Hi, I'm researching about dn/dT(Temperature coefficient of refractive index or Thermal coefficient of refractive index).
Can I calculate the refractive index just n+dn/dT*delta(T)?
Please any advice.
Thank you.
Yes, it is correct for small delta(T). But, as dn/dT also depends on T, this dependence will introduce an error in calculated value of n when delta(T) increases. It is the same as use linear approximation instead calculation of integral. To decide, is delta(T) small enough for correct linear approximation you must know the values of dn/dT within temperature range you consider.
Thank you.
I have another question about dn/dT.
Why people use dn/dT when we research about temperature dependence of a material ?
In my thought, the refractive index is better easy to understand and intuitive like attached image.
Thank you.
It depends on how detailed you want to describe the phase distortion. " n+dn/dT*delta(T) " works fine in the zeroth approximation. You can find more information from these articles:
Article Thermal Effects in a Nd:YAG Laser
Article Thermal Lensing in a Nd:YAG Laser Rod
Article On thermal effects in solid-state lasers: The case of ytterb...
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