NON-DESTRUCTIVE OPTICAL CHARACTERIZATION TOOLS: Spectral Interferometry Using Minimum-phase Functions

 
9783639104493: NON-DESTRUCTIVE OPTICAL CHARACTERIZATION TOOLS: Spectral Interferometry Using Minimum-phase Functions
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Fourier transform theory is one of the most widely used tools in physical sciences to retrieve vital information about various physical phenomena. In general, because a Fourier transform is a complex quantity, both its phase and magnitude are required for a unique representation of the function of interest. However, in many applications, only the magnitude of the Fourier transform can be measured, and a direct measurement of its phase is rather difficult. This constitutes a fundamental limitation in many fields, since the function of interest cannot be recovered uniquely from its Fourier transform magnitude measurement alone. In this book, a special family of functions, so called the minimum-phase functions, for which the Fourier transform phase can be recovered from the Fourier transform magnitude alone, is discussed. We apply this concept to several important fields of physics, and show in each case that with a simple magnitude spectrum measurement and data processing, we can recover the function of interest unambiguously. In all cases, this approach has led to significant breakthroughs, as well as simpler and faster measurements and processing.

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Prof. Aydogan Ozcan received his Ph.D degree at Stanford University Electrical Engineering (EE) Department in 2005. After a short post-doctoral fellowship at Stanford, he is appointed as a Faculty Member at Harvard Medical School in 2006. Dr. Ozcan joined UCLA EE Department in 2007, where he is currently leading the Bio & Nano-Photonics Laboratory.

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Book Description Condition: New. Publisher/Verlag: VDM Verlag Dr. Müller | Spectral Interferometry Using Minimum-phase Functions | Fourier transform theory is one of the most widelyused tools in physical sciences to retrieve vitalinformation about various physical phenomena. Ingeneral, because a Fourier transform is a complexquantity, both its phase and magnitude are requiredfor a unique representation of the function ofinterest. However, in many applications, only themagnitude of the Fourier transform can be measured,and a direct measurement of its phase is ratherdifficult. This constitutes a fundamental limitationin many fields, since the function of interest cannotbe recovered uniquely from its Fourier transformmagnitude measurement alone.In this book, a special family of functions, socalled the minimum-phase functions, for which theFourier transform phase can be recovered from theFourier transform magnitude alone, is discussed. Weapply this concept to several important fields ofphysics, and show in each case that with a simplemagnitude spectrum measurement and data processing,we can recover the function of interestunambiguously. In all cases, this approach has led tosignificant breakthroughs, as well as simpler andfaster measurements and processing. | Format: Paperback | Language/Sprache: english | 377 gr | 220x150x14 mm | 272 pp. Seller Inventory # K9783639104493

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Book Description VDM Verlag, Germany, 2008. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Fourier transform theory is one of the most widely used tools in physical sciences to retrieve vital information about various physical phenomena. In general, because a Fourier transform is a complex quantity, both its phase and magnitude are required for a unique representation of the function of interest. However, in many applications, only the magnitude of the Fourier transform can be measured, and a direct measurement of its phase is rather difficult. This constitutes a fundamental limitation in many fields, since the function of interest cannot be recovered uniquely from its Fourier transform magnitude measurement alone. In this book, a special family of functions, so called the minimum-phase functions, for which the Fourier transform phase can be recovered from the Fourier transform magnitude alone, is discussed. We apply this concept to several important fields of physics, and show in each case that with a simple magnitude spectrum measurement and data processing, we can recover the function of interest unambiguously. In all cases, this approach has led to significant breakthroughs, as well as simpler and faster measurements and processing. Seller Inventory # AAV9783639104493

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