Dr Paul Kinsler. [Acknowledgements & Feedback]

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CONTINUUM MODEL OF THE OPTICAL MODES OF VIBRATION OF AN IONIC- CRYSTAL SLAB

*copied*

<>       AU: RIDLEY_BK, ALDOSSARY_O, CONSTANTINOU_NC, BABIKER_M
<>       NA: UNIV ESSEX,DEPT PHYS,WIVENHOE PK,COLCHESTER CO4 
<>           3SQ,ESSEX,ENGLAND
<>       JN: PHYSICAL REVIEW B-CONDENSED MATTER, 1994, Vol.50, No.16, 
<>           pp.11701-11709
<>       IS: 0163-1829
<>       AB: Optical vibrations of a thin ionic slab are described by a 
<>           macroscopic theory involving the hybridization of LO, TO, and 
<>           interface-polariton modes. The resultant modes are triple 
<>           hybrids, which satisfy both elastic and electromagnetic 
<>           boundary conditions at the two surfaces. Analytic expressions 
<>           are derived for the relative ionic displacements and related 
<>           electric fields, and for the dispersion relations, assuming 
<>           elastic isotropy and neglecting retardation effects. Comparison
<>           of mode patterns with those obtained by Fuchs and Kliewer, who 
<>           used electromagnetic boundary conditions only, show that Fuchs-
<>           Kliewer modes are a good approximation to the system of the 
<>           triple-hybrid modes our theory describes.
<>       KP: ELECTRON-PHONON INTERACTION, GAAS-ALAS SUPERLATTICES, QUANTUM-
<>           WELLS, DOUBLE HETEROSTRUCTURES, FROHLICH INTERACTION, 
<>           DISPERSION, SCATTERING

LO-phonon, TO-phonon, IP_phonon

They refer to optical strains S_{alpha beta} (defined below). However, they actually use T_{alpha beta}, the "elastic stress" as their boundary-condition, which they do not define (or reference), but which is related to S_{alpha beta}.

S_{alpha beta} = - (1 / 2) ( du_{alpha} / d{beta} + du_{beta} / d{alpha} )

alpha, beta = x, y, z

p11702: s-polarized TO-phonon modes have zero electric fields everywhere. Thus no hybidisation is required for this type of mode. ... NB: p-polarised TO-phonon

p11702: LO-phonon -- IP-phonon hybrid-phonons can satisfy EM boundary-conditions (DC-model) but cannot satisfy elastic conditions nwithout neglecting shear stress. The latter approach is the one adopted by Constantinou-AR-1993 (ref 30).

XINDEX: log-file, hybrid-phonon, boundary-condition, TO-phonon, Ridley-1993, Babiker-Z-1998, index-file, log-file.

19971209 10 11

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