Preisendorfer, R.W.2005-09-102005-09-101976http://udspace.udel.edu/handle/19716/1575The 4th volume of a set of six volumes of the text on hydrologic optics provides detailed treatment on invariant imbedding techniques for light fields. Subjects presented are: differential equations governing the steady state R and T operators; differential equations governing the time dependent R and T operators; algebraic and analytic properties of the R and T operators; algebraic properties of the invariant imbedding operators ; analytic properties of the invariant imbedding operator special solution procedures for R(a,b) and T(a,b)in plane parallel media; method of modules for deep homogeneous media; method of semigroups for deep homogeneous media; method of groups for deep homogeneous media; method of groups for general optical media; homogeneity, isotropy and related properties of optical media; functional relations for media with internal sources; and invariant imbedding and integral transform techniques. (OEIS)10627707 bytesapplication/pdfen-USUnderwater lightTechnical Report