Passband Ripple Calculator

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C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

Transmission Measurements

✖Resistance 1 is used in Two-Way application in optical fibers.ⓘ Resistance 1 [R₁]			+10% -10%
✖Resistance 2 is used in Two-Way application in optical fibers.ⓘ Resistance 2 [R₂]			+10% -10%
✖Single Pass Gain refers to the fractional increase in energy as light makes a single pass through a medium.ⓘ Single Pass Gain [G_s]			+10% -10%

✖Passband Ripple is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter.ⓘ Passband Ripple [ΔG]

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Formula

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Passband Ripple

Formula

`"ΔG" = ((1+sqrt("R"_{"1"}*"R"_{"2"})*"G"_{"s"})/(1-sqrt("R"_{"1"}*"R"_{"2"})*"G"_{"s"}))^2`

Example

`"1.032651"=((1+sqrt("0.05Ω"*"0.31Ω")*"1000.01")/(1-sqrt("0.05Ω"*"0.31Ω")*"1000.01"))^2`

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Passband Ripple Solution

STEP 0: Pre-Calculation Summary

Formula Used

Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2
ΔG = ((1+sqrt(R₁*R₂)*G_s)/(1-sqrt(R₁*R₂)*G_s))^2
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

Passband Ripple - Passband Ripple is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter.
Resistance 1 - (Measured in Ohm) - Resistance 1 is used in Two-Way application in optical fibers.
Resistance 2 - (Measured in Ohm) - Resistance 2 is used in Two-Way application in optical fibers.
Single Pass Gain - Single Pass Gain refers to the fractional increase in energy as light makes a single pass through a medium.

STEP 1: Convert Input(s) to Base Unit

Resistance 1: 0.05 Ohm --> 0.05 Ohm No Conversion Required
Resistance 2: 0.31 Ohm --> 0.31 Ohm No Conversion Required
Single Pass Gain: 1000.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔG = ((1+sqrt(R₁*R₂)*G_s)/(1-sqrt(R₁*R₂)*G_s))^2 --> ((1+sqrt(0.05*0.31)*1000.01)/(1-sqrt(0.05*0.31)*1000.01))^2

Evaluating ... ...

ΔG = 1.03265085613684

STEP 3: Convert Result to Output's Unit

1.03265085613684 --> No Conversion Required

FINAL ANSWER

1.03265085613684 ≈ 1.032651 <-- Passband Ripple

(Calculation completed in 00.004 seconds)

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Credits

Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

Vaidehi Singh has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 17 C-V Actions of Optics Transmission Calculators

Noise Equivalent Power

Go Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)

Passband Ripple

Go Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2

ASE Noise Power

Go ASE Noise Power = Mode Number*Spontaneous Emission Factor*(Single Pass Gain-1)*([hP]*Frequency Of Incident Light)*Post Detection Bandwidth

Noise Figure given ASE Noise Power

Go Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth))

Output Photo Current

Go Photocurrent = Quantum Efficiency*Incident Optical Power*[Charge-e]/([hP]*Frequency Of Incident Light)

Peak Parametric Gain

Go Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length))

Responsivity with reference of Wavelength

Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c])

Total Shot Noise

Go Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))

Responsivity in relation to Photon Energy

Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)

Thermal Noise Current

Go Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity

Gain Coefficient

Go Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient

Junction Capacitance of Photodiode

Go Junction Capacitance = Permittivity of Semiconductor*Junction Area/Depletion Layer Width

Dark Current Noise

Go Dark Current Noise = 2*Post Detection Bandwidth*[Charge-e]*Dark Current

Load Resistor

Go Load Resistance = 1/(2*pi*Post Detection Bandwidth*Capacitance)

Optical Gain of Phototransistor

Go Optical Gain of Phototransistor = Quantum Efficiency*Common Emitter Current Gain

PhotoConductive Gain

Go PhotoConductive Gain = Slow Carrier Transit Time/Fast Carrier Transit Time

Responsivity of Photodetector

Go Responsivity of Photodetector = Photocurrent/Incident Power

Passband Ripple Formula

Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2
ΔG = ((1+sqrt(R₁*R₂)*G_s)/(1-sqrt(R₁*R₂)*G_s))^2

What are effects of Passband Ripple on optical signal?

Passband ripple refers to the fluctuations in gain that occur within the passband of a filter. These ripples are typically the result of the filter’s imperfect response to signals within its passband. Passband ripple can cause some frequencies in the passband to be amplified and others to be attenuated. This can lead to distortion of the optical signal as it passes through the filter. High levels of passband ripple can degrade the quality of the signal, potentially leading to errors in data transmission.

How to Calculate Passband Ripple?

Passband Ripple calculator uses Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2 to calculate the Passband Ripple, The Passband Ripple, often denoted as ΔG, is also known as gain undulation or the peak-trough ratio of the passband ripple, which is defined as the difference between the resonant and non-resonant signal gain. It is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter. Passband Ripple is denoted by ΔG symbol.

How to calculate Passband Ripple using this online calculator? To use this online calculator for Passband Ripple, enter Resistance 1 (R₁), Resistance 2 (R₂) & Single Pass Gain (G_s) and hit the calculate button. Here is how the Passband Ripple calculation can be explained with given input values -> 1.032651 = ((1+sqrt(0.05*0.31)*1000.01)/(1-sqrt(0.05*0.31)*1000.01))^2.

FAQ

What is Passband Ripple?

The Passband Ripple, often denoted as ΔG, is also known as gain undulation or the peak-trough ratio of the passband ripple, which is defined as the difference between the resonant and non-resonant signal gain. It is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter and is represented as ΔG = ((1+sqrt(R₁*R₂)*G_s)/(1-sqrt(R₁*R₂)*G_s))^2 or Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2. Resistance 1 is used in Two-Way application in optical fibers, Resistance 2 is used in Two-Way application in optical fibers & Single Pass Gain refers to the fractional increase in energy as light makes a single pass through a medium.

How to calculate Passband Ripple?

The Passband Ripple, often denoted as ΔG, is also known as gain undulation or the peak-trough ratio of the passband ripple, which is defined as the difference between the resonant and non-resonant signal gain. It is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter is calculated using Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2. To calculate Passband Ripple, you need Resistance 1 (R₁), Resistance 2 (R₂) & Single Pass Gain (G_s). With our tool, you need to enter the respective value for Resistance 1, Resistance 2 & Single Pass Gain 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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