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Phase-locked arrays of antiguides: analytical theory

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2 Author(s)
Botez, D. ; Dept. of Electr. Eng., Wisconsin Univ., Madison, WI, USA ; Napartovich, A.P.

By employing a variational technique on the eigenvalue equation for finite arrays of antiguides we obtain accurate analytical expressions for key parameters characterizing the resonant array modes: the radiation loss at resonance, αRR, and the propagation constant at resonance. The previously empirical finding that αRR is equal to the radiation loss of a single antiguide divided by the number of array elements is found to be a good approximation only for large element/interelement width ratios (⩾3) and for, high-index-step (Δn⩾0.05) devices. By using an expansion, the radiation loss versus index-step curve is well approximated near resonance by a parabola, which gives curve halfwidths at half intensity only 10 to 15% less than numerically calculated values. An extremely accurate approximation formula is obtained for the resonant-mode propagation constant over large ranges in index-step variation around the resonance point. The obtained formulae are discussed in light of device design

Published in:

Quantum Electronics, IEEE Journal of  (Volume:30 ,  Issue: 4 )

Date of Publication:

Apr 1994

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