Journal
PHYSICAL REVIEW A
Volume 80, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.80.043806
Keywords
bonds (chemical); coupled mode analysis; energy gap; optical arrays; optical multilayers; optical waveguide theory; superlattices; surface states
Categories
Funding
- NSF
- USAFOSR
- 973 Program
- Division Of Physics
- Direct For Mathematical & Physical Scien [0800972] Funding Source: National Science Foundation
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We study the formation of Shockley-like surface states and their transition into Tamm-like surface states in an optically induced semi-infinite photonic superlattice. While perfect Shockley-like states appear only when the induced superlattice with alternating strong and weak bonds is terminated properly with an unperturbed surface, deformed Shockley-like surface states often appear in the so-called inverted band gap when the surface perturbation is nonzero. Furthermore, transitions between linear Tamm-like, Shockley-like, and nonlinear Tamm-like surface states are also observed by fine tuning the surface perturbation. Using coupled-mode theory, we confirm the existence of these linear and nonlinear surface states in a finite array of N identical single-mode waveguides coupled with alternating strong and weak bonds.
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