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barkls avatar barkls commented on August 11, 2024

@jeromefung do you know how far away from the particle the near-field effects are significant?

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jeromefung avatar jeromefung commented on August 11, 2024

I'd have to look at my notes for details, but basically you need 1/(kz) to
be small because the radial dependence can be expanded in a series in
powers of 1/kr. Back-of-the envelope calculations for water and a 660 nm
laser give kz ~ 130 for z = 10 microns, at which point 1/kz is small but
higher-order contributions are not entirely negligible. Since we typically
operate at z ranging from several microns to several 10s of microns, the
default has been to model the full radial dependence.

I'm not sure if anyone ever did systematic, detailed studies of how far out
one in practice needs to go before the asymptotic limit is valid; almost
certainly not if kz < 100. I think in practice not including the full
radial dependence leads to an offset in the fitted value of z. But how much
one cares probably depends on the experiment -- in some cases a systematic
offset in fitted z values might not matter.

Jerome

On Fri, Aug 19, 2016 at 2:25 PM, barkls [email protected] wrote:

@jeromefung https://github.com/jeromefung do you know how far away from
the particle the near-field effects are significant?


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barkls avatar barkls commented on August 11, 2024

From Jerome's details it looks like we nearly always need the full calculation, so this isn't relevant.

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