Respuesta :
The maximum power that can be delivered by a 1.6- cm -diameter laser beam propagating through air is 0.024009 x 10⁸ W.
Laser Beam power is the decisive factor that controls the absorption of energy. Due to this radiations have constant relative phase. These are coherent sources.
Now the maximum electric Field strength in air is 3 MV/m as per standard value because to compute the maximum power we need maximum electric field.
[tex]Intensity = \frac{Power}{Area}[/tex]-----------------------------------[1]
To find power:-
[tex]Power= Intensity * Area[/tex]-------------------------[2]
[tex]Area = \pi x^{2}[/tex]
Area refers to cross sectional area. And area of circle = π( radius )².
so x= radius .
[tex]x= \frac{diameter}{2}[/tex]
=1.6/2 ⇒0.8cm
therefore , area = 3.14 x 0.8²
= 2.0096 cm²
For maximum power condition
[tex]Power = \frac{c\alpha E^2 A}{2}[/tex]------------------------------------[3]
Putting the below values in equation 3
c= speed of light = 3 x 10⁸m/s
E= electric field = 3 x 10⁶ V
A= area = 2.0096 cm²⇒ 0.00020096 m²
α= Permittivity of space = 8.85 x 10⁻¹²
Power = (0.04801 x 10⁸)/ 2
= 0.024009 x 10⁸ W
To learn more about maximum power -
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