Download PDF by C. J. Ball and G. E. Bacon (Auth.): An Introduction to the Theory of Diffraction

By C. J. Ball and G. E. Bacon (Auth.)

ISBN-10: 0080157866

ISBN-13: 9780080157863

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Half-period zones. 4. 4a. Forward scattering Consider a spherical wave φ = (a0/r) exp [2ni(kr — vt)] from a source S incident on an infinite plane of atoms. SP is normal to the plane of atoms (Fig. 5). Let there be η atoms per unit area in the plane. Each will give rise to a scattered wave whose amplitude at a distance r' will be given by , φ = φ0af(Θ)/r , where φ0 is the amplitude of the incident wave and a f (θ) is the scattering power of the atom, which will depend on the nature of the incident radiation.

Two-dimensional Diffraction 53 In Fig. 10 a plane parallel beam of light is incident normally on a screen in which there is an aperture : we wish to determine the intensity in some arbitrary direction specified by the angles θ and φ. A general method of doing this is as follows: take Cartesian axes x, y and ζ with the x-axis parallel to the incident beam direction and the j - a x i s in the plane defined by the x-axis and the direction in which we wish to determine the intensity. The phase difference between wavelets from Incident plane wave F I G .

30 Theory of Diffraction With this modification the analysis is the same as before, so eq. 3) still applies but with sin θ replaced by (sin Θ — sin θ') in the expressions for β and γ. If θ' is small the effect is simply to displace the diffraction pattern by an angle θ'/cos θ to higher or lower values of Θ, depending on the sign οΐθ'. 6c. Resolving power The resolving power of a grating is a measure of its ability to show as separate two spectral lines in the same source whose wavelengths are nearly the same.

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An Introduction to the Theory of Diffraction by C. J. Ball and G. E. Bacon (Auth.)

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