Optics Question 844

Question: A possible means for making an airplane invisible to radar is to coat the plane with an anti-reflective polymer. Radar waves have a wavelength of 3.00 cm and the index of refraction of the polymer is n=1.50. How thick would you make the coating?

Options:

A) 1.50cm

B) 3.00cm

C) 0.50cm

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Treating the anti-reflectance coating like a camera-lens coating, one can obtain for its thickness t: $ 2t=( m+\frac{1}{2} )\frac{\lambda }{n} $ , $ m=0,\pm 1,\pm 2 $ …… (i)

Condition (1) is the condition for the destructive interference for the normally incident and reflected electromagnetic wave.

The minimum thickness of the coat refers to m= 0.

This gives for the thickness: $ t=\frac{\lambda }{4n}=\frac{3.00}{4(1.5)}cm=0.500cm $

This anti-reflectance coating could be easily countered by changing the wavelength of the radar to L50 cm now creating maximum reflection.



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