This problem concerns studying H-mode, Bragg diffraction

from a sinusoidal surface relief grating whose grating period is equal to the

free-space wavelength. The grating is assumed to be nonmagnetic (_G

= 1), have a relative dielectric permittivity of _G =

2.5, and have a vacuum on the incident side. The Bragg angle for this problem

is _i = _iB = 30°. The

geometry of the problem may be found in the Figure 5.20 inset and in Ref. [19,

Fig. 4].

(a) Using a multilayer RCWA full-field formulation,

including i = _2, _1,0,1,2 Fourier harmonics, calculate

numerically the i = _1,0,1 order,

»

This problem concerns studying H-mode, Bragg diffraction

from a sinusoidal surface relief grating whose grating period is equal to the

free-space wavelength. The grating is assumed to be nonmagnetic (_G

= 1), have a relative dielectric permittivity of _G =

2.5, and have a vacuum on the incident side. The Bragg angle for this problem

is _i = _iB = 30°. The

geometry of the problem may be found in the Figure 5.20 inset and in Ref. [19,

Fig. 4].

(a) Using a multilayer RCWA full-field formulation,

including i = _2, _1,0,1,2 Fourier harmonics, calculate

numerically the i = _1,0,1 order, transmitted diffraction

efficiencies for this problem. Make i = _1,0,1 order,

transmitted diffraction efficiency plots versus grating thickness (peak-to-peak

distance of the sinusoid making up the surface relief grating). Plot also the

i = 0 reflected diffraction efficiency.

(b) Compare your solution plots to those found in Ref. [19,

Fig. 4].

(c) Comment on the effect that the grating thickness has on

diffraction from the gratings described in (a) and (b).

(d) In your solution of (a) and (b), be sure to check

numerically that conservation of power holds to a high degree of accuracy.

»

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