# H-mode, Bragg diffraction from a surface relief, square wave (50% duty cycle) grating was studied in

H-mode, Bragg diffraction from a surface relief, square wave
(50% duty cycle) grating was studied in Figure 5.10 (first presented in [19,
Fig. 5]).This problem concerns studying the diffraction efficiency that results
when the incident angle deviates from the Bragg angle. The Bragg angle
corresponding to this figure was _i = _iB
= 30°.

(a) Using the RCWA full-field formulation of Section 5.2.1,
calculate numerically for the geometry and numerical values of Figure 5.10 (1)
the i = _1, 0,1 order, transmitted diffraction efficiencies of
this figure and (2) the i = 0 reflected diffraction
»

H-mode, Bragg diffraction from a surface relief, square wave
(50% duty cycle) grating was studied in Figure 5.10 (first presented in [19,
Fig. 5]).This problem concerns studying the diffraction efficiency that results
when the incident angle deviates from the Bragg angle. The Bragg angle
corresponding to this figure was _i = _iB
= 30°.

(a) Using the RCWA full-field formulation of Section 5.2.1,
calculate numerically for the geometry and numerical values of Figure 5.10 (1)
the i = _1, 0,1 order, transmitted diffraction efficiencies of
this figure and (2) the i = 0 reflected diffraction efficiency. These
calculations are to be carried out to ensure that your diffraction efficiency
algorithm is working correctly. The i = 0 reflected diffraction
efficiency is presented in Ref. [19, Fig. 5].

(b) Calculate using the RCWA full-field formulation of
Section 5.2.1, the order i = 0,1 transmitted diffraction efficiencies
for an incidence of angle _i  = 20° (non-Bragg
angle). Make comparison plots of the i = 0,1 transmitted diffraction
efficiencies for _i  = 20° and _i
= _iB = 30°.

(c) Comment on the effect that deviation from the Bragg
angle has on reflected and transmitted diffraction from the grating.

(d) In your solution of (a), (b), and (c), be sure to check
numerically that the conservation of power holds to a high degree of accuracy.

»

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