02-07 Computer Simulation of Non-Fourier Holograms 国内外计算全息课间 PART I MATHEMATICAL PRELIMINARIES.pdfVIP

Part II: Chapter Seven Page 1 of 3 COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, August 23, 2004, 12:36 PM) PART II: CHAPTER SEVEN SIMULATION OF NON-FOURIER HOLOGRAMS Introduction In this chapter we consider the process of recording and reconstructing 3-D object information from a CGH. We will make the following simplifications for practicality. ! The first simplification is that wave propagation will be done in the parabolic approximation. ! The object structure will be modeled as lumped. ! We will begin by considering object internal scattering to obey the Born approximation. Later in the chapter we will relax this condition. We will consider perspective changes in viewing the 3-D image reconstructed from the CGH first by discussing stereo vision and then by investigating the effects of linear phase factors introduced in the simulated reconstruction of the CGHs. We begin by limiting our calculations to a simple two-plane system. The Two-Plane Self-Luminous Object The object we are considering is self luminous, propagation is in the Born approximation, and has the form u x, y, z u x, y, z =+z +u x, y, z −z ( ) ( ) ( ) 1 0 2 0 Propagation to the hologram is modeled as convolution with the pinhole wave, u x, y, z u x, y, z =+z ∗∗u x, y, z +z +u x, y, z −z ∗∗u x, y, z −z ( ) ( ) ( ) ( ) ( ) CGH 1 0 ph C