Field analysis of two-dimensional integrated optical gratings

Field analysis of two-dimensional focusing grating couplers

“…The configuration of the chirped grating closely resembles the periodic grating discussed in our previous paper. 6 This periodic grating was derived from the examples presented in the papers by Liu and Chew 4 and by Shigesawa and Tsuji. 5 For the chirped grating the distances between adjacent steps increase with z, and it is more appropriate to replace the word period with the word corrugation.…”

“…2 we can determine the boundaries of the k x1 inter- val responsible for the dominant contribution to the radiation field, as described in Ref. 6. This determination in turn enables us to approximate the amplitude coefficients efficiently because only this interval must be sampled accurately, i.e., must be divided into many subintervals (typically 100).…”

“…Periodic gratings were successfully treated in our previous paper. 6 Therefore only the focal-region field of chirped gratings is discussed here.…”

“…Therefore we have developed a different method by which several two-dimensional dielectric optical gratings, comprising 100 or more corrugations, are treated in a numerically reliable way. 6 In this method the grating is considered as a sequence of two alternating types of waveguide sections connected by means of step discontinuities, as shown in Fig. 1.…”

A mode-matching analysis of dielectric-filled resonant cavities coupled to terahertz parallel-plate waveguides

“…The mode-matching technique is a form of analysis employing classical waveguide theory and the generalized scattering matrix technique to analyze transmission through waveguides with discontinuous features such as abrupt changes in size, shape, junctions, cavities, etc [14][15][16][17][18]. The technique is discussed in detail in Ref [15] and in Chapters 9 and 10 of Ref [18].…”