Abstract
The method of path integration is used to study coupled graded-index waveguides in the context of paraxial, scalar-wave optics. The cases of strong and intermediate strength coupling for waveguides of arbitrary and variable spacing are considered, and a variational estimate of the propagator of such a waveguide structure is derived in closed form. The complete variational calculation is presented for the case of parallel waveguides only, and the propagator, lowest-order-mode field profile, the first two lowest-order-mode propagation constants, and the beat length of the structure are determined in closed form.
| Original language | English |
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| Pages (from-to) | 4653-4678 |
| Number of pages | 26 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 26 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - 21 Sept 1993 |