– How powerful is a single laser pulse?
– What’s the strength of a light wave during the incredibly brief pulse?
The main objective of this question is to find how powerful is a single laser pulse and strength of a light wave.
This question uses the concept of peak power. Peak power is the term used to describe the highest optical power that a laser pulse may produce. It is a measure of the energy content of a laser pulse relative to its temporal time, or pulse width, in more general terms.
Expert Answer
a) First we have to calculate the how powerful is a single laser pulse. The amount of energy released in relation to the amount of time it was released will determine the power. So:
\[ \space P \space = \space \frac{E}{t} \]
By putting the values, we get:
\[ \space = \space \frac{1 \space . \space 10^-3} {1.5 \space . \space 10 ^-8} \]
\[ \space = \space \frac{0.66 \space . \space 10^-3}{10^-8} \]
\[ \space = \space 0.66 \space . \space 10^5 \]
\[ \space = \space 66666.66 \]
\[ \space = \space 66.7 \space kW \]
b) Now we have to find the strength of light wave.
So:
\[\space I \space = \space \frac{E}{t} \]
\[\space = \space \frac{4P}{\pi d^2} \]
By putting values, we get:
\[\space = \space \frac{4 \space . \space 66700}{\pi \space . \space 0.001^2} \]
\[\space = \space 8.5 \space . \space 10^{10} \space \frac{W}{m^2} \]
Numerical Answer
The power of a single laser pulse is:
\[ \space = \space 66.7 \space kW \]
The strength of the light wave during the incredibly brief pulse is:
\[\space = \space 8.5 \space . \space 10^{10} \space \frac{W}{m^2} \]
Example
Laser light pulses are used during LASIK eye surgery to reshape the cornea by shaving off tissue. A common LASIK laser produces a $ 193 nm $ laser beam that is $ 2.0 mm $ in diameter $ . 15 ns $ and $ 1.0 mj $ of visible light are contained in each laser pulse. How powerful is a single laser pulse? What’s the strength of a light wave during the incredibly brief pulse?
First, we have to calculate how powerful is a single laser pulse. The amount of energy released in relation to the amount of time it was released will determine the power. So:
\[ \space P \space = \space \frac{E}{t} \]
By putting the values, we get:
\[ \space = \space \frac{2 \space . \space 10^-3} {1.5 \space . \space 10 ^-8} \]
\[ \space = \space \frac{1.333 \space . \space 10^-3}{10^-8} \]
\[ \space = \space 1.333 \space . \space 10^5 \]
\[ \space = \space 133333.33 \]
\[ \space = \space 133333.33\space W \]
Now we have to find the strength of the light wave.
So:
\[\space I \space = \space \frac{E}{t} \]
\[\space = \space \frac{4P}{\pi d^2} \]
By putting values, we get:
\[\space = \space \frac{4 \space . \space 133333.33}{\pi \space . \space 0.002^2} \]
\[\space = \space 4.24 \space . \space 10^{10} \space \frac{W}{m^2} \]
The power of a single laser pulse is:
\[ \space = \space 133333.33\space W \]
The strength of the light wave during the incredibly brief pulse is:
\[\space = \space 4.24 \space . \space 10^{10} \space \frac{W}{m^2} \]