Light propagation in connection with communication by laser light is discussed. As a model of the field, with extension α and radius of curvature of wave surface l, u_A= α^-1 exp[ - (ρ²/2α²)+jk(ρ²/2l)], is chosen. The field u_p after propagation to distance Z is u_p = β^-1je^-iδ exp[- (r²/2β²)-jk (Z + γr²)].

The position of minimum extension β is not the ordinary focus because of the significant effect of diffraction by the aperture. By use of these results, the condition of α and l is analyzed in order to transfer the light with minimum loss over the distance D through a pipe with the linear dimension Φ, and the proper relay optical system is discussed.

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