Lect18ReflTrans - CUGEM Information Session October 8th,...

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1 CUGEM Information Session -Multidisciplinary student project team in emerging field of synthetic biology -Compete in iGEM, an international synthetic biology competition with teams from 150 top institutes around the world <www.igem.org> -Projects in biofuel, nanotechnology, biosensors, drug delivery, and gene therapy. October 8 th , 4:30PM Malott 253 1 Swartz and Rana 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 18: - Recruiting ECE, ME, MSE, Bio, BEE, BME, Chem, Majors and more, no prerequisites! - Learn how to do research while working in a fun interdisciplinary environment! Come to the info session to learn more! http://www.rso.cornell.edu/gem/ Cornel University Genetic Engineering Machines Questions? xzx2@cornel .edu ECE 3030 Electromagnetic Fields and Waves Fall 2009 Lecture 18 2009/10/7 Normal Incidence of Waves at Interfaces Reflection and Transmission Application of E field and H field Boundary Condidtions 2 Swartz and Rana 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 18: Instructor: Dr. Wesley E. Swartz Application of E-field and H-field Boundary Condidtions Standing Waves z =0 z z k k i ˆ = E i H i z k k i ˆ = E r H r z k k t ˆ = E t H t o i μ ε o t Waves at Interfaces Consider a plane wave given by: incident upon an interface between medium “ i ” and medium “ t () z k j i i e E x r E = ˆ z k k i ˆ = E i H i o i o t x 4 Swartz and Rana 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 18: z =0 z When the incident wave strikes the interface, it generates a transmitted wave and a reflected wave. We need to find the amplitudes of these reflected and transmitted waves. Waves at Interfaces – E-Fields Incident transmitted and reflected waves z =0 z z k k i ˆ = E i H i z k k i ˆ = E r H r z k k t ˆ = E t H t o i o t x 5 Swartz and Rana 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 18: Incident, transmitted, and reflected waves For z < 0, the total E-field is: For z > 0, the total E-field is: In the above equations, E r and E t are the unknowns that we need to find in terms of the incident field amplitude E i . z k j r z k j i z i i e E x e E x r E + < + = ˆ ˆ 0 i o i k ω = z k j t z t e E x r E > = ˆ 0 t o t k = ? ? Waves at Interfaces – Boundary Conditions Starting with the three waves z =0 z z k k i ˆ = E i H i z k k i ˆ = E r H r z k k t ˆ = E t H t o i o t x 6 Swartz and Rana 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 18: Starting with the three waves: For z < 0: For z > 0: Use boundary condition: At z = 0 the E-field parallel to the interface must be continuous.
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This note was uploaded on 11/26/2009 for the course ECE 3030 at Cornell University (Engineering School).

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Lect18ReflTrans - CUGEM Information Session October 8th,...

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