Nilpotence and mathematical induction enable systematic design of photonic systems with exceptional points of orders 3, 6, 7, and 14, showing enhanced directional and emission responses.
Miyake,Linear Algebra: From the beginnings to the Jordan normal forms(Springer Singapore, 2022)
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Higher-order exceptional points unveiled by nilpotence and mathematical induction
Nilpotence and mathematical induction enable systematic design of photonic systems with exceptional points of orders 3, 6, 7, and 14, showing enhanced directional and emission responses.