Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems. Lagrangian Optics - Vasudevan Lakshminarayanan, ghatak et.al - Sample Pages for your view.pdf......Page p0001.djvu SAVE0000.BMP......Page p0042.djvu SAVE0001.BMP......Page p0043.djvu SAVE0002.BMP......Page p0044.djvu SAVE0003.BMP......Page p0045.djvu SAVE0004.BMP......Page p0046.djvu SAVE0005.BMP......Page p0047.djvu SAVE0006.BMP......Page p0048.djvu SAVE0007.BMP......Page p0049.djvu Save.PDF......Page p0050.djvu Save0001.PDF......Page p0051.djvu Save0002.PDF......Page p0052.djvu Save0003.PDF......Page p0053.djvu Save0004.PDF......Page p0054.djvu Save0005.PDF......Page p0055.djvu Save0006.PDF......Page p0056.djvu Save0007.PDF......Page p0057.djvu Save0008.PDF......Page p0058.djvu Save0009.PDF......Page p0059.djvu Save0010.PDF......Page p0060.djvu Save0011.PDF......Page p0061.djvu SAVE0002.BMP......Page p0062.djvu SAVE0003.BMP......Page p0063.djvu SAVE0004.BMP......Page p0064.djvu SAVE0005.BMP......Page p0065.djvu SAVE0006.BMP......Page p0066.djvu SAVE0007.BMP......Page p0067.djvu SAVE0008.BMP......Page p0068.djvu SAVE0009.BMP......Page p0069.djvu SAVE0010.BMP......Page p0070.djvu SAVE0011.BMP......Page p0071.djvu SAVE0012.BMP......Page p0072.djvu SAVE0013.BMP......Page p0073.djvu SAVE0014.BMP......Page p0074.djvu SAVE0015.BMP......Page p0075.djvu SAVE0016.BMP......Page p0076.djvu SAVE0017.BMP......Page p0077.djvu SAVE0018.BMP......Page p0078.djvu SAVE0019.BMP......Page p0079.djvu SAVE0020.BMP......Page p0080.djvu SAVE0021.BMP......Page p0081.djvu SAVE0022.BMP......Page p0082.djvu SAVE0023.BMP......Page p0083.djvu SAVE0008.BMP......Page p0084.djvu SAVE0009.BMP......Page p0085.djvu SAVE0010.BMP......Page p0086.djvu SAVE0011.BMP......Page p0087.djvu SAVE0012.BMP......Page p0088.djvu SAVE0013.BMP......Page p0089.djvu SAVE0014.BMP......Page p0090.djvu SAVE0015.BMP......Page p0091.djvu SAVE0016.BMP......Page p0092.djvu SAVE0017.BMP......Page p0093.djvu SAVE0018.BMP......Page p0094.djvu SAVE0019.BMP......Page p0095.djvu SAVE0020.BMP......Page p0096.djvu SAVE0021.BMP......Page p0097.djvu SAVE0022.BMP......Page p0098.djvu SAVE0023.BMP......Page p0099.djvu SAVE0024.BMP......Page p0100.djvu SAVE0025.BMP......Page p0101.djvu SAVE0026.BMP......Page p0102.djvu Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays, ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems In geometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limit of the optical wavelength tending to zero. All of geometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics of particles and optics of light rays. In Lagrangian Optics, the authors begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations of optical systems. Toward the end of the book, applications of the formalism to current research problems are presented. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to optical problems.
in Geometrical Optics, Light Propagation Is Analyzed In Terms Of Light Rays Which Define The Path Of Propagation Of Light Energy In The Limit Of The Optical Wavelength Tending To Zero. All Of Geometric Optics Can Be Derived From Fermat's Principle Which Is An Extremum Principle. The Counterpart In Classical Mechanics Is Of Course Hamilton's Principle. There Is A Very Close Analogy Between Mechanics Of Particles And Optics Of Light Rays.
In Lagrangian Optics, The Authors Begin With Fermat's Principle And Obtain The Lagrangian And Hamiltonian Pictures Of Ray Propagation Through Various Media. Given The Current Interest And Activity In Optical Fibers And Optical Communication, Analysis Of Light Propagation In Inhomogeneous Media Is Dealt With In Great Detail. The Past Decade Has Witnessed Great Advances In Adaptive Optics And Compensation For Optical Aberrations. The Formalism Described Herein Can Be Used To Calculate Aberrations Of Optical Systems. Toward The End Of The Book, Applications Of The Formalism To Current Research Problems Are Presented. Of Particular Interest Is The Use Of Dynamic Programming Techniques Which Can Be Used To Handle Variational/extremum Problems. This Method Has Only Recently Been Applied To Optical Problems.
Variational principles are of great universality and play a major role in the description of natural phenomena.
