Jaime Frejlich

The book shows the potential of Optics and deeply analyzes the fundamentals of light combined with the bases of application in processing and registration of images.

Through illustrations and challenging examples, the book covers the main topics of study in the field, from classical subjects in propagation and polarization of light and geometric optics, up to complex issues in light interference, treatment of diffraction and holography.

The book also provides an introduction to propagation in anisotropic media and nonlinear optics and presents complementary texts on theoretical and practical issues such as alignment of lenses and photo detectors.

The work explores geometric optics, anchored in studies of matrices and diaphragms in optical systems; light propagation; vector nature of light; interference and coherence; diffraction and Fourier optics; holography and introduction to the theory of information; Optics in solids; Dirac Delta; Bernstein’s theorem; stochastic processes and other topics.

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About the authors

Jaime Frejlich

Jaime Frejlich graduated in Chemical Engineering from the Universidad de La República, Uruguay and obtained a doctorate in Physics and Optics from the Université Pierre et Marie Curie, Paris.

Author's CV.

1. Geometrical optics

1.1 Optical arrays

1.2 Diaphragm in optical systems

1.3 Problems

1.4 Illustrative experiment


2. Propagation of light

2.1 Harmonic waves

2.2 Electromagnetic waves

2.3 The Doppler Effect

2.4 Problems

2.5 Illustrative experiment


3. The vector nature of light

3.1 Maxwell’s equations: vector relationships

3.2 The Poynting vector

3.3 Polarization

3.4 Reflection and refraction

3.5 Problems

3.6 Illustrative experiment


4. Interference and coherence

4.1 Interference

4.2 Coherence and power spectrum

4.3 Examples

4.4 Analytical signal and the Fourier transform

4.5 Interference and multiple reflections in films and slides

4.6 Problems

4.7 Illustrative experiments


5. Diffraction and the Fourier Optics

5.1 Classical formalism

5.2 Scalar theory

5.3 Linear systems

5.4 Diffraction and the theory of linear systems

5.5 The Babinet’s theorem: complementary openings

5.6 Examples

5.7 Fourier transforming property of lenses‎

5.8 Problems

5.9 Illustrative experiments


6. Holography and introduction to information theory

6.1 Holography

6.2 Dynamic holography

6.3 Applications of holography

6.4 Information theory

6.5 Illustrative experiments


7. Solid-state optics

7.1 Propagation in anisotropic media

7.2 Examples

7.3 Nonlinear optics

7.4 Illustrative experiment


Appendix : additional theoretical and practical themes

A – The Dirac delta function

A.1 Dirac comb

A.2 Heaviside step function


B – The Fourier transform

B.1 Properties

B.2 Special functions

B.3 Uncertainty principle in the Fourier transform


C – The Bernstein’s theorem


D – The Whittaker-Shannon sampling theorem

D.1 Sampling

D.2 Information recovery

D.3 Information content

D.4 Considerations


E – Stochastic processes

E.1 Random variable

E.2 Stochastic processes


F – Alignment of lenses


G – The Michelson Interferometer

G.1 Instrument adjustment


H – Photodiodes

H.1 Operation regimen

H.2 Operational amplifiers


I – Light source

I.1 Incandescent filament light bulbs

I.2 Light-emitting diodes (LEDs)

I.3 Gas-filled tube: Na and Hg

I.4 Laser