In the optical chart industry the appellation acreage of appearance (FOV) is best generally used, admitting the abstracts are still bidding as angles.7 Optical tests are frequently acclimated for barometer the FOV of UV, visible, and bittersweet (wavelengths about 0.1–20 µm in the electromagnetic spectrum) sensors and cameras.
The purpose of this analysis is to admeasurement the accumbent and vertical FOV of a lens and sensor acclimated in an imaging system, back the lens focal breadth or sensor admeasurement is not accepted (that is, back the adding aloft is not anon applicable). Although this is one archetypal adjustment that the eyes industry uses to admeasurement the FOV, there abide abounding added accessible methods.
UV/visible ablaze from an amalgam apple (and/or added antecedent such as a atramentous body) is focused assimilate a aboveboard analysis ambition at the focal even of a collimator (the mirrors in the diagram), such that a basic angel of the analysis ambition will be apparent always far abroad by the camera beneath test. The camera beneath analysis senses a absolute angel of the basic angel of the target, and the sensed angel is displayed on a monitor.8
Monitor affectation of sensed angel from the camera beneath test
The sensed image, which includes the target, is displayed on a monitor, area it can be measured. Dimensions of the abounding angel affectation and of the allocation of the angel that is the ambition are bent by analysis (measurements are about in pixels, but can aloof as able-bodied be inches or cm).
D = ambit of abounding image
d = ambit of angel of target
The collimator's abroad basic angel of the ambition subtends a assertive angle, referred to as the angular admeasurement of the target, that depends on the collimator focal breadth and the ambition size. Assuming the sensed angel includes the accomplished target, the bend apparent by the camera, its FOV, is this angular admeasurement of the ambition times the arrangement of abounding angel admeasurement to ambition angel size.9
The target's angular admeasurement is:
\alpha = 2 \arctan \frac {L} {2 f_c}
area L is the ambit of the ambition and fc is the focal breadth of collimator.
The absolute acreage of appearance is again approximately:
\mathrm{FOV} = \alpha \frac{D}{d}
or added precisely, if the imaging arrangement is rectilinear:
\mathrm{FOV} = 2 \arctan \frac {LD} {2 f_c d}
This adding could be a accumbent or a vertical FOV, depending on how the ambition and angel are measured.
The purpose of this analysis is to admeasurement the accumbent and vertical FOV of a lens and sensor acclimated in an imaging system, back the lens focal breadth or sensor admeasurement is not accepted (that is, back the adding aloft is not anon applicable). Although this is one archetypal adjustment that the eyes industry uses to admeasurement the FOV, there abide abounding added accessible methods.
UV/visible ablaze from an amalgam apple (and/or added antecedent such as a atramentous body) is focused assimilate a aboveboard analysis ambition at the focal even of a collimator (the mirrors in the diagram), such that a basic angel of the analysis ambition will be apparent always far abroad by the camera beneath test. The camera beneath analysis senses a absolute angel of the basic angel of the target, and the sensed angel is displayed on a monitor.8
Monitor affectation of sensed angel from the camera beneath test
The sensed image, which includes the target, is displayed on a monitor, area it can be measured. Dimensions of the abounding angel affectation and of the allocation of the angel that is the ambition are bent by analysis (measurements are about in pixels, but can aloof as able-bodied be inches or cm).
D = ambit of abounding image
d = ambit of angel of target
The collimator's abroad basic angel of the ambition subtends a assertive angle, referred to as the angular admeasurement of the target, that depends on the collimator focal breadth and the ambition size. Assuming the sensed angel includes the accomplished target, the bend apparent by the camera, its FOV, is this angular admeasurement of the ambition times the arrangement of abounding angel admeasurement to ambition angel size.9
The target's angular admeasurement is:
\alpha = 2 \arctan \frac {L} {2 f_c}
area L is the ambit of the ambition and fc is the focal breadth of collimator.
The absolute acreage of appearance is again approximately:
\mathrm{FOV} = \alpha \frac{D}{d}
or added precisely, if the imaging arrangement is rectilinear:
\mathrm{FOV} = 2 \arctan \frac {LD} {2 f_c d}
This adding could be a accumbent or a vertical FOV, depending on how the ambition and angel are measured.
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