Tools

Beam Waist Calculator

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This tool is a high-precision simulator designed for laser engineers and optical researchers to model Gaussian beam focusing through a thin lens. It significantly evolves the traditional “static calculator” into a dynamic, visual design environment.

Technical Summary: Advanced Beam Waist & Spot Size Calculator

This is a professional summary of the Beam Waist & Spot Size Calculator you developed, highlighting its technical superiority and functional advantages over industry standards.

1. Physical Validation & Accuracy

The calculator adheres to standard Gaussian wave optics. For a benchmark setup (Nd:YAG 1064 nm, $D=5$ mm, $f=100$ mm, $M^2=1$):

  • Focus Spot Size ($2w_0$): $27.1 \ \mu\text{m}$ (Calculated via $\frac{4 \cdot M^2 \cdot \lambda \cdot f}{\pi \cdot D}$).

  • Rayleigh Range ($z_R$): $0.542 \text{ mm}$ (Defines the distance where the beam cross-section doubles).

  • Depth of Field (DOF): $1.08 \text{ mm}$ ($2 \cdot z_R$).

  • Convergence: $NA = 0.025$ with a half-divergence angle of $25 \text{ mrad}$.

2. Competitive Advantages (The “Allwill” Upgrade)

Compared to legacy tools (like the original Gentec version), this calculator offers a “Dimensional Leap” in utility:

  • Comprehensive Multi-Unit Engine: Seamlessly switch between nm/µm/mm for wavelengths and mm/cm/in for focal lengths. This eliminates the #1 cause of manual calculation errors in optics.

  • Expanded Analytical Metrics: While competitors provide 3 basic outputs, this tool provides 8 critical metrics, including $f$-number, Numerical Aperture, and instantaneous diameter $D(z)$ at any axial position.

  • Real-time SVG Visualization: Features a dynamic “Hyperbolic Envelope” graphic that illustrates the collimated input, lens convergence, and the $z_R$ focal zone.

  • Interactive $z$-Axis Slider: Allows users to simulate “defocusing” effects in real-time. The slider automatically scales to $\pm 2 \cdot z_R$, providing an intuitive look at how the beam expands away from the waist.

  • Intelligent Presets: Includes 8 pre-configured laser profiles (from UV 355 nm to CO₂ 10.6 µm), allowing for instant setup of common industrial and scientific scenarios.

3. Built-in Physical Guardrails

The tool includes “Smart Warnings” to ensure experimental validity:

  • Spherical Aberration Alerts: Triggered when $NA > 0.25$, notifying users that the thin-lens paraxial approximation may no longer be accurate.

  • Geometric Logic Checks: Prevents non-physical inputs (e.g., when the calculated spot is larger than the input beam or when lens diameter exceeds focal geometry).

Target Applications

  • Laser Material Processing: Determining kerf width and focus tolerance for cutting/welding.

  • Optical Fiber Coupling: Calculating the mode-matching requirements for high-efficiency injection.

  • Microscopy & Imaging: Estimating diffraction-limited resolution and axial focal depth.

Verdict: This is a top-tier engineering asset that bridges the gap between theoretical physics and practical laser system integration.

What is the Beam Waist & Spot Size Calculator in practical terms?

The Beam Waist & Spot Size Calculator is an interactive Gaussian focusing simulator that predicts focused spot size, Rayleigh range, depth of field and numerical aperture from real lens and beam parameters. Practically, it replaces static tables and manual equations with a live, visual tool that shows how a beam tightens, focuses and diverges through a thin lens.

In everyday use, you enter the laser wavelength, input beam diameter at the lens, focal length and beam quality factor M2. The tool then solves for the diffraction-limited waist radius, corresponding spot diameter at focus and the distances over which the beam remains “tight” enough for your application. This is essential when sizing kerf widths, planning focus tolerance and matching beams to optical fibers or tissue targets.

ALLWILL’s Beam Waist & Spot Size Calculator elevates this concept beyond conventional calculators by adding dynamic visualization, multi-unit flexibility and advanced physical guardrails. It is built for engineers and optical specialists who need confidence that their focused spot estimates are both physically accurate and presented in a format that supports fast iteration and cross-team communication.

How does the calculator model Gaussian focusing physics?

The calculator models Gaussian focusing physics using standard wave optics and thin-lens approximations. For a collimated input beam of diameter D, wavelength λ, focal length f and beam quality M2, it computes the focused spot diameter as

2w0=4⋅M2⋅λ⋅fπ⋅D,

which for a 1064 nm Nd:YAG beam with D=5 mm, f=100 mm and M2=1 yields a spot of roughly 27.1 μm.

From this waist, the Rayleigh range is determined via

zR=π⋅w02M2⋅λ,

defining the distance along the propagation axis where the beam cross-section grows by a factor of 2. The depth of field for many practical purposes is taken as DOF=2zR, framing the region around focus where the beam remains tightly confined.

Also check:  Gaussian Beam Parameters Calculator

The calculator also derives numerical aperture and convergence angles, showing, for example, that this benchmark setup has an NA around 0.025 and a half-angle near 25 mrad. By embedding all of these equations, the ALLWILL tool offers a self-consistent, physically validated picture of Gaussian focusing suitable for professional engineering work.

Why does multi-unit handling matter for precision beam design?

Multi-unit handling matters because real-world laser projects span metric scales from nanometers to centimeters and often mix data from different documentation systems. The calculator’s comprehensive unit engine lets users freely switch between nm, µm and mm for wavelength and mm, cm or inches for focal length and distances without manual conversions.

Unit mismatches are a leading cause of design and calculation errors in optics, especially when teams copy data between spreadsheets, manuals and simulation tools. A focus calculation off by a factor of 10 or 1,000 due to unit confusion can ruin an experiment or send a device into production with misaligned optics or unsafe fluence at the target.

By managing units internally and presenting outputs in the most readable form for each scale, the ALLWILL calculator keeps concentration on design decisions rather than arithmetic. This is especially valuable in B2B medical aesthetics, where engineers, technicians and clinicians may collaborate across continents and documentation standards but still need one source of truth for beam geometry.

What analytical metrics does this calculator provide beyond basic spot size?

Beyond basic spot size, the calculator provides a rich set of analytical metrics: beam waist radius, Rayleigh range, depth of field, numerical aperture, f-number, convergence half-angle and beam diameter D(z) at arbitrary axial positions. These metrics give a multidimensional view of focusing performance, not just a single diameter at one plane.

The f-number f/# connects lens focal length and effective input diameter to classic imaging concepts, helping teams relate laser optics to camera and microscopy systems. Numerical aperture captures focusing strength in a way that ties directly into resolution, fiber coupling limits and diffraction-limited performance.

The ability to compute instantaneous diameter D(z) along the axis lets users model defocus tolerance and process windows. For example, they can see how quickly the beam grows when moving a handpiece a fraction of a millimeter off nominal focus, which is crucial for both industrial processing and maintaining consistent fluence on skin or tissue surfaces in medical applications.

Key outputs and their design relevance

Metric Symbol Design relevance
Focused spot diameter 2w0 Defines smallest achievable feature size or lesion footprint
Rayleigh range zR Sets the axial zone of “tight” focus around the waist
Depth of field DOF=2zR Indicates focus tolerance for alignment and handpiece positioning
Numerical aperture NA Links focusing strength to resolution and fiber coupling limits
Beam diameter vs. z D(z) Shows how quickly the beam expands away from focus

How does real-time visualization and the z-slider improve design decisions?

Real-time visualization and the z-slider improve design decisions by turning abstract numbers into a live, intuitive beam envelope. The dynamic SVG graphic plots the collimated input, convergence through the thin lens and the hyperbolic waist region around focus, clearly highlighting the Rayleigh zone and how the beam broadens before and after the waist.

The interactive z-axis slider allows users to “move” along the beam and immediately see how spot size changes as they simulate defocus or shifts in working distance. The slider automatically scales to ±2zR, centering attention on the most relevant axial range where focus quality matters most for cutting, welding, ablation or high-precision treatments.

For ALLWILL users, this visual and interactive environment serves as a virtual optical bench. Engineers, technicians and clinicians can stand around a screen, adjust parameters and jointly explore how design choices affect real-world process tolerances, handpiece ergonomics and patient positioning requirements—without physically rebuilding setups for every iteration.

Which guardrails and warnings keep results physically meaningful?

Guardrails and warnings keep results physically meaningful by automatically flagging parameter ranges where the underlying approximations or input assumptions break down. When the numerical aperture exceeds roughly 0.25, the calculator issues spherical aberration alerts, reminding users that the thin-lens paraxial model may no longer be accurate.

Also check:  Pulsed Laser Calculator

Geometric logic checks prevent non-physical input combinations, such as configurations where the calculated focused spot is inexplicably larger than the input beam diameter in ways that violate Gaussian focusing behavior, or where the lens diameter is inconsistent with the chosen beam and focal length. These checks stop users from trusting results that stem from typos or unrealistic assumptions.

In ALLWILL’s broader quality framework, these smart warnings support device validation, refurbishment and R&D activities. They give engineers and technicians early feedback when a design idea is pushing past simple approximations into regimes where more advanced modeling, aberration analysis or empirical testing is required.

How can this calculator support laser material processing and micromachining?

This calculator supports laser material processing and micromachining by providing precise estimates of focused spot size, depth of field and convergence angles, which directly determine kerf width, edge quality and process stability. By understanding the size and shape of the focal volume, engineers can size features appropriately and align process speed with energy densities.

For cutting and drilling, the focused spot defines minimum hole diameter and cut line thickness. Rayleigh range indicates the thickness of material that can be processed with a single focal setting before quality degrades, while DOF reveals how tolerant the process is to surface variations or fixture inaccuracies.

In micromachining and surface texturing, tight control over spot size and DOF allows designers to tune feature scales, pitch and overlap for desired roughness, wettability or optical effects. The ALLWILL Beam Waist & Spot Size Calculator gives these users a fast way to iterate through focal lengths, input beam diameters and M2 values to reach an optimal balance between precision, throughput and system complexity.

Can the tool improve optical fiber coupling and beam delivery design?

The tool can improve optical fiber coupling and beam delivery design by quantifying how a lens focuses a beam relative to fiber core size and numerical aperture. By calculating focused spot size and NA at the focus, it helps engineers ensure the beam is small enough and within the fiber’s acceptance cone for efficient coupling.

When combined with ALLWILL’s Fiber Numerical Aperture (NA) Calculator, users can perform end-to-end mode-matching analysis. They can check whether the chosen lens and distance create a waist that aligns with the fiber’s core diameter and NA, minimizing reflection and insertion loss while avoiding damage at the input facet.

In medical aesthetics and surgical applications, this is particularly important for handpieces and probes that rely on fiber delivery. The Beam Waist & Spot Size Calculator ensures that beam geometry at the fiber interface is well understood and that transitions between free-space and fiber-guided sections preserve the desired power density and beam quality up to the treatment site.

Why is this calculator valuable for microscopy, imaging and resolution planning?

This calculator is valuable for microscopy, imaging and resolution planning because focused spot size and numerical aperture are central to diffraction-limited resolution and axial focal depth. By modeling Gaussian focusing through a thin lens, it provides realistic estimates of lateral resolution and axial DOF for laser-scanning and point-illuminated systems.

A smaller beam waist corresponds to higher lateral resolution, but also to a shorter Rayleigh range and narrower depth of field. This trade-off is crucial in confocal microscopy, multiphoton imaging and laser-assisted imaging-guided treatments, where engineers must balance resolution against field uniformity and tolerance to focus drift or tissue motion.

With ALLWILL’s calculator, imaging system designers and clinical R&D teams can quickly explore how changing wavelength, lens NA or beam diameter affects resolvable feature sizes and focus robustness. This supports informed decisions about objective selection, relay optics and working distances in systems that may blend imaging and treatment in the same optical path.

Who benefits most from ALLWILL’s Beam Waist & Spot Size Calculator?

Laser optical engineers, biomedical device designers, process engineers, fiber coupling specialists and advanced clinicians all benefit from this calculator. It offers a shared, quantitative basis for conversations about focus quality, spot size, depth of field and tolerance, which are otherwise easy to misunderstand across disciplines.

Device manufacturers use it to design optical trains and focus assemblies that meet tight specifications on spot size and working distance. Service and refurbishment teams leverage it to verify that reconstructed systems are delivering beams consistent with original designs after component replacement or upgrades.

Also check:  Beam Divergence & Diameter Calculator

Clinical and applications experts in ALLWILL’s network rely on the tool when evaluating new platforms, comparing vendor claims and designing treatment protocols. By grounding expectations in Gaussian focusing physics, they can better predict how a device will perform in real-world setups, from dermatology and aesthetic resurfacing to minimally invasive procedures that demand precise focal control.

ALLWILL Expert Views

At ALLWILL, we see advanced beam waist and spot size modeling as the foundation of reliable energy delivery. When engineers and clinicians share the same, physically accurate picture of focus geometry, they align more quickly on lens choices, working distances and safety margins—and that alignment translates directly into consistent outcomes and scalable, high-performance systems.

Are there limitations or best practices when using Gaussian focus models?

There are limitations and best practices when using Gaussian focus models. The thin-lens, paraxial assumption works well for modest NAs and well-corrected optics, but becomes less accurate at high NA, in strongly aberrated systems or when the beam significantly under-fills or over-fills the lens aperture.

Best practice is to treat the calculator’s results as first-order design guidance and to validate critical configurations through more advanced simulation or empirical measurement, especially when NA is high, beam quality is degraded or application risk is significant. Attention to M2, lens quality and mounting tolerances remains essential.

ALLWILL’s built-in warnings and guardrails help users recognize when they are pushing models to their limits. For high-NA, ultra-precision or safety-critical applications, teams should use the calculator as a starting point, then refine designs with wavefront analysis, tolerance stacks and experimental beam profiling to ensure final performance matches expectations.

Conclusion: How can teams turn advanced beam waist calculations into better outcomes?

Teams can turn advanced beam waist calculations into better outcomes by embedding tools like ALLWILL’s Beam Waist & Spot Size Calculator into every phase of optical system development and lifecycle management. From concept and lens selection to fiber coupling, process tuning and clinical protocol design, they should consistently translate design intent into quantitative, physically valid beam geometry.

In B2B medical aesthetics and related industries, this approach reduces rework, improves cross-brand comparability and makes it easier to scale successful optical architectures across product lines and markets. When spot size, Rayleigh range and numerical aperture are not just abstract terms but shared, visualized parameters, organizations can make faster, more confident decisions that benefit both technical performance and patient outcomes.

FAQs

What inputs does the Beam Waist & Spot Size Calculator require?
The calculator typically requires laser wavelength, input beam diameter at the lens, lens focal length and beam quality factor M2. From these values, it computes focused spot size, Rayleigh range, depth of field, numerical aperture, convergence angles and beam diameter as a function of distance from the lens.

How accurate is the calculator for real optical systems?
The calculator is highly accurate for systems that meet Gaussian and thin-lens assumptions, including many well-corrected industrial and medical optics. At higher numerical apertures or with significant aberrations, it remains a strong first-order model but should be complemented by more detailed simulations or empirical measurements for final validation.

Can this tool be used for CO₂ and UV lasers as well as NIR?
Yes. The tool supports wavelengths from UV through NIR into mid-IR, including 355 nm, 532 nm, 1064 nm and 10.6 µm CO₂ lasers. ALLWILL’s presets make it easy to load typical configurations for these sources, then fine-tune beam diameter and focal length for specific material processing or clinical scenarios.

How does this calculator relate to ALLWILL’s other optical tools?
This calculator complements ALLWILL’s Gaussian Beam Parameters Calculator, Wavelength to Frequency Converter and Fiber Numerical Aperture Calculator. Together, they offer a complete picture of a laser beam’s spectral properties, free-space propagation, focusing behavior and fiber coupling limits, supporting integrated, physics-based decision-making from source to target.

Who should incorporate this calculator into their workflow?
Optical designers, laser OEMs, process engineers, medical device manufacturers, refurbishment centers and advanced clinics should incorporate this calculator. It improves communication between R&D, service and clinical teams, reduces design errors and supports ALLWILL’s mission to bring transparent, data-driven rigor to B2B medical aesthetics and laser-based technologies.

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(e) Notice and Inspection. The limited warranties contained in this Section 8 are made on condition that immediate written notice of any noncompliance with the Equipment’s and/or the Service’s warranty be given to MRP, and provided that MRP’s inspection reveals that Buyer’s claim is valid under the terms of such warranty.

        9.  DISCLAIMERS; NO OTHER WARRANTY. EXCEPT TO THE EXTENT AS PROVIDED IN SECTION 8(c)(i)(D), BUYER ACKNOWLEDGES THAT MRP IS NOT BOUND BY ANY WARRANTY THAT MAY BE SET FORTH IN A MANUFACTURER’S WRITTEN MATERIALS THAT WOULD HAVE APPLIED HAD BUYER PURCHASED THE EQUIPMENT DIRECTLY FROM THE MANUFACTURER IN ITS UNUSED STATE. BUYER ACKNOWLEDGES THAT BUYER HAS NOT RELIED UPON ANY WARRANTY OTHER THAN AS SET FORTH IN THIS AGREEMENT. IN ADDITION, BUYER ALSO HEREBY ACKNOWLEDGES AND AGREES THAT ANY ORAL OR WRITTEN STATEMENTS CONCERNING USE AND REGULATION OF MEDICAL DEVICES SOLD BY MRP ARE AND SHALL BE CONSTRUED AS FOR INFORMATIONAL PURPOSES ONLY AND WITHOUT WARRANTY OR ASSURANCE BY MRP AS TO THEIR ACCURACY OR VALIDITY. MRP ALSO HEREBY DISCLAIMS ANY AND ALL WARRANTIES REGARDING OTHER MEDICAL CARE OR HELP, INCLUDING THE SELECTION OF AESTHETIC AND MEDICAL PROCEDURES AND PRODUCTS FOR, OR CARE OF, PATIENTS. THE LIMITED WARRANTIES OF THIS AGREEMENT, IF APPLICABLE TO ANY EQUIPMENT OR SERVICE FURNISHED UNDER THIS AGREEMENT, CONSTITUTE THE ONLY WARRANTIES MADE WITH RESPECT TO THE EQUIPMENT AND/OR SERVICE AND ANY DEFECT, DEFICIENCY OR NONCONFORMITY. TO THE EXTENT PERMITTED BY LAW, SUCH WARRANTY IS IN LIEU OF ALL OTHER WARRANTIES, EXPRESS OR IMPLIED BY LAW, COURSE OF DEALING, COURSE OF PERFORMANCE, USAGE OF TRADE OR OTHERWISE, INCLUDING, BUT NOT LIMITED TO, ANY EXPRESS OR IMPLIED WARRANTY OF MERCHANTABILITY, TITLE, NONINFRINGEMENT OR FITNESS FOR A PARTICULAR PURPOSE.

        10.  LIMITATION OF LIABILITY. NOTWITHSTANDING ANYTHING TO THE CONTRARY IN THIS AGREEMENT, UNDER NO CIRCUMSTANCES SHALL MRP BE LIABLE FOR ANY INDIRECT, PUNITIVE, INCIDENTAL, CONSEQUENTIAL, EXEMPLARY OR SPECIAL DAMAGES, ARISING FROM, RELATED TO OR CAUSED, DIRECTLY OR INDIRECTLY, WHETHER FORESEEABLE OR NOT, BY THE EQUIPMENT AND/OR THE SERVICES, THE USE OR INABILITY TO USE THE EQUIPMENT, THE RESULTS GENERATED FROM THE EQUIPMENT AND/OR THE SERVICES, THIS AGREEMENT, ANY OTHER ACT OR OMISSION OF MRP, OR BASED UPON ANY OTHER LEGAL THEORY. IN NO EVENT SHALL MRP BE LIABLE FOR ANY LOSSES OF REVENUE, USE, BUSINESS OPPORTUNITY, PROFIT, SAVINGS OR ANY OTHER DAMAGES DUE TO ANY CAUSE WHATSOEVER, EVEN IF MRP OR ITS AGENTS HAS BEEN ADVISED OF THE POSSIBILITY THEREOF. THE FOREGOING IS A SEPARATE, ESSENTIAL TERM OF THIS AGREEMENT, AND SHALL BE EFFECTIVE UPON THE FAILURE OF ANY REMEDY, EXCLUSIVE OR NOT. IN NO EVENT WILL MRP’S TOTAL LIABILITY UNDER THIS AGREEMENT EXCEED THE PURCHASE PRICE ACTUALLY PAID TO MRP BY BUYER FOR THE EQUIPMENT AND/OR THE SERVICES GIVING RISE TO THE CLAIM FOR WHICH DAMAGES ARE BEING SOUGHT. NO SUIT OR ACTION MAY BE BROUGHT BY BUYER, ITS SHAREHOLDERS, DIRECTORS, MANAGERS, EMPLOYEES OR AGENTS FOR ANY BREACH OF THIS AGREEMENT MORE THAN ONE (1) YEAR AFTER THE ACCRUAL OF SUCH CAUSE OF ACTION. IT IS AGREED THAT MRP’S LIABILITY IS SO LIMITED. WITHOUT LIMITING THE GENERALITY OF THE FOREGOING, BUYER ASSUMES ALL RISK AND LIABILITY FOR THE RESULTS OBTAINED BY THE USE OF ANY EQUIPMENT IN THE PRACTICE OF ANY PROCESS, WHETHER IN TERMS OF OPERATING COSTS, GENERAL EFFECTIVENESS, SUCCESS OR FAILURE, AND REGARDLESS OF ANY ORAL OR WRITTEN STATEMENTS MADE BY MRP, BY WAY OF TECHNICAL ADVICE OR OTHERWISE, RELATED TO THE USE OF THE EQUIPMENT.

        11.  BUYER’S REPRESENTATIONS AND WARRANTIES. Buyer represents and warrants to MRP that: (a) Buyer is duly organized, validly existing, and in good standing in the jurisdiction of Buyer’s formation; (b) Buyer is duly qualified to do business and is in good standing in every jurisdiction in which such qualification is required; (c) Buyer has the full right, power, and authority to enter into this Agreement and to perform Buyer’s obligations under this Agreement; (d) the execution of this Agreement by the person whose signature is set forth at the end hereof has been duly authorized by all necessary corporate action of Buyer; (e) when executed and delivered by each of MRP and Buyer, this Agreement will constitute the legal, valid and binding obligation of Buyer, enforceable against Buyer in accordance with its terms; (f) Buyer is in compliance with all applicable laws relating to this Agreement, the Equipment and the operation of Buyer’s business; (g) Buyer is not insolvent and is paying all of its debts as they become due; and (h) all financial information that Buyer has provided to MRP is true and accurate and fairly represents Buyer’s financial condition.

        12. PROPRIETARY RIGHTS.

(a) Ownership. No sale shall be construed as granting to Buyer any license or other right in, or to, any of MRP’s (i) patents; (ii) trademarks; (iii) internet domain names, whether or not trademarks, registered by any authorized private registrar or governmental authority, web addresses, web pages, websites and URLs; (iv) works of authorship, expressions, designs and design registrations, whether or not copyrightable, including copyrights and copyrightable works, software and firmware, technical data, data files, and databases and other specifications and documentation; (v) trade secrets; (vi) environmental or other testing applicable to the Equipment and/or the Services; and (vii) industrial and other intellectual property rights, and all rights, interests, and protections that are associated with, equivalent or similar to, or required for the exercise of, any of the foregoing, however arising, in each case whether registered or unregistered and including all registrations and applications for, and renewals or extensions of, such rights or forms of protection pursuant to the laws of any jurisdiction throughout in any part of the world (collectively, the “Intellectual Property Rights”).

(b) Prohibited Acts. Buyer shall not (i) take any action that might interfere with any of MRP’s rights in or to Intellectual Property Rights, including MRP’s ownership or exercise thereof; (ii) challenge any right, title, or interest of MRP in or to the Intellectual Property Rights; (iii) make any claim or take any action adverse to MRP’s ownership of the Intellectual Property Rights; (iv) register or apply for registrations, anywhere in the world, for MRP’s trademarks or any other trademark that is similar to MRP’s trademarks or that incorporates MRP’s trademarks in whole or in confusingly similar part; (v) use any mark, anywhere that is confusingly

similar to MRP’s trademarks in whole or in confusingly similar part; (vi) engage in any action that tends to disparage, dilute the value of or reflect negatively on the Equipment and/or the Services or any of MRP’s trademarks; (vii) misappropriate any of MRP’s trademarks for use as a domain name without prior written consent from MRP; or (viii) alter, obscure or remove any of MRP’s trademarks, or trademark or copyright notices or any other proprietary rights notices placed on the

Equipment, marketing materials or other materials that MRP may provide.

        13.  CONFIDENTIAL INFORMATION. Without the prior written consent of MRP,Buyer, directly or indirectly, shall not disclose (and will direct its directors, shareholders, employees and agents not to disclose) any Confidential Information. The term “Confidential Information” means any information of or relating to MRP or the Equipment and/or the Services not generally known to the public (other than as a result of disclosure in violation of this Agreement) in spoken, printed, electronic or any other form or medium, including, but not limited to, business processes, practices, methods, policies, plans, publications, documents, research, operations, services, strategies, techniques, agreements, contracts, transactions, potential transactions, know-how, trade secrets, databases, manuals, records, supplier information, financial information, accounting information, legal information, marketing information, pricing information, payroll information, personnel information, and supplier lists.

        14.  NON-SOLICITATION. Buyer agrees not to solicit or hire any personnel of MRP involved with the delivery of the Services during the provision of such Services and for twelve (12) months after the completion of such Services; provided, however, that Buyer may hire individuals employed by MRP who, without other solicitation, respond to advertisements or solicitations aimed at the general public.

        15.  EQUITABLE REMEDIES. Buyer acknowledges and agrees that (a) a breach or threatened breach by Buyer of any of its obligations under Sections 13 or 14 would give rise to irreparable harm to MRP for which monetary damages would not be an adequate remedy and (b) in the event of a breach or a threatened breach by Buyer of any such obligations, MRP shall, in addition to any and all other rights and remedies that may be available to MRP at law, at equity, or otherwise in respect of such breach, be entitled to equitable relief, including a temporary restraining order, an injunction, specific performance, and any other relief that may be available from a court of competent jurisdiction, without any requirement to post a bond or other security, and without any requirement to prove actual damages or that monetary damages will not afford an adequate remedy. Buyer agrees that Buyer will not oppose or otherwise challenge the appropriateness of equitable relief or the entry by a court of competent jurisdiction of an order granting equitable relief, in either case, consistent with the terms of this Section 15.

        16.  INDEMNIFICATION. Buyer agrees to indemnify, defend and hold harmless MRP and its directors, shareholders, employees and agents (collectively, “MRP Indemnitees”) against any liability, damage, loss or expense incurred by or imposed in connection with any claims, suits, actions, demands or judgments arising out of (a) any breach or non-fulfillment of any representation, warranty or covenant set forth in this Agreement by Buyer or its directors, managers, employees or agents (collectively, “Buyer’s Agents”); (b) any negligent act or omission or willful misconduct of Buyer or Buyer’s Agents in connection with this Agreement; (c) any bodily injury, death of any person or damage to real or tangible personal property caused by Buyer or Buyer’s Agents, including the use of unauthorized parts in or service of the Equipment; (d) any failure by Buyer or Buyer’s Agents to comply with any applicable laws; (e) any fraud or other intentional acts by Buyer or Buyer’s Agents; and (f) the use or operation of the Equipment, including, without limitation, any medical and/or surgical procedures performed by Buyer, and any of Buyer’s Agents, using the Equipment unless said damages are determined by a court of competence jurisdiction to be solely by the gross negligence of MRP or solely as result of a breach by MRP of the limited warranties contained herein.

        17.  DEFAULTS; REMEDIES. Notwithstanding anything herein to the contrary, should Buyer fail to pay for the order or any other amount, in whole or in part, when due or perform its other obligations under this Agreement or as otherwise mutually agreed in writing between Buyer and MRP (each, a “Default”), then MRP may take any and all actions available under law or equity to collect said amounts with a ten (10) day prior written notice, including, but not limited to, enforcing its security interest, accelerating the payment of and declaring immediately due and payable any unpaid balance of the order, referral to outside collection agencies and/or commencement of legal action. MRP’s rights shall be cumulative, and it shall not be required to have attempted to realize upon to the Equipment before taking any other collection actions. MRP may require that Buyer assemble and return any or all of the Equipment to MRP and, in the event Buyer fails to return such Equipment peaceably, enter upon the premises where such Equipment is located, with or without legal process, and repossess such Equipment. Upon a Default, Buyer agrees to pay upon MRP’s demand: (i) all costs and expenses incurred by MRP or its assignee in connection with the enforcement of any remedies, including all expenses incurred in connection with the return, sale, release or other disposition of the Equipment, including attorneys’ fees and other costs incurred by MRP or its assignee in enforcing or defending its rights and remedies under this Agreement and any other written agreement between Buyer and MRP.

        18.  COMPLIANCE WITH LAWS. Buyer shall (a) carry out the transactions contemplated by this sale and deal with the Equipment in conformity with all applicable laws, rules and regulations of all government authorities, including, without limitation, export laws, (b) obtain all permits and licenses required in connection with the purchase, shipment, installation or use of the Equipment, and (c) be solely responsible to fully understand and comply with laws, rules and regulations. Any information provided is as a convenience only.

        19.  FURTHER ASSURANCES. Upon MRP’s reasonable request, Buyer shall, at its sole cost and expense, execute and deliver all such further documents and instruments, and take all such further acts, necessary to give full effect to this Agreement.

        20.  ASSIGNMENT; SUCCESSORS AND ASSIGNS. Buyer cannot delegate any duties nor assign any rights or claims under this Agreement without MRP’s prior written consent, and any such attempt or assignment shall be void. In the event that Buyer finances its acquisition of any Equipment with a third party, Buyer may direct MRP to transfer title of such Equipment to such third-party financing company, with all remaining terms and conditions of this Agreement remaining in full force and effect. This Agreement is binding on and inures to the benefit of the parties to this Agreement and their respective permitted successors and permitted assigns.

        21.  NO THIRD-PARTY BENEFICIARIES. Subject to Section 16, this Agreement benefits solely the parties to this Agreement and their respective permitted successors and assigns, and nothing in this Agreement, express or implied, confers on any other person any legal or equitable right, benefit, or remedy of any nature whatsoever under or by reason of this Agreement.

        22.  GOVERNING LAW; VENUE. The application of the UN Convention on Contracts for the International Sale of Goods is expressly excluded. The parties agree that any and all claims, demands, disagreements, controversies or disputes arising out of or relating to this Agreement and any agreement or document delivered in connection herewith (collectively, “Claims”) shall be governed by and construed in accordance with the laws of the State of Utah and adjudicated exclusively in the state and federal courts located in or nearest to Summit County, Utah, which courts shall have the sole and exclusive jurisdiction and venue for adjudication of all Claims. The parties hereby agree upon, consent and stipulate to the jurisdiction and venue of the aforementioned courts for the adjudication of all Claims, to the exclusion of all other courts, forums and venues whatsoever.

        23.  NON-DISPARAGEMENT. Buyer shall not disparage MRP or MRP’s trademarks, websites, products or services, or display any such items in a derogatory or negative manner on any website or in any public forum or press release.

        24.  NOTICES. Any notice, demand, or communication required, permitted or desired to be given hereunder shall be deemed effectively given when personally delivered, when sent by electronic means, when received by overnight courier, or when mailed by prepaid, certified or registered mail, return receipt requested, addressed to the other party at its address set forth on the Quote or to such other address that the receiving party may designate from time to time in accordance with this Section 25.

        25.  PUBLIC ANNOUNCEMENTS. Unless otherwise stated herein, neither party shall issue a press release or otherwise advertise, make a public statement or disclose to any third-party information pertaining to the relationship arising under this Agreement, the existence or terms of this Agreement, the underlying transactions between MRP and Buyer or agent for Buyer or refer to the other party in relation to this Agreement without the other party’s prior written approval.

        26.  ENTIRE AGREEMENT; ADDITIONAL OR INCONSISTENT TERMS. Subject to Section 32, this Agreement constitutes the sole and entire agreement between the parties hereto relating to the subject matter hereof, and any unincorporated representation, affirmation of fact, course of prior dealings, promise or condition in connection therewith, or usage of the trade, shall not be binding on either party. Terms and conditions set forth which differ from, conflict with or are not included in this Agreement shall not be part of any agreement between MRP and Buyer unless both parties specifically accept such terms and conditions in writing.

        27.  WAIVER. No waiver under this Agreement is effective unless it is in writing and signed by the party waiving its right. Any waiver authorized on one occasion is effective only in that instance and only for the purpose stated and does not operate as a waiver on any future occasion. None of the following constitutes a waiver or estoppel of any right, remedy, power, privilege or condition arising from this Agreement: any failure or delay in exercising any right, remedy, power or privilege or in enforcing any condition under this Agreement; or any act, omission or course of dealing between the parties.

        28.  SURVIVAL. Subject to the limitations and other provisions of this Agreement, the representations and warranties of Buyer contained herein shall survive the expiration or earlier termination of this Agreement for a period of twelve (12) months after such expiration o termination and (b) this Section 29 and Sections 10, 12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 26, and 32 of this Agreement, as well as any other provision that, in order to give proper effect to its intent, should survive such expiration or termination, shall survive the expiration or earlier termination of this Agreement. All other provisions of this Agreement shall not survive the expiration or earlier termination of this Agreement.

        29.  RELATIONSHIP OF PARTIES. Nothing in this Agreement creates any agency, joint venture, partnership or other form of joint enterprise, employment or fiduciary relationship between the parties. Neither party has any express or implied right or authority to assume or create any obligations on behalf of or in the name of the other party or to bind the other party to any contract, agreement or undertaking with any third party.

        30.  HEADINGS. The headings in this Agreement are for reference only and do not affect the interpretation of this Agreement.

        31.  ORDER OF PRECEDENCE. In the event of conflict between the Quote, a written agreement by MRP, and these Terms, the order of priority shall be: (1) the written

agreement by MRP, if only if executed by an MRP Officer, (2) the Quote and (3) these Terms, and only to the extent of the direct conflict. Notwithstanding the foregoing, MRP shall not be bound by, and specifically objects to, any terms, conditions or other provisions, both written and oral, which are different from, in addition to or inconsistent with the provisions of this Agreement which are set forth in any purchase order, receipt, acceptance, confirmation, correspondence or otherwise of, or by, Buyer. Fulfillment of Buyer’s order shall not constitute acceptance of any of Buyer’s terms and conditions and does not serve to modify or amend the terms and conditions contained herein.

        32.  SEVERABILITY. If any part of this Agreement is held to be void, illegal or unenforceable, then it shall be deemed to be severed from this Agreement and the remaining provisions shall continue in full force and effect; provided, however, that if any fundamental term or provision of this Agreement is held to be void, illegal or unenforceable, the remainder of this Agreement shall be unenforceable. Upon a determination that any term or provision is void, illegal or unenforceable, the parties shall negotiate in good faith to modify this Agreement to effect the original intent of the parties as closely as possible in order that the transactions contemplated hereby be consummated as originally contemplated to the greatest extent possible.