Kai-Erik Peiponen

Water is the most important element for a life. Scientists have been doing thorough investigations on the properties of water while engineers have - ploited water in various industrial processes that aim at better optimization of the quality of industrial products. The knowledge of the physico-chemical properties of various liquids is extremely important in the ?eld of life s- ences. Recently, the study of liquids containing nanoparticles has been gr- ing,sincee. g. themoderndevelopmentofnewdrugsbybioa?nityassays,and drug delivery is based more and more on the exploitation of nanoparticles in liquid phase. Optical metrology in context of drugs development is becoming an important tool in high-throuhgput screening of potential molecules. - fortunately, process liquids in life sciences and in industrial environments are usually ”ill-behaving” and it is usually di?cult to monitor their condition. Fortunately,opticalsensingbasedonre?ectometrycanbeexploitedininsp- tion of the quality of transparent and turbid liquids. This book is exceptional in the sense that it introduces the theory and practical re?ectometry between same covers. We recommend this book for beginners and professionals who are doing research or working with a variety of liquids either in academic or engineering societies. The book is helpful for physicists, chemists and en- neers since it covers topics related to basic physics and optics, optical spectra analysis, optical metrology and practical building of re?ectometers. The authors wish to express their cordial thanks to Professor Rauno Aulaskari for helping in the formulation of Appendix B and to Dr. Chun Ye for his critical comments. We will also remember with warmth Mrs.

Water is the most important element for a life. Scientists have been doing thorough investigations on the properties of water while engineers have - ploited water in various industrial processes that aim at better optimization of the quality of industrial products. The knowledge of the physico-chemical properties of various liquids is extremely important in the ?eld of life s- ences. Recently, the study of liquids containing nanoparticles has been gr- ing,sincee. g. themoderndevelopmentofnewdrugsbybioa?nityassays,and drug delivery is based more and more on the exploitation of nanoparticles in liquid phase. Optical metrology in context of drugs development is becoming an important tool in high-throuhgput screening of potential molecules. - fortunately, process liquids in life sciences and in industrial environments are usually ”ill-behaving” and it is usually di?cult to monitor their condition. Fortunately,opticalsensingbasedonre?ectometrycanbeexploitedininsp- tion of the quality of transparent and turbid liquids. This book is exceptional in the sense that it introduces the theory and practical re?ectometry between same covers. We recommend this book for beginners and professionals who are doing research or working with a variety of liquids either in academic or engineering societies. The book is helpful for physicists, chemists and en- neers since it covers topics related to basic physics and optics, optical spectra analysis, optical metrology and practical building of re?ectometers. The authors wish to express their cordial thanks to Professor Rauno Aulaskari for helping in the formulation of Appendix B and to Dr. Chun Ye for his critical comments. We will also remember with warmth Mrs.

TheKramers-Kronigrelationsconstitutethemathematicalformulationofthe fundamental connection between the in-phase to the out-of-phase response of a system to a sinusoidal time-varying external perturbation. Such connection exists in both classical and quantum physical systems and derives directly from the principle of causality. Apart from being of great importance in high energy physics, statistical physics, and acoustics, at present the Kramers-Kronig relations are basic and widely-accepted tools for the investigation of the linear optical properties of materials, since they allow performing the so-called inversion of optical data, i.e. acquiring knowledge on dispersive phenomena by measurements of absorptive phenomena over the whole energy spectrum or vice versa. Since the late ’80s, a growing body of theoretical results as well as of experimental evidences has shown that the Kramers-Kronig relations can be adopted for e?ciently acquiring knowledge on nonlinear optical phenomena. These results suggest that the Kramers-Kronig relations may become in a near future standard techniques in the context of nonlinear spectroscopy. Thisbookisthe?rstcomprehensivetreatisedevotedtoprovidingauni- ing picture of the physical backgrounds, of the rigorous mathematical theory, and of the applications of the Kramers-Kronig relations in both ?elds of l- ear and nonlinear optical spectroscopy. Some basic programs written for the 1 MATLAB environment are also included. This book is organized as an argumentative discourse, progressing from the linear to the nonlinear phenomena, from the general to the speci?c s- tems, and from the theoretical to the experimental results.

TheKramers-Kronigrelationsconstitutethemathematicalformulationofthe fundamental connection between the in-phase to the out-of-phase response of a system to a sinusoidal time-varying external perturbation. Such connection exists in both classical and quantum physical systems and derives directly from the principle of causality. Apart from being of great importance in high energy physics, statistical physics, and acoustics, at present the Kramers-Kronig relations are basic and widely-accepted tools for the investigation of the linear optical properties of materials, since they allow performing the so-called inversion of optical data, i.e. acquiring knowledge on dispersive phenomena by measurements of absorptive phenomena over the whole energy spectrum or vice versa. Since the late ’80s, a growing body of theoretical results as well as of experimental evidences has shown that the Kramers-Kronig relations can be adopted for e?ciently acquiring knowledge on nonlinear optical phenomena. These results suggest that the Kramers-Kronig relations may become in a near future standard techniques in the context of nonlinear spectroscopy. Thisbookisthe?rstcomprehensivetreatisedevotedtoprovidingauni- ing picture of the physical backgrounds, of the rigorous mathematical theory, and of the applications of the Kramers-Kronig relations in both ?elds of l- ear and nonlinear optical spectroscopy. Some basic programs written for the 1 MATLAB environment are also included. This book is organized as an argumentative discourse, progressing from the linear to the nonlinear phenomena, from the general to the speci?c s- tems, and from the theoretical to the experimental results.

This book is devoted to dispersion theory in linear and nonlinear optics. Dispersion relations and methods of analysis in optical spectroscopy are derived with the aid of complex analysis. The book introduces the mathematical basis and derivations of various dispersion relations that are used in optical spectroscopy. In addition, it presents the dispersion theory of the nonlinear optical processes which are essential in modern optical spectroscopy. The book includes new methods such as the maximum entropy model for wavelength-dependent spectra analysis.

Devoted to novel optical measurement techniques that are applied both in industry and life sciences, this book contributes a fresh perspective on the development of modern optical sensors. These sensors are often essential in detecting and controlling parameters that are important for both industrial and biomedical applications. The book provides easy access for beginners wishing to gain familiarity with the innovations of modern optics.

Devoted to novel optical measurement techniques that are applied both in industry and life sciences, this book contributes a fresh perspective on the development of modern optical sensors. These sensors are often essential in detecting and controlling parameters that are important for both industrial and biomedical applications. The book provides easy access for beginners wishing to gain familiarity with the innovations of modern optics.

This book is devoted to dispersion theory in linear and nonlinear optics. Dispersion relations and methods of analysis in optical spectroscopy are derived with the aid of complex analysis. The book introduces the mathematical basis and derivations of various dispersion relations that are used in optical spectroscopy. In addition, it presents the dispersion theory of the nonlinear optical processes which are essential in modern optical spectroscopy. The book includes new methods such as the maximum entropy model for wavelength-dependent spectra analysis.