Hybrid representations of asymmetrically excited surface plasmon self-interference at a planar dielectric/metal interface

Wendong Zou; Daijun Wang

doi:10.1364/JOSAA.36.001727

Journal of the Optical Society of America A
Vol. 36,
Issue 10,
pp. 1727-1734
(2019)
•https://doi.org/10.1364/JOSAA.36.001727

Hybrid representations of asymmetrically excited surface plasmon self-interference at a planar dielectric/metal interface

Wendong Zou and Daijun Wang

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Wendong Zou and Daijun Wang, "Hybrid representations of asymmetrically excited surface plasmon self-interference at a planar dielectric/metal interface," J. Opt. Soc. Am. A 36, 1727-1734 (2019)

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Abstract

We introduce a hybrid representation to describe asymmetrically excited surface plasmon (SP) self-interference at a planar dielectric/metal interface. The hybrid representation combines a ray model, angular spectrum representation, near-field spatial frequency analysis, and parameter characterization to investigate the incidence coupling and spatial resolution degradation of the SP self-interference. We also propose SP numerical aperture for self-interference virtual probe imaging. We explain the shift in the main peak in asymmetrical excitation. Individual models are used to study the various characteristic features in detail, and physical insights are gained. We examine the consistency of the results obtained using the different models and demonstrate the effectiveness of the hybrid representation for describing the asymmetrically excited SP self-interference.

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NA	0.90	0.95	1.00	1.05	1.1	1.2	1.3	1.4
$θ_{o d}$ (°)	83.30	85.68	88.14	$> 90$	$> 90$	$> 90$	$> 90$	$> 90$

	RR	ASR	NFSFF	PR
Difference	RR is used to describe the propagation of light ray (i.e., $k \to \infty$ ) at an interface.	ASR is used to describe the propagation and focusing of optical field in $k$ -space domain $k_{x^{'}}^{2} + k_{y^{'}}^{2} > k_{3}^{2}$ .	NFSFF is based on the Gabor criterion, $Δ k_{x} \cdot Δ x \geq 1$ . Therefore, the compression of $Δ k_{x}$ causes the spatial resolution degradation.	PR is used to describe the state of an effect (such as excitation, SPR, SP interference, etc.) by the characteristic parameters. Basically, we have $k_{sp} = k_{1} \sin θ_{sp}$ .
Connection	RR is the basis of ASR, NFSFF, and PR.	In ASR, we start with some basic RRs, such as the sine condition, intensity law and Snell’s law, etc.	NFSFF is used to estimate $[FWHM]_{min}$ , whereas ASR can be used to calculate $\bar{FWHM}$ , and we have the relation $[FWHM]_{min} < \bar{FWHM}$ .	PR is partly based on RR, ASR, and NFSFF.

NA	0.90	0.95	1.00	1.05	1.1	1.2	1.3	1.4
$θ_{o d}$ (°)	83.30	85.68	88.14	$> 90$	$> 90$	$> 90$	$> 90$	$> 90$

	RR	ASR	NFSFF	PR
Difference	RR is used to describe the propagation of light ray (i.e., $k \to \infty$ ) at an interface.	ASR is used to describe the propagation and focusing of optical field in $k$ -space domain $k_{x^{'}}^{2} + k_{y^{'}}^{2} > k_{3}^{2}$ .	NFSFF is based on the Gabor criterion, $Δ k_{x} \cdot Δ x \geq 1$ . Therefore, the compression of $Δ k_{x}$ causes the spatial resolution degradation.	PR is used to describe the state of an effect (such as excitation, SPR, SP interference, etc.) by the characteristic parameters. Basically, we have $k_{sp} = k_{1} \sin θ_{sp}$ .
Connection	RR is the basis of ASR, NFSFF, and PR.	In ASR, we start with some basic RRs, such as the sine condition, intensity law and Snell’s law, etc.	NFSFF is used to estimate $[FWHM]_{min}$ , whereas ASR can be used to calculate $\bar{FWHM}$ , and we have the relation $[FWHM]_{min} < \bar{FWHM}$ .	PR is partly based on RR, ASR, and NFSFF.

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Journal of the Optical Society of America A