The Design of Optical Filters

Epstein, Leon J.

doi:10.1364/josa.42.000806

Cited by 228 publications

(56 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…They form the basis of developing a variety of optical elements and devices including highreflectivity coatings, antireflective films, polarizing films, long-pass and short-pass filters, and beam splitters [1,2]. The refractive index (RI) is a very significant parameter for optical thin films.…”

Section: Introductionmentioning

confidence: 99%

Tuning optical properties of MOF-based thin films by changing the ligands of MOFs

et al. 2017

View full text Add to dashboard Cite

The preparation and development of novel optical thin films are of great importance to functional optical and opto-electric components requiring a low refractive index. In this study, a typical metal-organic framework (MOF), MIL-101(Cr), is selected as the research model. The corresponding MOF nanoparticles are prepared by a hydrothermal method and the optical thin films are successfully prepared by spincoating. The optical properties of the corresponding MOF thin films are controlled by changing the type of functional groups on the benzene ring of the ligand (terephthalic acid) on MOFs. The functional groups are hydrogen atoms (H), electron donating groups (-NH 2, -OH) and electron withdrawing groups (-NO 2, -(NO 2 ) 2 or F 4 ), respectively. It is found that the effective refractive index (n eff ) of MOF thin films decreases along with the increasing voids among MOF nanoparticles. In addition, the extinction coefficient (k) increases with the addition of electron donating groups, and decreases with the addition of electron withdrawing groups. Among the MOFs used in this study, the n eff of NO 2 -MIL-101(Cr) containing electron withdrawing groups is as low as~1.2, and value of k is particularly low, which suggests its potential application in antireflective devices. In addition, the intrinsic refractive index (n dense ) of the dense MOF materials evaluated according to their porosity increases with the number of the functional groups, and the n dense of the two nitro-substituted MOFs is greater than that of the single nitro-substituted one, and the latter is bigger than that of hydroxyl-substituted one, which is close to that of amino-functionalized one. The diversity of ligands in MOFs makes them a promising new generation of optical materials.

show abstract

Section: Introductionmentioning

confidence: 99%

Tuning optical properties of MOF-based thin films by changing the ligands of MOFs

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Let 2[ be any four element matrix of determinant unity and write with (Pauli spin matrices). Then, we obtain Following Herpin, we set whence we arrive at 2[",+1 = 8 ",[2][3][4][5][6][7][8] = 2a8m-l 2 [.…”

Section: The Mth Power Of a Matrix Of Unity Determinantmentioning

confidence: 99%

“…Eps tein's th eorem [4], according to which any symmetrical mulLilayer is equivalent to a fictitious monolaye r, was already m ention ed. Th e ind ex },;[m and Lhe t h ickncss B ,n of the monolayer corresponding to a p el'iodic-symmeLrical mulLilayer with equally thick films m ay now b e obLained as follow s:…”

Section: Layers Of Equal Thicknessmentioning

confidence: 99%

Use of Chebychev polynomials in thin film computations

Mielenz¹

1959

J. RES. NATL. BUR. STAN. SECT. A.

View full text Add to dashboard Cite

Fron. H erpin 's ex press ion for t he m th power of a mul til ayer matrix, very s impl e closed formu las a re derived for t he matrices and optical constants of any mul t ilayer with a p eriodi c s t ru cture.Acco rdin g to Epstein 's t heore m, a ny sy mm etri cal mu ltilayer is eq uivalen t to a fictitious monolayer. A simple ex press ion for th e equiva len t index and t hi ckn ess of this monolayer is d edu ced for t he case of a p eriodic and sy mmetrical sequen ce of equally t hick film s.As compared to a ny oth er method of numerical computation , the s ugges ted formul ation provides a cons iderable sa vin g of time a nd work . In a num eric al example, th is saving a mounts to a bou t 80 percen t.

show abstract

“…Transfer matrix methods have been largely studied in the literature from different approaches (Centurioni 2005 These methods have their roots in the classical study of characteristic matrices (dependent on Fresnel coefficients for interference systems or coherent case) which connect the electromagnetic field components at an interface (Abelès 1950, Born and Wolf 1959, Heavens 1960 and the application of the method to thin films (Epstein 1952, Francombe and Hoffman 1971, Herpin 1947, Thelen 1989. The reformulation of these matrices in terms of coefficients relating energy magnitudes (through, e.g., the Poynting vector) allows the definition of transfer matrices as proposed herein.…”

Section: Introductionmentioning

confidence: 99%

Optical model for multilayer glazing systems: Application to laminated glass and photovoltaic modules

Baenas

Machado

2016

Solar Energy

View full text Add to dashboard Cite

This article provides theoretical developments broadening the scope of previous optical simulation models for multilayer glazing systems. The applicability of existing models will be extended through additional characterization of the multilayer optical components from global spectrophotometric (UV-Vis-NIR) measurements. A more complete interlayer film characterization, including reflectivity in the film-glass interface, will be provided. Singular solutions of the related equation systems will be derived for situations involving components with very low or null transmissivity. As a contribution to the fundamentals of the formalism, the condition relating the symmetry of the transmittance of the system with the symmetry of the transmissivity of its optical components will be studied. Finally, with the extension for the calculation of energy fluxes through the components of a multilayer system, analytical expressions for the components absorptivity will be derived. These results are particularly useful to quantify differences in energy absorption of the constituents of a laminated glass, as a tool to define, from the glazing design phase, the thermal and mechanical processing needed for each glazing component. Additionally, the model provides a procedure for the calculation of the absorptivity of encapsulated photovoltaic cells, which is directly related to cell efficiency in each particular configuration.

show abstract

The Design of Optical Filters

Cited by 228 publications

References 6 publications

Tuning optical properties of MOF-based thin films by changing the ligands of MOFs

Tuning optical properties of MOF-based thin films by changing the ligands of MOFs

Use of Chebychev polynomials in thin film computations

Optical model for multilayer glazing systems: Application to laminated glass and photovoltaic modules

Contact Info

Product

Resources

About