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Updated: May 25, 2026

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
Published on: November 18, 2019
Spatial and temporal variations in vector fields
C Macías-Romero1, M R Foreman, P Török
1Imperial College London, London SW7 2BZ, UK. cm1105@ic.ac.uk
Abstract:
We introduce a new metric to characterise spatial variations occurring in a time varying vector field, and we derive a rotationally invariant formula that quantifies temporal fluctuations within a consistent framework. So as to highlight the physics behind these metrics, both are derived from a well-known experiment in polarimetry. The derivation yields a set of expressions in a two-dimensional space, which is subsequently expanded to n-dimensions for special cases. The resulting expressions of the temporal and spatial metrics are incorporated into the electromagnetic theory of coherence and polarisation. Examples are given in the context of single molecule detection when measuring asymmetrically and radially polarised beams.
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