Problem D (ICM) Twilight factor of telescope
Idea analysis
Task
1. Please consider the visual characteristics of the human eye under dim light, establish a reasonable model, and propose a dusk coefficient algorithm for binoculars suitable for direct observation by the human eye.
Possible influencing indicators:
lInfluence of entrance aperture (d) and magnification (m): These two factors are basic and determine the performance of the telescope in dim conditions. Basic performance.
l Spectral response of the human eye to light sensitivity (S(λ)): Consider the sensitivity changes of the human eye to light of different wavelengths. In dim environments, the human eye is most sensitive to the blue-green band.
lLight transmittance (T(λ)): The transmittance of light of different wavelengths in the telescope optical system may be different. High-quality optical systems maintain high transmittance over a wider wavelength range.
lBackground light noise (B(λ)): In a dim environment, background light noise may affect the observation of the target. Background noise often depends on ambient light conditions and the telescope's immunity to interference.
Based on the above factors, a twilight coefficient algorithm can be constructed, and then displayed through visual analysis, showing the sensitivity of the human eye to light, the light transmittance of the telescope, and the background light noise. These factors are It varies within the wavelength range.
2. If the visual receptor is not the human eye but a cmos video recording device, please consider the sensing characteristics of cmos under dark light, establish a reasonable mathematical model, and propose a lens twilight coefficient algorithm suitable for cmos video recording.
To establish a lens twilight coefficient algorithm suitable for CMOS video recording equipment, we need to consider the characteristics of the CMOS sensor under dark light conditions. CMOS sensors perform differently in low-light conditions than the human eye, and their sensitivity to light and noise levels vary with lighting and sensor technology. Here are several key steps to build this model:
lQuantum efficiency (QE(λ)) of lCMOS sensor: Quantum efficiency describes the efficiency of the sensor in converting photons into electrons under different wavelengths of light. The quantum efficiency of CMOS sensors can vary at different wavelengths.
l Sensor noise characteristics: CMOS sensors typically exhibit higher noise levels under low-light conditions, especially thermal noise and readout noise. These noises have a significant impact on image quality.
lTransmittance (T(λ)) of the optical system: Transmittance is key to determining how much light can reach the sensor at different wavelengths.
lLight intensity (I(λ)): The light intensity distribution of different light sources at different wavelengths will also affect the performance of the CMOS sensor.
Based on the above factors, the following dusk coefficient algorithm can be constructed, and then displayed through visual analysis, showing the sensitivity of the human eye to light, the light transmittance of the telescope, and the background light noise. These factors All vary within the wavelength range.
All codes have been updated, friends who need it can also watch the video.
