 |
|
Bi-directional Reflectance Distribution Function (BRDF) and the
Temperature
Directional Brightness Distribution (TDD) |
|
The reflectance of most surfaces shows anisotropic behavior,
which means the reflectance varies with solar and viewing
positions. This effect is shown in the figure below and
is mathematically described by the bi-directional reflectance
distribution function (BRDF). For a scene with given properties
it characterizes, how the reflectance observed varies
with the angles of observation and illumination:

L is the radiance reflected into view direction defined
by the zenith angle and
azimuth angle ,
E is the irradiance from the sun direction and the
wavelength of radiation. The dimension of the BRDF is
given in sr-1. Commonly used is the bi-directional reflectance
factor ,
which has no dimension.
In order to measure the BDRF, the Flying Laptop will take
images of a specified target under different viewing angles
in the target-pointing mode. The extension of the observed
area should be noticeable larger than twice the maximum
pixel size at the maximum viewing zenith angle. In addition
the target is assumed to be homogeneous, hence large forests
or desert areas are of interest for this kind of measurement.
Soil and vegetation normally show different reflectance
characteristics. Generally, natural surfaces are rough.
Soil consists of grains which are separated by pores containing
water and gas. The reflectance properties of soils are
attributed by the coherent scattering of the particles,
by the incoherent radiative transfer propagation between
the different particles and by the shadow hiding. The
latter generates mainly the sharp peak in the bi-directional
reflectance at zero phase angle, called hot spot or opposition
effect. Vegetation exhibits anisotropic reflectance caused
mainly by the very complex volumetric scattering within
the leaves canopy and also shadow casting. For vegetated
surfaces the composition of shadowed and illuminated components
depends highly on the canopy architecture, which is affected
by the type of plant species, the growing stage, and the
health conditions.

Bi-directional reflectance effect of grass (source:
University
of Zurich).
The necessity of an angular correction
of satellite data and the normalization to standard viewing
and illumination conditions was the driving force of the
experimental and theoretical investigation of the BRDF.
The BRDF correction allows to compare different images
and to improve the classification accuracy.
Despite the investigation of the BRDF in the multispectral
region, the Flying Laptop will cary out the same
measurement with the thermal infrared camera. Like the
reflectance in the visible spectrum, the thermal radiance
also depends on directional distribution. Mixtures of
foliages and soil are thermally heterogeneous and the
measured angular distribution of the surface brightness
temperature depends on the viewing and the sun position.
Our knowledge about the Temperature Directional Distribution
(TDD), also called Directional Brightness Temperature
(DBT), is still very poor. But this information is essential
both for the data use of wide angle sensors and for a
correct validation and calibration. |

Demonstration of precipitation measurement using Ka & Ku-band |
| We will test a new method for precipitation
measurement using the attenuation of the Ka- and Ku-band.
Experiments have shown that the differential radio signal
attenuation in a horizontal path through rain in thesetwo
different frequency ranges is linearly dependent on the
rain rate. It has been shown that a strong linear relationship
between the rain rate and the differential attenuation
of the Ku- and Ka-frequency bands exists. The acquisition
of the data will be performed in the target pointing mode
using a Ka-band and a Ku-band signal. The strength of
the method analyzed in theoretical studies is the independence
from the drop size distribution or other rainfall characteristics.
Today, networks of rain gauges and precipitation radars
are utilized in meteorology for precipitation measurements.
However, our knowledge on precipitation is still inadequate,
especially over sea and in the mountains. Remote sensing
of precipitation is widely used to obtain increased spatial
and temporal accuracy.
|

Atmospheric attenuation in the Ka-band frequency range |
| The Ka-band antenna with its large bandwidth
will be used for detection of atmospheric attenuation within
this frequency range, because thorough data of the band
gaps in continental Europe for the upcoming use of the Ka-band
in the communication sector is still unsatisfying.
In addition we will test to retrieve the total content of
a few atmospheric trace gases which exhibit absorption lines
in the Ka-band.
|
Multispectral earth observation |
| The two on-board cameras will record
sequences of multi-spectral Earth images. As radar transmitter,
the Ka-band antenna with its high power signal will be used,
but the reflected signal is captured with the help of measurement
towers on the ground and not at the satellite. These measurements
offer the capability to address local scientific questions.
Because the geometric resolution of the Flying Laptops camera
systems is comparable to the resolution of the ETM+ of Landsat,
thus similar applications are thinkable, for example the
continuing of time series measurements. |
Near Earth Objects (NEOs) |
| While flying through the earth shadow
the Flying Laptop is able to detect NEOs using
the Star Camera Unit and its payload cameras.
The satellite is designed with a focus on a very high level
of in-flight reconfiguration capability. The core science
mission objective is a suite of earth observation instruments
all requiring very high maneuverability and pointing accuracy,
which in turn necessitates a high performing and agile attitude
control system. In support of this system, and to provide
high accuracy attitude information under all mission phases
which include fast re-pointing maneuvers, a micro Advanced
Stellar Compass (µASC) is included in the design as
star tracker. The µASC is equipped with two optical
heads, Camera Head Units (CHU), that are oriented in a way
that simultaneous blinding or occultation by the Earth and
Sun is avoided.
The µASC is capable of delivering accurate attitude
information at spacecraft angular rates up to 30 deg/sec
in the chosen configuration, wherefore rapid re-pointing
to any object is achievable. Since the main mission is only
using the dayside part of the orbit, the night side part
is available for other science tasks.
One of them is to use an intrinsic feature of the µASC
to detect and track Near Earth Asteroids (NEA). Since the
µASC detects and identifies all stars in the field
of view of its CHUs, any other luminous object, not being
a star is automatically identified. This feature can be
used to detect and track any luminous object brighter than
a user-defined threshold as long as the object is brighter
than mv 11.
Using the Flying Laptop’s very high capability
for fast reconfigurations, the spacecraft can switch between
a dayside earth observation program and a nightside NEA
search. In this context, it is important to note, that the
native orbit of the Flying Laptop will be able
to observe for NEAs as close as 30 deg from the Sun, by,
using the Earth itself as a huge shadow.

Simulated field of view of the star tracker camera heads
|
|
|