Selective light transmitting window glazings and methods of design and manufacture

1. A method of designing a light absorbing, substantially non-reflecting transparent window glazing, the method comprising:

determining a geographical area for the window glazing that has a base surface and one or more light absorbing surface and light transmitting surface pairs that together form a ridge, the light absorbing surface being about 90 degrees with respect to the base and forming a top surface of each ridge;

obtaining an eigenvalue α for noon during summer solstice for the geographical location;

obtaining an eigenvalue β for noon during winter solstice for the geographical location;

determining a substantially non-reflective light absorbing coating to be applied to each light absorbing surface;

inputting the eigenvalues α and β into a computing system that has equations for calculating the window glazing to have substantially zero (0) or minimum light transmission when the window glazing is vertical and facing between east to south to west at noon of summer solstice for the geographical location when north of the equator or facing between east to north to west at noon of summer solstice for the geographical location when south of the equator and/or the window glazing to have substantially 100% or maximum light transmission when the window glazing is vertical and facing between east to south to west at noon of winter solstice for the geographical location when north of the equator or facing between east to north to west at noon of winter solstice for the geographical location when south of the equator; and

computing, with the computing system, a design of the one or more ridges for the window glazing with the equations based on the eigenvalues α and β and zero reflectivity of light absorbing surfaces and light transmitting surfaces, each of the one or more ridges including a light absorbing surface that protrudes away from a base to a tip formed with a light transmitting surface sloped downward from the tip toward the base, each light absorbing surface having the substantially non-reflective light absorbing coating so as to form an outermost surface on each of the one or more light absorbing surfaces, the light absorbing coating being substantially non-reflective that reflects less than 10% of sunlight.

2. The method of claim 1 , comprising calculating values of parameters of the ridge with Equation 1 and Equation 2:

T=T 0 −a/b tan Θ φ   Equation 1

Θ φ=tan −1 (tan Θ/sin φ)  Equation 2

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π.

3. The method of claim 1 , comprising calculating values of parameters of the ridge with Equation 1, and Equation 3:

T=T 0 −a/b tan Θ φ   Equation 1

Θ φ =tan −1 (tan Θ/sin(φ+ω))  Equation 3

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

ω is an angle between due east and the base surface;

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π,

wherein if 2π>φ+ω>π, then T is zero (0).

4. The method of claim 3 , wherein if the base surface is normal to due east, then ω=π/2 and Equation 4 is used in place of Equation 3

Θ 100 =tan −1 (tan Θ/sin(φ+π/2))  Equation 4.

5. The method of claim 1 , comprising calculating values of parameters of the ridge with Equation 1, and Equation 5:

T=T 0 −a/b tan Θ φ   Equation 1

Θ φ=tan −1 (tan Θ/sin(φ+3π/2))  Equation 5

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

ω is 3π/2;

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π,

wherein if 2π>φ+ω>π, then T is zero (0).

6. The method of claim 1 , comprising calculating values of parameters of the ridge with Equation 1, and Equation 7:

T=T 0 −a/b tan Θ φ   Equation 1

Θ φ =tan −1 (tan(Θ−δ)/sin(φ+ω))  Equation 7

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

ω is an angle between due east and the base surface;

δ is an angle between the base surface and vertical;

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π.

7. A method of manufacturing a transparent window glazing, the method comprising:

obtaining the design of the light absorbing, substantially non-reflecting transparent window glazing of claim 1 , the design including:

dimensions of the one or more light absorbing surfaces; and

dimensions of the one or more light transmitting surfaces; and

manufacturing the transparent window glazing.

8. The method of claim 7 , comprising determining a geographical location for the window to be utilized and designing the window glazing for the geographical location.

9. The method of claim 7 , comprising:

preparing a sol-gel composition having tetraalkoxysilane;

casting the sol-gel composition so as to have a surface geometry of the designed window glazing;

providing the geometry of the window glazing to a window glazing composition; and

solidifying the sol-gel composition.

10. The method of claim 9 , comprising:

providing the geometry of the window glazing to a window glazing composition; and

comprising heating and calcinating a window glazing composition.

11. A transparent window glazing comprising:

a transparent glazing body comprising:

a substantially flat base surface;

one or more light absorbing surfaces opposite of the base surface and having a relative angle with the base surface of about 90 degrees; and

one or more light transmitting surfaces opposite of the base surface and alternating with the one or more light absorbing surfaces so that each light transmitting surface is located adjacent to one or more light absorbing surfaces and so that each light absorbing surface and light transmitting surface pair forms a ridge protruding from the base surface, wherein each light absorbing surface is a top surface of each ridge; and

a substantially non-reflective light absorbing coating covering each of the one or more light absorbing surfaces so as to form an outermost surface on each of the one or more light absorbing surfaces, the light absorbing coating being substantially non-reflective that reflects less than 10% of sunlight,

wherein the one or more light absorbing surfaces and one or more light transmitting surfaces are configured to have a minimum light transmission when located on a vertical window facing between east to south to west at noon of summer solstice at a geographical location and directional orientation at or north of the equator or facing between east to north to west at noon of summer solstice at a geographical location and directional orientation at or south of the equator.

12. The window glazing of claim 11 , wherein the glazing is configured to have substantially 100% or maximum light transmission when located on a vertical window facing between east to south to west at noon of winter solstice at a geographical location and directional orientation at or north of the equator or facing between east to north to west at noon of winter solstice at a geographical location and directional orientation at or south of the equator.

13. The window glazing of claim 12 , wherein the light transmission is calculated by Equation 1 and Equation 2:

T=T 0 −a/b tan Θ φ   Equation 1

Θ 100 =tan −1 (tan Θ/sin φ)  Equation 2

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π,

wherein between the Vernal Equinox and the Autumnal Equinox: 2π>φ>π, if φ is within this range, T is 0.

14. The window glazing of claim 12 , wherein the light transmission is calculated by Equation 1, and Equation 3:

T=T 0 −a/b tan Θ φ   Equation 1

Θ φ =tan −1 (tan Θ/sin(φ+ω))  Equation 3

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

ω is an angle between due east and the base surface;

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π,

wherein if 2π>φ+ω>π, then T is zero (0).

15. The window glazing of claim 14 , wherein if the base surface faces due east, then ω=π/ 2 and Equation 4 is used in place of Equation 3

Θ φ =tan −1 (tan Θ/sin(φ+π/2))  Equation 4.

16. The window glazing of claim 12 , wherein the light transmission is calculated by Equation 1, and Equation 5:

T=T 0 −a/b tan Θ φ   Equation 1

Θ φ =tan −1 (tan Θ/sin(φ+3π/2))  Equation 5

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

ω is 3π/2;

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π,

wherein if 2π>φ+ω>π, then T is zero (0).

17. The window glazing of claim 12 , wherein the light transmission is calculated by Equation 1, and Equation 7:

T=T 0 −a/b tan Θ T   Equation 1

Θ φ =tan −1 (tan(Θ−δ)/sin(φ+ω))  Equation 7

wherein,

T is transmittance;

T 0 is strength of sunlight on Vernal Equinox and Autumnal Equinox;

Θ is an angle between sunlight and ground;

φ is an angle between directly east and sunlight, and if sunlight is directly east φ is zero (0);

ω is an angle between due east and the base surface;

δ is an angle between the base surface and vertical;

a is height of the light absorbing surface relative to the base surface;

b is the length of the base under a light absorbing surface and light transmitting surface pair; and

0≦Θ≦π/4 and 0≦φ≦2π.

18. A window comprising:

a window; and

the transparent window glazing of claim 11 attached to the window.