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Total Dispersion Formula

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Dispersion in optical fibers refers to the spreading of light pulses as they travel along the fiber. Check FAQs

t t = \sqrt{{t cd}^{2} + {t pmd}^{2} + {t mod}^{2}}

t_t - Dispersion?t_cd - Fiber Rise Time?t_pmd - Pulse Spreading Time?t_mod - Modal Dispersion Time?

Total Dispersion Example

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Here is how the Total Dispersion equation looks like with Values.

Here is how the Total Dispersion equation looks like with Units.

Here is how the Total Dispersion equation looks like.

320.7609 = \sqrt{{319.1}^{2} + {32.6}^{2} + {0.01}^{2}}

320.7609s = \sqrt{{319.1s}^{2} + {32.6s}^{2} + {0.01s}^{2}}

320.7609 = \sqrt{{319.1}^{2} + {32.6}^{2} + {0.01}^{2}}

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Total Dispersion Solution

Follow our step by step solution on how to calculate Total Dispersion?

FIRST Step Consider the formula

t t = \sqrt{{t cd}^{2} + {t pmd}^{2} + {t mod}^{2}}

Next Step Substitute values of Variables

∴

t t = \sqrt{{319.1s}^{2} + {32.6s}^{2} + {0.01s}^{2}}

Next Step Prepare to Evaluate

∴

t t = \sqrt{{319.1}^{2} + {32.6}^{2} + {0.01}^{2}}

Next Step Evaluate

∴

t t = 320.760923586399s

LAST Step Rounding Answer

∴

t t = 320.7609s

Total Dispersion Formula Elements

Variables

Functions

Dispersion

Dispersion in optical fibers refers to the spreading of light pulses as they travel along the fiber.

Symbol: t_t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Dispersion

Fiber Rise Time

Fiber Rise Time of a signal is essentially the time it takes for the signal to transition from a lower voltage level to a higher voltage level.

Symbol: t_cd

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Fiber Rise Time

Pulse Spreading Time

Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place.

Symbol: t_pmd

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Pulse Spreading Time

Modal Dispersion Time

Modal Dispersion Time is a type of dispersion that occurs in multimode fibers.

Symbol: t_mod

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Modal Dispersion Time

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 Fiber Optic Parameters category

Go Carrier to Noise Ratio

CNR = \frac{P car}{P rin + P shot + P the}

Go Fiber Length Given Time Difference

l = \frac{[c] \cdot t dif}{2 \cdot η core}

Go Refractive Index of Material Given Optical Power

η core = n 0 + n 2 \cdot (\frac{P i}{A eff})

Go Fourth Intermodulation Product in Four Wave Mixing

v ijk = v i + v j - v k

How to Evaluate Total Dispersion?

Total Dispersion evaluator uses Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2) to evaluate the Dispersion, Total Dispersion refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of, “Total Dispersion” refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of Modal Dispersion, Chromatic Dispersion and Polarization Mode Dispersion. Dispersion is denoted by t_t symbol.

How to evaluate Total Dispersion using this online evaluator? To use this online evaluator for Total Dispersion, enter Fiber Rise Time (t_cd), Pulse Spreading Time (t_pmd) & Modal Dispersion Time (t_mod) and hit the calculate button.

FAQs on Total Dispersion

What is the formula to find Total Dispersion?

The formula of Total Dispersion is expressed as Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2). Here is an example- 320.7609 = sqrt(319.1^2+32.6^2+0.01^2).

How to calculate Total Dispersion?

With Fiber Rise Time (t_cd), Pulse Spreading Time (t_pmd) & Modal Dispersion Time (t_mod) we can find Total Dispersion using the formula - Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2). This formula also uses Square Root (sqrt) function(s).

Can the Total Dispersion be negative?

No, the Total Dispersion, measured in Time cannot be negative.

Which unit is used to measure Total Dispersion?

Total Dispersion is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Total Dispersion can be measured.

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Total Dispersion Formula

Total Dispersion Example

Total Dispersion Solution

Total Dispersion Formula Elements

Other formulas in Fiber Optic Parameters category

How to Evaluate Total Dispersion?

FAQs on Total Dispersion

Variable Name