enable enhanced control over acoustic beamforming for various applications.