Understanding Photonic Crystals: TE and TM Modes in Dielectric Structures

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This document explores the behavior of electromagnetic fields in photonic crystal structures, focusing on TE (Transverse Electric) and TM (Transverse Magnetic) modes. It highlights the role of dielectric columns and veins in air, and discusses the impact of various dielectric bands. Theoretical frameworks are backed by comprehensive data and feature size requirements essential for manufacturing. The concepts are derived from "Photonic Crystals" by J.D. Joannopoulos et al., offering a foundational approach for researchers and engineers interested in photonic applications.

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May 18, 2026

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Understanding Photonic Crystals: TE and TM Modes in Dielectric Structures

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e=12, r=0.2a Red = TE (E-field parallel to plane of periodicity) Blue = TM (E-field perpendicular to plane of periodicity) r=0.3a http://ab-initio.mit.edu/photons/tutorial/photonic-intro.pdf
Dielectric columns in air Dielectric veins in air TM D-field TE H-field Dielectric band Air band Dielectric band Air band negative positive negative positive FROM: Photonic Crystals by J.D. Joannopoulos, R.D. Meade, J.N. Winn (Princeton Univ. Press: NJ, 1995)
Assumes e=11.4
0.45 0.46 0.14 Requires feature size of ~ 54 nm Requires feature size of ~ 420 nm

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