About radiance equation in Radiometry

In summary, the radiance equation in Radiometry is a mathematical formula that describes the amount of light emitted or reflected by a surface. It is measured in watts per square meter per steradian (W/m<sup>2</sup>/sr) and is affected by factors such as reflectance, angle of incidence, and atmospheric conditions. In remote sensing, the radiance equation is used to analyze objects and features on the Earth's surface. However, it has limitations as it assumes monochromatic light sources and perfectly diffuse surfaces.
  • #1
dammage
2
0

Homework Statement


According to some pages on web, differential formula for calculating radiance L is :

L = d2P / ( dA*cos(a)*dw)

L : radiance
P : power flux
A*cos(a) : projected area
w : solid angle

Please tell me why does power P has derivaties two times d2P ?



Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
Because radiance is power per unit area, per solid angle.
 
  • #3
Ah, I understand now. Thank you !
 

Related to About radiance equation in Radiometry

1. What is the radiance equation in Radiometry?

The radiance equation in Radiometry is a mathematical formula that describes the amount of light emitted or reflected by a surface, also known as radiance. It takes into account the properties of the light source, the surface, and the observer’s position and direction, and is essential in understanding the behavior of light in different scenarios.

2. How is radiance measured?

Radiance is typically measured in watts per square meter per steradian (W/m2/sr) or in other units that represent the amount of power per unit area per unit solid angle. These measurements can be taken using specialized instruments such as radiometers or spectroradiometers.

3. What factors affect radiance?

The radiance of a surface depends on several factors, including the surface’s reflectance or emissivity, the angle of incidence of the light, the wavelength of the light, and the distance between the surface and the observer. Additionally, the radiance can also be affected by atmospheric conditions such as absorption and scattering of light.

4. How is the radiance equation used in remote sensing?

In remote sensing, the radiance equation is used to calculate the amount of light reflected or emitted by a surface from a distance. This information can then be used to identify and analyze objects and features on the Earth’s surface, such as vegetation, water bodies, and urban areas. Remote sensing data is crucial for various applications, including environmental monitoring, disaster management, and resource management.

5. What are the limitations of the radiance equation?

While the radiance equation is a useful tool for understanding the behavior of light, it does have some limitations. For example, it assumes that the light source is monochromatic (single-wavelength) and that the surface is perfectly diffuse (uniformly reflecting in all directions). In reality, light sources emit a range of wavelengths, and surfaces have varying degrees of reflectance, which can affect the accuracy of the radiance calculation.

Similar threads

Replies
1
Views
983
Replies
4
Views
2K
  • Other Physics Topics
Replies
13
Views
6K
  • Introductory Physics Homework Help
Replies
21
Views
2K
Replies
2
Views
6K
  • Other Physics Topics
Replies
9
Views
3K
  • Electromagnetism
Replies
1
Views
904
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
2
Replies
35
Views
3K
Replies
5
Views
1K
Back
Top