Abstract
This chapter deals with various topics related to computer holography. The topics include the viewing angle, space-bandwidth product problem, parallax, coding fringes, fringe frequencies, and higher-order images in computer holography. In particular, many examples of amplitude and phase coding are presented and discussed to create display CGHs. We also deal with novel and conventional techniques to remove the non-diffraction light and conjugate image in this chapter.
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Notes
- 1.
Note that fringe patterns do not always have the same sampling interval as the object field (see Sect. 8.8.3).
- 2.
This book was finalized in 2019.
- 3.
Analog HPO holograms such as a rainbow hologram is beyond the scope of this book. The reader is referred to [4].
- 4.
There are exceptions. For example, the technique of error diffusion is usually applicable to optimization even in HD-CGHs [138].
- 5.
Note that the object field is not completely the same as that of the original Venus created in 2009, because several new techniques, developed after making the first Venus, are reflected in its computation.
- 6.
The results in the following sections are not very affected by definition of the quantizer.
- 7.
All images of simulated reconstructions are produced with a standard encoding gamma of 1/2.2 in this book.
- 8.
This type of phase hologram is often called the kinoform.
- 9.
We also assume \(|O[x, y]| \simeq \mathrm {const}\).
- 10.
In practical programming, \(\tan ^{-1}(x)\) is commonly represented by atan(x). However, the return value of atan(x) is limited within interval \([-\pi /2,\pi /2]\) in general. Function atan2(y, x) instead of atan(x) must be used to obtain a value of \(\tan ^{-1}(x)\) in \([-\pi ,\pi ]\).
- 11.
This fact may be doubtful for the reader who studies CGHs as optical devices or digital holography using image sensors. Please remember that the CGH here is composed of more than 4 billion pixels because of the space-bandwidth product problem. The problem of quantization errors may vanish behind the large-scale freedom, as mentioned in Sect. 8.5. Moreover, the object field contains a lot of random values to emulate diffuse surfaces. These random values tend to obfuscate coarse quantization.
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Matsushima, K. (2020). Computer Holography. In: Introduction to Computer Holography. Series in Display Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-38435-7_8
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DOI: https://doi.org/10.1007/978-3-030-38435-7_8
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