Abstract
The method of path integration is applied to the analysis of a model of a graded-index waveguide taper whose refractive index varies with position z along the guide and coordinates x and y transverse to the direction of propagation, as 1 - 1/2c(z)x2 - 1/2b2y2. Detailed calculations are presented for the case in which c(z) is-proportional-to 1/z2, which describes the linear taper. Comments are made about tapers corresponding to other forms of c(z). We obtain an exact closed-form solution for the propagator and coupling efficiency of a linearly tapering graded-index waveguide.
| Original language | English |
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| Pages (from-to) | 1240-1244 |
| Number of pages | 5 |
| Journal | Optical Society of America. Journal A: Optics, Image Science, and Vision |
| Volume | 8 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1 Aug 1991 |