Experimental Verifications and Applications of the Theory

Maystre, D.; Nevière, M.; Petit, R.

doi:10.1007/978-3-642-81500-3_6

Cited by 20 publications

(12 citation statements)

References 76 publications

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“…A parameter allowing comparison of the diffraction efficiency of gratings with differing pitches is the normalized depth or depth-to-pitch ratio (d/ g ). 34 Significant changes in the spontaneous emission rate of the dye molecules above the 415-nm-pitch gratings were only observed for amplitudes 30 nm and greater, corresponding to depth-to-pitch ratios in excess of 0.14, tallying well with the results of a previous study. 25 In that study, the aspect ratio of the shorter-pitch gratings was considerably greater than that of the longerpitch gratings, the depth-to-pitch ratio being 0.072 and 0.048 for the 800-nm-pitch gratings and 0.15 and 0.3 for the 400-nm-pitch gratings.…”

Section: Discussionsupporting

confidence: 88%

Molecular fluorescence above metallic gratings

Andrew

Barnes

2001

Phys. Rev. B

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We present measurements of the fluorescence of emitters located in close proximity (dϽ) to metallic grating surfaces. By measuring both the spontaneous emission lifetime and angle-dependent radiation pattern of a monolayer of dye molecules as a function of their separation from planar and periodically corrugated mirrors of increasing modulation depth, we are able to examine the effect of varying the surface profile on the emission process. Both the distance dependence of the lifetime and the spatial distribution of the emitted light are significantly changed upon the introduction of a corrugation, quite apart from the appearance of the familiar Bragg-scattered bound-mode features. It is postulated that these perturbations arise from the interference of the grating scattered dipole fields with the usual upward propagating and reflected fields. In addition, the measurement of nonexponential decay transients for the deepest gratings examined provide evidence for the existence of optically dissimilar dipole positions above the grating surface.

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Section: Discussionsupporting

confidence: 88%

Molecular fluorescence above metallic gratings

Andrew

Barnes

2001

Phys. Rev. B

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“…In Table 3 In what follows we present efficiency curves that correspond to configurations for which experimental data is available in the literature. For simplicity, we have used examples which have been reported in the review article [18]. …”

Section: Numerical Results and Comparison With Experimental Datamentioning

confidence: 99%

Numerical solution of diffraction problems: a method of variation of boundaries

1993

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We have recently introduced a method of variation of boundaries for the solution of diffraction problems. This method, which is based on a theorem of analyticity of the electromagnetic field with respect to variations of the interfaces, has been successfully applied in problems of diffraction of light by perfectly conducting gratings. In this paper we continue our investigation of diffraction problems. Using our previous results on analytic dependence with respect to the grating groove-depth, we present a new numerical algorithm which applies to dielectric gratings. We also incorporate Pade approximation in our numerics. This addition enlarges the domain of applicability of our methods, and it results in computer codes which can predict more accurately the response of diffraction gratings in the resonance region. In many cases, results are obtained which are several orders of magnitude more accurate than those given by other methods available at present, such as the integral or differential formalisms.We present a variety of numerical applications, including examples for several types of grating profiles and for wavelengths of light ranging from microwaves to ultraviolet, and we compare our results with experimental data. We also use Pade approximants to gain insight on the analytic structure and the spectrum of singularities of the fields as functions of the groove-depth. Finally, we discuss some connections between Pade approximation and another summation mechanism, enhanced convergence, which we introduced earlier. It is argued that, provided certain numerical difficulties can be overcome, the performance of our algorithms could be further improved by a combination of these summation methods.

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“…If Ald < 2/3, then only the 0 and -1 order waves are diffracted. The depth of the grooves (h) determines the efficiency of the -1 grating order and can be chosen such that efficiency of the -1 order is 100% for the TM polarization and an ideal grating [29].…”

Section: Iii-d Frequency Selective Resonatormentioning

confidence: 99%

“…For example, the n = -1 efficiency of an ideal rectangular groove grating is 100% for the TM polarization when h/d = 0.2 and A/d -1.5 [29]. The design of a grating for the maser resonator must account for the curved surface of the gaussian mode wavefront.…”

Section: Iii-d Frequency Selective Resonatormentioning

confidence: 99%

New results and applications for the quasioptical gyrotron*

Fliflet

Fischer

Manheimer

1993

Physics of Fluids B: Plasma Physics

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Experimental Verifications and Applications of the Theory

Cited by 20 publications

References 76 publications

Molecular fluorescence above metallic gratings

Molecular fluorescence above metallic gratings

Numerical solution of diffraction problems: a method of variation of boundaries

New results and applications for the quasioptical gyrotron*

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