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Optical Scanning Holography with MATLAB® by Ting-Chung Poon

Posted On March 24, 2017 at 1:34 am by / Comments Off on Optical Scanning Holography with MATLAB® by Ting-Chung Poon

By Ting-Chung Poon

Optical scanning holography (OSH) is an rising niche with many strength novel functions, reminiscent of 3-D trend reputation, 3D microscopy, 3-D cryptography, and 3D optical distant sensing.

Optical Scanning Holography with MATLAB® introduces readers to the most recent advances of digital (or electronic) holography and succinctly covers the mandatory mathematical history and wave optics that pertain to Fourier optics and holography. The reader is guided via modeling of the idea and purposes using MATLAB®. Optical scanning holography is defined in a fashion that allows readers to start imposing their very own setups for novel OSH functions.

Optical Scanning Holography with MATLAB® involves tutorials (with quite a few MATLAB® examples in the course of the textual content) and study fabric, in addition to new principles and insights for graduate scholars, scientists, and engineers operating within the fields of Fourier optics, optical scanning imaging, and holography.

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Example text

We can re-write Eq. 3-15) as 45! B#  C # expÒ  45! ÐD  ÑÓ. #1 D #D <: ÐBß Cß DÑ œ Now, by considering the argument of the exponential function, we see that # C # by using the binomial expansion ÈB#  C#  D # ¸ D  B #D , we can write " 45! exp[  45! (B#  C #  D # ) # ] #1 D <: ÐBß Cß DÑ ¶ ¶ 45! expÐ  45! 3-16) where we have used D ¶ V in the less sensitive denominator. Eq. 3-16) corresponds to Eq. 2-13) for a diverging spherical wave. 5 Diffraction of a Plane Wave For a plane wave, we can write

2-2), we can describe the impulse response of the two-lens system, or the coherent point spread function (CPSF), as Wave Optics and Holography 45 2- ÐBß CÑ œ YBC š:ÐBß CÑ›º 5B œ5! BÎ0# 5Cœ5! CÎ0# œ TÐ 5! B 5! C ß Ñ. 4-8) :ÐBß CÑ is often called the pupil function of the system. We can see that the coherent PSF is given by the Fourier transform of the pupil function as shown in Eq. 4-8). By definition, the corresponding coherent transfer function is the Fourier transform of the coherent PSF: L- Ð5B ß 5C Ñ œ YBC š2- ÐBß CÑ› œ YBC šT Ð 5!

45! ÐB  C # ÑÓ expÒ #0 #1 0 42 Optical Scanning Holography with MATLAB ‚ ( ( >ÐBw ß Cw Ñexp Ò4 œ expÐ  45! 0 Ñ 5! C w 0 45!  45! 4-3) 5B œ5! BÎ0 5Cœ5! CÎ0 where B and C denote the transverse coordinates at D œ 0 . Hence, the complex field on the focal plane (D œ 0 Ñ is proportional to the Fourier 45 transform of >ÐBß CÑ, but has phase curvature term expÒ #0 ! Ð B#  C# ÑÓ. , the transparency is completely clear, then we have <: ÐBß Cß D œ 0 Ñ º $ ÐBß CÑ, which corresponds to the focusing of a plane wave by a lens, as discussed earlier.

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