15. mmh A transparent film (n = 1.43) is deposited on a glass plate (n = 1.52) to form a nonreflecting coating. The film has a thickness that is 1.07 x 10-7 m. What is the longest possible wavelength (in vacuum) of light for which this film has been designed?

 

This is for destructive interference which is what a non-reflecting coating would need.

 

Since both rays are phase shifted due to going from lower n reflecting from higher n, the two phase shifts cancel.  So the only phase difference is the optical path difference.

 

Solve for the wavelength

 

To get the longest wavelength, we need the smallest denominator.  To get the smallest denominator, we make m the smallest it can be which would be zero.

 

 

 

 

 

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This page last updated on July 12, 2018