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3dB Pulse Broadening Formula

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3dB Pulse Broadening is the phenomenon where a well-defined pulse of light becomes broader or stretched out as it propagates through a medium or a transmission system. Check FAQs

τ 3dB = \frac{\sqrt{{τ o}^{2} - {τ i}^{2}}}{L 1}

τ_3dB - 3dB Pulse Broadening?τ_o - Optical Output Pulse?τ_i - Optical Input Pulse?L₁ - Length Of Cable?

3dB Pulse Broadening Example

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Here is how the 3dB Pulse Broadening equation looks like with Values.

Here is how the 3dB Pulse Broadening equation looks like with Units.

Here is how the 3dB Pulse Broadening equation looks like.

6.2669 = \frac{\sqrt{{12.6}^{2} - {0.3}^{2}}}{2.01}

6.2669dB/m = \frac{\sqrt{{12.6s}^{2} - {0.3s}^{2}}}{2.01m}

6.2669 = \frac{\sqrt{{12.6}^{2} - {0.3}^{2}}}{2.01}

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3dB Pulse Broadening Solution

Follow our step by step solution on how to calculate 3dB Pulse Broadening?

FIRST Step Consider the formula

τ 3dB = \frac{\sqrt{{τ o}^{2} - {τ i}^{2}}}{L 1}

Next Step Substitute values of Variables

∴

τ 3dB = \frac{\sqrt{{12.6s}^{2} - {0.3s}^{2}}}{2.01m}

Next Step Prepare to Evaluate

∴

τ 3dB = \frac{\sqrt{{12.6}^{2} - {0.3}^{2}}}{2.01}

Next Step Evaluate

∴

τ 3dB = 6.26687963439314dB/m

LAST Step Rounding Answer

∴

τ 3dB = 6.2669dB/m

3dB Pulse Broadening Formula Elements

Variables

Functions

3dB Pulse Broadening

3dB Pulse Broadening is the phenomenon where a well-defined pulse of light becomes broader or stretched out as it propagates through a medium or a transmission system.

Symbol: τ_3dB

Measurement: AttenuationUnit: dB/m

Note: Value should be greater than 0.

Formulas to find 3dB Pulse Broadening

Optical Output Pulse

Optical Output Pulse is the measurement of pulse width at output side.

Symbol: τ_o

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Optical Output Pulse

Optical Input Pulse

Optical Input Pulse is the measurement of the pulse widths at input side.

Symbol: τ_i

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Optical Input Pulse

Length Of Cable

Length Of Cable is the usually the measurement used to measure how long the cable is.

Symbol: L₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length Of Cable

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 Transmission Measurements category

Go Optical Attenuation

α dB = \frac{10}{L 1 - L 2} \cdot \log 10 (\frac{V 2}{V 1})

Go Absorption Loss

α abs = \frac{C \cdot T ∞}{P opt \cdot t c}

Go Time Constant of Calorimeter

t c = \frac{t 2 - t 1}{\ln (T ∞ - T t1) - \ln (T ∞ - T t2)}

Go Scattering Loss

α sc = (\frac{4.343 \cdot 10^{5}}{l}) \cdot (\frac{V sc}{V opt})

How to Evaluate 3dB Pulse Broadening?

3dB Pulse Broadening evaluator uses 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable) to evaluate the 3dB Pulse Broadening, 3dB Pulse Broadening refers to the phenomenon where an initially short and well-defined pulse of light or any other electromagnetic signal becomes broader or stretched out as it propagates through a medium or a transmission system. 3dB Pulse Broadening is denoted by τ_3dB symbol.

How to evaluate 3dB Pulse Broadening using this online evaluator? To use this online evaluator for 3dB Pulse Broadening, enter Optical Output Pulse (τ_o), Optical Input Pulse (τ_i) & Length Of Cable (L₁) and hit the calculate button.

FAQs on 3dB Pulse Broadening

What is the formula to find 3dB Pulse Broadening?

The formula of 3dB Pulse Broadening is expressed as 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable). Here is an example- 0.006298 = sqrt(12.6^2-0.3^2)/(2.01).

How to calculate 3dB Pulse Broadening?

With Optical Output Pulse (τ_o), Optical Input Pulse (τ_i) & Length Of Cable (L₁) we can find 3dB Pulse Broadening using the formula - 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable). This formula also uses Square Root Function function(s).

Can the 3dB Pulse Broadening be negative?

No, the 3dB Pulse Broadening, measured in Attenuation cannot be negative.

Which unit is used to measure 3dB Pulse Broadening?

3dB Pulse Broadening is usually measured using the Decibel per Meter[dB/m] for Attenuation. Neper per Meter[dB/m], Decibel per Kilometer[dB/m] are the few other units in which 3dB Pulse Broadening can be measured.

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3dB Pulse Broadening Formula

3dB Pulse Broadening Example

3dB Pulse Broadening Solution

3dB Pulse Broadening Formula Elements

Other formulas in Transmission Measurements category

How to Evaluate 3dB Pulse Broadening?

FAQs on 3dB Pulse Broadening

Variable Name