A theory for calculating the optical transmission of nanometric circular ap
ertures in a thick and perfectly conducting screen coated upon an optical f
ibre has been developed. The theory is intended for the study of near-field
probes and differs from other well known theories of radiation transmissio
n through subwavelength apertures in the fact that it includes an optical f
ibre, making possible to distinguish which part of energy passing through t
he aperture is effectively coupled in guided modes. In a scanning near-fiel
d optical microscope tip, only the guided modes will reach the photodetecto
r, and will contribute to the final readout. A numerical calculation for di
fferent fibre parameters, to show the dependence of the guided transmission
coefficient for the guided modes of the fibre, is presented. The agreement
of the theory with earlier calculations where the optical fibre is not inc
luded is emphasized.