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Principles of Biophotonics: Linear systems and the Fourier transform in optics aims to teach students, instructors and professionals the basis of optical techniques for biological investigation. It is a textbook for experimentalists who are active at the interface between biology, medicine and optics (i.e. biological optics, biomedical optics, biophotonics, etc), and presents the unifying optics principles employed in this broad and interdisciplinary field. In the format of a classical textbook, this work contains both the underlying theory of biological optics and applications to real laboratory problems via exercises and homework. While keeping mathematical rigor, the theory is presented with stress on the physical phenomena and heavy use of the linear systems approach and frequency domain representation. The book emphasizes the similarity between various techniques, thus reducing the number of governing concepts as much as possible. Part of IPEM–IOP Series in Physics and Engineering in Medicine and Biology.
Superposition principle
Linear systems
Spatial and temporal frequencies
1D Fourier transform
2D Fourier transform
3D Fourier transform
Complex signals
The uncertainty relation
Linear systems with random inputs
Fourier transform of vector-valued functions
The Laplace transform
Appendices
A Complex variables
B Vector algebra
C Useful trigonometric formulas
D Useful integrals