diff --git a/Key MRI Concepts.html b/Key MRI Concepts.html index 0849527..5f0ba93 100644 --- a/Key MRI Concepts.html +++ b/Key MRI Concepts.html @@ -562,20 +562,31 @@

RF Pulses

  • pulse profile - approximately proportional to the Fourier Transform of the pulse shape

    • -

  • flip angle -$\(\theta = \gamma \int_0^{T_{rf}} b_1(\tau) d\tau \)$

    • -

  • Time-bandwidth product - constant for a given pulse shape -$\( TBW = T_{rf} \cdot BW_{rf} \)$

    • -

  • SAR -$\( SAR \propto \int_0^{T_{rf}} |b_1(\tau)|^2 d\tau \)$

    • +

  • flip angle

    • +
    +\[\theta = \gamma \int_0^{T_{rf}} b_1(\tau) d\tau \]
    + +
    +\[ TBW = T_{rf} \cdot BW_{rf} \]
    + +
    +\[ SAR \propto \int_0^{T_{rf}} |b_1(\tau)|^2 d\tau \]

    Slice Selection

    +
    +\[ \Delta z = \frac{BW_{rf}}{\bar{\gamma} G_{Z,SS}} \]
    + +
    +\[ f_{off} = \bar{\gamma} G_{Z,SS} \ z_{off} \]

    Spatial Encoding#

    diff --git a/_sources/Key MRI Concepts.md b/_sources/Key MRI Concepts.md index 4fcf976..3129085 100644 --- a/_sources/Key MRI Concepts.md +++ b/_sources/Key MRI Concepts.md @@ -109,16 +109,24 @@ Contrast Agents Pulse Characteristics * pulse profile - approximately proportional to the Fourier Transform of the pulse shape * flip angle + $$\theta = \gamma \int_0^{T_{rf}} b_1(\tau) d\tau $$ + * Time-bandwidth product - constant for a given pulse shape + $$ TBW = T_{rf} \cdot BW_{rf} $$ + * SAR + $$ SAR \propto \int_0^{T_{rf}} |b_1(\tau)|^2 d\tau $$ Slice Selection * Slice thickness + $$ \Delta z = \frac{BW_{rf}}{\bar{\gamma} G_{Z,SS}} $$ + * Slice shifting + $$ f_{off} = \bar{\gamma} G_{Z,SS} \ z_{off} $$ ## Spatial Encoding