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1 - Gaussian Optics and Uncertainty Principle

Published online by Cambridge University Press:  22 December 2022

Yaping Zhang
Affiliation:
Kunming University of Science and Technology, China
Ting-Chung Poon
Affiliation:
Virginia Polytechnic Institute and State University
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Summary

This chapter contains Gaussian optics and employs a matrix formalism to describe optical image formation through light rays. In optics, a ray is an idealized model of light. However, in a subsequent chapter, we will also see a matrix formalism can also be used to describe, for example, a Gaussian laser beam under diffraction through the wave optics approach. The advantage of the matrix formalism is that any ray can be tracked during its propagation though the optical system by successive matrix multiplications, which can be easily programmed on a computer. This is a powerful technique and is widely used in the design of optical element. In this chapter, some of the important concepts in resolution, depth of focus, and depth of field are also considered based on the ray approach.

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Chapter
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Publisher: Cambridge University Press
Print publication year: 2023

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References

1. Banerjee, P. P. and Poon, T.-C. (1991). Principles of Applied Optics. Irwin, Illinois.Google Scholar
2. Gerard, A. and Burch, J. M. (1975). Introduction to Matrix Methods in Optics. Wiley, New York.Google Scholar
3. Hecht, E. (2002). Optics, 4th ed., Addison Wesley, California.Google Scholar
4. Korpel, A. (1970). United State Patent (#3,614,310) Electrooptical Apparatus Employing a Hollow Beam for Translating an Image of an Object.Google Scholar
5. Poon, T.-C. (2007). Optical Scanning Holography with MATLAB®, Springer, New York.Google Scholar
6. Poon, T.-C. and Motamedi, M. (1987). “Optical/digital incoherent image processing for extended depth of field,” Applied Optics 26, pp. 4612–4615.CrossRefGoogle Scholar
7. Poon, T.-C. and Kim, T. (2018). Engineering Optics with MATLAB®, 2nd ed., World Scientific, New Jersey.Google Scholar

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