Refraction Coefficient Calculator

✖Distance Between Two Rays at Deepwater can be calculated using geometric relationships and wave theory principles. Wave rays are imaginary lines perpendicular to wave fronts.ⓘ Distance Between Two Rays at Deepwater [b₀]			+10% -10%
✖Distance Between Two Rays refers to the separation between two parallel rays of wave energy or light rays in a medium, often water.ⓘ Distance Between Two Rays [b]			+10% -10%

✖Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.ⓘ Refraction Coefficient [K_r]

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Formula

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Refraction Coefficient

Formula

`"K"_{"r"} = sqrt("b"_{"0"}/"b")`

Example

`"0.1"=sqrt("100m"/"10000m")`

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Refraction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)
K_r = sqrt(b₀/b)
This formula uses 1 Functions, 3 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

Refraction Coefficient - Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.
Distance Between Two Rays at Deepwater - (Measured in Meter) - Distance Between Two Rays at Deepwater can be calculated using geometric relationships and wave theory principles. Wave rays are imaginary lines perpendicular to wave fronts.
Distance Between Two Rays - (Measured in Meter) - Distance Between Two Rays refers to the separation between two parallel rays of wave energy or light rays in a medium, often water.

STEP 1: Convert Input(s) to Base Unit

Distance Between Two Rays at Deepwater: 100 Meter --> 100 Meter No Conversion Required
Distance Between Two Rays: 10000 Meter --> 10000 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_r = sqrt(b₀/b) --> sqrt(100/10000)

Evaluating ... ...

K_r = 0.1

STEP 3: Convert Result to Output's Unit

0.1 --> No Conversion Required

FINAL ANSWER

0.1 <-- Refraction Coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Shoaling, Refraction and Breaking » Refraction Coefficient

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Coastal Mean Depth)*(1+(2*Wave Number for Water Wave*Coastal Mean Depth/sinh(2*Wave Number for Water Wave*Coastal Mean Depth))))^-0.5

Shoaling Coefficient given Wave Celerity

Go Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))

Beach Slope given Breaking Wave and Wave Height at Breaking Point

Go Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)

Breaking Wave given wave height at Breaking Point

Go Breaking Wave = Beach Slope/sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)

Refraction Coefficient given Relative Change of Wave Height

Go Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)

Wave Height given Shoaling Coefficient and Refraction Coefficient

Go Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient

Refraction Coefficient

Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

Wave Height at Breaking Point given Breaking Wave and Wave Height at Breaking Point

Go Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point

Go Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2

Distance between Two Rays at General Point

Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Shoaling Coefficient in Shallow Water

Go Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)

Water Depth when Reduced Shoaling Coefficient in shallow Water

Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2

Deepwater Wavelength for Shoaling Coefficient in Shallow Water

Go Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean

Wave Length for Reduced Shoaling Coefficient in Shallow Water

Go Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2

Water Depth given Shoaling Coefficient in Shallow Water

Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4

Refraction Coefficient Formula

Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)
K_r = sqrt(b₀/b)

What does Shoaling Mean?

Shoaling is the deformation of incident waves on the lower shoreface that starts when the water depth becomes less than about half of the wavelength, causing the waves to become steeper: increase in amplitude and decrease in wavelength

How to Calculate Refraction Coefficient?

Refraction Coefficient calculator uses Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays) to calculate the Refraction Coefficient, The Refraction Coefficient is defined as the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow. Refraction Coefficient is denoted by K_r symbol.

How to calculate Refraction Coefficient using this online calculator? To use this online calculator for Refraction Coefficient, enter Distance Between Two Rays at Deepwater (b₀) & Distance Between Two Rays (b) and hit the calculate button. Here is how the Refraction Coefficient calculation can be explained with given input values -> 0.1 = sqrt(100/10000).

FAQ

What is Refraction Coefficient?

The Refraction Coefficient is defined as the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow and is represented as K_r = sqrt(b₀/b) or Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays). Distance Between Two Rays at Deepwater can be calculated using geometric relationships and wave theory principles. Wave rays are imaginary lines perpendicular to wave fronts & Distance Between Two Rays refers to the separation between two parallel rays of wave energy or light rays in a medium, often water.

How to calculate Refraction Coefficient?

The Refraction Coefficient is defined as the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow is calculated using Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays). To calculate Refraction Coefficient, you need Distance Between Two Rays at Deepwater (b₀) & Distance Between Two Rays (b). With our tool, you need to enter the respective value for Distance Between Two Rays at Deepwater & Distance Between Two Rays and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Refraction Coefficient?

In this formula, Refraction Coefficient uses Distance Between Two Rays at Deepwater & Distance Between Two Rays. We can use 1 other way(s) to calculate the same, which is/are as follows -

Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)

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