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Optical imaging and aberrations. Part 1, Ray geometrical optics /

This book discusses the characteristics of a diffraction image of an incoherent or a coherent object formed by an aberrated imaging system. Numerical results in aberrated imaging have been emphasized to maximize the practical use of the material. This new, second printing includes a number of update...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mahajan, Virendra N.
Autor Corporativo: Society of Photo-Optical Instrumentation Engineers
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bellingham, Wash. : SPIE, 1998.
Colección:SPIE Press monograph ; PM45.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Chapter 1: Gaussian optics
  • Introduction
  • Foundations of geometrical optics
  • Fermat's principle
  • Laws of geometrical optics
  • Optical path lengths of neighboring rays
  • Malus-Dupin theorem
  • Hamilton's point characteristic function and direction of a ray
  • Gaussian imaging
  • Introduction
  • Sign convention
  • Spherical refracting surface
  • Gaussian imaging equation
  • Focal lengths and refracting power
  • Magnifications and Lagrange invariant
  • Graphical imaging
  • Newtonian imaging equation
  • Thin lens
  • Gaussian imaging equation
  • Focal lengths and refracting power
  • Undeviated ray
  • Magnifications and Lagrange invariant
  • Newtonian imaging equation
  • Refracting systems
  • Cardinal points and planes
  • Gaussian imaging, focal lengths, and magnifications
  • Nodal points
  • Newtonian imaging equation
  • Afocal systems
  • Spherical reflecting surface (spherical mirror)
  • Gaussian imaging equation
  • Focal length and reflecting power
  • Magnifications and Lagrange invariant
  • Graphical imaging
  • Newtonian imaging equation
  • Paraxial ray tracing
  • Refracting surface
  • Thin lens
  • Two thin lenses
  • Thick lens
  • Reflecting surface (mirror)
  • Two-mirror system
  • Catadioptric system: thin lens-mirror combination
  • Two-ray Lagrange invariant
  • Matrix approach to paraxial ray tracing and Gaussian optics
  • Introduction
  • System matrix
  • Conjugate matrix
  • System matrix in terms of Gaussian parameters
  • Gaussian imaging equations
  • References
  • Problems.
  • Chapter 2: Radiometry of imaging
  • Introduction
  • Stops, pupils, and vignetting
  • Introduction
  • Aperture stop, and entrance and exit pupils
  • Chief and marginal rays
  • Vignetting
  • Size of an imaging element
  • Telecentric aperture stop
  • Field stop, and entrance and exit windows
  • Radiometry of point sources
  • Irradiance of a surface
  • Flux incident on a circular aperture
  • Radiometry of extended sources
  • Lambertian surface
  • Exitance of a Lambertian surface
  • Radiance of a tube of rays
  • Irradiance by a Lambertian surface element
  • Irradiance by a Lambertian disc
  • Radiometry of point object imaging
  • Radiometry of extended object imaging
  • Image radiance
  • Pupil distortion
  • Image irradiance: aperture stop in front of the system
  • Image irradiance: aperture stop in back of the system
  • Telecentric systems
  • Throughput
  • Condition for uniform image irradiance
  • Concentric systems
  • Photometry
  • Photometric quantities and spectral response of the human eye
  • Imaging by a human eye
  • Brightness of a Lambertian surface
  • Observing stars in the daytime
  • Appendix: Radiance theorem
  • References
  • Problems.
  • Chapter 3: Optical aberrations
  • Introduction
  • Wave and ray aberrations
  • Definitions
  • Relationship between wave and ray aberrations
  • Defocus aberration
  • Wavefront tilt
  • Aberration function of a rotationally symmetric system
  • Rotational invariants
  • Power-series expansion
  • Explicit dependence on object coordinates
  • No explicit dependence on object coordinates
  • Zernike circle-polynomial expansion
  • Relationships between coefficients of power-series and
  • Zernike-polynomial expansions
  • Observation of aberrations
  • Primary aberrations
  • Interferograms
  • Conditions for perfect imaging
  • Imaging of a 3-D object
  • Imaging of a 2-D transverse object
  • Imaging of a 1-D axial object
  • Linear coma and the sine condition
  • Optical sine theorem
  • Linear coma and offense against the sine condition
  • Appendix A: Degree of approximation in eq. (3-11)
  • Appendix B: Wave and ray aberrations: alternative definition and derivation
  • References
  • Problems.
  • Chapter 4: Geometrical point-spread function
  • Introduction
  • Theory
  • Application to primary aberrations
  • Spherical aberration
  • Coma
  • Astigmatism and field curvature
  • Distortion
  • Balanced aberrations for minimum spot sigma
  • Spot diagrams
  • Aberration tolerance and golden rule of optical design
  • References
  • Problems.
  • Chapter 5: Calculation of primary aberrations
  • Refracting systems
  • Introduction
  • Spherical refracting surface with aperture stop at the surface
  • On-axis point object
  • Off-axis point object
  • Aberrations with respect to Petzval image point
  • Aberrations with respect to Gaussian image point
  • Spherical refracting surface with aperture stop not at the surface
  • On-axis point object
  • Off-axis point object
  • Aplanatic points of a spherical refracting surface
  • Conic refracting surface
  • Sag of a conic surface
  • On-axis point object
  • Off-axis point object
  • General aspherical refracting surface
  • Series of coaxial refracting (and reflecting) surfaces
  • General imaging system
  • Petzval curvature and corresponding field curvature wave aberration
  • Relationship among Petzval curvature, field curvature, and astigmatism
  • Wave aberration coefficients
  • Aberration function in terms of Seidel sums or Seidel coefficients
  • Effect of change in aperture stop position on the aberration function
  • Change of peak aberration coefficients
  • Illustration of the effect of aperture-stop shift on coma and distortion
  • Aberrations of a spherical refracting surface with aperture stop not at the surface obtained from those with stop at the surface
  • Thin lens
  • Imaging relations
  • Thin lens with spherical surfaces and aperture stop at the lens
  • Petzval surface
  • Spherical aberration and coma
  • Aplanatic lens
  • Thin lens with conic surfaces
  • Thin lens with aperture stop not at the lens
  • Field flattener
  • Imaging relations
  • Aberration function
  • Plane-parallel plate
  • Introduction
  • Imaging relations
  • Aberration function
  • Chromatic aberrations
  • Introduction
  • Single refracting surface
  • Thin lens
  • General system: surface-by-surface approach
  • General system: use of principal and focal points
  • Chromatic aberrations as wave aberrations
  • Symmetrical principle
  • Pupil aberrations and conjuage-shift equations
  • Introduction
  • Pupil aberrations
  • Conjugate-shift equations
  • Invariance of image aberrations
  • Simultaneous correction of aberrations for two or more object positions
  • References
  • Problems.
  • Chapter 6: Calculation of primary aberrations: reflecting and catadioptric systems
  • Introduction
  • Conic reflecting surface
  • Conic surface
  • Imaging relations
  • Aberration function
  • Petzval surface
  • Spherical mirror
  • Aberration function and aplanatic points for arbitrary location of aperture stop
  • Aperture stop at the mirror surface
  • Aperture stop at the center of curvature of mirror
  • Paraboloidal mirror
  • Catadioptric systems
  • Introduction
  • Schmidt camera
  • Bouwers-Maksutov camera
  • Beam expander
  • Introduction
  • Gaussian parameters
  • Aberration contributed by primary mirror
  • Aberration contributed by secondary mirror
  • System aberration
  • Two-mirror astronomical telescopes
  • Introduction
  • Gaussian parameters
  • Petzval surface
  • Aberration contributed by primary mirror
  • Aberration contributed by secondary mirror
  • System aberration
  • Classical Cassegrain and Gregorian telescopes
  • Aplanatic Cassegrain and Gregorian telescopes
  • Afocal telescope
  • Couder anastigmatic telescopes
  • Schwarzschild telescope
  • Dall-Kirkham telescope
  • Astronomical telescopes using aspheric plates
  • Introduction
  • Aspheric plate in a diverging object beam
  • Aspheric plate in a converging image beam
  • Aspheric plate and a conic mirror
  • Aspheric plate and a two-mirror telescope
  • References
  • Problems.
  • Chapter 7: Calculation of primary aberrations: perturbed optical systems
  • Introduction
  • Aberrations of a misaligned surface
  • Decentered surface
  • Tilted surface
  • Despaced surface
  • Aberrations of perturbed two-mirror telescopes
  • Decentered secondary mirror
  • Tilted secondary mirror
  • Decentered and tilted secondary mirror
  • Despaced secondary mirror
  • Fabrication errors
  • Refracting surface
  • Reflecting surface
  • System errors
  • Error tolerance
  • References
  • Problems
  • Bibliography
  • Index.