التفاصيل البيبلوغرافية
| العنوان: |
Outgoing wave conditions in photonic crystals and transmission properties at interfaces. |
| المؤلفون: |
Lamacz, A.1, Schweizer, B.1 |
| المصدر: |
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). 2018, Vol. 52 Issue 5, p1913-1945. 33p. |
| مصطلحات موضوعية: |
*ELASTIC wave propagation, *PHOTONIC crystals, *PHOTONIC band gap structures, *PHOTONIC crystal fibers, *COEFFICIENTS (Statistics), *STATISTICS |
| مستخلص: |
We analyze the propagation of waves in unbounded photonic crystals. Waves are described by a Helmholtz equation with x-dependent coefficients, the scattering problem must be completed with a radiation condition at infinity. We develop an outgoing wave condition with the help of a Bloch wave expansion. Our radiation condition admits a uniqueness result, formulated in terms of the Bloch measure of solutions. We use the new radiation condition to analyze the transmission problem where, at fixed frequency, a wave hits the interface between free space and a photonic crystal. We show that the vertical wave number of the incident wave is a conserved quantity. Together with the frequency condition for the transmitted wave, this condition leads (for appropriate photonic crystals) to the effect of negative refraction at the interface. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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