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Gradient-Index Optics : Fundamentals and Applications - Carlos Gomez-Reino

Gradient-Index Optics

Fundamentals and Applications

Hardcover Published: 22nd January 2002
ISBN: 9783540421252
Number Of Pages: 241

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This book provides a comprehensive and thorough treatment on fundamentals and applications of light propagation through inhomogeneous media. The authors present a description of the phenomena, components and technology used in GRIN Optics, and analyze various applications.

Light Propagation in GRIN Mediap. i
Introductionp. 1
Vector Wave Equationsp. 1
Scalar Wave Equationp. 4
Parabolic Wave Equationp. 6
Ray Optics: Axial and Field Raysp. 9
imaging and Transforming Transmission Through GRIN Mediap. 25
Introductionp. 25
The Kernel Functionp. 25
Imaging and Fourier Transforming Through GRIN Mediap. 30
Fractional Fourier Transforming in GRIN Mediap. 33
Modal Representation of the Kernelp. 37
GRIN Lenses for Uniform Illuminationp. 43
Introductionp. 43
Transmittance Function of a GRIN Lens for Uniform Illuminationp. 43
GRIN Lens Law: Imaging and Fourier Transforming by GRIN Lensp. 50
Geometical Opticsof GRIN Lensesp. 56
Effective Radius, Numeical Aperture, Aperture Stop, and Pupilsp. 63
Diffraction-limited propagation of light inaGRIN lensp. 71
Effect of the Aperture on Image and Fourier Transform Formationp. 79
GRIN Lenses for Gaussian Illuminationp. 87
Introductionp. 87
Propagation of Gaussian Beams in a GRIN Lensp. 87
GRIN Lens Law: Image and Focal Shitsp. 97
Effective Aperturep. 104
GRIN Media with Loss or Gainp. 109
Introductionp. 109
Active GRIN Mateials: Complex Reractive Indexp. 109
The Kernel Functionp. 111
Focal Distance and Focal Shit for Uniform Illuminationp. 113
Gaussian Illumination in an Active GRIN Medium: Beam Parameters.121
Transformation of a Gaussian Beam into a Uniform Beamp. 123
Planar GRIN Media with Hyperbolic Secant Refractive index Profilep. 127
Introductionp. 127
Ray Equation and ABCD Lawp. 128
Focusing and Collimation Propertiesp. 131
Numerical Aperture: On-Axis and Off-Axis Couplingp. 140
Mode Propagationp. 143
The Kernel Functionp. 148
Diffraction-Free and Diffraction-Limited Propagation of Lightp. 151
The Talbot Effect in GRIN Mediap. 163
Introductionp. 163
Light Propagation and Imaging Conditionp. 164
The Integer Talbot Effectp. 166
Self-Image Distancesp. 170
Fractional Talbot Effect: Unit Cellp. 177
Effect of Off-Axis Source and Finite Object Dimension on Self- imagesp. 182
GRIN Crystalline Lensp. 189
Introductionp. 189
The Optical Structure ofthe Human Eyep. 190
The GRIN Model ofthe Crystalline Lensp. 193
The Gradient Parameter: Axial and Field Rays in the Crystalline Lensp. 198
Refractive Power and Cardinal Points ofthe Crystalline Lensp. 203
Optical Connections by GRIN Lensesp. 209
Introductionp. 209
GRIN Fiber Lensp. 209
Anamorphic Selfoc Lensp. 212
Tapered GRIN Lensp. 218
Selfoc Lensp. 223
Referencesp. 231
Indexp. 239
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540421252
ISBN-10: 3540421254
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 241
Published: 22nd January 2002
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.19