Reflection

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Diffuse light arrives from the sky in a "direct" manner, while on the surface, it is reflected as long as it is not absorbed by the surface. Therefore, it is necessary to specify the percentage that corresponds to the sky and treat it as a surface with an albedo equal to one. Then, surfaces such as the ocean (albedo 0.05), vegetation (albedo 0.2), and bare land (albedo 0.3) are considered. It's important to consider what the surface conditions will be once the house is inhabited and not reflect the situation during construction.

>Model

ID:(90, 0)



The albedo

Equation

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The diffuse light that reaches the window comes partly from the sky and partly from the surrounding surfaces. In the case of light coming from the surfaces, the amount will depend on how much is absorbed by those surfaces. The amount of light that is ultimately reflected can be estimated using the albedo of the surfaces. Since there are different types of surfaces, the albedo $a_i$ is calculated as a weighted average based on the fraction of the visual field $\Delta\Omega_i$ occupied by each type of surface $i". This can be expressed as:

$ \bar{a} = \displaystyle\frac{\displaystyle\sum_i a_i \Delta\Omega_i }{\displaystyle\sum_i \Delta\Omega_i }$

ID:(579, 0)



The intensity of diffuse light

Equation

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The diffuse light that enters through the window can be calculated using the intensity of solar radiation incident on Earth, denoted as $I_s$, the fraction that reaches the Earth's surface as a function of cloud cover, represented by $\gamma_v$, and the fraction that is scattered and refracted, denoted as $k_d$. It is important to consider that the fraction of light that reaches the window depends on the average albedo of the surfaces visible through the window:

$ \bar{a} = \displaystyle\frac{\displaystyle\sum_i a_i \Delta\Omega_i }{\displaystyle\sum_i \Delta\Omega_i }$



This relationship can be expressed using the equation:

$ I_d = \bar{a} k_d \gamma_v I_s $

ID:(580, 0)



View 0 degrees

Definition

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The windows of zero angle



provide a view like:



This corresponds to approximately:

Section Range from Zenith Albedo
Sky $0-90°$ 1.00
Ocean $90-100°$ 0.05
Land (vegetation) $100-180°$ 0.20

Therefore, in the 0-degree view, the average albedo is approximately 0.59.

ID:(581, 0)



View 60 degrees

Definition

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The windows at the sixty-degree angle ($60°$)



offer a perspective like:



This corresponds approximately to:

Section Range from Zenith Albedo
Sky $0-80°$ 1.00
Forested Hills $80-90°$ 0.12
Terrain (vegetation) $90-180°$ 0.20

Therefore, in the 60-degree view, the average albedo is approximately 0.55.

ID:(582, 0)



View 300 degrees

Definition

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The windows at the three hundred-degree angle ($300°$)



offer a perspective that resembles:



This corresponds approximately to:

Section Range from Zenith Albedo
Sky $0-90°$ 1.00
Ocean $90-110°$ 0.05
Land (vegetation) $110-180°$ 0.20

Therefore, in the 300-degree view, the average albedo is approximately 0.58.

ID:(583, 0)



View 120 degrees

Definition

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The windows at the sixty-degree angle ($120°$)



offer a perspective like:



This corresponds approximately to:

Section Zenith Range Albedo
Sky $0-60°$ 1.00
Terrain (vegetation) $60-120°$ 0.20
Terrain (ground) $120-180°$ 0.25

Therefore, in the 120-degree view, the average albedo is approximately 0.48.

ID:(584, 0)



View 180 degrees

Definition

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Die Fenster im Winkel von hundertachtzig Grad ($180°$)



bieten eine Perspektive, die ähnlich ist wie:



This corresponds approximately to:

Section Zenith Range Albedo
Sky $0-60°$ 1.00
Terrain (vegetation) $60-90°$ 0.20
Terrain (ground) $90-180°$ 0.30

Therefore, in the 180-degree view, the average albedo is approximately 0.51.

ID:(585, 0)



View 240 degrees

Definition

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The windows at the two hundred forty-degree angle ($240°$)



offer a perspective that resembles:



This corresponds approximately to:

Section Zenith Range Albedo
Sky $0-60°$ 1.00
Terrain (vegetation) $60-90°$ 0.20
Terrain (ground) $90-180°$ 0.30

Therefore, in the 240-degree view, the average albedo is approximately 0.51.

ID:(586, 0)



Summary of albedos per view

Definition

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The albedos according to the view are summarized as follows:

Direction Albedo
$0°$ $0.59$
$60°$ $0.55$
$120°$ $0.48$
$180°$ $0.51$
$240°$ $0.51$
$300°$ $0.58$

ID:(587, 0)