Young Christian wants to burn some ants with sun rays ; sunlight wave-fronts are

Question

Young Christian wants to burn some ants with sun rays ; sunlight wave-fronts are flat and parallel to the glass before entering the glass at x = 0.
Light that enters along the center-line at y = 0 is Normal to the surface, so goes thru thickness "t" of n = 1.6 glass and emerges undeflected.
Light that nicks the edge ("0 thickness") at y =

Young Christian wants to burn some ants with sun rays ; sunlight wave-fronts are flat and parallel to the glass before entering the glass at x = 0. Light that enters along the center-line at y = 0 is Normal to the surface, so goes thru thickness ''t'' of n = 1.6 glass and emerges undeflected. Light that nicks the edge (''0 thickness'') at y = +-80 [mm] from the center-line is deflected to cross the ''optical axis'' at x = 200 [mm]. All paths must have the same ''optical length'', meaning the same number of wavelengths along these paths. What glass thickness is needed in the center? {follow-up: how many wavelengths of f = 6E14 Hz light are along that diagonal path?}

Explanation / Answer

apply the relation betrween spped and wavelegnth L as V = Lf

so wavelength L = V/f = 3e8/(6e14)

L = 500 nm

so

now use minimum thickness tmin = L/4n

tmin = 500 e-9/(4* 1.6)

tmin = 78.12 nm

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