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Single Pass Phase Shift through Fabry-Perot Amplifier Formula

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The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass. Check FAQs

Φ = \frac{π \cdot (f - f o)}{δf}

Φ - Single-Pass Phase Shift?f - Frequency Of Incident Light?f_o - Fabry–Perot Resonant Frequency?δf - Free Spectral Range of Fabry-Pérot Interferometer?π - Archimedes' constant?

Single Pass Phase Shift through Fabry-Perot Amplifier Example

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Here is how the Single Pass Phase Shift through Fabry-Perot Amplifier equation looks like with Values.

Here is how the Single Pass Phase Shift through Fabry-Perot Amplifier equation looks like with Units.

Here is how the Single Pass Phase Shift through Fabry-Perot Amplifier equation looks like.

45.3114 = \frac{3.1416 \cdot (20 - 12.5)}{0.52}

45.3114rad = \frac{3.1416 \cdot (20Hz - 12.5Hz)}{0.52Hz}

45.3114 = \frac{3.1416 \cdot (20 - 12.5)}{0.52}

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Single Pass Phase Shift through Fabry-Perot Amplifier Solution

Follow our step by step solution on how to calculate Single Pass Phase Shift through Fabry-Perot Amplifier?

FIRST Step Consider the formula

Φ = \frac{π \cdot (f - f o)}{δf}

Next Step Substitute values of Variables

∴

Φ = \frac{π \cdot (20Hz - 12.5Hz)}{0.52Hz}

Next Step Substitute values of Constants

∴

Φ = \frac{3.1416 \cdot (20Hz - 12.5Hz)}{0.52Hz}

Next Step Prepare to Evaluate

∴

Φ = \frac{3.1416 \cdot (20 - 12.5)}{0.52}

Next Step Evaluate

∴

Φ = 45.3114325036989rad

LAST Step Rounding Answer

∴

Φ = 45.3114rad

Single Pass Phase Shift through Fabry-Perot Amplifier Formula Elements

Variables

Constants

Single-Pass Phase Shift

The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Single-Pass Phase Shift

Frequency Of Incident Light

Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency Of Incident Light

Fabry–Perot Resonant Frequency

Fabry–Perot resonant frequency is the frequency of a Fabry-Perot resonator. At these frequencies, light exhibits constructive interference after one round trip.

Symbol: f_o

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Fabry–Perot Resonant Frequency

Free Spectral Range of Fabry-Pérot Interferometer

Free Spectral Range of Fabry-Pérot Interferometer is the spacing in optical frequency or wavelength between two successive maxima or minima in the optical wave.

Symbol: δf

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Free Spectral Range of Fabry-Pérot Interferometer

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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How to Evaluate Single Pass Phase Shift through Fabry-Perot Amplifier?

Single Pass Phase Shift through Fabry-Perot Amplifier evaluator uses Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer to evaluate the Single-Pass Phase Shift, Single Pass Phase Shift through Fabry-Perot Amplifier is caused when the incident ray travels through the medium. This introduces a phase shift per unit length equal to the wavenumber. A Fabry-Perot Amplifier is a type of optical resonator that consists of two mirrors separated by a certain distance, containing an active medium with a refractive index. Single-Pass Phase Shift is denoted by Φ symbol.

How to evaluate Single Pass Phase Shift through Fabry-Perot Amplifier using this online evaluator? To use this online evaluator for Single Pass Phase Shift through Fabry-Perot Amplifier, enter Frequency Of Incident Light (f), Fabry–Perot Resonant Frequency (f_o) & Free Spectral Range of Fabry-Pérot Interferometer (δf) and hit the calculate button.

FAQs on Single Pass Phase Shift through Fabry-Perot Amplifier

What is the formula to find Single Pass Phase Shift through Fabry-Perot Amplifier?

The formula of Single Pass Phase Shift through Fabry-Perot Amplifier is expressed as Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer. Here is an example- 45.31143 = (pi*(20-12.5))/0.52.

How to calculate Single Pass Phase Shift through Fabry-Perot Amplifier?

With Frequency Of Incident Light (f), Fabry–Perot Resonant Frequency (f_o) & Free Spectral Range of Fabry-Pérot Interferometer (δf) we can find Single Pass Phase Shift through Fabry-Perot Amplifier using the formula - Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer. This formula also uses Archimedes' constant .

Can the Single Pass Phase Shift through Fabry-Perot Amplifier be negative?

Yes, the Single Pass Phase Shift through Fabry-Perot Amplifier, measured in Angle can be negative.

Which unit is used to measure Single Pass Phase Shift through Fabry-Perot Amplifier?

Single Pass Phase Shift through Fabry-Perot Amplifier is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Single Pass Phase Shift through Fabry-Perot Amplifier can be measured.

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Single Pass Phase Shift through Fabry-Perot Amplifier Formula

Single Pass Phase Shift through Fabry-Perot Amplifier Example

Single Pass Phase Shift through Fabry-Perot Amplifier Solution

Single Pass Phase Shift through Fabry-Perot Amplifier Formula Elements

Other formulas in Optical Detectors category

How to Evaluate Single Pass Phase Shift through Fabry-Perot Amplifier?

FAQs on Single Pass Phase Shift through Fabry-Perot Amplifier

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