Gradient-Index Optics

Fundamentals and Applications

By: C. Gomez-Reino, M.V. Perez, C. Bao

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Hardcover | 22 January 2002

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256 Pages

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23.5 x 15.88 x 2.54

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Gradient-Index (GRIN) optics provides a comprehensive and thorough treatment on fundamentals and applications of light propagation through inhomogeneous media. The book can be used both as a classroom text for students in physics and engineering and as a reference for specialists. A description of the phenomena, components and technology used in GRIN Optics are presented. The relationship to lenses, waveguides, optical connections, spatial solitons and vision is demonstrated. Applications of GRIN components and hybrid structures for optical connections, optical sensing and Talbot effect are analyzed.

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Light Propagation in GRIN Media	p. i
Introduction	p. 1
Vector Wave Equations	p. 1
Scalar Wave Equation	p. 4
Parabolic Wave Equation	p. 6
Ray Optics: Axial and Field Rays	p. 9
imaging and Transforming Transmission Through GRIN Media	p. 25
Introduction	p. 25
The Kernel Function	p. 25
Imaging and Fourier Transforming Through GRIN Media	p. 30
Fractional Fourier Transforming in GRIN Media	p. 33
Modal Representation of the Kernel	p. 37
GRIN Lenses for Uniform Illumination	p. 43
Introduction	p. 43
Transmittance Function of a GRIN Lens for Uniform Illumination	p. 43
GRIN Lens Law: Imaging and Fourier Transforming by GRIN Lens	p. 50
Geometical Opticsof GRIN Lenses	p. 56
Effective Radius, Numeical Aperture, Aperture Stop, and Pupils	p. 63
Diffraction-limited propagation of light inaGRIN lens	p. 71
Effect of the Aperture on Image and Fourier Transform Formation	p. 79
GRIN Lenses for Gaussian Illumination	p. 87
Introduction	p. 87
Propagation of Gaussian Beams in a GRIN Lens	p. 87
GRIN Lens Law: Image and Focal Shits	p. 97
Effective Aperture	p. 104
GRIN Media with Loss or Gain	p. 109
Introduction	p. 109
Active GRIN Mateials: Complex Reractive Index	p. 109
The Kernel Function	p. 111
Focal Distance and Focal Shit for Uniform Illumination	p. 113
Gaussian Illumination in an Active GRIN Medium: Beam Parameters.121
Transformation of a Gaussian Beam into a Uniform Beam	p. 123
Planar GRIN Media with Hyperbolic Secant Refractive index Profile	p. 127
Introduction	p. 127
Ray Equation and ABCD Law	p. 128
Focusing and Collimation Properties	p. 131
Numerical Aperture: On-Axis and Off-Axis Coupling	p. 140
Mode Propagation	p. 143
The Kernel Function	p. 148
Diffraction-Free and Diffraction-Limited Propagation of Light	p. 151
The Talbot Effect in GRIN Media	p. 163
Introduction	p. 163
Light Propagation and Imaging Condition	p. 164
The Integer Talbot Effect	p. 166
Self-Image Distances	p. 170
Fractional Talbot Effect: Unit Cell	p. 177
Effect of Off-Axis Source and Finite Object Dimension on Self- images	p. 182
GRIN Crystalline Lens	p. 189
Introduction	p. 189
The Optical Structure ofthe Human Eye	p. 190
The GRIN Model ofthe Crystalline Lens	p. 193
The Gradient Parameter: Axial and Field Rays in the Crystalline Lens	p. 198
Refractive Power and Cardinal Points ofthe Crystalline Lens	p. 203
Optical Connections by GRIN Lenses	p. 209
Introduction	p. 209
GRIN Fiber Lens	p. 209
Anamorphic Selfoc Lens	p. 212
Tapered GRIN Lens	p. 218
Selfoc Lens	p. 223
References	p. 231
Index	p. 239
Table of Contents provided by Publisher. All Rights Reserved.

Gradient-Index Optics

Fundamentals and Applications

At a Glance

Hardcover

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How to return your order

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