A treatment of the general volume holographic grating as an array of parallel stacked mirrors

Brotherton-Ratcliffe, David

doi:10.1080/09500340.2012.695405

Cited by 13 publications

(10 citation statements)

References 16 publications

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“…It should be pointed out here that an approximation of constant ray direction has been made in arriving at these equations and as such they constitute an approximate solution of Maxwell's equations [3]. We may now apply a similar method to that applied to the normal-incidence case in Section 2.…”

Section: Unslanted Gratings At Oblique Incidencementioning

confidence: 94%

“…(6) must be replaced by the following more general PSM Equations. [3,6] which are valid for a σ-polarization:…”

Section: Unslanted Gratings At Oblique Incidencementioning

confidence: 98%

“…Following [3] and assuming that the individual gratings labeled by the subscript k have very different spatial frequencies, Eq. (12) then reduce to…”

Section: Unslanted Multichromatic Gratings At Normal Incidencementioning

confidence: 99%

“…Current analytic models of diffraction in volume gratings only describe gratings having a constant fringe contrast [2,3]. Here we shall use the parallel stacked mirror model (PSM) [3][4][5][6][7][8][9] to develop analytic expressions for the diffraction efficiency at Bragg resonance describing gratings with a very general fringe contrast profile.…”

Section: Introductionmentioning

confidence: 99%

“…Here we shall use the parallel stacked mirror model (PSM) [3][4][5][6][7][8][9] to develop analytic expressions for the diffraction efficiency at Bragg resonance describing gratings with a very general fringe contrast profile. In particular we shall show that at Bragg resonance, a reflection grating possessing a general analytic fringe contrast profile exhibits the same diffractive properties as an equivalent grating of constant fringe contrast but of differing thickness.…”

Section: Introductionmentioning

confidence: 99%

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Diffraction in volume reflection gratings with variable fringe contrast

et al. 2015

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The PSM model is used to analyze the process of diffraction occurring in volume reflection gratings in which fringe contrast is an arbitrary function of distance within the grating. General analytic expressions for diffraction efficiency at Bragg resonance are obtained for unslanted panchromatic lossless reflection gratings at oblique incidence. These formulas are then checked for several diverse fringe contrast profiles with numerical solutions of the Helmholtz equation, where exceptionally good agreement is observed. Away from Bragg resonance, the case of the hyperbolically decaying fringe contrast profile is shown to lead to an analytic expression for the diffraction efficiency and this is again compared successfully with numerical solutions of the Helmholtz equation.

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Section: Unslanted Gratings At Oblique Incidencementioning

confidence: 94%

“…(6) must be replaced by the following more general PSM Equations. [3,6] which are valid for a σ-polarization:…”

Section: Unslanted Gratings At Oblique Incidencementioning

confidence: 98%

“…Following [3] and assuming that the individual gratings labeled by the subscript k have very different spatial frequencies, Eq. (12) then reduce to…”

Section: Unslanted Multichromatic Gratings At Normal Incidencementioning

confidence: 99%