The effect of the nuclear medium is considered in terms of an effectiv
e pion background field and a new way of evaluation is proposed. Namel
y, in the scattering of a kaon from a nucleon in the nuclear matter, t
he effect of the classical pion cloud is attributed to the individual
nucleon through a background field term u(x) in the extended Dirac equ
ation. By employing several ansatz for the pion field, the agreement b
etween the calculated result and experimental data is obtained.