The present specification generally relates to multilayer interference thin films for displaying high chroma red structural colors and, more specifically, multilayer interference thin films for displaying high chroma red structural colors in an omnidirectional manner.
Pigments made from multilayer structures are known. In addition, pigments that exhibit or provide a high chroma omnidirectional structural color are also known. Such pigments have required as many as 39 dielectric layers to obtain desired color properties and costs associated with production of multilayer pigments is proportional to the number of thin film layers. Accordingly, production of high chroma omnidirectional structural colors using multilayer thin films of dielectric materials can be cost prohibitive. The design of red color pigments face an additional hurdle to pigments of other colors such as blue, green, etc. Specifically, the control of angular independence for a red color is difficult since thicker dielectric layers are required, which results in a high harmonic design, i.e. the presence of the second and possible third harmonics is inevitable. Also, the hue space in Lab color space for dark red colors is very narrow and multilayer thin film that displays a red color has a higher angular variance.
Accordingly, a need exists for alternative multilayer interference thin films that have a reduction in the number of layers and reflect high chroma red structural colors in an omnidirectional manner.
In one embodiment, a multilayer interference thin film that reflects an omnidirectional high chroma red structural color may include a multilayer thin film having a reflector layer, at least one absorber layer extending across the reflector layer, and an outer dielectric layer extending across the at least one absorber layer. The outer dielectric layer has a thickness of less than or equal to 2.0 quarter wave (QW) of a center wavelength of a single narrow band of visible light reflected by the multilayer thin film. The single narrow band of visible light has a visible full width half maximum (visible FWHM) width of less than 300 nanometers (nm), a red color between 0 and 30° on a Lab color space, and a hue shift of less than 30° on the Lab color space when the multilayer thin film is viewed at angles between 0-45° relative to a direction that is normal to an outer surface of the outer dielectric layer.
In another embodiment, an omnidirectional high chroma red structural color multilayer thin film for reflecting a red color that does not change appearance to a human eye when viewed at different angles may include a multilayer thin film with a reflector layer, a dielectric absorber layer extending across the reflector layer, a transparent absorber layer extending across the dielectric absorber layer and an outer dielectric layer extending across the transparent absorber layer. The outer dielectric layer has a thickness of less than or equal to 2.0 QW of a center wavelength of a single narrow band of visible light reflected by the multilayer thin film. The single narrow band of visible light has a visible FWHM width of less than 200 nm, a red color between 0 and 30° on a Lab color space, and a hue shift of less than 30° on the Lab color space when the multilayer thin film is viewed at angles between 0-45° relative to a direction that is normal to an outer surface of the outer dielectric layer. The dielectric absorber layer is made from at least one of an oxide and a nitride and has a thickness between 5-500 nm. The transparent absorber layer is made from at least one of chromium (Cr), germanium (Ge), nickel (Ni), stainless steel, titanium (Ti), silicon (Si), vanadium (V), titanium nitride (TiN), tungsten (W), molybdenum (Mo), niobium (Nb), and iron oxide (Fe2O3), and has a thickness between 5-20 nm.
These and additional features provided by the embodiments described herein will be more fully understood in view of the following detailed description, in conjunction with the drawings.
The embodiments set forth in the drawings are illustrative and exemplary in nature and not intended to limit the subject matter defined by the claims. The following detailed description of the illustrative embodiments can be understood when read in conjunction with the following drawings, where like structure is indicated with like reference numerals and in which:
The multilayer thin film structures described herein may be used to omnidirectionally reflect wavelengths within the red spectrum of visible light over a range of angles of incidence or viewing. It will be understood that the terms “electromagnetic wave,” “electromagnetic radiation,” and “light,” as used herein, may interchangeably refer to various wavelengths of light incidence on a multilayer thin film structure and that such light may have wavelengths in the ultraviolet (UV), infrared (IR), and visible portions of the electromagnetic spectrum.
Referring to
Referring to
In embodiments, an additional transparent absorber layer extends between the absorber layer and the outer dielectric layer. The location of the transparent absorber layer is chosen to increase the absorption of light wavelengths less than or equal to 550 nm but reflect light wavelengths of approximately 650 nm. Accordingly, the transparent absorber layer is placed at a thickness where the electric field (|E|2) is less at the 550 nm wavelength than at the 650 nm wavelength. Mathematically, this can be expressed as:
|E550|2<<|E650|2 (1)
and preferably:
|E650|2≈0 (2)
In embodiments,
{right arrow over (E)}(d)={u(z),0,0}exp(ikαy)|z=d (3)
and for p polarization as:
and λ is a desired wavelength to be reflected. Also, α=ns sin θs where ‘s’ corresponds to the substrate in
|E(d)|2=|u(z)|2exp(2ikαy)|z=d (5)
for s polarization and
for p polarization.
It is appreciated that variation of the electric field along the Z direction of the dielectric layer 4 can be estimated by calculation of the unknown parameters u(z) and v(z) where it can be shown that:
where ‘i’ is the square root of −1. Using the boundary conditions u=|z=0=1, v|z=0=qs, and the following relations:
qs=ns cos θs for s-polarization (8)
qs=ns/cos θs for p-polarization (9)
q=n cos θF for s-polarization (10)
q=n/cos θF for p-polarization (11)
φ=k·n·d cos(θF) (12)
u(z) and v(z) can be expressed as:
Therefore:
for s polarization with φ=k·n·d cos (θF), and:
for p polarization where:
Thus for a simple situation where θF=0 or normal incidence, φ=k·n·d, and α=0:
which allows for the thickness ‘41’ to be solved for, i.e. the position or location within the dielectric layer where the electric field is zero. It is appreciated that the thickness ‘41’ can also be the thickness of a dielectric layer extending over an absorber layer that provides a zero or near zero electric field at the interface between the dielectric layer and the absorber.
Referring to
Referring to
Referring now to
Referring now to
Referring now to
Referring now to
Both the 0° and 45° curves in the
Referring to
The multilayer thin films in embodiments disclosed herein can be used as pigments, e.g. paint pigments for a paint used to paint an object, or a continuous thin film applied to an object. When used as pigments, paint binders, fillers, etc., can be used and mixed with the pigments to provide a paint that displays an omnidirectional high chroma red structural color. It is noted that the terms “substantially” and “about” may be utilized herein to represent the inherent degree of uncertainty that may be attributed to any quantitative comparison, value, measurement, or other representation. These terms are also utilized herein to represent the degree by which a quantitative representation may vary from a stated reference without resulting in a change in the basic function of the subject matter at issue.
While particular embodiments have been illustrated and described herein, it should be understood that various other changes and modifications may be made without departing from the spirit and scope of the claimed subject matter. Moreover, although various aspects of the claimed subject matter have been described herein, such aspects need not be utilized in combination. It is therefore intended that the appended claims cover all such changes and modifications that are within the scope of the claimed subject matter.
The instant application is a continuation-in-part (CIP) of U.S. patent application Ser. Nos. 14/793,117; 14/793,123; 14/793,133, all of which filed on Jul. 7, 2015, all of which are CIPs of U.S. patent application Ser. No. 14/607,933 filed on Jan. 28, 2015, all of which are incorporated in their entirety by reference.
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Number | Date | Country | |
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20160245969 A1 | Aug 2016 | US |
Number | Date | Country | |
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Parent | 14793117 | Jul 2015 | US |
Child | 15144283 | US | |
Parent | 14607933 | Jan 2015 | US |
Child | 14793117 | US | |
Parent | 15144283 | May 2016 | US |
Child | 14793117 | US | |
Parent | 14793123 | Jul 2015 | US |
Child | 15144283 | US | |
Parent | 14607933 | Jan 2015 | US |
Child | 14793123 | US | |
Parent | 15144283 | May 2016 | US |
Child | 14793123 | US | |
Parent | 14793133 | Jul 2015 | US |
Child | 15144283 | US | |
Parent | 14607933 | Jan 2015 | US |
Child | 14793133 | US |