solving complex equation in matlab

2013 10 5
2 个回答
更新时间：2013 10 5
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I was just wondering how to solve an equation in attachment for 'n' which involves real and imaginary part.
Thanks

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回答（2 个）

Roger Stafford
Roger Stafford 2013-10-5

1 个投票

n = 1/k0/d*atan2(sqrt(1-X^2),X)
and
n = 1/k0/d*atan2(-sqrt(1-X^2),X)
All other solutions differ from these by integral multiples of 2*pi/k0/d.
Walter Roberson
Walter Roberson 2013-10-5

0 个投票

Use a small bit of algebra. Take the ln of both sides and rearrange terms.
n = -i * ln(X +/- i*sqrt(1-X^2)) / (K0 * d)

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Brad
Brad
2013-10-5

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Roger Stafford
Roger Stafford
2013-10-5

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