The âresolving powerâ of any optical system is limited by thewave-like property of lightâand photonsâthrough diffraction orinterference. This is often described by the âRayleigh criterionâwhich states that the minimum angular separation dR for two objectsto be resolved by an optical system having a circular aperture ofdiameter D using light of wavelength ? is dR = 1.22 ?/D. What isthe minimum distance d between two points on the earthâs surfacecan be resolved by the GeoEye optical system discussed in theprevious question at anominal wavelength of ? = 550 nm?
(Refer this question as Previous question)
Often, sodium vapor lamps are used to illuminate large outdoorareas because they
mainly radiate at two nearly equal wavelengths, the sodium yellowâDâ lines ? =589 nm. Suppose a 1 kW lamp is 50% efficient atproducing photons at this wave-length. How many such photons areproduced per second? Assuming the photons radiate isotropicallyfrom the lamb, how may photons enter the pupil of one of your eyesif you are standing 100 m from the lamp? Assume the pupil to have aradius of 1 mm.
Now suppose theâGeoEye-1â satellite, a supplier of images forGoogle-Earth, is
observing the area around the lamp at night. Assume the satellitecollects all the
photons hitting a 1 m diameter circular aperture formed by itsimaging system when
it is looking straight down from its orbital altitude of 681 km.How many photons
per second are collected from the lamp by GeoEye?
**Explain in details please**
The âresolving powerâ of any optical system is limited by thewave-like property of lightâand photonsâthrough diffraction orinterference. This is often described by the âRayleigh criterionâwhich states that the minimum angular separation dR for two objectsto be resolved by an optical system having a circular aperture ofdiameter D using light of wavelength ? is dR = 1.22 ?/D. What isthe minimum distance d between two points on the earthâs surfacecan be resolved by the GeoEye optical system discussed in theprevious question at anominal wavelength of ? = 550 nm?
(Refer this question as Previous question)
Often, sodium vapor lamps are used to illuminate large outdoorareas because they
mainly radiate at two nearly equal wavelengths, the sodium yellowâDâ lines ? =589 nm. Suppose a 1 kW lamp is 50% efficient atproducing photons at this wave-length. How many such photons areproduced per second? Assuming the photons radiate isotropicallyfrom the lamb, how may photons enter the pupil of one of your eyesif you are standing 100 m from the lamp? Assume the pupil to have aradius of 1 mm.
Now suppose theâGeoEye-1â satellite, a supplier of images forGoogle-Earth, is
observing the area around the lamp at night. Assume the satellitecollects all the
photons hitting a 1 m diameter circular aperture formed by itsimaging system when
it is looking straight down from its orbital altitude of 681 km.How many photons
per second are collected from the lamp by GeoEye?
**Explain in details please**
