FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Spectral Bandwidth Formula

Fx Copy

LaTeX Copy

Spectral Bandwidth refers to the range of frequencies within a spectral line or band of electromagnetic radiation. Check FAQs

V = \sqrt{1 - (\frac{{m 2}^{2}}{m 0 \cdot m 4})}

V - Spectral Bandwidth?m₂ - Moment of Wave Spectrum 2?m₀ - Zero-th Moment of Wave Spectrum?m₄ - Moment of Wave Spectrum 4?

Spectral Bandwidth Example

With values

With units

Only example

Here is how the Spectral Bandwidth equation looks like with Values.

Here is how the Spectral Bandwidth equation looks like with Units.

Here is how the Spectral Bandwidth equation looks like.

0.9937 = \sqrt{1 - (\frac{{1.4}^{2}}{265 \cdot 0.59})}

0.9937m = \sqrt{1 - (\frac{{1.4}^{2}}{265 \cdot 0.59})}

0.9937 = \sqrt{1 - (\frac{{1.4}^{2}}{265 \cdot 0.59})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Spectral Bandwidth

Spectral Bandwidth Solution

Follow our step by step solution on how to calculate Spectral Bandwidth?

FIRST Step Consider the formula

V = \sqrt{1 - (\frac{{m 2}^{2}}{m 0 \cdot m 4})}

Next Step Substitute values of Variables

∴

V = \sqrt{1 - (\frac{{1.4}^{2}}{265 \cdot 0.59})}

Next Step Prepare to Evaluate

∴

V = \sqrt{1 - (\frac{{1.4}^{2}}{265 \cdot 0.59})}

Next Step Evaluate

∴

V = 0.993712243572184m

LAST Step Rounding Answer

∴

V = 0.9937m

Spectral Bandwidth Formula Elements

Variables

Functions

Spectral Bandwidth

Spectral Bandwidth refers to the range of frequencies within a spectral line or band of electromagnetic radiation.

Symbol: V

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Spectral Bandwidth

Moment of Wave Spectrum 2

Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.

Symbol: m₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Moment of Wave Spectrum 2

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.

Symbol: m₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Zero-th Moment of Wave Spectrum

Moment of Wave Spectrum 4

Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.

Symbol: m₄

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Moment of Wave Spectrum 4

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.

Syntax: sqrt(Number)

Other formulas in Wave Period Distribution and Wave Spectrum category

Go Probability Density of Wave Period

p = 2.7 \cdot (\frac{P^{3}}{T'}) \cdot \exp (- 0.675 \cdot {(\frac{P}{T'})}^{4})

Go Mean Zero-upcrossing Period

T' Z = 2 \cdot π \cdot \sqrt{\frac{m 0}{m 2}}

Go Mean Crest Period

T c = 2 \cdot π \cdot (\frac{m 2}{m 4})

Go Most Probable Maximum Wave Period

T max = 2 \cdot \frac{\sqrt{1 + v^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{v^{2}}{π} \cdot H^{2})}

How to Evaluate Spectral Bandwidth?

Spectral Bandwidth evaluator uses Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4))) to evaluate 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 evaluate Spectral Bandwidth using this online evaluator? To use this online evaluator 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.

FAQs on Spectral Bandwidth

What is the formula to find Spectral Bandwidth?

The formula of Spectral Bandwidth is expressed as Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4))). Here is an example- 0.993712 = sqrt(1-(1.4^2/(265*0.59))).

How to calculate Spectral Bandwidth?

With Moment of Wave Spectrum 2 (m₂), Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 4 (m₄) we can find Spectral Bandwidth using the formula - Spectral Bandwidth = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4))). This formula also uses Square Root (sqrt) function(s).

Can the Spectral Bandwidth be negative?

Yes, the Spectral Bandwidth, measured in Length can be negative.

Which unit is used to measure Spectral Bandwidth?

Spectral Bandwidth is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Spectral Bandwidth can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Spectral Bandwidth Formula

Spectral Bandwidth Example

Spectral Bandwidth Solution

Spectral Bandwidth Formula Elements

Other formulas in Wave Period Distribution and Wave Spectrum category

How to Evaluate Spectral Bandwidth?

FAQs on Spectral Bandwidth

Variable Name