Any suggestions for implementing parametric unit conversions?

General Usage
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I have the following table of unit conversions for wave attenuation rates.

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For example,

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The unitless quantity (units of “1”) is known as the loss tangent.

In the spirit of Unitful.jl and/or DynamicQuantities.jl or other unit-handling implementations, what are your guys’ thoughts on how to best implement the above conversion equations?

Some implementation pointers:

  • I wasn’t sure how to implement a “new” unit named “wavelength” by symbol λ, not being “equal” to anything currently existing (re Unitful.@unit).

  • The conversion from e.g. dB/λ to Np/m involves the two components of conversion from dB to Np and from /λ to /m. My above “in the spirit of” refers to leveraging the fact that we can implement those two components individually, and hopefully the general implementation gets the conversion from dB/λ to Np/m for “free” by internally automatically knowing to call the two component implementations. (That was poorly worded, sorry.)

  • I assume handling the dimensionless attenuation rate (unit “1”) would be tricky.

Am I unable to extend on Unitful.jl and/or DynamicQuantities.jl?

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