Measurements of surface roughness of polyolefin films by atomic force microscopy.

Kikuta, Yoshikazu; Miyasaka, Yoshihiko; Asuke, Tetsuya; Yamanashi, Hiroaki; Taka, T

doi:10.2116/bunsekikagaku.45.347

Cited by 4 publications

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“…Owing to the importance of surface finish in visual appearance and optical performance of materials, the more intensive research has been carried out in the study of the correlation of the surface roughness and the transmission/reflection haze. From an experimental point of view, a linear relationship between haze and the root-mean-square roughness has been reported [43][44][45]. On the other hand, many optical models have been derived for the correlation of the total integrated scattering of light (in transmission and reflection) with the surface roughness in multiple optical systems [46][47][48].…”

Section: Correlation Between Microscratching and Bayer Testmentioning

confidence: 99%

Microscratch resistance of ophthalmic coatings on organic lenses

Caro

Cuadrado

González

et al. 2011

Surface and Coatings Technology

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Section: Correlation Between Microscratching and Bayer Testmentioning

confidence: 99%

Microscratch resistance of ophthalmic coatings on organic lenses

Caro

Cuadrado

González

et al. 2011

Surface and Coatings Technology

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“…From the definition, Eqs. (17), it follows that haze is a dimensionless number between zero and one [65]. Furthermore, notice that an ideal scattering system, i.e., one with no surface or bulk randomness, will correspond to a haze value of H(θ 0 ) = 0 for all angles of incidence, since all light will be reflected or transmitted into the specular direction [66].…”

Section: A Definition Of Hazementioning

confidence: 99%

“…From a practical point of view, a more likely scenario for a strongly random system is probably that of a Lambertian diffuser [53], i.e., a scattering system giving raise to ∂U/∂θ ∝ cos θ independent of angle of incidence. For such a scenario, haze at normal incidence will be H(0) = 1 − sin ∆θ ≃ 0.956 < 1 according to the definition (17). For naturally occurring surfaces this is probably a more realistic upper limit of haze.…”

Section: A Definition Of Hazementioning

confidence: 99%

“…In many situations encountered in practical applications of the concept of haze, it is illuminative to have available an approximate expression to the formal definition (17). Often the dependence on various parameters on that haze will depend, can be made more apparent via approximate expressions.…”

Section: B a Naive Approximation To Hazementioning

confidence: 99%

“…In the numerical simulation results for haze to be presented below, one will first calculate ∂U/∂θ and then, by numerical integration, calculate haze directly from Eq. (17). An example of a mean differential reflection coefficient curve, obtained by numerical simulations for a polymer material, is given in Fig.…”

Section: A Comparison To Monte Carlo Simulationsmentioning

confidence: 99%

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Haze of surface random systems: An approximate analytic approach

et al. 2009

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Approximate analytic expressions for haze (and gloss) of Gaussian randomly rough surfaces for various types of correlation functions are derived within phase-perturbation theory. The approximations depend on the angle of incidence, polarization of the incident light, the surface roughness, σ, and the average of the power spectrum taken over a small angular interval about the specular direction. In particular it is demonstrated that haze(gloss) increase(decrease) with σ/λ as exp(−A(σ/λ)2 ) and decreases(increase) with a/λ, where a is the correlation length of the surface roughness, in a way that depends on the specific form of the correlation function being considered. These approximations are compared to what can be obtained from a rigorous Monte Carlo simulation approach, and good agreement is found over large regions of parameter space. Some experimental results for the angular distribution of the transmitted light through polymer films, and their haze, are presented and compared to the analytic approximations derived in this paper. A satisfactory agreement is found. In the literature haze of blown polyethylene films has been related to surface roughness. Few authors have quantified the roughness and other have pointed to the difficulty in finding the correct roughness measure.

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Scanning Probe Microscopy

Bottomley

1998

Anal. Chem.

104

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Lesson: Scanning Probe Microscopy: "feeling" what you can't see at the nanometer scale Standards:HS-PS1-3. Plan and conduct an investigation to gather evidence to compare the structure of substances at the bulk scale to infer the strength of electrical forces between particles.HS-PS2-6. Communicate scientific and technical information about why the molecular-level structure is important in the functioning of designed materials.HS-PS2-1. Analyze data to support the claim that Newton's second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration.HS-ETS1-2. Design a solution to a complex real-world problem by breaking it down into smaller, more manageable problems that can be solved through engineering.

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Measurements of surface roughness of polyolefin films by atomic force microscopy.

Cited by 4 publications

References 0 publications

Microscratch resistance of ophthalmic coatings on organic lenses

Microscratch resistance of ophthalmic coatings on organic lenses

Haze of surface random systems: An approximate analytic approach

Scanning Probe Microscopy

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