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Domgymnasium Lehrer

Fig. 78 and Fig. 79 are generated by the Reflection and Refraction app that you can adjust conductivity of each medium, and obtain corresponding transmission angle, power reflection and transmission coefficients as a function of incident angle. Below link will direct you to the app:

where \(n_{12}\) is the relative index of refraction. If \(\epsilon_2 > \epsilon_1\) then \(n_{12} > 1\). Under this situation, for any angle of incidence \(\theta_i\) there is a real angle of transimission \(\theta_t\). On the other hand, if \(\epsilon_2 < \epsilon_1\) then \(\theta_t\) is real only when \(n_{12} \text{sin} \theta_t \leq 1\). Total reflection occurs when \(n_{12}\text{sin} \theta_t > 1\), and indicates that the wave cannot pass through and is entirely reflected. For the reflection from a conductive surface, a total reflection occurs when \(\sigma_1 > \sigma_2\). Fig. 78 illustrate this.

If \((\theta_t + \theta_i) \rightarrow \pi/2\), then \(\text{tan}(\theta_t + \theta_i) \rightarrow \infty\), and \(r_{TM} \rightarrow 0\). The reflected and refracted waves are normal to one another, and

ÖDG Lehrer

The angle that this equation satisfies is known as the Brewster angle. The reflection from a conductive surface, there will be a minimum in \(R_{TM}\), analogous to the Brewster angle, for some particular angle of incidence. No such minimul occurs in \(R_{TE}\). Fig. 79 illustrate this.

Domgymnasium Magdeburg direktor

Award Abstract # 0939645 OEDG Planning Grant: Expanding Geoscience Diversity: Alternative Field Environments for Non-Traditional Students

ABSTRACT This OEDG planning project is exploring new strategies for engaging persons with physical limitations in geologic field work through surrogate, immersive, virtual representations, with the goal of bringing more diverse students into the geosciences. During the initial phase, a partnership between the Ohio Supercomputer Center (OSC) and the Advanced Computing Center for Arts andDesign (ACCAD), at Ohio State University (OSU), will design, develop, and present geoscience content material for a pilot workhop focused on cave geology, while investigating the efficacy, perception and transfer for students with limited content knowledge as a result of their lack of direct access to the field environment. The project brings together researchers in the fields of information technologies, Earth science, education, art and design, and disabilities research. Mobility-impaired undergraduate and graduate students are engaged as active participants during development of the educational resources, to ensure their utility with this audience. Additional partners in the project include Ohio's STEM Ability Alliance (OSAA), the Offices of Disability Services at OSU, Wright State University (WSU), Mammoth Caves National Park, the National Cave and Karst Research Institute, and the National Multiple Sclerosis Society.

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Ökumenisches Domgymnasium

Moodle ödg

Fig. 78 Tranmission angle \(\theta_t\) as a function of the incident angle \(\theta_i\) when \(\sigma_1\) = 1 S/m and \(\sigma_2\) = 0.1 S/m. Magnetic permeability and dielectric permittivitivy assumed to be those of free-space (\(\epsilon = \epsilon_0\) and \(\mu = \mu_0\))

For a perfect dielectric, the conductivity is zero and the permeability is that of free space that is, \(\mu_1=\mu_2=\mu_0\). In this case, Snell’s law reduces to:

From derived reflection coefficients for TE mode in Fresnel Equations, the reflection coefficient for perfect dielectric can be written as

Fig. 79 The power reflection coefficient \(R_{TE}\) and \(R_{TM}\) versus angle of incidence for plane wave at air-earth interface. The conductivity and dielectric permitivity of earth are taken to be 0.01 S/m, and \(\epsilon = \epsilon_0\), respectively. The frequency is 6 x 10 5 Hz.

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