LASER Wavelength in Air | Edlen Equation

	LASER Wavelength in Air
	Based on Modified Edlén Equation
	Date:


Assumptions

1. Homogeneous properties of air

Inputs

λ_V		nm	LASER wavelength in vacuum
T		°C	Air temperature
± T		°C	Temperature sensor measurement capability range
P		Torr	Air pressure
± P		Torr	Pressure sensor measurement capability range
H		%	Humidity
± H		%	Humidity sensor measurement capability range


Index of Refraction

n_a		-	Index of refraction of air at ambient conditions
n_s		-	Index of refraction of air at standard environmental conditions

LASER Wavelengths

λ_a		nm	LASER wavelength at ambient conditions
λ_s		nm	LASER wavelength at standard ambient conditions

Directions

These calculators are designed to resemble spreadsheet calculators that can be printed as reports for project recordkeeping. The term project, with regards to these calculators, may refer to an engineered design, homework problem, tutorial problem, hobby design or self-study. The workflow for each calculator is from top to bottom.

Enter the vacuum wavelength of the LASER.
Enter the temperature of the surrounding air.
Enter the temperature sensor measurement capability based on a rectangular distribution.
Enter the pressure of the surrounding air.
Enter the pressure sensor measurement capability based on a rectangular distribution.
Enther the humidity of the surrounding air.
Enter the humidty sensor measurement capability based on a rectangular distribution.
Press the calculate button.
Print a report for your project recordkeeping by pressing the print button.

Assumptions

Homogeneous poroperties of air

Equations

LASER Wavelength in Air at Ambient Conditions
$$\lambda_a = \frac{\lambda_V}{n_a}$$
Refractive Index of Air base on the Modified Edlén Equation
$$n = 1+3.83639 \times 10^{-7}P {{1+P\left(0.817-0.0133T\right)\times 10^{-6}}\over{1+0.003661T}}\\-5.607943\times10^{-8}H\\\times{{4.07869739+0.44301857T+0.00232093T^2+0.00045785T^3}\over{100}}$$

References

BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP, & OIML. (2008). Evaluation of measurement data—Guide to the expression of uncertainty in measurement.
Edlen, B. (1965). The Refractive Index of Air.
Fesperman, R. R., Donmez, M., & Moylan, S. P. (2010). Ultra-precision Linear Motion Metrology. Proceedings of the ASPE Summer Topical Meeting, 49, 103–108.
Holmes, M., & Mielke, S. L. (2004, October). Displacement Measuring Interferometry [Tutorial]. ASPE Annual Meeting.

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Background

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