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Related Concept Videos

Echo01:06

Echo

The human ear cannot distinguish between two sources of sound if they happen to reach within a specific time interval, typically 0.1 seconds apart. More than this, and they are perceived as separate sources.
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case, then the...
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Types of Responses of Series RLC Circuits01:11

Types of Responses of Series RLC Circuits

A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.
Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Problem Solving: Dimensional Analysis01:08

Problem Solving: Dimensional Analysis

Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...

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Fixed time versus fixed range reverberation calculation: analytical solution.

Chris H Harrison1, Michael A Ainslie

  • 1NATO Undersea Research Centre, Viale San Bartolomeo 400, 19126 La Spezia, Italy. harrison@nurc.nato.int

The Journal of the Acoustical Society of America
|July 24, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces new methods for calculating reverberation, accounting for its true nature as a function of time rather than just range. The findings offer a more accurate understanding of acoustic reverberation in ocean environments.

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Area of Science:

  • Underwater acoustics
  • Signal processing
  • Oceanography

Background:

  • Reverberation is typically calculated based on range, but it is actually a time-dependent phenomenon.
  • Existing models often oversimplify the complex nature of acoustic backscatter.

Purpose of the Study:

  • To develop and present closed-form solutions for reverberation calculations.
  • To analyze reverberation as a function of both fixed range and fixed time.
  • To investigate the relationship between these two calculation methods.

Main Methods:

  • Derived closed-form solutions for reverberation at fixed range and fixed time.
  • Analyzed the two-way scattered multipath pulse envelope from a point scatterer.
  • Investigated solutions under isovelocity water conditions with Lambert's law and linear reflection loss.

Main Results:

  • The ratio of fixed-time to fixed-range reverberation solutions depends on propagation angle spread.
  • This ratio is maximal at intermediate ranges, influenced by the critical angle.
  • At short and long ranges, the ratio approaches unity, with mode-stripping affecting longer ranges.

Conclusions:

  • The study provides a more accurate framework for understanding and calculating underwater acoustic reverberation.
  • The findings highlight the importance of considering time-dependent effects in reverberation modeling.
  • The derived solutions offer improved insights into acoustic signal propagation and scattering in the ocean.