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# E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

## (Total Field at p) =

(Total Field at p) = Sinœ this is the total field solution. the goal in this section is to expand or reduœ as necescrary to obtain a geomtrical optic term and a dinraction term (segregateô) so that cornparison cauld k made with equations in section 2.1. F With a variable transformation t=& . the integral in equation 2.1 1 wÏll be: With another variable transfomration (I=-r, the same integral will be: If the lower Iimit of the integral is negative and since the fundion is symmetrical, the integral can be written as: Since [8][9] the Fresnel integral is >-~"dr =,@(y) O then the final integral will be:

If the lower limit of the integral in (2.12) is positive. the result will ôe: The following tables will show the integral ta be used according to the sign of its lower limit. +q) integrai equation Table 2.1 Co{"") integrai equation Table 2.2 -It -n. 2 O 9 +x wmv@3 6q 2.1 4 O WSitiW 2.13 positive eq 2.13 h R îrr 2 2 Zn negative eq 2.14 It L quite obvious that the integral formulation changes at the refiecfion shadow boundary and incident shadow boundary. This means that equation 2.13 includes a non continus terni existent for al1

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