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Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. Researchers and graduate students will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics.
Preliminary ToC: Optical Phase Space, Hamiltonian Systems and Lie Algebras.- Lie Groups of Optical Transformation.- The Paraxial Regime.- Hamiltonian Aberrations.
| Erscheinungsjahr: | 2004 |
|---|---|
| Fachbereich: | Elektrizität/Magnetismus/Optik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Theoretical and Mathematical Physics |
| Inhalt: |
xv
376 S. |
| ISBN-13: | 9783540220398 |
| ISBN-10: | 3540220399 |
| Sprache: | Englisch |
| Herstellernummer: | 10948286 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Wolf, Kurt Bernardo |
| Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Theoretical and Mathematical Physics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 26 mm |
| Von/Mit: | Kurt Bernardo Wolf |
| Erscheinungsdatum: | 21.07.2004 |
| Gewicht: | 0,758 kg |
Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. Researchers and graduate students will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics.
Preliminary ToC: Optical Phase Space, Hamiltonian Systems and Lie Algebras.- Lie Groups of Optical Transformation.- The Paraxial Regime.- Hamiltonian Aberrations.
| Erscheinungsjahr: | 2004 |
|---|---|
| Fachbereich: | Elektrizität/Magnetismus/Optik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Theoretical and Mathematical Physics |
| Inhalt: |
xv
376 S. |
| ISBN-13: | 9783540220398 |
| ISBN-10: | 3540220399 |
| Sprache: | Englisch |
| Herstellernummer: | 10948286 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Wolf, Kurt Bernardo |
| Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Theoretical and Mathematical Physics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 26 mm |
| Von/Mit: | Kurt Bernardo Wolf |
| Erscheinungsdatum: | 21.07.2004 |
| Gewicht: | 0,758 kg |
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