"Intensity of Incoherent EM Waves

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SUMMARY

The intensity of two incoherent electromagnetic (EM) waves with intensities 7I0 and 13I0 can be calculated by directly adding their intensities. The correct formula for incoherent sources is I = I1 + I2, which results in an intensity of 20I0 for the combined waves. Attempts to use the formula I = I1 + I2 + (2 * √(I1 * I2)) are incorrect, as this applies only to coherent sources. Understanding the distinction between coherent and incoherent sources is crucial for solving problems involving EM wave intensities.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with the concept of intensity in wave physics
  • Knowledge of coherent vs incoherent wave sources
  • Basic algebra for manipulating equations
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  • Study the principles of electromagnetic wave interference
  • Learn about the mathematical treatment of coherent and incoherent sources
  • Explore the applications of intensity calculations in optics
  • Investigate the effects of phase differences on wave interference
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Students studying physics, particularly those focusing on wave mechanics and electromagnetic theory, as well as educators looking for clear explanations of wave intensity concepts.

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Homework Statement



Two incoherent EM waves of intensities 7I0 and 13I0 travel in the same direction in the same region of space. What is the intensity of EM radiation in this region?


Homework Equations


The Attempt at a Solution



I have tried using I = I1 + I2 + ( 2* square root of (I1 * I2))
also tried using the same equation with a minus sign in front of the () portion.

I am lost at what I need to do even some hints would be so great!
 
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I have tried using I = I1 + I2 + ( 2* square root of (I1 * I2))
This formula is true only for coherent sources not for incoherent sources.
For incoherent sources you can directly add the intensities.
 

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