EXERCISE 7.1-1Quarter-Wave Film as an Antireflection Coating. Specially designed thin dielectric filmsare often used to reduce or eliminate reflection at the boundary between two media of differentrefractive indices. Consider a thin film of refractive index n2 and thickness d sandwiched betweenmedia of refractive indices n1 and ng. Derive an expression for the B element of the M matrix forthis multilayer medium. Show that light incident from medium 1 has zero reflectance if d = X/4 andn2 = Vmn3, where A = A,/n2.d= X/4-Figure 7.1-3 Antireflection coating.

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EXERCISE 7.1-1 Quarter-Wave Film as an Antireflection Coating. Specially designed thin dielectric films are often used to reduce or eliminate reflection at the boundary between two media of different refractive indices. Consider a thin film of refractive index ng and thickness d sandwiched between media of refractive indices n1 and ng. 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 = /4 and na = mna, where A = Ao/n2. d= /4 Figure 7.1-3 Antireflection coating.

EXERCISE 7.1-1 Quarter-Wave Film as an Antireflection Coating. Specially designed thin dielectric films are often used to reduce or eliminate reflection at the boundary between two media of different refractive indices. Consider a thin film of refractive index ng and thickness d sandwiched between media of refractive indices n1 and ng. 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 = /4 and na = mna, where A = Ao/n2. d= /4 Figure 7.1-3 Antireflection coating.