Author: Gregory J. Gbur
Publisher: Cambridge University Press
ISBN: 1139492691
Category : Science
Languages : en
Pages : 819
Book Description
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.
Mathematical Methods for Optical Physics and Engineering
Author: Gregory J. Gbur
Publisher: Cambridge University Press
ISBN: 1139492691
Category : Science
Languages : en
Pages : 819
Book Description
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.
Publisher: Cambridge University Press
ISBN: 1139492691
Category : Science
Languages : en
Pages : 819
Book Description
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.
Mathematical Optics
Author: Vasudevan Lakshminarayanan
Publisher: CRC Press
ISBN: 143986960X
Category : Science
Languages : en
Pages : 632
Book Description
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
Publisher: CRC Press
ISBN: 143986960X
Category : Science
Languages : en
Pages : 632
Book Description
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
Mathematical Methods in Science and Engineering
Author: Masud Mansuripur
Publisher:
ISBN: 9781516577088
Category :
Languages : en
Pages : 348
Book Description
Mathematical Methods in Science and Engineering: Applications in Optics and Photonics helps students build a conceptual appreciation for critical mathematical methods, as well as the physical feel and intuition for select mathematical ideas. Throughout the text, examples are provided from the field of optics and photonics to clarify key concepts. The book features 13 targeted chapters that begin with a brief introduction to the topical area and then dive direc
Publisher:
ISBN: 9781516577088
Category :
Languages : en
Pages : 348
Book Description
Mathematical Methods in Science and Engineering: Applications in Optics and Photonics helps students build a conceptual appreciation for critical mathematical methods, as well as the physical feel and intuition for select mathematical ideas. Throughout the text, examples are provided from the field of optics and photonics to clarify key concepts. The book features 13 targeted chapters that begin with a brief introduction to the topical area and then dive direc
Methods in Theoretical Quantum Optics
Author: Stephen Barnett
Publisher: Oxford University Press
ISBN: 9780198563617
Category : Mathematics
Languages : en
Pages : 302
Book Description
This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the main purpose of the text is to give a firm grounding in those techniques needed to derive analytical solutions to problems.
Publisher: Oxford University Press
ISBN: 9780198563617
Category : Mathematics
Languages : en
Pages : 302
Book Description
This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the main purpose of the text is to give a firm grounding in those techniques needed to derive analytical solutions to problems.
Mathematical Methods for Physics and Engineering
Author: Kenneth Franklin Riley
Publisher:
ISBN:
Category :
Languages : en
Pages : 1008
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 1008
Book Description
Basic Training in Mathematics
Author: R. Shankar
Publisher: Springer
ISBN: 1489967982
Category : Science
Languages : en
Pages : 371
Book Description
Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.
Publisher: Springer
ISBN: 1489967982
Category : Science
Languages : en
Pages : 371
Book Description
Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.
Introduction to Matrix Methods in Optics
Author: Anthony Gerrard
Publisher: Courier Corporation
ISBN: 9780486680446
Category : Science
Languages : en
Pages : 382
Book Description
Clear, accessible guide requires little prior knowledge and considers just two topics: paraxial imaging and polarization. Lucid discussions of paraxial imaging properties of a centered optical system, optical resonators and laser beam propagation, matrices in polarization optics and propagation of light through crystals, much more. 60 illustrations. Appendixes. Bibliography.
Publisher: Courier Corporation
ISBN: 9780486680446
Category : Science
Languages : en
Pages : 382
Book Description
Clear, accessible guide requires little prior knowledge and considers just two topics: paraxial imaging and polarization. Lucid discussions of paraxial imaging properties of a centered optical system, optical resonators and laser beam propagation, matrices in polarization optics and propagation of light through crystals, much more. 60 illustrations. Appendixes. Bibliography.
Introduction to Modern Optics
Author: Grant R. Fowles
Publisher: Courier Corporation
ISBN: 048613492X
Category : Science
Languages : en
Pages : 356
Book Description
A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.
Publisher: Courier Corporation
ISBN: 048613492X
Category : Science
Languages : en
Pages : 356
Book Description
A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.
Physics of Light and Optics (Black & White)
Author: Michael Ware
Publisher: Lulu.com
ISBN: 1312929278
Category : Electromagnetic waves
Languages : en
Pages : 350
Book Description
Publisher: Lulu.com
ISBN: 1312929278
Category : Electromagnetic waves
Languages : en
Pages : 350
Book Description
Field Mathematics for Electromagnetics, Photonics, and Materials Science
Author: Bernard Maxum
Publisher: SPIE Press
ISBN: 9780819455239
Category : Mathematics
Languages : en
Pages : 278
Book Description
The primary objective of this book is to offer a review of vector calculus needed for the physical sciences and engineering. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable at the undergraduate level.
Publisher: SPIE Press
ISBN: 9780819455239
Category : Mathematics
Languages : en
Pages : 278
Book Description
The primary objective of this book is to offer a review of vector calculus needed for the physical sciences and engineering. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable at the undergraduate level.