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►►►Figure 7.3.3: Fresnelintegrals
and , .
Magnify►►►Figure 7.3.4:
, .
Fresnel (1818) introduced the integral
in his study of the interference pattern at the edge of a shadow.
He observed that the intensity distribution is given by .
Magnify
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►Unless otherwise noted, primes indicate derivatives with respect to the argument.
►The main functions treated in this chapter are the error function ; the complementary error functions and ; Dawson’s integral
; the Fresnelintegrals
, , and ; the Goodwin–Staton integral
; the repeated integrals of the complementary error function ; the Voigt functions and .
►Alternative notations are , , , , , , , .
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