Helmholtz Hodge decomposition of scalar optical fields

Monika Bahl, P. Senthilkumaran
2012 Optical Society of America. Journal A: Optics, Image Science, and Vision  
It is shown that the vector field decomposition method, namely, the Helmholtz Hodge decomposition, can also be applied to analyze scalar optical fields that are ubiquitously present in interference and diffraction optics. A phase gradient field that depicts the propagation and Poynting vector directions can hence be separated into solenoidal and irrotational components.
doi:10.1364/josaa.29.002421 pmid:23201805 fatcat:7lgfl26mhvd7tdx27gk535omse