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Advanced Calculations
Handy Calculations
- diffraction
- fraunhofer diffraction
- diffraction by a circular aperture
- observation at infinity
- observation with a lens
- diffraction by a single slit
- observation at infinity
- observation with a lens
- resolution
- diffraction limit of an optical system
- power of resolution of an optical system
- grating
- generalities
- free spectral range
- miscellaneous
- littrow angle
- reflection grating
- angle of diffraction
- dispersion - observation at infinity
- dispersion-observation with a lens
- effect of incidence wave tilt - observation at infinity
- effect of incidence wave tilt - observation with a lens
- resolvance-observation at infinity
- resolvance-observation with a lens
- transmission grating
- angle of diffraction
- dispersion - observation at infinity
- dispersion-observation with a lens
- effect of incidence wave tilt - observation at infinity
- effect of incidence wave tilt - observation with a lens
- resolvance-observation at infinity
- resolvance-observation with a lens
- fiber optic
- fiber coupling-multimode fiber
- coupling with a lens
- coupling ratio - isotropic punctual source - fixed source position
- coupling ratio - plane circular source - fixed source position
- coupling ratio - plane circular source - fixed magnification
- direct coupling
- coupling ratio - fiber to fiber coupling
- coupling ratio - plane lambertian source to fiber coupling
- fiber coupling-single mode fiber
- elliptical beam
- coupling with a lens
- coupling with an afocal system
- coupling with two lenses
- direct coupling
- gaussian beam
- coupling with a lens
- coupling with two lenses
- direct coupling
- maximizing coupling of a gaussian beam
- lens for optimal coupling
- maximizing coupling of an elliptical beam
- afocal system for optimal coupling
- optimal fiber mode radius for given ellipticity
- optimal fiber mode radius for given waist widths
- spatial modes parameters
- cutoff wavelength
- mode radius of a single mode fiber
- number of spatial modes in a highly multimode fiber
- numerical aperture
- V number
- transmission parameters
- chromatic dispersion-single mode fiber
- fiber loss
- modal dispersion-step index fiber
- general parameters
- catalog
- optical glass
- generic
- Hoya
- Ohara
- Schott
- theoretical
- wavelengths
- default wavelength and default wavelength range for chromatism
- geometrical optics
- aberration
- miscellaneous
- plane parrallel plate - ray shift vs angle of incidence
- spherical aberration
- plane parallel plate
- plane refracting surface
- sphercal lens interfacing different media
- spherical lens
- spherical mirror - correction with a Schmidt plate
- spherical mirror with object at infinity
- spherical refracting surface
- aperture
- F-number
- numerical aperture - fixed aperture angle
- numerical aperture - fixed aperture diameter
- chromatic aberration
- axial and height chomatisms
- real lens
- real lens interfacing different media
- spherical refracting surface
- thin lens
- axial and height chomatisms - object at infinity
- real lens interfacing different media
- spherical refracting surface
- thin lens
- miscellaneous
- achromat
- constringence
- depth of field-defocus
- general paraxial system
- depth of field
- depth of field and maximum defocus-object at infinity
- maximum defocus
- two thin lenses system
- depth of field
- paraxial conjugation
- image position
- plane parallel plate
- plane refracting surface
- spherical refracting surface
- image position and system parameters - fixed magnification
- spherical mirror ( fixed object position)
- spherical refracting surface ( fixed distance between object and image)
- thin lens ( fixed distance between object and image)
- image position, magnification and numerical aperture
- afocal system
- catadioptric system
- combination of two thin lenses
- general paraxial system
- real lens
- real lens interfacing different media
- spherical mirror
- spherical refracting surface
- thin lens
- miscellaneous
- divergence of a source conjugated at infinity
- field in the object space vs field in the image space
- paraxial parameters
- focal lengths - principal planes
- catadioptric system
- mirror
- real lens
- real lens interfacing different media
- refracting surface
- thin lens
- miscellaneous
- power of an optical system
- prism
- deviation
- dispersion
- refraction-reflection
- refraction by a plane surface
- total reflection by a plane refracting surface
- rigorous stigmatism
- elliptical mirror
- parabolic mirror
- spherical refracting surface
- interference
- ar coating
- single layer
- optimal layer thickness vs angle of incidence
- optimal refraction index at normal incidence
- reflectivity vs all parameters
- fabry perot
- diverging wave
- interference rings-observation at infinity
- interference rings-observation with a lens
- power of resolution and phase dispersion
- plane wave
- angle of incidence for a given transmission
- refraction index for a given transmission
- spectral parameters of a Fabry Perot
- thickness for a given transmission
- transmission of a Fabry Perot
- wavelength for a given transmission
- optical coherence
- coherence length
- coherence time
- two waves interference
- air corner
- fringes - observation perpendicularly to equiphase planes
- fringes - observation perpendicularly to the first reflecting surface
- number of observable fringes-slightly diverging source
- equal inclination
- interference rings-observation at infinity
- interference rings-observation with a lens
- michelson
- effect of mirror tilt on interference pattern
- relative intensity - fixed optical paths difference
- wavelength - fixed relative intensity and optical paths difference
- miscellaneous
- relative intensity-cosine type interferometer
- newton rings
- dark fringes
- minimum dark fringe order
- two slits interference
- fringes - observation at infinity
- fringes – observation with a lens
- laser
- beam parameters
- elliptical beam
- intensity distribution in a plane perpendicular to the propagation
- gaussian beam
- intensity distribution in a plane perpendicular to the propagation
- stability condition for a Fabry Perot resonator
- waist radius and position in a Fabry Perot cavity
- waist radius in a confocal cavity
- beam propagation
- beam adaptation
- adaptation of two embedded gaussian beams with a refractive optical system
- adaptation of two gaussian beams with an afocal
- anamorphosing of an elliptical beam
- elliptical beam
- beam shaping by a cylindrical lens
- beam shaping by a spherical mirror
- beam shaping by an afocal system
- beam shaping by two cylindrical lenses
- beam shaping by two lenses
- characteristic parameters
- shaping by a refractive optical system
- elliptical beam - vertical and horizontal waists at different positions
- beam shaping by a cylindrical lens
- beam shaping by a single lens
- gaussian beam
- beam shaping by a cylindrical lens
- beam shaping by a refractive optical system
- beam shaping by a spherical mirror
- beam shaping by an afocal system
- beam shaping by two thin lenses
- characteristic parameters
- depth of focus
- transmission through a circular aperture
- power-energy parameters
- gaussian beam
- average irradiance through a circular aperture
- pulsed laser
- average power
- duty cycle
- peak power
- spectrum and pulse
- longitudinal mode
- gap between consecutive modes
- shift of a mode induced by a change of cavity length
- pulse duration
- minimum pulse width - gaussian shaped light pulse
- minimum pulse width - sech2 shaped light pulse
- pulse width estimation - mode locked laser
- miscellaneous
- optical spectrum
- doppler fizeau effect
- small spectral shift converted in frequency units or in wavelength units
- optoelectronics
- acousto optic
- Bragg configuration - acousto optic as a modulator
- approximative cutoff frequency
- dynamic contrast for a given modulation frequency
- rise time
- bragg configuration - general
- bragg angle
- effect of an acoustic frequency change on the diffraction efficiency
- efficiency of an acousto optic crystal
- optimal acoustic power for maximum diffraction efficiency
- general
- quality factor
- Raman Nath configuration
- critical interaction length
- diffraction angles
- photodetection
- noise
- Johnson noise current
- photon noise
- shot noise current
- signal to noise ratio - shot noise limited photodetector – given signal current
- signal to noise ratio - shot noise limited photodetector – given optical power
- specific detectivity
- photon to electron conversion
- photocurrent from isotropic ponctual source
- photocurrent from small lambertian source
- sensitivity of a photodetector
- camera
- signal to noise ratio
- lambertian source illuminating a pixel through an optical system
- polarization
- birefringence
- general
- refraction indexes – propagation in a plane containing the optical axis
- waveplate – optical axis parallel to the facets
- normal incidence – optical paths difference between slow and fast axis
- normal incidence – phase shift between slow and fast axis
- refraction angles and phase shift order depending on incidence angle
- refraction-reflexion
- brewster angle
- reflection and transmission intensity ratios by a refracting surface
- Radiometry Photometry
- photometry
- eye sensitivity (CIE 1978 photopic)
- black body
- miscellaneous
- power density
- spectral density
- grey body
- dimension – given power
- annular source
- circular source
- cylindrical source
- rectangular source
- power
- annular source
- circular source
- cylindrical source
- ratio of power in a spectral range
- rectangular source
- diffusion
- perfectly diffusing surface
- integrating sphere - irradiance and radiance – given diameters
- integrating sphere - irradiance and radiance – given surface
- intensity vs luminous flux
- radiance vs irradiance
- secondary source
- radiance - gaussian shape diffusion
- flux transmitted through an aperture
- isotropic source - circular aperture
- light source with given intensity - fixed aperture diameter
- punctual source with given power - fixed aperture diameter
- transmitted flux - fixed aperture angle
- lambertian source
- cylindrical source - rectangular aperture - fixed aperture angle
- plane source - circular aperture - fixed aperture angle
- small source - circular aperture - fixed aperture diameter
- irradiance on a surface
- direct irradiance
- lambertian source at infinity
- punctual source
- miscellaneous
- Irradiance - direct illumination vs illumination through optical system
- source and screen conjugated by an optical system
- irradiance - small lambertian source - slightly opened optical system
- irradiance - lambertian source at infinity - aperture defined with aperture diameter
- irradiance - lambertian source at infinity - aperture defined with F number
- source in the front focal plane of an optical system
- irradiance - punctual source with given intensity
- irradiance - punctual source with given optical power
- irradiance - small source with given radiance
- source parameters
- isotropic source
- intensity vs power
- intensity vs radiance - spherical source
- radiance vs power - spherical source
- lambertian source
- emittance
- intensity - cylindrical source
- intensity - plane source
- optical power - cylindrical source
- optical power - plane light source
- secondary source source conjugated by an optical system
- radiance
- miscellaneous
- element of solid angle
- solid angle-cone with a circular basis
- etendue
- etendue – square source – circular angular aperture
- etendue – square source – circular aperture
- etendue – square source –rectangular aperture
- unit conversions
- geometry
- angle
- area
- distance
- pitch to spatial frequency
- spatial frequency
- photometry
- illuminance
- intensity
- luminance
- radiance to luminance conversion
- power-energy-transmission
- wavelength to electronvolt
- energy
- energy conversion
- energy in photons number
- loss or gain
- transmission
- transmission per length
- power
- power conversion
- spectrum-and-time
- frequency
- time
- wavelength to frequency
- wavelength to wave number
- thermodynamic
- pressure
- temperature