Corrected Slope Distance for Refractive Index Calculator

✖Standard refractive index is the refractive index value for the air (for a wavelength equal to 589 nanometers). the typical value is 1.0003.ⓘ Standard Refractive Index [n_s]			+10% -10%
✖Refractive Index is a measure of how much a material can bend or slow down light passing through it compared to the speed of light in a vacuum.ⓘ Refractive Index [RI]			+10% -10%
✖Measured distance represents the distance of slope that is measured using any instrument which may or may not contain errors.ⓘ Measured Distance [D_m]			+10% -10%

✖Corrected Slope is the slope distance which is free from all the refractive index errors.ⓘ Corrected Slope Distance for Refractive Index [D_c]

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Corrected Slope Distance for Refractive Index

Formula

`"D"_{"c"} = ("n"_{"s"}/"RI")*"D"_{"m"}`

Example

`"135.4089m"=("1.9"/"1.333")*"95m"`

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Corrected Slope Distance for Refractive Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance
D_c = (n_s/RI)*D_m
This formula uses 4 Variables

Variables Used

Corrected Slope - (Measured in Meter) - Corrected Slope is the slope distance which is free from all the refractive index errors.
Standard Refractive Index - Standard refractive index is the refractive index value for the air (for a wavelength equal to 589 nanometers). the typical value is 1.0003.
Refractive Index - Refractive Index is a measure of how much a material can bend or slow down light passing through it compared to the speed of light in a vacuum.
Measured Distance - (Measured in Meter) - Measured distance represents the distance of slope that is measured using any instrument which may or may not contain errors.

STEP 1: Convert Input(s) to Base Unit

Standard Refractive Index: 1.9 --> No Conversion Required
Refractive Index: 1.333 --> No Conversion Required
Measured Distance: 95 Meter --> 95 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = (n_s/RI)*D_m --> (1.9/1.333)*95

Evaluating ... ...

D_c = 135.408852213053

STEP 3: Convert Result to Output's Unit

135.408852213053 Meter --> No Conversion Required

FINAL ANSWER

135.408852213053 ≈ 135.4089 Meter <-- Corrected Slope

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Surveying Formulas » Electromagnetic Distance Measurement » EDM Corrections » Corrected Slope Distance for Refractive Index

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 11 EDM Corrections Calculators

Barometric Pressure given Group Refractive Index

Go Barometric Pressure = ((Group Refractive Index-1)+(((11.27*10^-6*Partial Pressure of Water Vapour)/(273.15+Temperature in Celsius))))*((273.15+Temperature in Celsius)/(0.269578*(Group Refractive Index for Standard Condition-1)))

Group Refractive Index if Temperature and Humidity are different from Standard Values

Go Group Refractive Index = 1+((0.269578*(Group Refractive Index for Standard Condition-1)*Barometric Pressure)/(273.15+Temperature in Celsius))-((11.27/(273.15+Temperature in Celsius))*10^-6*Partial Pressure of Water Vapour)

IUCG Formula for Refractive Index

Go Group Refractive Index = 1+(0.000077624*Barometric Pressure/(273.15+Temperature in Celsius))-(((12.924/(273.15+Temperature in Celsius))+(371900/(273.15+Temperature in Celsius)^2))*10^-6*Partial Pressure of Water Vapour)

Essen and Froome Formula for Group Refractive Index

Go Group Refractive Index = 1+(77.624*Barometric Pressure*10^-6/(273.15+Temperature in Celsius))+((0.372/(273.15+Temperature in Celsius)^2)-(12.92*10^-6/(273.15+Temperature in Celsius)))*Partial Pressure of Water Vapour

Overall Standard Error

Go Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2)

Corrected Slope Distance for Refractive Index

Go Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance

Group Refractive Index at Standard Conditions

Go Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6

Temperature Difference given Partial Pressure

Go Temperature Change = (Saturated Vapor Pressure of Water-Partial Pressure of Water Vapour)/0.7

Partial Pressure of Water Vapour when Temperature Effects are Considered

Go Partial Pressure of Water Vapour = Saturated Vapor Pressure of Water-0.7*Temperature Change

Wave Velocity in Medium

Go Wave Velocity = Velocity in Vacuum/Refractive Index

Wave Velocity in Vacuum

Go Velocity in Vacuum = Wave Velocity*Refractive Index

Corrected Slope Distance for Refractive Index Formula

Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance
D_c = (n_s/RI)*D_m

Why is it Important to Correct for Atmospheric Refraction when measuring Distances?

It is important to correct for atmospheric refraction when measuring distances because it can cause errors in the measured distance, especially over long distances.

How to Calculate Corrected Slope Distance for Refractive Index?

Corrected Slope Distance for Refractive Index calculator uses Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance to calculate the Corrected Slope, The Corrected Slope Distance for Refractive Index formula is defined as the actual length of the slope free from all the refractive index-related errors. Corrected Slope is denoted by D_c symbol.

How to calculate Corrected Slope Distance for Refractive Index using this online calculator? To use this online calculator for Corrected Slope Distance for Refractive Index, enter Standard Refractive Index (n_s), Refractive Index (RI) & Measured Distance (D_m) and hit the calculate button. Here is how the Corrected Slope Distance for Refractive Index calculation can be explained with given input values -> 135.4089 = (1.9/1.333)*95.

FAQ

What is Corrected Slope Distance for Refractive Index?

The Corrected Slope Distance for Refractive Index formula is defined as the actual length of the slope free from all the refractive index-related errors and is represented as D_c = (n_s/RI)*D_m or Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance. Standard refractive index is the refractive index value for the air (for a wavelength equal to 589 nanometers). the typical value is 1.0003, Refractive Index is a measure of how much a material can bend or slow down light passing through it compared to the speed of light in a vacuum & Measured distance represents the distance of slope that is measured using any instrument which may or may not contain errors.

How to calculate Corrected Slope Distance for Refractive Index?

The Corrected Slope Distance for Refractive Index formula is defined as the actual length of the slope free from all the refractive index-related errors is calculated using Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance. To calculate Corrected Slope Distance for Refractive Index, you need Standard Refractive Index (n_s), Refractive Index (RI) & Measured Distance (D_m). With our tool, you need to enter the respective value for Standard Refractive Index, Refractive Index & Measured Distance 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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