JP2016047917A5 - - Google Patents

Description

In reference to the calculation of zero or near zero electric field points, FIG. 12 shows the total thickness “D”, the incremental thickness “d”, and the reflectance “n” on the substrate or central layer 2 with _{reflectance n s.} Represents the dielectric layer 4 having. The incident light hits the outer surface 5 of the dielectric layer 4 at an angle θ with respect to the line 6 perpendicular to the outer surface 5 and is reflected from the outer surface 5 at the same angle. The incident light passes through the outer surface 5 and _{enters the dielectric layer 4 at an angle θ F} with respect to the line 6 and hits the surface 3 of the base layer at an angle θ _s.

及びｐ偏光について：

したがって、ｓ偏光について、

及びｐ偏光について

である。 For one dielectric layer, when θs = θ _F and the electric field / electric field (E) is z = d, it can be expressed as E (z).
From Maxwell's equations, the electric field is about s-polarized light:

And p-polarized light:

Therefore, regarding s polarization,

And p-polarized light

Is.

ｓ偏光についてｑ_ｓ＝ｎ_ｓｃｏｓθ_ｓ（３９）
ｐ偏光についてｑ_ｓ＝ｎ_ｓ／ｃｏｓθ_ｓ（４０）
ｓ偏光についてｑ＝ｎｃｏｓθ_Ｆ （４１）
ｐ偏光についてｑ＝ｎ／ｃｏｓθ_Ｆ （４２）
φ＝ｋ・ｎ・ｄｃｏｓ（θ_Ｆ）（４３）
ｕ（ｚ）及びｖ（ｚ）は、下記のように表現することができる：

及び

及びｐ偏光について

ここで、

及び

It should be understood that the change in the electric field of the dielectric layer 4 in the z-axis direction can be estimated by calculating the unknown parameters u (z) and v (z) expressed as follows.

About s polarization q _s = n _s cos θ _s (39)
About p-polarized light q _s = n _s / cos θ _s (40)
About s polarization q = ncosθ _F (41)
About p-polarized light q = n / cosθ _F (42)
φ = k · n · dcos (θ _F ) (43)
u (z) and v (z) can be expressed as:

as well as

And p-polarized light

here,

as well as

これにより厚さ「ｄ」を、即ち、誘電体層中の電場がほぼゼロ又は最小値である場所を解くことができる。 Therefore , in the simple situation _{where θ F} = 0 or vertical incident, φ = k · n · d, and α = 0:

This makes it possible to solve the thickness "d", that is, the place where the electric field in the dielectric layer is almost zero or the minimum value.

Claims (6)

The reflector layer , the dielectric layer extending over the reflector layer, and the absorber layer extending over the dielectric layer are included, and the reflector layer, the dielectric layer, and the absorber layer are substantially flat. Layer, given a given half-width (FWMH) less than 200 nm and less than 30 ° in the CIELAB color space when exposed to wideband electromagnetic radiation and observed from an angle between 0 ° and 45 °. A weather-resistant coating containing a pigment that reflects one band of visible electromagnetic radiation having color shift and an oxide layer covering the outer surface of the pigment, and the photocatalytic activity of the pigment is the weather resistance. A weather resistant coating, which reduces by at least 50% compared to said pigments without a coating.
An omnidirectional structural color pigment having. The omnidirectional structural color pigment according to claim 1, wherein the oxide layer is selected from the group consisting of silicon oxide, aluminum oxide, zirconium oxide, titanium oxide, and cerium oxide. The omnidirectional coating according to claim 2, wherein the weather resistant coating has a first oxide layer and a second oxide layer, and the second oxide layer is different from the first oxide layer. Structural color pigment. The omnidirectional structural color pigment according to claim 3, wherein the second oxide layer is a mixed oxide layer which is a combination of two different oxides. The first oxide layer is silicon oxide, and the second oxide layer is a combination of at least two of the group consisting of silicon oxide, aluminum oxide, zirconium oxide, titanium oxide, and cerium oxide. The omnidirectional structural color pigment according to claim 3, which is a mixed oxide layer. The omnidirectional structural color pigment according to claim 1, wherein the pigment excluding the weather resistant coating does not contain an oxide layer.