Spectral Bandwidth Calculator

✖Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.ⓘ Moment of Wave Spectrum 2 [m₂]			+10% -10%
✖Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.ⓘ Zero-th Moment of Wave Spectrum [m₀]			+10% -10%
✖Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.ⓘ Moment of Wave Spectrum 4 [m₄]			+10% -10%

✖Spectral Bandwidth refers to the range of frequencies within a spectral line or band of electromagnetic radiation.ⓘ Spectral Bandwidth [V]

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Spectral Bandwidth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4)))
V = sqrt(1-(m₂^2/(m₀*m₄)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Spectral Bandwidth - (Measured in Meter) - Spectral Bandwidth refers to the range of frequencies within a spectral line or band of electromagnetic radiation.
Moment of Wave Spectrum 2 - Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.
Zero-th Moment of Wave Spectrum - Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.
Moment of Wave Spectrum 4 - Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.

STEP 1: Convert Input(s) to Base Unit

Moment of Wave Spectrum 2: 1.4 --> No Conversion Required
Zero-th Moment of Wave Spectrum: 265 --> No Conversion Required
Moment of Wave Spectrum 4: 0.59 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(1-(m₂^2/(m₀*m₄))) --> sqrt(1-(1.4^2/(265*0.59)))

Evaluating ... ...

V = 0.993712243572184

STEP 3: Convert Result to Output's Unit

0.993712243572184 Meter --> No Conversion Required

FINAL ANSWER

0.993712243572184 ≈ 0.993712 Meter <-- Spectral Bandwidth

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Wave Period Distribution and Wave Spectrum Calculators

Most Probable Maximum Wave Period

LaTeX Go Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2))

Probability Density of Wave Period

LaTeX Go Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4)

Mean Zero-upcrossing Period

LaTeX Go Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)

Mean Crest Period

LaTeX Go Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4)

Spectral Bandwidth Formula

LaTeX Go

Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4)))
V = sqrt(1-(m₂^2/(m₀*m₄)))

What are the characteristics of progressive waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

What is the definition of wave spectrum?

Wave Spectrum is a concept used to describe the distribution of energy among waves of different period. Wave speed increases with wave length, so distant storms may be detected by the increase of energy in long period waves.

How to Calculate Spectral Bandwidth?

Spectral Bandwidth calculator uses Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4))) to calculate the Spectral Bandwidth, The Spectral Bandwidth fomrula is defined as the band width of light at one-half the peak maximum used to determine the narrowness of a wave spectra . Spectral Bandwidth is denoted by V symbol.

How to calculate Spectral Bandwidth using this online calculator? To use this online calculator for Spectral Bandwidth, enter Moment of Wave Spectrum 2 (m₂), Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 4 (m₄) and hit the calculate button. Here is how the Spectral Bandwidth calculation can be explained with given input values -> 0.993712 = sqrt(1-(1.4^2/(265*0.59))).

FAQ

What is Spectral Bandwidth?

The Spectral Bandwidth fomrula is defined as the band width of light at one-half the peak maximum used to determine the narrowness of a wave spectra and is represented as V = sqrt(1-(m₂^2/(m₀*m₄))) or Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4))). Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity, Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies & Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.

How to calculate Spectral Bandwidth?

The Spectral Bandwidth fomrula is defined as the band width of light at one-half the peak maximum used to determine the narrowness of a wave spectra is calculated using Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4))). To calculate Spectral Bandwidth, you need Moment of Wave Spectrum 2 (m₂), Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 4 (m₄). With our tool, you need to enter the respective value for Moment of Wave Spectrum 2, Zero-th Moment of Wave Spectrum & Moment of Wave Spectrum 4 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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