Gradient-Index Optics

by Gomez-Reino, Carlos; Perez, M. V.; Bao, C.

• ISBN13: 9783540421252
• ISBN10: 3540421254
• Format: Hardcover
• Copyright: 2002-03-01
• Publisher: Springer Verlag

Summary

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.

Table of Contents

Light Propagation in GRIN Media	1	(24)
Introduction	1	(1)
Vector Wave Equations	1	(3)
Scalar Wave Equation	4	(2)
Parabolic Wave Equation	6	(3)
Ray Optics: Axial and Field Rays	9	(16)
Imaging and Transforming Transmission Through GRIN Media	25	(18)
Introduction	25	(1)
The Kernel Function	25	(5)
Imaging and Fourier Transforming Through GRIN Media	30	(3)
Fractional Fourier Transforming in GRIN Media	33	(4)
Modal Representation of the Kernel	37	(6)
GRIN Lenses for Uniform Illumination	43	(44)
Introduction	43	(1)
Transmittance Function of a GRIN Lens for Uniform Illumination	43	(7)
GRIN Lens Law: Imaging and Fourier Transforming by GRIN Lens	50	(6)
Geometrical Optics of GRIN Lenses	56	(7)
Effective Radius, Numerical Aperture, Aperture Stop, and Pupils	63	(8)
Diffraction-Limited Propagation of Light in a GRIN lens	71	(8)
Effect of the Aperture on Image and Fourier Transform Formation	79	(8)
GRIN Lenses for Gaussian Illumination	87	(22)
Introduction	87	(1)
Propagation of Gaussian Beams in a GRIN Lens	87	(10)
GRIN Lens Law: Image and Focal Shifts	97	(7)
Effective Aperture	104	(5)
GRIN Media with Loss or Gain	109	(18)
Introduction	109	(1)
Active GRIN Materials: Complex Refractive Index	109	(2)
The Kernel Function	111	(2)
Focal Distance and Focal Shift for Uniform Illumination	113	(8)
Gaussian Illumination in an Active GRIN Medium: Beam Parameters	121	(2)
Transformation of a Gaussian Beam into a Uniform Beam	123	(4)
Planar GRIN Media with Hyperbolic Secant Refractive Index Profile	127	(36)
Introduction	127	(1)
Ray Equation and ABCD Law	128	(3)
Focusing and Collimation Properties	131	(9)
Numerical Aperture: On--Axis and Off-Axis Coupling	140	(3)
Mode Propagation	143	(5)
The Kernel Function	148	(3)
Diffraction-Free and Diffraction-Limited Propagation of Light	151	(12)
The Talbot Effect in GRIN Media	163	(26)
Introduction	163	(1)
Light Propagation and Imaging Condition	164	(2)
The Integer Talbot Effect	166	(4)
Self-Image Distances	170	(7)
Fractional Talbot Effect: Unit Cell	177	(5)
Effect of Off-Axis Source and Finite Object Dimension on Self-Images	182	(7)
GRIN Crystalline Lens	189	(20)
Introduction	189	(1)
The Optical Structure of the Human Eye	190	(3)
The GRIN Model of the Crystalline Lens	193	(5)
The Gradient Parameter: Axial and Field Rays in the Crystalline Lens	198	(5)
Refractive Power and Cardinal Points of the Crystalline Lens	203	(6)
Optical Connections by GRIN Lenses	209	(22)
Introduction	209	(1)
GRIN Fiber Lens	209	(3)
Anamorphic Selfoc Lens	212	(6)
Tapered GRIN Lens	218	(5)
Selfoc Lens	223	(8)
References	231	(8)
Index	239