“…With the help of the optical reciprocity theorem 27,28 formula (8) may be rewritten in the form 24 P(t)=fd3rfd2kifdt1 QT(r, -k, t')L(r, k, t-t')= (9) _afd3Jd2k±Jd2ki±JdliL(r k, t-l')L(r, k, () 13_(kk') with Q from (7) and forward-propagating radiance field L, caused by "fictitious" radiation source with the spatial, angular and temporal characteristics just equal to those of lidar receiver. Assuming the receiver FOV to be sufficiently narrow to ensure the applicability of the small-angle approximation for radiance L, the latter may be divided into the two components, L and L,, analogous to Then L is the solution for problem (4) with the boundary condition L(r1, k, t') I Z-Zo = Lo(r1, k, t')I =z, k 1, and L, satisfies equation (5) with L instead of L. So, fmally, we derive Note that due to the approximation used to come to expression (12), the dependence of an optically contrast layer detectability on lidar system FOV is neglected.…”