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Transparent Medium Phase Index: Phase refractive index Calculator

Transparent Medium Phase Index: Calculate phase refractive index from Phase speed in the medium. Check the formula, input units and worked result on this page.

Enter your values

m/s
Formula symbol: v. Required unit: m/s. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. This classical transparent-medium branch uses phase speed no greater than c = 299792458 m/s and n at least 1. Group velocity, absorbing media and anomalous dispersion are excluded.
Example result
Phase refractive index
2.66666667

The initial result uses the example values. Enter your own values and calculate again.

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How it works

Use transparent medium phase index with the units stated beside the fields. This form solves for phase refractive index; enter the known quantities in Phase speed in the medium.

Inputs and units
Transparent Medium Phase Index: Phase refractive index Calculator · Inputs and units
InputExample valueWhat to enter
Phase speed in the medium112,422,171.75 m/sFormula symbol: v. Required unit: m/s. Must be greater than zero.
n = (299792458 / v)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Phase speed in the medium
112,422,171.75 m/s

Complete example results

Phase refractive index
2.66666667

Reading the result

The result solves for phase refractive index from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the phase refractive index result?

This model uses positive magnitudes. This classical transparent-medium branch uses phase speed no greater than c = 299792458 m/s and n at least 1. Group velocity, absorbing media and anomalous dispersion are excluded.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org · nist.gov

Methods & accuracy

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