# Download e-book for kindle: An introduction to the theory of multiply periodic functions by Henry Frederick Baker

By Henry Frederick Baker

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17). e. 36) we then find (see also [Ref. 71, Eqs. 21). Because the only remaining undetermined quantity is p, it will generally not be possible to assert the vanishing of 8(J? 9)8. , which describes the angular variation da. between PR and PR by use of a unit vector mperpendicular to k. Therefore, we use a connection between two surfaces, here the hologram and a unit sphere, which we discussed in Sect. 5. So we use the oblique projection (I is still the identity) _ I M = I - iflll ® ~ K. Fig. 8.

2 Small Modification of the Reference Source: Position of an Image Point In this section, we shall look at two cases of reconstruction similar to the ideal ones we have described in Sect. 2. Firstly, if the position and the wavelength of thc reconstruction source Qdiffers fittle from those of the reference source Q, the primary-image wave field forms a virtual image P very near to the object point source P. Second, if Q differs little from the conjugate of Q, the real image p* formed by the conjugate-image wave field is again near to P.

80) where the terms containing Z3 and higher are negligible. 2 Elements of Continuum Mechanics: The Kinematics of Deformation 27 if z is sufficiently small. 79, 80) will be useful in the investigation of the deformation beneath the surface of a body in Chap. 5. 2 Elements of Continuum Mechanics: The Kinematics of Deformation As was al ready mentioned in the Introduction, the purpose of this book is to show on the one hand how holographie interferometry may be used to determine the deformation of a body, and on the other hand how the principles of kinematics help to understand certain concepts in holography.