Unified theory of total reflection phenomena at a dielectric interface

1973 ◽  
Vol 1 (1) ◽  
pp. 31-38 ◽  
Author(s):  
B. R. Horowitz ◽  
T. Tamir
Keyword(s):  
Total Reflection ◽  
Unified Theory ◽  
Dielectric Interface

scholarly journals Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited

Nanomaterials ◽  
2021 ◽  
Vol 11 (11) ◽  
pp. 3063
Author(s):  
Heongkyu Ju
Keyword(s):  
Phase Shift ◽  
Surface Plasmon ◽  
Spectral Dependence ◽  
Total Reflection ◽  
Attenuated Total Reflection ◽  
Dielectric Interface ◽  
Physical Causality ◽  
Absorptive Medium ◽  
Plasmon Polaritons ◽  
Kronig Relation

The applicability of the Kramers–Kronig relation for attenuated total reflection (ATR) from a metal–dielectric interface that can excite surface plasmon polaritons (SPP) is theoretically investigated. The plasmon-induced attenuation of reflected light can be taken as the resonant absorption of light through a virtual absorptive medium. The optical phase shift of light reflected from the SPP-generating interface is calculated using the KK relation, for which the spectral dependence of ATR is used at around the plasmonic resonance. The KK relation-calculated phase shift shows good agreement with that directly obtained from the reflection coefficient, calculated by a field transfer matrix formula at around the resonance. This indicates that physical causality also produces the spectral dependence of the phase of the leakage field radiated by surface plasmons that would interfere with the reflected part of light incident to the interface. This is analogous with optical dispersion in an absorptive medium where the phase of the secondary field induced by a medium polarization, which interferes with a polarization-stimulating incident field, has a spectral dependence that stems from physical causality.

Contribution of x-ray total reflection to the background intensity in EPMA

1990 ◽  
Vol 48 (2) ◽  
pp. 202-203
Author(s):  
Werner P. Rehbach ◽  
Peter Karduck
Keyword(s):  
Atomic Number ◽  
Target Material ◽  
Total Reflection ◽  
Background Intensity ◽  
X Rays ◽  
Characteristic Radiation ◽  
X Ray

In the EPMA of soft x rays anomalies in the background are found for several elements. In the literature extremely high backgrounds in the region of the OKα line are reported for C, Al, Si, Mo, and Zr. We found the same effect also for Boron (Fig. 1). For small glancing angles θ, the background measured using a LdSte crystal is significantly higher for B compared with BN and C, although the latter are of higher atomic number. It would be expected, that , characteristic radiation missing, the background IB (bremsstrahlung) is proportional Zn by variation of the atomic number of the target material. According to Kramers n has the value of unity, whereas Rao-Sahib and Wittry proposed values between 1.12 and 1.38 , depending on Z, E and Eo. In all cases IB should increase with increasing atomic number Z. The measured values are in discrepancy with the expected ones.

A Unified Theory of Voting

1999 ◽  
Author(s):  
Samuel Merrill, III ◽  
Bernard Grofman
Keyword(s):  
Unified Theory

A Unified Theory of Party Competition

2005 ◽  
Author(s):  
James F. Adams ◽  
Samuel Merrill III ◽  
Bernard Grofman
Keyword(s):  
Party Competition ◽  
Unified Theory

Fledgling Steps Toward a Unified Theory of Job Design

1983 ◽  
Vol 28 (4) ◽  
pp. 309-310
Author(s):  
Bronston T. Mayes
Keyword(s):  
Job Design ◽  
Unified Theory

Toward a Unified Theory of Judgment and Behavior

1982 ◽  
Vol 27 (12) ◽  
pp. 929-930
Author(s):  
Kent L. Norman
Keyword(s):  
Unified Theory ◽  
And Behavior
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