Coupled-wave theory for multiply exposed thick holographic gratings

Case, Steven K.

doi:10.1364/josa.65.000724

Cited by 86 publications

(31 citation statements)

References 5 publications

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“…There are analytical methods covering cross-coupling and intergrating interference for dual-grating monochromatic systems [13][14][15]. In addition, there are methods covering the more general case of polychromatic systems [16].…”

Section: Multiplexed Grating Systemsmentioning

confidence: 99%

Channel density and efficiency optimization of spectral beam combining systems based on volume Bragg gratings in sequential and multiplexed arrangements

Ingersoll

Leger

2015

Appl. Opt.

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Spectral-beam-combining (SBC) systems utilizing multiple volume Bragg gratings must be carefully analyzed to maximize channel density and efficiency, and thus output radiance. This analysis grows increasingly difficult as the number of channels in the system increases, and heuristic optimization techniques are useful tools for exploring the limits of these systems. We explore three classes of multigrating SBC systems: cascaded, where each grating adds a new channel to the system in sequence; sandwiched, where several individual gratings are placed together and all channels enter the system at the same facet; and multiplexed, where all of the gratings occupy the same holographic optical element (HOE). Loss mechanisms differ among these three basic classes, and our optimization algorithm shows that the highest channel density for a given minimum efficiency and fixed operating bandwidth is achieved for a cascaded grating system. The multiplexed grating system exhibits the lowest channel density under the same constraints but has the distinct advantage of being realized by a single HOE. For a particular application, one must weigh channel density and efficiency versus system complexity when choosing among these basic classes of SBC systems. Additionally, one may need to consider the effects of finite-width input beams. As input beam radius is reduced, angular clipping effects begin to dominate over spectral interference and crosstalk effects, limiting all three classes of SBC systems in a similar manner.

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Section: Multiplexed Grating Systemsmentioning

confidence: 99%

Channel density and efficiency optimization of spectral beam combining systems based on volume Bragg gratings in sequential and multiplexed arrangements

Ingersoll

Leger

2015

Appl. Opt.

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“…Subsequently, Alferness and Case studied cross coupling (i.e., an input wave being coupled to multiple output waves) in two-grating monochromatic systems. Their mathematical methods were based on the so-called thin-grating decomposition [9,10] or involved special cases of monochromatic two-grating systems for which analytical solutions of the coupled wave equations could be found [11].…”

Section: Introductionmentioning

confidence: 99%

Spectral interference in multiplexed volume Bragg gratings: theoretical calculations and experimental verification

Ingersoll

Leger

2014

Appl. Opt.

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Multiplexed volume Bragg gratings can be applied to many types of broad- and narrowband spectral systems. However, there are often deleterious side effects to combining several gratings into a single holographic optical element, including loss of efficiency in diffracted waves of interest and the introduction of spurious waves. Design of these spectral systems requires analysis methods that are flexible and efficient and that take these side effects into account. We present a matrix-based algorithm for determining diffraction efficiencies of significant coupled waves in these multiplexed grating Holographic optical elements (HOEs). Several carefully constructed experiments with spectrally multiplexed gratings in dichromated gelatin verify our conclusions.

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“…As a simplification to RCWA, in multiwave coupled wave method, second-order derivatives of amplitude variations of diffraction waves are assumed to be small, and therefore neglected [8]- [10]. This approximation reduces computations necessary for the analysis, and is unconditionally stable.…”

Section: Introductionmentioning

confidence: 99%

Pure Coupled Mode Analysis of Diffraction by Isotropic Transmission Volume Gratings

Momeni

Rashidian²

2004

IEEE Trans. Antennas Propagat.

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The idea of pure coupled mode approach is extended to the analysis of volume grating structures. In this approach, diffraction orders inside the grating are expanded over TE and TM components and unperturbed wavevectors are used instead of Floquet wavevectors of conventional coupled wave approach. Coupling between these orders are considered to model the diffraction. Three-dimensional grating structures are analyzed, and comparisons with rigorous coupled wave analysis are made to verify the accuracy and determine the range of applicability of the proposed method.

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Coupled-wave theory for multiply exposed thick holographic gratings

Cited by 86 publications

References 5 publications

Channel density and efficiency optimization of spectral beam combining systems based on volume Bragg gratings in sequential and multiplexed arrangements

Channel density and efficiency optimization of spectral beam combining systems based on volume Bragg gratings in sequential and multiplexed arrangements

Spectral interference in multiplexed volume Bragg gratings: theoretical calculations and experimental verification

Pure Coupled Mode Analysis of Diffraction by Isotropic Transmission Volume Gratings

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