EXERCISE 7.1-1 Quarter-Wave Film as an Anti-Reflection Coating. Specially designed thin films are often used to reduce or eliminate reflection at the boundary between two media of different refractive ndexes. Consider a thin film of refractive index n₂ and thickness d sandwiched between media f refractive indexes n₁ and na. Derive an expression for the B element of the M matrix for this ultilayer medium. Show that light incident from medium I has zero reflectance if d = X/4 and ==√173, where λ = Ao/m₂. m₁ d=1/4- 282 Figure 7.1-3 Anti-reflection coating.

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EXERCISE 7.1-1
Quarter-Wave Film as an Anti-Reflection Coating. Specially designed thin films are often
used to reduce or eliminate reflection at the boundary between two media of different refractive
indexes. Consider a thin film of refractive index n and thickness d sandwiched between media
of refractive indexes n₁ and na. Derive an expression for the B element of the M matrix for this
multilayer medium. Show that light incident from medium I has zero reflectance if d = X/4 and
72 =√173, where A = Ao/m₂.
d=>/4-
2√3
Figure 7.1-3 Anti-reflection coating.
Transcribed Image Text:EXERCISE 7.1-1 Quarter-Wave Film as an Anti-Reflection Coating. Specially designed thin films are often used to reduce or eliminate reflection at the boundary between two media of different refractive indexes. Consider a thin film of refractive index n and thickness d sandwiched between media of refractive indexes n₁ and na. Derive an expression for the B element of the M matrix for this multilayer medium. Show that light incident from medium I has zero reflectance if d = X/4 and 72 =√173, where A = Ao/m₂. d=>/4- 2√3 Figure 7.1-3 Anti-reflection coating.
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