Why Do Monochromatic Light Fringes Have Better Contrast Than White Light?

In summary, the conversation discusses the analytical proof for better visibility and contrast of interference fringes created by monochromatic light compared to white light. The need for a mathematical proof is emphasized, and the concept of contrast is defined as the difference between intensities of adjacent maxima and minima. It is suggested to integrate over the visible spectrum to find intensity as a function of position for white light.
  • #1
Tonauac
Analytical proof for
better Visibility and contrast of interference fringes created by monochromatic light than white light.

I know that there will be overlapping & ...the light fades on moving to extrmities...in case of white light...and there wil be a better contrast ...incase of monochromatic light...but i need a mathematical proof...,
pls reply...urgently required.........
 
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  • #2
How do you define better contrast? If you don't have a definition, then you have to come up with one. A simple definition would be the difference between the intensities of adjacent maxima and minima.

For white light, if you don't already have the intensity vs position relationship, you should be able to integrate over the visible spectrum to find intensity as a function of position.
 
  • #3
OlderDan said:
How do you define better contrast? If you don't have a definition, then you have to come up with one. A simple definition would be the difference between the intensities of adjacent maxima and minima.

For white light, if you don't already have the intensity vs position relationship, you should be able to integrate over the visible spectrum to find intensity as a function of position.






thanks you Sir......,ill try that
 

FAQ: Why Do Monochromatic Light Fringes Have Better Contrast Than White Light?

What is the importance of providing analytical proof?

Analytical proof is crucial in a scientific context because it provides evidence and justification for a hypothesis or claim. Without analytical proof, an idea or theory is simply a conjecture and lacks credibility.

How do you obtain analytical proof?

Analytical proof is typically obtained through rigorous experimentation or data analysis. This involves collecting and analyzing data, using statistical tools and methods, and drawing conclusions based on the evidence.

What are some common methods used for analytical proof?

Some common methods used for analytical proof include experiments, surveys, statistical analysis, and mathematical modeling. These methods allow scientists to test hypotheses and gather evidence to support their claims.

How can you ensure the validity of analytical proof?

To ensure the validity of analytical proof, scientists follow the principles of the scientific method, which includes careful planning, controlled experiments, accurate data collection, and unbiased analysis. Peer review and replication of results also help to validate analytical proof.

What are the limitations of analytical proof?

While analytical proof is an essential part of scientific research, it also has its limitations. These include potential errors in data collection or analysis, the inability to account for all variables, and the possibility of biased interpretations. It is important for scientists to acknowledge these limitations and continue to refine their methods for obtaining analytical proof.

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