The effect of interfacial roughness on the normal incidence bandgap of one-dimensional photonic crystals

Maskaly, Karlene Rosera; Carter, W. Craig; Averitt, R. D.; Maxwell, James

doi:10.1364/opex.13.008380

Cited by 10 publications

(11 citation statements)

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“…Fabrication conditions can be modified to introduce defects in these structures [31,34]. The effect of roughness at the interface between the layers in a 1D photonic crystal on the optical properties is also investigated [36].…”

Section: Methods Of Fabrication Of Photonic Crystalsmentioning

confidence: 99%

Photonic crystal sensors: An overview

Nair

Vijaya

2010

Progress in Quantum Electronics

319

154

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Section: Methods Of Fabrication Of Photonic Crystalsmentioning

confidence: 99%

Photonic crystal sensors: An overview

Nair

Vijaya

2010

Progress in Quantum Electronics

319

154

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“…Until recently, the real optical behavior of such structures was not easily predictable using traditional techniques, such as the transfer matrix method. 6 However, in several recent papers, 7,8 we have proposed a method to predict the normal incidence reflectivity of rough 1DPCs using the homogenization approximation 9 in conjunction with the transfer matrix technique. As of yet, this theory has not been verified through comparison with experimental data.…”

mentioning

confidence: 99%

“…Therefore, traditional simulation techniques, such as one-dimensional transfer matrix, 6 cannot be used to accurately predict the real optical behavior of this structure directly. Thus, we have used our previously proposed method 7,8 to calculate the theoretical reflectivity spectrum of this structure at normal incidence. This was done by using a modified version ͑to account for the dispersion of the glass slide͒ of the code in Appendix A of Ref.…”

mentioning

confidence: 99%

“…This was done by using a modified version ͑to account for the dispersion of the glass slide͒ of the code in Appendix A of Ref. 13. Our theory 7,8 posits that the optical behavior of a rough 1DPC at normal incidence will be equivalent to the response of a 1DPC with a diffuse refractive index profile, where the inhomogeneity of the refractive index at the rough interfaces is averaged out. A three-step process was used to implement this theory on the fabricated structure.…”

mentioning

confidence: 99%

“…In conclusion, a 1DPC tuned to reflect the red, green, and blue portions of the spectrum was fabricated through the holographic exposure of a prepolymer syrup. Our previously reported technique 7,8 for calculating the normal incidence reflectance spectrum of rough 1DPCs was employed to calculate the theoretical reflectivity of the fabricated grating. The calculated spectrum matched the experimental one extremely well for wavelengths above about 530 nm.…”

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confidence: 99%

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Experimental verification of the applicability of the homogenization approximation to rough one-dimensional photonic crystals using a holographically fabricated reflection grating

Maskaly

Hsiao

Cartwright

et al. 2006

Journal of Applied Physics

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The theoretical reflectance spectrum of a one-dimensional photonic crystal with large amounts of interfacial roughness has been calculated using a previously proposed method, and compared to the actual experimental reflectivity of the structure. The photonic crystal was fabricated using a simple and fast method involving the holographic exposure of a liquid crystal/photosensitive prepolymer syrup via the self-interference patterns from two laser beams. The calculated reflectance spectrum for this structure matched the experimental one extremely well, giving very similar reflectivity peak positions and intensities. Slight discrepancies between the two reflectance spectra are attributed to either small variations in the microstructure of the reflection grating beyond that which is captured in the transmission electron micrograph, or the dispersion of the polymer which was not taken into account. These results serve as experimental verification of the theory for rough photonic crystals reported previously.

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Interfacial Engineering Approach to Pattern Resilient Polymer Photonic Crystals with Temperature‐Responsive Optical Properties

Robertson

Obando

Qiang

2022

Adv Materials Inter

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structures, which are stacks of alternating layers of high and low refractive index domains. At the interfaces of these domains, a portion of incident light can be reflected. The amount of reflecting light at each interface is dependent upon the contrast between the refractive index of the distinct layers, while the wavelengths that are in-phase upon reflection are determined by the product of refractive index and thickness of each layer.In general, assembly of 1D-PCs can be accomplished through bottom-up and top-down approaches, where the latter involves subsequent depositions of alternating layers, providing the ability to precisely control the reflecting wavelengths without sophisticated syntheses that are typically required in bottomup methods. [11][12][13] Many model systems have been demonstrated for constructing 1D-PCs through layer-by-layer casting, with an essential requirement that selected polymers need to have orthogonal solubilities or be crosslinkable for preventing possible film loss from dissolution. [14][15][16][17][18] However, further implementing these systems into practical applications would demand additional functionalities, preferably incorporated either through intrinsic material properties and/or simple processing methods. For example, producing patterns on 1D PC films is needed for display-relevant applications. [19,20] Previous approaches for achieving this goal often involve a combination of different synthesis and processing steps including functionalization with reactive units, [21] photolithography, [22] and crosslinking processes. [23] In these cases, portions of 1D-PCs can be removed, leaving patterns on the substrate where structural color can be present. A recent study introduced a method of generating patterns in polymer photonic crystal films through light induced, in-film polymerization of a block copolymer (BCP) to selectively swell domain sizes in desired regions of the film. [20,24] While this technology can be broadly applied to different BCP systems, it involves a batch process (closed chamber system) and requires inert atmospheres for radical polymerization, potentially hindering their scalability. Therefore, development of simple and effective methods for patterning 1D-PCs is highly desired for broadening the applications of 1D polymer PCs at large scales. Planar, 1D photonic crystals (1D-PCs) are stacks of alternating layers with different refractive indices, which can reflect specific wavelengths of light through the formation of a photonic bandgap. Typical systems for 1D-PC fabrication possess relatively limited thermal and/or chemical stabilities and may require several steps for producing patterned features. Additionally, enabling stimuli-responsive behaviors in 1D-PCs are often achieved through relatively complex chemistries that might be difficult to scale-up due to associated cost and energy consumption, presenting challenges toward their implementation in practical systems. Herein, through sequential depositions of phenolic resin (resol) and poly(vinylidene f...

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The effect of interfacial roughness on the normal incidence bandgap of one-dimensional photonic crystals

Cited by 10 publications

References 0 publications

Photonic crystal sensors: An overview

Photonic crystal sensors: An overview

Experimental verification of the applicability of the homogenization approximation to rough one-dimensional photonic crystals using a holographically fabricated reflection grating

Interfacial Engineering Approach to Pattern Resilient Polymer Photonic Crystals with Temperature‐Responsive Optical Properties

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